Sarun is thrice as old as his sister Anita. If five years is subtracted (5) from Anita’s age and seven years added to Sarun’s age , then
Sarun will be five times Anita’s age. How old were they three years ago?

Answers

Answer 1

Answer: Let's start by using algebra to represent the given information.

If we let "a" be Anita's current age, then we know that Sarun's current age is 3a (since he is thrice as old as Anita).

According to the problem, if we subtract 5 years from Anita's age and add 7 years to Sarun's age, then Sarun will be 5 times Anita's age. In other words, we have the equation:

3a + 7 = 5(a - 5)

Simplifying and solving for a, we get:

3a + 7 = 5a - 25

32 = 2a

a = 16

So Anita is currently 16 years old, and Sarun is 3 times as old, or 48 years old.

To find out how old they were three years ago, we simply subtract 3 from their current ages:

Anita was 13 years old three years ago (16 - 3), and Sarun was 45 years old (48 - 3).

Step-by-step explanation:


Related Questions

A price was first decreased by 12%, then it was decreased again by an additional 5%. What is the percent of the total decrease?
The answer is not 17%.
Please help!!!!

10 PTS

Answers

Answer:

83.6%

Step-by-step explanation:

Let's say the original price is x

x decreased by 12% means 88% of x is left.

0.88x decreased by 5% means 95% of 0.88x is left.

This means the answer is: 0.88x * 0.95 = 0.836

The percent of the total decrease is 83.6%

Hope this helps :)

Have a great day!

~~~~~~~~~~~~~~~~~~~~~~~~~~ Solve PLS ~~~~~~~~~~~~~~~~~~~~~~~~~~

Answers

Answer:

[tex]\frac{xa}{28}[/tex]

Step-by-step explanation:

   [tex]\frac{4x^2}{y7a^3} * \frac{a^4}{16+8x}[/tex]

= [tex]\frac{2x(2+x)}{7a^3} * \frac{a^4}{8(2+x)}[/tex]

= [tex]\frac{xa}{28}[/tex]

[tex]\frac{x^{2}a }{28}[/tex]

Explination:

Factor the numerator and the denominator and cancel the common factors

You have $3,200 to invest in stocks. You purchase shares for $11.95/sh. You decide to sell the stock at $11.87/sh?
How much did you net with this transaction?
A $21.36
B $30.71
C $11.87
D $0.08

Answers

Therefore, the net result of the transaction is a loss of $21.36. The answer is A) $21.36.

What is selling price?

Selling price refers to the price at which a product or service is sold to customers or clients. It is the amount of money that a buyer pays to the seller in exchange for the product or service. The selling price is usually higher than the cost of producing or acquiring the product or service, and the difference between the selling price and the cost is the profit earned by the seller. In some cases, the selling price may also include additional charges such as taxes, shipping fees, or handling fees.

by the question.

To calculate the net result of the transaction, we need to determine how many shares were purchased with the $3,200 investment.

$3,200 divided by $11.95/sh = approximately 267.36 shares (rounded to the nearest hundredth)

Therefore, the total cost of purchasing 267 shares at $11.95/sh is:

267 shares x $11.95/sh = $3,195.65

The total revenue from selling 267 shares at $11.87/sh is:

267 shares x $11.87/sh = $3,174.29

To determine the net result of the transaction, we subtract the total revenue from the total cost:

$3,174.29 - $3,195.65 = -$21.36

To learn more about cost:

https://brainly.com/question/30045916

#SPJ1

Dewayne missed four of the 30 problems on the problem set. What
percent of the problems did Dewayne answer correctly?

Answers

Answer:

75% correct

Step-by-step explanation:

Write the expression in complete factored
form.
b2(p + 3) + q(P + 3) =

Answers

We can factor out the common factor of (p + 3) from both terms in the expression:

b^2(p + 3) + q(p + 3) = (p + 3)(b^2 + q)

Therefore, the complete factored form of the expression is (p + 3)(b^2 + q).

I need some help with this​

Answers

Answer:

148.5 π

Step-by-step explanation:

Cone = 1/3 * base * height

1/3 * 22 * (9/2)^2 π = 148.5 π

4. A parking lot in the shape of a trapezoid has an area of 2,930. 4 square meters. The length of one base is 73. 4 meters, and the length of the other base is 3760 centimeters. What is the width of the parking lot? Show your work

Answers

The width of the automobile parking space is 52.8 meters.

First, we want to convert the duration of the second one base from centimeters to meters

3760 cm = 37.6 m

Subsequent, we're suitable to use the system for the vicinity of a trapezoid

A = ( b1 b2) h/ 2

In which b1 and b2 are the lengths of the two bases, h is the height( or range) of the trapezoid, and A is the area.

Substituting the given values, we have

= (73.437.6) h/ 2

= 111h/ 2

Multiplying both angles through 2 and dividing by 111, we get

h = 52.8

Hence, the width of the automobile parking space is 52.8 meters.

Learn more about Area of a trapezoid formula:-

https://brainly.com/question/26487711

#SPJ4

a spinner has three sections. the table shows the results of spinning the arrow on the spinner 80 times. what is the experimental probability of the arrow stopping over section 1? responses 128 1 over 28 720 7 over 20 713 7 over 13 45 4 over 5 section 1section 2section 3 283616

Answers

The experimental probability of the arrow stopping over section 1 is 7/13, or 0.538.

To calculate this, you need to take the number of times the arrow stopped on section 1 (45) and divide it by the total number of times the arrow was spun (80). This can be expressed as a fraction (45/80), which can be simplified to 7/13. To convert this fraction to a decimal, divide the numerator by the denominator (7/13 = 0.538).

for more questions related to experimental probability, refer here:

https://brainly.com/question/30694293#

#SPJ11

an actuary has discovered that policyholders are five times as likely to file two clams as to file four claims. if the number of claims filed has a poisson distribution, what is the variance of the number of claims filed?

Answers

The number of claims filed by the policyholders has a poisson distribution. Therefore, the variance of the number of claims filed will be about 2.5.

What is the variance?

We need to use the Poisson Distribution for solving the question, which is as follows:

P(x) = (λˣ/x!) × [tex]e^(-lambda)[/tex]

where is the mean value of distribution and x is the number of events we want to calculate.

If a random variable follows a Poisson distribution, its variance is equal to its mean.

So, the mean will be λ.

Let the probability of filing four claims be p1.

Then, probability of filing two claims will be ⁵p₁

We know the sum of probabilities of different events of Poisson distribution will always be equal to 1.

So,

p₁ + ⁵p₁ = 1

p₁ = 1/6

The mean number of claims is λ, which is given by:

Now, the variance of the Poisson distribution is also λ.

So, the variance of the number of claims filed is 2.5.

Hence, the answer is variance of the number of claims filed is 2.5.

The mean number of claims is λ, which is given by:

λ = ⁴p₁ + 2⁵p₁ = 2.5

Now, the variance of the Poisson distribution is also λ.

So, the variance of the number of claims filed is 2.5.

Hence, the answer is variance of the number of claims filed is 2.5.

Learn more about Variance here:

https://brainly.com/question/14116780

#SPJ11

Enter the correct answer for the box.

Answers

Making r the subject of formula in this equation A = V²/r gives r = V²/A.

How to calculate centripetal acceleration?

In Mathematics and Science, the centripetal acceleration of a physical object (body) can be calculated by using the following mathematical expression:

A = V²/r

Where:

A represent the centripetal acceleration.r represent the distance (radius) from a circular track.V represent the velocity of a physical object (body).

In this exercise, you are required to make radius (r) the subject of formula. Therefore, by making radius (r) the subject of formula, we have the following:

Radius, r = V²/A

Read more on centripetal acceleration here: https://brainly.com/question/24373514

#SPJ1

Angela took a general aptitude test and scored in the 87th percentile for aptitude in accounting. What percentage of the scores were at or below her score? (b) What percentage were above?

Answers

Angela's score is in the 87th percentile, which means that 87% of the scores were at or below her score.

To calculate the percentage of scores above her score, we subtract 87% from 100%. Therefore, the percentage of scores above Angela's score is 13%.

In summary, Angela's score is at or below 87% of the scores, and 13% of the scores are above her score. The percentile score indicates the percentage of scores that fall below a particular score. Therefore, Angela performed better than 87% of the test takers who took the aptitude test in accounting.

For more questions like Percentile click the link below:

https://brainly.com/question/13638390

#SPJ11

This is Section 3.2 Problem 2: The cost function, in dollars, for producing $x$ items of a certain brand of barstool is given by C(x)-0.01x3-0.6x2+13x+200 (a) C(x).03r- .12x +13 (b) MC(50)-82 dollars per barstool . It approximately represents the cost of producing the 50 th barstool (c) The exact cost of producing the 51th barstool is C 51 -c50 28.91 dollars (d) Using C(50) and MC (50), the total cost of producing 53 barstools is approximately -Select

Answers

In the following question, the Total cost to production 50 barstools: $1,200 Total cost to produce 51 barstools: $1,228.91 "Total cost to produce 52 barstools: $1,258.44" Total cost to produce 53 barstools: $1,288.59 Therefore, the approximate total cost of producing 53 barstools is $559.15.

The cost function for producing $x$ items of a certain brand of barstool is given by C(x)=0.01x3-0.6x2+13x+200.

(a) C(x)=0.03x3- 0.12x2+13

(b) MC(50)=-82 dollars per barstool.

It approximately represents the cost of producing the 50th barstool.

(c) The exact cost of producing the 51st barstool is C51=C50+MC(50)=$28.91 dollars.

(d) Using C(50) and MC (50), the total cost of producing 53 barstools is approximately C50+(53-50) MC(50)=$229.82.

For more such questions on production

https://brainly.com/question/30388566

#SPJ11

Show that the lines with parametric equations given below are parallel, perpendicular, skew lines or neither. Line 1:x=t−3,y=3t+8,z=5−2tLine2:x=2s−1,y=s−1,z=s−4Refer: Relationship between lines parallel perpendicular skew neither

Answers

To check whether the given lines are parallel, perpendicular, skew or neither, we will find their direction vectors. If the direction vectors are parallel, then the lines are parallel. If the direction vectors are perpendicular, then the lines are perpendicular. If the direction vectors are neither parallel nor perpendicular, then the lines are skew. If the direction vectors of one line is parallel to the vector joining two points of the other line, then the lines are neither parallel nor perpendicular.

Line 1:x=t−3, y=3t+8, z=5−2tThis line can be written as(r_1): r= a_1+ t u_1where r_1 is the position vector of any point on the line. a_1 = i(-3) + j(8) + k(5) = -3i + 8j + 5k is the point of intersection of the line with the coordinate axis. And u_1 is the direction vector of the line.u_1 = i + 3j - 2k

Line 2: x=2s−1, y=s−1, z=s−4This line can be written as(r_2): r= a_2+ s u_2where r_2 is the position vector of any point on the line. a_2 = i(-1) + j(-1) + k(-4) = -i - j - 4k is the point of intersection of the line with the coordinate axis. And u_2 is the direction vector of the line.u_2 = 2i + j + k Now we will find the direction vectors of the two lines and then check their properties. The direction vectors of the lines areu_1 = i + 3j - 2ku_2 = 2i + j + kSince the direction vectors are not parallel, we need to check whether they are perpendicular or not.u_1.u_2 = (i + 3j - 2k).(2i + j + k) = 2 + 3 - 2 = 3Since u_1.u_2 is not equal to zero, the two lines are neither parallel nor perpendicular to each other. Therefore, the lines are skew lines.

for such more questions on coordinate axis

https://brainly.com/question/29298368

#SPJ11

Find an example of a 2×3 matrix A and a 3×2 matrix B such that, letting T(x)=Ax and U(x)=Bx, the composition T∘U is a reflection over the line y=x.

Answers

The example of 2×3 matrix A and a 3×2 matrix B such that, letting T(x)=Ax and U(x)=Bx is reflection Ab.

Matrices, the plural form of matrix, are the groupings of numbers, variables, symbols, or phrases in a rectangular table with varying rows and columns. These are rectangular arrays with specified operations such as addition, multiplication, and transposition. The elements of the matrix are the numbers or entries in it. The horizontal entries of matrices are referred to as rows, whereas the vertical elements are referred to as columns.

Let,

[tex]B = \left[\begin{array}{cc}0&1\\1&0&0&0\end{array}\right] , A = \left[\begin{array}{ccc}1&0&0\\0&1&0\\\end{array}\right][/tex]

Then,

[tex]AB =\left[\begin{array}{ccc}1&0&0\\0&1&0\\\end{array}\right] \left[\begin{array}{cc}0&1&1&0&0&0\\\end{array}\right] \\\\AB = \left[\begin{array}{cc}0&1&1&0\\\end{array}\right][/tex]

Therefore, Ab is reflection about y = x .

As U = Bx and T∘U    

A matrix is a rectangular array of integers, variables, symbols, or expressions that are defined for subtraction, addition, and multiplication operations. The number of rows and columns in a matrix determines its size (also known as the order of the matrix).          

Learn more about Matrix:

https://brainly.com/question/27929071

#SPJ4

List all prime numbers in the 2023 February calendar ​

Answers

The only prime numbers in February are:
1,2,3,5,7,11, 13,17,19,23 and 29, that is 11 in all.

Answer:

6 29 25

Step-by-step explanation:

those are the prime numbers on the 2023 feb calendar

The length of a rope is 0.05hm.Convert the length to cm

Answers

Answer: 500 cm

Step-by-step explanation:

multiply by 0.5 by 10000

Can anyone help with this math problem please? Thanks!

Answers

New width w'$ is 75% of the original width w. Therefore, the width of the land is reduced by 25%, just like the area.

How to find reduced area?

The area of the tennis court is given by:

A = lw

where l is the length of the court and w is the width of the court.

Substituting the given values, we have:

[tex]$$260.7569 = l \cdot 10.97$$[/tex]

Solving for l, we get:

[tex]$l = \frac{260.7569}{10.97} \approx 23.76 \text{ m}$$[/tex]

To find the area of the court without the white bands, we need to subtract the areas of the two white bands from the total area. Since the white bands are on the top and bottom, we need to subtract twice the product of the width of the court and the width of the white band. The width of the white band is not given, but we know that the width of the court will be reduced by 25%, so the new width of the court will be:

w' = w - 0.25w = 0.75w

Substituting the given values, we have:

[tex]$$\begin{aligned}A' &= lw' - 2(0.75w)(l) \ &= l(0.75w) - 1.5wl \ &= 0.5625lw\end{aligned}$$[/tex]

where A' is the new area of the court without the white bands. Substituting the values of l and w that we found earlier, we have:

[tex]$$A' = 0.5625 \cdot 23.76 \cdot 10.97 \approx 146.17 \text{ m}^2$$[/tex]

Therefore, the new area of the court is reduced by 25%.

To find out if the width of the land is also reduced by 25%, we need to compare the original width w with the new width w'. We have:

[tex]$w' = 0.75w$$[/tex]

Dividing both sides by w, we get:

[tex]$\frac{w'}{w} = 0.75$$[/tex]

This means that the new width w'$ is 75% of the original width w. Therefore, the width of the land is reduced by 25%, just like the area.

To know more about Percentage visit:

brainly.com/question/16797504

#SPJ1

Problem 6-29 A quality-control inspector is testing sample outputfrom a production process for widgets wherein 89% of the items aresatisfactory (S) and 11% are unsatisfactory (U). Three widgets arechosen randomly for inspection. The successive quality events maybe assumed independent.
Find the probabilities for the following numbers of unsatisfactoryitems:
(1) Pr(none)=
.71
correct check mark
(2) Pr(exactly 2)= .0154
wrong check mark
(3) Pr(at least 1)= .29
correct check mark
(4) Pr(exactly 1)= .271
wrong check mark
(5) Pr(exactly 3)= .000275
wrong check mark
(6) Pr(at most 2)= .99
correct check mark

Answers

The probabilities for the given event is Pr(exactly 2) = 0.0283. Pr(exactly 1) = 0.2901, and Pr(exactly 3) = 0.001331.

What is probability and odds?

The possibility of an event occurring can be expressed in terms of probability and odds, but they are not the same thing. The ratio of positive events to all conceivable outcomes, represented as a fraction or decimal, is known as probability. On the other hand, odds represent the proportion of good outcomes to those that are unfavourable. Odds can be stated as a ratio, fraction, or by dividing the favourable outcomes by the total number of outcomes to get their equivalent in probability.

The binomial probability is given as:

[tex]P(x) = (nCx) * p^x * (1-p)^{(n-x)}[/tex]

Here, n = 3, p = 0.11, and q = 1 - p = 0.89.

Thus,

[tex]Pr(exactly 2) = P(2) = (3C2) * 0.11^2 * 0.89^{(3-2)} = 0.0283\\Pr(exactly 1) = P(1) = (3C1) * 0.11^1 * 0.89^{(3-1)} = 0.2901\\Pr(exactly 3) = P(3) = (3C3) * 0.11^3 * 0.89^{(3-3)} = 0.001331[/tex]

Hence, the probabilities for the given event is Pr(exactly 2) = 0.0283. Pr(exactly 1) = 0.2901, and Pr(exactly 3) = 0.001331.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ1

andrew is buying a cell phone that has a regular price of $485. the cell phone is on sale for 35% off the regular price. what will be the sale price?

Answers

the sale price of the cell phone after the 35% discount is $315.25.

How to solve and what is sale?

To find the sale price of the cell phone, we need to apply the discount of 35% to the regular price of $485. We can do this by multiplying the regular price by 0.35 and then subtracting the result from the regular price:

Sale price = Regular price - Discount amount

Sale price = $485 - (0.35 x $485)

Sale price = $485 - $169.75

Sale price = $315.25

Therefore, the sale price of the cell phone after the 35% discount is $315.25.

A sale is a temporary reduction in the price of a product or service. Sales are often used by businesses to attract customers and increase sales volume. Sales can be offered for many reasons, such as to clear out inventory, promote a new product, or attract customers during a slow period.

In a sale, the price of a product or service is discounted, either by a fixed amount or by a percentage of the regular price. For example, a store might offer a 20% discount on all clothing items, or a car dealership might offer a $5,000 discount on a particular model of car.

To know more about Selling related questions, visit:

https://brainly.com/question/30615010

#SPJ1

If u dissolve 50 grams of sugar in 30 grams of water what would the sugar concentration be?

Answers

The sugar concentration would be approximately 62.5%.

To find the concentration of sugar in the solution, we need to use the formula:

Concentration = Mass of solute ÷ Volume of solution

In this case, the solute is sugar and the solvent is water. We are given that the mass of sugar is 50 grams and the mass of water is 30 grams. However, we need to convert the mass of water to volume since we need the volume of the entire solution to calculate the concentration.

We can assume that the density of water is 1 g/mL, so the volume of water is 30 mL. The total volume of the solution is therefore 50 mL + 30 mL = 80 mL.

Now we can use the formula to find the concentration of sugar:

Concentration = 50 g ÷ 80 mL ≈ 0.625 g/mL

So the concentration of sugar in the solution is approximately 0.625 grams per milliliter.

learn more about Sugar:

https://brainly.com/question/501165
#SPJ4

If 6 cans of tomatoes cost $9, how much would it cost to buy 8 cans?

Answers

Answer:

$12

Step-by-step explanation:

Cans : Dollars

6 cans : 9 dollars

DIVIDE BY 3

2 cans : 3 dollars

MULTIPLY BY 4

8 cans : 12 dollars

Hope this helps :)

Have a great day!

Which function models the area of a rectangle with side lengths of 2x – 4 units and x + 1 units? What is the area when x = 3?
A. f(x) = 2x2 – 4x + 4; A = 10 B. f(x) = 2x2 + 8x – 4; A = 38 C. f(x) = 2x2 – 8x + 4; A = 2 D. f(x) = 2x2 − 2x − 4; A = 8

Answers

Answer is D. f(x) = 2x^2 -2x -4, A = 8

Step by step

Distribute Multiply (2x -4) (x + 1)

2x^2 + 2x -4x -4
Combine like terms

2x^2 - 2x -4
Substitute value of x =3 into your equation

2 (3^2) - (2)(3) -4

18 - 6 - 4 = 8 units

I would like to know the answer

Answers

Answer:

[tex] \frac{3}{2} {x}^{8} [/tex]

Step-by-step explanation:

[tex] \frac{9 {x}^{16} }{6 {( {x}^{2} )}^{3}{x}^{2} } = \frac{9 {x}^{16} }{6 {x}^{6} {x}^{2} } = \frac{9 {x}^{16} }{6 {x}^{8} } = \frac{3}{2} {x}^{8} [/tex]

please help me I have attached a photo below. thanks for your time ​

Answers

Therefore, the slope of the line passing through the points (0,5) and (2,0) is -5/2.

What is slope?

In mathematics, slope refers to the measure of steepness of a line. It is the ratio of the change in y (vertical change) over the change in x (horizontal change) between any two points on the line. The slope of a line is represented by the letter "m" and can be calculated using the slope formula: m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

Here,

To find the slope of a line, we use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are any two points on the line.

Using the given coordinates, we have:

x1 = 0, y1 = 5

x2 = 2, y2 = 0

slope = (0 - 5) / (2 - 0)

slope = -5/2

To know more about slope,

https://brainly.com/question/29184253

#SPJ1

Please some one help me solve this question.

George needs to take the route as follows .
6km on a bearing of 080° from A to B
5km on a bearing of 160°. From B to C
The scale is 1.5cm= 1km
However, George uses an incorrect scale of 1cm= 1km and ends up at D. What bearing and distance does he need to take to end up at the correct destination of C.​

Answers

It is 5.2 km I think I right

determine the probability of drawing either a queen or a diamond? write your answer as a reduced fraction.

Answers

The probability of drawing either a queen or a diamond is 15/52

How do we calculate the probability?

To determine the probability of drawing either a queen or a diamond, we have to find the sum of the probabilities of drawing a queen and drawing a diamond, then subtract the probability of drawing both a queen and a diamond. This is because the probability of drawing both a queen and a diamond has been added twice when we added the individual probabilities.

Thus, we have:P(queen or diamond) = P(queen) + P(diamond) - P(queen and diamond)

The probability of drawing a queen is 4/52, since there are four queens in a deck of 52 cards. The probability of drawing a diamond is 13/52, since there are 13 diamonds in a deck of 52 cards.

There are two ways to draw a card that is both a queen and a diamond, namely the queen of diamonds and the diamond queen. Thus, the probability of drawing both a queen and a diamond is 2/52. Therefore, P(queen or diamond) = 4/52 + 13/52 - 2/52 = 15/52 = 15/4 = 3.75 As a reduced fraction, this is 15/52.

See more about probability at: https://brainly.com/question/24756209

#SPJ11

Multiple-choice questions each have five possible answers(a,b,c,d,e),one of which is correct. Assume that you guess the answers to 3 such problem:a. Use the multiplication rule to find the probability that the first 2 guesses are wrong and the 3rd is correct.b. Beginning with 2wrong and 1 correct,(WWC), make a complete list of all possibilities of 2 wrong and 1 correct, then find the probability for each.c. Based on the preceding results, what is the probability of getting exactly one correct answer when 3 guesses are made?

Answers

a. The probability of guessing a wrong answer is 4/5

Since there are three guesses, the probability of the first 2 guesses being wrong and the 3rd being correct can be calculated using the multiplication rule as follows: P(2 wrong and 1 correct) = (4/5)^2 * 1/5 = 0.128.

b. The complete list of possibilities for 2 wrong and 1 correct is: WWC, WCW, CWW.

The probability of each can be calculated using the multiplication rule as follows: P(WWC) = (4/5)^2 * 1/5 = 0.128, P(WCW) = (4/5) * (1/5) * (4/5) = 0.128, and P(CWW) = 1/5 * (4/5)^2 = 0.128.

c. The probability of getting exactly one correct answer when 3 guesses are made is the sum of the probabilities of the three possible outcomes of 2 wrong and 1 correct, which is 0.128 + 0.128 + 0.128 = 0.384.

For more questions like Probability click the link below:

https://brainly.com/question/30034780

#SPJ11

To get the 10% discount, a shopper must spend at least $400.
Use d to represent the spending (in dollars) of a shopper who gets the discount.

Answers

Answer:

The shopper must spend at least $444.44 to get the 10% discount.

Step-by-step explanation:

If a shopper gets a 10% discount, it means they pay only 90% of the original price. Let's say the original spending is represented by x. Then the spending after the 10% discount would be:

d = 0.9x

Now, we know that the shopper must spend at least $400 to get the discount, so we can set up an inequality:

d ≥ 400

Substituting the expression we found for d, we get:

0.9x ≥ 400

Dividing both sides by 0.9, we get:

x ≥ 444.44

So the shopper must spend at least $444.44 to get the 10% discount.

An equation y= a(x+2)(x-6) and passes through (7,27) what is the value of a

Answers

Answer:

a = 3

Step-by-step explanation:

since the parabola passes through (7, 27 ) then te coordinates of the point make the equation true.

substitute x = 7 and y = 27 into the equation and solve for a

27 = a(7 + 2)(7 - 6) = a(9)(1) = 9a ( divide both sides by 9 )

3 = a

D. A population of rabbits is doubling every 3 months. If there were 2 rabbits to begin
with, how many will there be after 5 years?

Answers

There will be a population of 2,097,152 rabbits after 5 years.

What is exponential growth?

A form of growth known as exponential growth occurs when a quantity's rate of expansion is proportionate to its present value. In other words, a quantity expands more quickly the greater it is. A prime example of exponential expansion is the rabbit population, which doubles in size every three months.

Given that, population of rabbits is doubling every 3 months.

That is,

5 years = 5 x 12 = 60 months

Number of doublings = 60 / 3 = 20

For every doubling, the population will be twice as large.

Thus,

P = 2 x 2²⁰ = 2 x 1,048,576 = 2,097,152 rabbits

Therefore, there will be approximately 2,097,152 rabbits after 5 years.

Learn more about exponential growth here:

https://brainly.com/question/11487261

#SPJ1

Other Questions
thomas alva edison invented the electric light buld. think about what like was before the invention make our life comment today now would your life be if the light buld was not invented write your answer in paragraph form Does anyone know if I can dye the outside of my soeaker were there is spills showing? In order to join more than two datasets with only visual recipes, which of the following solutions is correct and why? It is not possible to join more than two datasets at a time with the Join recipe. Perform multiple Join recipes instead. Although only two datasets can be added in the Join recipe creation dialog, more datasets can be added on the Join step. Provided it is a left join, a single Join processor of the Prepare recipe is capable of joining more than two datasets at a time. None of these. When solving the equation 3(x-2)=-12, what is a possible first step? A) Distributing the 3 into each term of the parenthesis.B) She could either divide by 3 or distribute 3 into the parenthesisC) Adding 2 to each side of the equationD) Subtracting 2 on each side of the equationE) Dividing each side of the equation by 3F) none of the answer choices tell what the first step could be. using principles from the chapters on groups and teams, describe how you will advise the team to manage conflict effectively What does the touring test determine? Which of the following bonds would be the most polar without being considered ionic?a. F-Hb. Na-Fc. S-Hd. Cl-He. O-H As a purchasing professional, what is your most important position?Monitor inventorChoosing the right supplierGetting the lowest priceCheck deliveries for accuracyAll of the above how many square tiles are shaded and not shaded for the 8th figure? match the name of the kingdom found in the domain eukarya on the left with an example from the right. b PLEASE HELP ME THIS IS PAST DUE AND I NEED TO GET MY GRADE UP in the massachusetts bay colony, town hall meetings were established for what purpose? c) HBrO3 is a stronger acid than HBrO2 The COSO definition states that internal control is designed to provide _________ regarding the achievement of objectives in three categories. The government is running a budget balance of zero when it decides to increase education spending by$200billion and finance the spending by selling bonds. The accompanying diagram shows the market for loanable funds before the government sells the bonds. Assume that there are no capital inflows or outflows. As a result of the increase in education spending, the equilibrium interest rate _____ by ____ percentage points, and the equilibrium quantity of loanable funds ______ by ____ billion dollars. This ____ an example of crowding out. Many employers in the U.S. pay significant amounts towards their employees health insurance premiums. If the benefit cost per full-time employee rises (e.g. when the insurer raises premiums) and the employer does not want the total cost of the employees compensation (wage + benefits) to rise, all of the following would represent valid options for the employer to consider, excepta) Replacing some full-time employees with part-time workers.b) Laying off some of the full-time employees and instituting mandatory overtime for the remaining full-time employees (assuming overtime is paid at the same wage rate as regular work hours).c) Prohibiting fulltime employees to work overtime and hire temporary part-time workers to work those extra hours instead (assuming overtime is paid at the same wage rate as regular work hours).d) Increasing full-time employees contribution towards premiums; not changing wages.e) Not changing full-time employees contribution towards premiums; decreasing wages. 5. (10 pts) The shedding frequency based on the analysis of Question 3 is to be determined through the use of a small-scale model to be tested in a water tunnel. For the specific bridge structure of interestD=20 cmandH=300 cm, and the wind speedVis25 m/s. Assume the air is at MSL ISA conditions. For the model, assume that D m=2 cm. (a) Determine the length of the model Hm needed for geometric scaling. (b) Determine the flow velocity Vm needed for Reynolds number scaling. (c) If the shedding frequency for the model is found to be 27 Hz, what is the corresponding frequency for the full-scale structural component of the bridge? Notes: Refer to the eBook for the properties of air. Assume the density of water rho H2O= 1000 kg/m3 and the dynamic viscosity of water H2O=110^3 kg/m/s. chytridiomycosis is a fungal disease first identified in 1998 as a cause of massive amphibian deaths. in some severely impacted populations, a few individuals have survived, perhaps because of some natural resistance. if these resistant individuals continue to survive and prosper, new resistant populations might emerge. this would be an example of . read the following scenario to answer the following question. over the past 60 years, many amphibian species have experienced significant population declines, and some species have become extinct. scientists suspected that local human activities such as the destruction of wetlands, regional pollution, and deforestation were the main reasons for these losses. however, research over the past 20 years reveals significant amphibian population declines in protected areas of the world, such as nature preserves and parks. these global declines suggest widespread problems including increased ultraviolet radiation, acid rain, and disease. in switzerland, for example, 14 of the 20 native amphibian species are threatened with extinction. chytridiomycosis is a fungal disease first identified in 1998 as a cause of massive amphibian deaths. in some severely impacted populations, a few individuals have survived, perhaps because of some natural resistance. if these resistant individuals continue to survive and prosper, new resistant populations might emerge. this would be an example of . sexual selection natural selection genetic drift the founder effect what is the area of ABC Liberals tend to prefer _____, while conservatives tend to prefer _____.A. more government; less governmentB. less government; more governmentC. less polarization; more polarizationD. more polarization; less polarization