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The sum of the balances of these accounts at the end of 5 years is given by: Option B: $53,901.59 (approx)

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]

The final amount becomes:

[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

For the considered case, we're given that:

In first account, the final amount at the end of 5 years is evaluated as:

[tex]A = 24000(1 + \dfrac{2.4}{100})^4 = 24000(1.024)^4 \approx 27021.59\: \rm (in \: dollars)[/tex]

In second account,  the final amount at the end of 5 years is evaluated as:

[tex]A = 24000 + \dfrac{24000 \times 2.4 \times 5}{100} = 24000 + 2880 = 26880 \text{\: (in dollars)}[/tex]

Total amount after 5 years in these accounts = [tex]27021.59 + 26880 = 53901.59[/tex] (in dollars)

Thus, the sum of the balances of these accounts at the end of 5 years is given by: Option B: $53,901.59 (approx)

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Since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.

A regular polygon is any n-sided polygon that has equal interior angles and equal sides.

Thus:

Therefore:

x = 360 - 120 - 108

x = 132°

Thus, since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.

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The probability that a point is not on AB is the probability that a point is on BC

The probability that a point is not on AB or CD is 5/14

From the figure, we have the following parameters:

AD = 28

AB = 12

BC = 10

CD = 6

if a point is not on AB or CD, then the point would be on BC

This means that we calculate the probability that a point is on BC

So, we have:

P(BC) = BC/AD

This gives

P(BC) = 10/28

Simplify

P(BC) = 5/14

Hence, the probability that a point is not on AB or CD is 5/14

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Answer: Correct answers are B, D,E

Step-by-step explanation:

The table is an illustration of a quadratic regression model

The function that best models the data is y = -60.4x^2 +348.1x -334.2

To determine the function that models the data, we make use of a graphing calculator.

Using the graphing calculator, we have the following calculation summary

a = -60.4

b = 348.1

c = -334.2

A quadratic regression model is represented as:

y = ax^2 + bx + c

So, we have:

y = -60.4x^2 +348.1x -334.2

Hence, the function that best models the data is y = -60.4x^2 +348.1x -334.2

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Answer:

Austin is the capital of Texas

Step-by-step explanation:

Answer:

Equation= 10+6x=4x-4

Answer= x is -7

Step-by-step explanation:

to get the equation of any straight line we simply need two points off of it, hmm let's get two from this table

[tex]\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 0&4\\ 1&10\\ 2&16\\ 3&22\\ 4&28\\ \cline{1-2} \end{array} \begin{array}{llll} \\ \leftarrow \textit{let's use this point}\\\\ \leftarrow \textit{and this point} \end{array}[/tex]

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{22}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{22}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{12}{2}\implies 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{6}(x-\stackrel{x_1}{1}) \\\\\\ y-10=6x-6\implies y=6x+4[/tex]

Answer:

Step-by-step explanation:

1- Distribute

2-Combine like terms

3. divide on both sides

4- subtract from both sides

Answer:

90

Step-by-step explanation:

Step 1:

2/5x + 10 = 30      Equation

Step 2:

2/5x = 20      Subtract 10 on both sides

Step 3:

x = 20 ÷ 2/5     Divide

Step 4:

x = 20 × 5/2     Multiply

Answer:

x = 90

Hope This Helps :)

Answer:

The answer is C.9

Step-by-step explanation:

in order to fine the mean using number data you need to add all the number then divide by that much numbers. So for example 10+12+11+10+7+6+7 would equal 63. So since you have 7 numbers of data, you need to divide 7 and 63 (7÷63). 7÷63 equals 9. So therefore the answer is C.9.

Answer:

its either 10% off or 25% off

Step-by-step explanation: sorry if this wasnt helpfull

Answer:

5X+27=15

5x=12

x=5/12

I believe

Answer:

3/5≤ x ≤ 9/5

Step-by-step explanation:

pls heart and give me brainliest i would really appreciate it

Answer: After 5 years it’ll cost  $90.767.

Step-by-step explanation:

The logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.

A log function is a way to find how much a number must be raised in order to get the desired number.

[tex]\rm a^c=b[/tex] can be written as [tex]\rm log_ab=c[/tex].

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Given to us

2⁵ = 32

As we know that we can convert a number powered to another number therefore exponential function into a log function, thus,

[tex]\rm 2^5=32\\\\log_25=5[/tex]

Hence, The logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.

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Answer:

The length of the ladder is 10:44 meters.

Step-by-step explanation:

Base of the ladder is 3 meters away from the house. So base =3 m

one side 10 meters and base is 3 meters

Answer:

its not b

Step-by-step explanation:

its c 27160 we went over this with my teacher

Answer:

C. 108

Step-by-step explanation: This is the correct answer on Edge 2021, just took the quiz and made a 100%. Hope this helps ^-^.

The value of 'x' is 108° . Option C

From the illustration,

Angle RQS is at Q = x degrees

Angles KLM is at L = x - 36 degrees

Note that they are corresponding angles

Corresponding angles sum up to 180°

Then equate both angles to 180 degrees

x + x - 36 = 180°

Collect like terms

2x = 180 + 36

2x = 216

Make 'x' subject of formula

x = 216 / 2

x = 108°

Therefore, the value of 'x' is 108° . Option C

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Answer:  The factory would make 324 quarts of ice cream every 12 hours.

They make 27 quarts of ice cream per hour, so if they made ice cream for 24 hours, they would be making 648 quarts every day.

Step-by-step explanation:

You would find how may quarts they make an hour by dividing 270 by 10 hours, which brings you out to 27 quarts an hour.

Answer:

5x+6

Step-by-step explanation:

Im not sure if its 3*2 (like multiplying) or 3x times 2?

she has earnt 1000 x 3,5% = $35

Answer:

Step-by-step explanation:

f(-5) = -(-5) + 1

        = 5 +1

        = 6

Answer:

f(-5) = -(-5) + 1

       = 5 +1

       = 6

Step-by-step explanation:

can i maybe get branlyest i only have 1 one rn it would help

Answer: 1/4

Step-by-step explanation:

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

         = (6 - 5) / (5 - 1)

         = 1/4

Answer:

Step-by-step explanation:

The best way to check a question like this one is to graph it. I've done that for you. The red line is the parent function; the blue line is parent shifted 4 units left.

Yes, you are right.

Answer:

-18

Step-by-step explanation:

4bc-b

Let b = -3 and c=2

4 * (-3)* 2 - (-3)

-24 +6

-18

Answer:

-21

Step-by-step explanation:

4(-3)2-(-3)

Answer:

distance is 21.4 miles

Step-by-step explanation:

add all numbers together

Answer:

21.4

Step-by-step explanation:

3+3+3+2+6.4+4

=6+3+2+6.4+4

=9+2+6.4+4

=11+6.4+4

=17.4+4

=21.4

Scientists are examining two different strains of a particular bacteria. The length of one strain of the bacteria measures 0.000000368

mm, while the length of the second strain measures 0.000000064 mm. How much larger is the first strain than the second?

We can figure this out using scientific notation.

[tex]0.000000368 - 0.000000064[/tex]

[tex]= 3.04e-7[/tex]

Put 3.04e-7 in standard notation.

[tex]0.00000304[/tex]

Put 0.00000304 back into scientific notation, instead with a multiply sign.

Move the dot back, making the number in between 1-10.

In this case, we would move it back 7 times.

[tex]3.04[/tex] · [tex]10x^{-7}[/tex]

So the answer would be A.

Answer:

18

Step-by-step explanation:

product of prime factors

9=3^2

18=2*3^2

LCM of 9 and 18 = 2*3^2

=18

Answer: 98 Degrees

Step-by-step explanation: A straight line is 180 degrees so, Take 180 minus 82 : 180 - 82 = 98 Degrees

Answer:

(b) What is the probability that exactly two of the three friends will sit next

to each other?

7E-10 You and two of your friends are in a group of 10 people. The group is

randomly split up into two groups of 5 people each. Specify an appropriate

sample space and determine the probability that you and your two friends

are in the same group.

7E-11 You are dealt a hand of four cards from a well-shuffled deck of 52

cards. Specify an appropriate sample space and determine the probability

that you receive the four cards J, Q, K, A in any order, with suit irrelevant.

7E-12 You draw at random five cards from a standard deck of 52 cards.

What is the probability that there is an ace among the five cards and a king

or queen?

7E-13 Three balls are randomly dropped into three boxes, where any ball is

equally likely to fall into each box. Specify an appropriate sample space and

determine the probability that exactly one box will be empty.

7E-14 An electronic system has four components labeled as 1, 2, 3, and 4.

The system has to be used during a given time period. The probability

that component i will fail during that time period is fi

for i = 1, . . . , 4.

Failures of the components are physically independent of each other. A

system failure occurs if component 1 fails or if at least two of the other

components fail. Specify an appropriate sample space and determine the

probability of a system failure.

7E-15 The Manhattan distance of a point (x, y) in the plane to the origin

(0, 0) is defined as |x| + |y|. You choose at random a point in the unit square

{(x, y) : 0 ≤ x, y ≤ 1}. What is the probability that the Manhattan distance

of this point to the point (0, 0) is no more than a for 0 ≤ a ≤ 2?

7E-16 You choose at random a point inside a rectangle whose sides have the

lengths 2 and 3. What is the probability that the distance of the point to the

closest side of the rectangle is no more than a given value a with 0 < a < 1?

7E-17 Pete tosses n + 1 fair coins and John tosses n fair coins. What is the

probability that Pete gets more heads than John? Answer this question first

for the cases n = 1 and n = 2 before solving the general case.

7E-18 Bill and Mark take turns picking a ball at random from a bag con-

taining four red balls and seven white balls. The balls are drawn out of the

bag without replacement and Mark is the first person to start. What is the

probability that Bill is the first person to pick a red ball?

3