Answer:
₹ 318.96.
Step-by-step explanation:
24/12 = 2 , so twice as much;
159.48 * 2 = 318.96
3) Kristin's grandparents started a savings account for her when she was born. They invested $500 in an account that pays 8% interest compounded annually. Write an equation to model the amount of money in the account on Kristin's xth birthday. a. b. How much money is in the account on Kristin's 16th birthday? (Show how you got your answer!)
The total amount accrued, principal plus interest, with compound interest on a principal of $500.00 at a rate of 8% per year compounded 1 times per year over 16 years is $1,712.97.
Compound interestGiven Data
Principal = $500Rate = 8%Time = 16 yearsA = P + I where
P (principal) = $500.00
I (interest) = $1,212.97
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 500.00(1 + 0.08/1)^(1)(16)
A = 500.00(1 + 0.08)6(16)
A = $1,712.97
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help please A.) runner a
b.) runner b
C.) runner c
Answer:
Runner A is more consistent as all of the dots are close to the line unlike Runner B or C
Please help! Will mark brainliest <3. (Click on the photo too see the question!) you need to select all angle pairs that are vertical angles.
Answer:
B and D
Step-by-step explanation:
vertical angles are ones that are formed by intersecting lines, and they are also equal to each other and opposite of each other.
its not A because they are not equal to each other.
B is correct because they are formed by intersecting line and equal to each other
C is incorrect since theres some random line that doesnt completely pass through on either side
D is correct
The diagram shows a track composed of a rectangle with a semicircle on each end. The area of the rectangle is 12,800 square meters. What is the perimeter of the track? Use 3.14 for (pie symbol)
Answer:
271.2 meters
Step-by-step explanation:
See attached image.
What was the original cost of the jacket.
Answer:
(c) $80
Step-by-step explanation:
Each discounted price corresponds to the original price multiplied by a factor related to the discount. For a discount fraction of 'd', the multiplier is (1 -d).
This means you can use any of the lines in the table to find the original price.
5% disount: (1 -5%)·p = $76 . . . . where p is the original price
p = $76/0.95 = $80 . . . . . . . the original price
10% discount: (1 -10%)·p = $72
p = $72/0.90 = $80
25% discount: (1 -25%)·p = $60
p = $60/0.75 = $80
_____
Additional comment
The table values for 5% and 10% differ by 5% and $4. That means 5% of the original price is $4. There are two things you can do with this:
add back that 5% to the 5%-discounted price: $76 +4 = $80multiply that 5% by 20 to get 100% of the original price: 20(5%) = 20($4) ⇒ 100% = $80.If tan theta = startfraction 11 over 60 endfraction, what is the value of cot theta?
The value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].
Given that trigonometric ratio:
[tex]tan\theta = \frac{11}{60}[/tex]
What is the tangent of an angle?The tangent of an angle is the ratio of the opposite side(to that angle) to the adjacent side(to that angle).
So, for the given problem
Opposite side to [tex]\theta[/tex] = 11
Adjacent side to [tex]\theta[/tex] = 60
So, [tex]cot \theta =\frac{AdjacentSide }{OppositeSide}[/tex]
[tex]cot\theta =\frac{60}{11}[/tex]
Therefore, the value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].
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Answer:
60/11 is correct (option c)
Step-by-step explanation:
I just took the test
Diego invested $6,100 in a 9-month certificate of deposit paying 1.8% interest. How much interest did he earn form this investment?
Answer:
0.018
Step-by-step explanation
6,100,9a-mo,0.018
In Zoe's grade, there are 90 students. Currently, 90% of them are enrolled in health. How many students are enrolled in health?
Answer: 81
Step-by-step explanation:
90% is the same as 0.9
We can multiply .9 by 90 to see how many students are enrolled in health
0.9×90=81.0
Answer:
[tex]\huge\boxed{\sf 81\ students }[/tex]
Step-by-step explanation:
Total students = 90
Enrolled in health:
= 90 % of 90
[Key: "of" means "to multiply" and "%" means "out of hundred"]
[tex]\displaystyle = \frac{90}{100} \times 90\\\\= 9 \times 9\\\\= 81[/tex]
So, 81 students are enrolled in health.
[tex]\rule[225]{225}{2}[/tex]
Last Thursday you bought a total of 33 school supply items. You spent $58 Pencils are $1.50 and glue sticks are $2 each. How many of each item did you buy? (5 pts)
Answer:
16 pencils and 17 glue sticks
Step-by-step explanation:
X=pencils
Y=glue sticks
X+Y=33
1.50X+2Y=58
times ten to get whole numbers
=15X+20Y=580
same for e1
=10X+10Y=330
15X+20Y=580
10X+10Y=330
elimination mthd
150X+200Y=5800
150X+150Y=4950
50Y= 850
Y=17
X+17=33
X=33-17
X=16
Brainliest available
Find "X"
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: ({4}^{2}) \star ( {2}^{9} ) = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: ({ {2}^{2}) }^{2} \star ( {2}^{9} ) = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: ({ {2}^{}) }^{4} \star ( {2}^{9} ) = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \:2 {}^{4 + 9} = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 4 + 9[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 13[/tex]
hence, value of x is 13
[tex]➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖[/tex]
Answer:
x = 13
Step-by-step explanation:
[tex]\left(4^2\right)\left(2^9\right)=2^x[/tex]
[tex]\mathrm{multiply}[/tex]
[tex]4^2=16[/tex]
[tex]2^9=512[/tex]
[tex]16*512=8192[/tex]
[tex]8192=2^x[/tex]
[tex]\mathrm{Flip \;the \;equation}[/tex]
[tex]2x=8192[/tex]
[tex]log(2x)=log(8192)(Take \;log \;of\; both \;sides)[/tex]
[tex]x*(log(2))=log(8192)[/tex]
[tex]x=\frac{log(8192)}{log(2)}[/tex]
[tex]x=13[/tex]
[RevyBreeze]
Give the slope of y+2=3(x-7) and point on the line
Step-by-step explanation:
y+2=3(x-7)
y+2=3x-21
y=3x-21-2
y= 3x-23
Slope is 3
Answer:
Slope intercept form;
y = mx + b
Where y is the independent variable, and x is the dependent variable, 'm' represents the slope and 'b' represents the y intercept.
We are given;
y + 2 =3(x - 7)
So we rearrange this into slope intercept form.
y + 2 = 3(x - 7)
Simplify:
y + 2 = 3x - 21
Apply inverse operation of addition (subtraction).
-2 -2
y = 3x - 23
Giving Brainliest
A spy realizes his cover is blown and flees toward his secret evacuation spot at a speed of 60 mph. Two hours later, a special agent in a helicopter starts chasing the spy. The special agent travels the same route at a speed of 90 mph.
A What distance does the spy cover in t hours?
B What distance does the special agent cover in t hours?
C How fast is the distance between them reducing
D How far apart are the spy and special agent when the chase begins?
E How long does it take the special agent to catch the spy?
F At what speed should the special agent chase the spy if the evacuation spot is 240 miles from the setting point
The spy will cover a distance of 60t in t hours and the special agent will cover a distance of 90t in t hours.
What is distance?Distance is actually known as the amount of space between two points. When calculating speed, it is given as:
Speed = distance ÷ time
The spy's distance in t hours:
Distance = 60 × t = 60t.
The special agent's distance in t hours:
Distance = 90 × t = 90t
The distance between them will be =
Distance of special agent minus distance of the spy: 90t - 60t = 30t.
By the time the chase begins, the distance between the spy and special agent will be:
(2 × 60mph) - 0 = 120m - 0.
= 120m.
Time taken for the special agent to catch the spy: 120 + 60t = 90t
120 = 90t - 60t
120 = 30t
t = 120/30 = 4 hours.
Speed the special agent should chase the spy:
Distance = 240 miles
Time = 4 hours.
Then Speed = 240/4 = 60mph.
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write the equation of the blue line using slope intercept form (y=mx+b)
Answer:
Step-by-step explanation:
X1=-4
Y1=7
X2=-3
Y2=6
(-2,0 ) X INTERCEPT
(0,-7)Y INTERCEPT OR B
M=6-7/-3+4
M=_1
Y=-1X+-7
Over what intervals is the average rate of change of f(x) = 5x greater than the average rate of change of g(x) = 25x? Select all that apply. A. 0 ≤ x ≤ 3 B. 0 ≤ x ≤ 2 C. 3 ≤ x ≤ 6 D. 1 ≤ x ≤ 2
The average rates of change of a function f(x) and g(x) are their slopes
The average rate of change of the function f(x) is always less than the average rate of change of the function g(x)
How to determine the average rate of change?The average rate of change of a function f(x) over the interval [a,b] is calculated as:
[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]
The average rates of change of the functions over the intervals are:
A. 0 ≤ x ≤ 3
[tex]m_1 = \frac{f(3) - f(0)}{3 - 0} = \frac{5 * 3 - 5 *0}{3 - 0} = 5[/tex] ---- f(x)
[tex]m_2 = \frac{g(3) - g(0)}{3 - 0} = \frac{25 * 3 - 25 *0}{3 - 0} = 25[/tex] --- g(x)
B. 0 ≤ x ≤ 2
[tex]m_1 = \frac{f(2) - f(0)}{2 - 0} = \frac{5 * 2 - 5 *0}{2 - 0} = 5[/tex] ---- f(x)
[tex]m_2 = \frac{g(2) - g(0)}{2 - 0} = \frac{25 * 2 - 25 *0}{2 - 0} = 25[/tex] --- g(x)
C. 3 ≤ x ≤ 6
[tex]m_1 = \frac{f(6) - f(3)}{6 - 3} = \frac{5 * 6 - 5 *3}{6 - 3} = 5[/tex] ---- f(x)
[tex]m_2 = \frac{g(6) - g(3)}{6 - 3} = \frac{25 * 6 - 25 *3}{6 - 3} = 25[/tex] --- g(x)
D. 1 ≤ x ≤ 2
[tex]m_1 = \frac{f(2) - f(1)}{2 - 1} = \frac{5 * 2 - 5 *1}{2 - 1} = 5[/tex] ---- f(x)
[tex]m_2 = \frac{g(2) - g(1)}{2 - 1} = \frac{25 * 2 - 25 *1}{2 - 1} = 25[/tex] --- g(x)
From the above computation, we can see that:
The average rate of change of the function f(x) = 5x is always less than the average rate of change of the function g(x) = 25x
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A family has two children. if b represents a boy and g represents a girl, the set of outcomes for the possible genders of the children is s = {bb, bg, gb, gg}, with the oldest child listed first in each pair. let x represent the number of times g occurs. which of the following is the probability distribution, px(x)? a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0.25, 0.5, 0.25. a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0.33, 0.33, 0.33. a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0.25, 0.75, 0. a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0, 0.5, 0.5.
Probability helps us to know the chances of an event occurring. The probability distribution of a girl child being born can be drawn as given below.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
As it is given to us that the possible genders of the children,
S = {BB, BG, GB, GG},
And we know that the probability of a girl child can be found using the formula of probability, now, finding the probability of the girl child,
A.) The probability that there is no girl child born,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]
[tex]\rm P(X=0)=\dfrac{\text{Outcomes in which no girl child is born}}{\text{All the possible values}}[/tex]
[tex]\rm P(X=0)=\dfrac{1}{4} = 0.25[/tex]
B.) The probability that there is one girl child is born,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]
[tex]\rm P(X=1)=\dfrac{\text{Outcomes in which one girl child is born}}{\text{All the possible values}}[/tex]
[tex]\rm P(X=1)=\dfrac{2}{4} = 0.5[/tex]
C.) The probability that there is two girl child is born,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]
[tex]\rm P(X=2)=\dfrac{\text{Outcomes in which two girl child is born}}{\text{All the possible values}}[/tex]
[tex]\rm P(X=2)=\dfrac{1}{4} = 0.25[/tex]
The probability distribution of a girl child being born can be drawn as given below.
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Answer:A
Step-by-step explanation:
The sum of a number $x$ and 4 equals 12.
An equation that represents this sentence is
.
Answer:
(3 x 1) x 4 = 12
Given the following geometric sequence, find the common ratio: {225, 45, 9, ...}.
1/5
-5
-1/5
5
Answer:
1/5
Step-by-step explanation:
a=225
45/225=1/5
The formula for GP is Tn=ar^n-1
solve this system of equations using substitution, show your work (ANSWER QUICK PLEASE)
Answer: x=18/5 y=127/5
Step-by-step explanation:
For both equations
1. subtract from both sides
2. divide to find what the variable equals
What is the radical form of 32x 1/6 ?
Step-by-step explanation:
Given:
32^(1/6)
To Find:
Convert to Radical form 32^(1/6)?
Solution:
here, given that- 321/6
Since, we know that - If n is a positive integer
that x and a is a real number or a factor, then
an = Vu?
=
now, using this rule to convert 321/6 to a radical,
where a=32, x=1 and n=6
√32
Hence,
Exact form:
32
Decimal Form:
2
The circumference of a circle is 13 pi cm. What is the area, in square centimeters?
Express your answer in terms of Pi
Answer:
42.25π cm²
Step-by-step explanation:
To find the area of the circle, first find its radius.
Formulas needed
Circumference of circle= πD= 2πrArea of circle= πr²Given: circumference= 13π cm
2πr= 13π
Divide both sides by 2π:
[tex]r = \frac{13}{2} [/tex]
r= 6.5 cm
Now, we can find the area by substituting r= 6.5 into the area of circle formula.
Area of circle
= πr²
= π(6.5)²
= 42.25π cm²
Fill in the missing pieces to solve for x:
Answer:
A: (x-4) squared
B: x+2
C: 9
D: 14
E: 7
F: 2
Step-by-step explanation:
A: This is because x^2 - 8x + 16 factored is (x-4) squared
B: Square root of something squared will remove the square root
C: Minus the variable x and 2 from the right side
D: Factor
E/F: These numbers make the right side become zero
1. give each solid a geometric name. be as precise as you can
а
b
с
The examples of geometric names include triangle, circle, square, rectangle, pentagon, etc.
What is a geometric name?Your information is incomplete as the shapes aren't given. Therefore, an overview will be given.
A geometric name is the name that is given to a shape. In this case, examples include triangle, circle, square, rectangle, pentagon, etc.
Triangle has three sides. A square has four equal sides. A rectangle has opposite sides equal, etc
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y=- 8x - 20
How do I graph this
Answer: Here, this should help ya out :
With graphing lines and slopes use desmos graphing calulator dont worry, its safe ;)
Answer:
See below ↓
Step-by-step explanation:
Step 1 : Mark the y-intercept.
b = -20Therefore, the y-intercept's coordinates are : (0, b)⇒ (0, -20)Step 2 : Draw the slope.
m = -8Therefore after marking the y-intercept you can either mark a point 8 spaces up, 1 to the left or mark a point 8 spaces down, 1 to the rightAfter doing this, join the two points using a ruler and draw a line Your graph is ready!It should look like this :I tried this but couldn't figure it out I hope ya'll can but it's this
1/3x1/6
1/18
Step-by-step explanation:
[tex] \frac{1}{3} \times \frac{1}{6} = \frac{1}{18} [/tex]
Given triangle ABC is congruent to DEC find m
Answer:
angle d = 106
Brainliest if correct
Answer:
The answer is 21/40
Step-by-step explanation:
Hope that helps!
Help pleaseeeeeeeeeeee
Answer:
C. 72
Step-by-step explanation:
your are given the adjacent length of 2.4 cm and the hypotenuse of 7.8cm
so we know cos = adjacent/ hypotenuse
so to find the angle of cos you use the inverse of cos^-1(2.4/7.8)
after typing into calculator you should get about 72
Answer:
C
Step-by-step explanation:
cos(0)= Adjacent/Hypotenuse
cos(0)= n/p
cos(0)=2.4/7.8
cos(0)=4/13
(0)=cos‐¹(4/13)
(0)=72.07978686
(0)=72°
angle (0)= 72°
Please help! Its due today!
Answer:
don't know if this is the right way butttt i'm going to give it a shot
Step-by-step explanation:
Cost: I'm guessing this is for the rent for the shoes or is the total cost?
Bowler World: 5 + 1.1g = c | c + 1.1g = t {(this is the other option) probs not correct}
Lucky Spares: 3 + 1.5g = c | c + 1.5g = t
K so personally you should choose option 1 (for example: 5 + 1.1g = c), i have no idea how the proper format is supposed to be
either i hope this helps :)
Steve is tossing a normal quarter. He tosses the quarter 20 times and it lands on heads 16 times. If Steve tosses the quarter again, what is the probability that it lands on tails? Input your answer in fraction form.
Answer:
1/5
Step-by-step explanation:
16 out of the 20 times landed on heads, making 4/20 times it landed on tails.
16 divided by 20 is .8 which turns into 80%
100% - 80% = 20%
To simplify into a fraction:
80/100 is equivalent to 4/5 when divided by 20, leaving 1/5 to complete the fraction which later totals to 100%
Answer:
the answer is 1/2
Step-by-step explanation:
i just did it
what is the doamin of the function f(x)=x+1/x²-6x+8
Answer:
Step-by-step explanation:
(x+1) = domain = all real #s
(x²-6x-8)⇒ (x-4)(x-2)= x≠ 2,4
Because you can not have a zero in the denominator, x≠2,4
so your domain is (-∞,2)∪(2,4)∪(4,∞)