Kyle spent 1/5 of his money on clothes. He had $120 remaining. What was the cost of the clothes Kyle bought? (Note: Express the answer as dollars.cents.)

Work Shown:

We have 9 sides of this polygon. See the diagram below. So n = 9

Plug that into the formula below to find the sum of the interior angles

S = 180(n-2)

S = 180(9-2)

S = 180*7

S = 1260

Answer:

There are 24 right handed students

Step-by-step explanation:

This is a ratio question so it would be represented as 1:4.

First you would do 1 + 4 which is 5.

Then do 30 ÷ 5 which is 6.

Finally multiply 6 by 4 and 1.

So 6 × 4 × 1 is 24.

So there are 24 students who are right handed.

Hope this makes sense!

Answer:

The correct option is a. Amy’s balance would be greater than Hank’s in the end.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?

a. Amy’s balance would be greater than Hank’s in the end.

b. Amy’s balance is $5,142 and Hank’s balance is $3,207.

c. Hank’s balance would be greater than Amy’s in the end.

d. The investment and balance would be the same.

e. None of these are true

The explanation to the answer is now given as follows:

The balance in the end for each can be determined using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

FV = M * (((1 + r)^n - 1) / r) ................................. (1)

Where;

For Amy:

FV = Future value or balance in the end = ?

M = Monthly investment = $500

r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005

n = number of months the investment will be made = 40 years * 12 months = 480

Substituting the values into equation (1), we have:

FV = $500 * (((1 + 0.005)^480 - 1) / 0.005)

FV = $500 * 1,991.49

FV = $995,745.37

Therefore, Amy’s balance would be $995,745.37 in the end.

For Hank:

FV = Future value or balance in the end = ?

M = Monthly investment = $1,000

r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005

n = number of months the investment will be made = 20 years * 12 months = 240

Substituting the values into equation (1), we have:

FV = $1,000 * (((1 + 0.005)^240 - 1) / 0.005)

FV = $1,000 * 462.04

FV = $462,040.90

Therefore, Hank’s balance would be $462,040.90 in the end.

Conclusion

Since Amy’s balance of $995,745.37 is greater than Hank’s balance $462,040.90, it therefore implies that the correct option is a. Amy’s balance would be greater than Hank’s in the end.

Answer:

A-F parallel to B-D

B-A parallel to D-F

B-F parallel to C-E

Step-by-step explanation:

Line segment A-F is parallel to B-D

Line segment B-A is parallel to D-F

Line segment B-F is parallel to C-E

Hi there!

Recall that slope-intercept form is:

y = mx + b

Where m = slope

In this instance, we are given a slope of 4, therefore:

y = 4x + b

Substitute in the x and y coordinates of the point given:

0 = 4(3) + b

0 = 12 + b

Subtract 12 from both sides:

-12 = b

Therefore, the equation would be:

y = 4x - 12

Graph the equation by finding x and y values or using a calculator:

x = 0, y = 4(0) - 12 = 12            (0, 12)  

x = 1, y = 4(1) - 12 = -8               (1, -8)

x = 2, y = 4(2) - 12 = -4             (2, -4)

x = 3, y = 4(3) - 12 = 0              (3, 0)

And so forth:

To graph a line passing through a point (3, 0) and slope 4, we will find the equation of the line first.

Since, equation of a line passing through a point (h, k) and slope 'm' is given by,

y - k = m(x - h)

Therefore, equation of a line passing through (3, 0) and slope 4 will be,

y - 0 = 4(x - 3)

y = 4x - 12

For y-intercept put x = 0 in the equation,

y = 4(0) - 12

y = -12

For x-intercept put y = 0 in the equation,

0 = 4x - 12

x = 3

Therefore, line will intersect x-axis at (3, 0) and y-axis at (0, -12).

              By joining these points we can find the graph of the line passing through (3, 0) and having slope = 4.

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Answer:100 times 7

Step-by-step explanation: because

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

60:5 = 60/5. 60/5=12

Answer:

321

Step-by-step explanation:

Conversion of 86 to base 5 will be done through base 10 to base 5 and it will be (321)₅.

To convert any number to base 10 we have to multiply its unit digit by 10⁰ and its tenth digit by 10¹.

After it, we need to add it. It will give us a number of the 10 bases.

Conversion of any 10 base number into base 5

To convert any number to base 5 we need to divide by 5 and write the remainder each time thus we need to write the quotient from down to up.

Converting 86 to base 10

⇒ 8ₓ10¹ +8ₓ[tex]10^0[/tex]

⇒ 86₁₀

Converting 86₁₀ into 86₅

When the number 86 is converted in a base of 5 will be (321)₅

Since we need to go down to up to 321₅ will be the correct answer.

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Answer:

Since 1 kg is equals to 2.2 lb. You divide 144 by 2.2 :

144/2.2

=65.45

=70 kg

Probability of students having their own vehicle

= 2/10

= 1/5

Answer:

A or -1/2, -rad2/2, -rad3/2

Step-by-step explanation:

Right on edge

Answer:

A

Step-by-step explanation:

correct on edge 202222222

Answer:

Okay, so what is the question?

Answer:

   Tornado: clouds, strong wind, rain, hail.

   Hurricane or cyclone: strong wind, heavy rain.

   Blizzard: heavy snow, ice, cold temperatures.

   Dust storm: strong winds, arid conditions.

   Flood: heavy rainfall.

   Hail storm: cold or warm temperatures, rain, ice.

   Ice storm: freezing rain.Step-by-step explanation:

Answer:

18 MARK AS BRAINLIEST OR ELSE!!!!

Step-by-step explanation:

area = 1/2h(sum of bases)

area = 1/2x3(3+9)

area = 1/2 of 36

area = 18

Answer: 12 years old

Step-by-step explanation:

10,11,12,12,13,13,14

The middle in these numbers is 12

The mathematical answer would happen to be... 0

Answer:

0

Step-by-step explanation:

Answer:

the total are is 459

Step-by-step explanation:

3  3/16 divided by 1/8 = 25 1/2 or 25.5

2  1/4 divided by 1/8 = 18

so 18 x 25.5 = 459

hope this helps

The total area of the new room is 459.

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

WE are given that school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft

Dimensions: 2 1/4 and 3 3/16

Therefore,

3  3/16 divided by 1/8 = 51/2 or 25.5

2  1/4 divided by 1/8 = 18

Thus we have the area

= 18 x 25.5

Area = 459

The total area of the new room is 459.

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Work Shown:

450 calories = 20 ounces

450/20 calories = 20/20 ounces ..... divide both sides by 20

22.5 calories = 1 ounce

This smoothie has 22.5 calories per ounce.

Answer:its a or b

Step-by-step explanatio

Answer:

The answer is (2)

Step-by-step explanation:

We know that to the distance between two numbers on a number line, we subtract the smaller number from the larger number. For instance, the difference between [tex]5[/tex] and [tex]3[/tex] is simply [tex]5-3[/tex], which is [tex]2[/tex]. With that being said, variables such as [tex]p[/tex] or [tex]q[/tex] differ from a question to another. Sometimes, the [tex]p[/tex] is larger, but sometimes the [tex]q[/tex] is. If we don’t know which one is which, we can subtract them in any order and take the absolute value of that result. If the result of subtraction is positive, great! The absolute value of that is still positive ([tex]5-3=2\\|5-3|=2[/tex]) If it’s not, now it is! (e.g., [tex]|3-5|=2[/tex]! Therefore, the answer is (2) [tex]|p-q|[/tex].

Answer:

16X^2 - 8x

Step-by-step explanation:

A = L x W

L = x + 5 + 3x + 4x - 9 = 8x - 4

W = 2x

(8x - 4) (2x) = 16x^2 - 8x

Answer:

MPO=MNO

NPO=MNP

Step-by-step explanation:

MPO=MNO because MPO opposite angles of a parallelogram are congruent.

MNO is the top right angle of the parallelogram and so the opposite side of that is MPO or OPN whatever way you want to write it.

NPO=MNP because they are alternate interior angles.  (If you don't understand what that means I can come back and explain it)

Answer:

11.55 years

Step-by-step explanation:

Formula to calculate the final value when the money is compounded continuously is,

Final value = [tex]\text{(Present value)}.e^{rt}[/tex]

Here 'r' = rate of interest

t = duration for the investment

Let the money invested = $x

We have to find the duration in which the present value gets doubled.

Final value = $2x

Rate of interest = 6% per year ≈ 0.06

By substituting these values in the formula,

[tex]2x=x.e^{0.06t}[/tex]

[tex]2=e^{0.06t}[/tex]

ln(2) = [tex]\text{ln}e^{0.06t}[/tex]

0.693147 = 0.06t

t = 11.55 years

Therefore, invested amount will be doubled in 11.55 years.

Answer:

In a week we have 7 days.

On the first day, Clare runs 4 miles.

On the other six days, she runs the same distance, let's call it D.

In total, she runs 22 miles.

Then:

4mi + 6*D = 22 mi

6*D = 22mi - 4mi = 18mi

D = 18mi/6 = 3mi.

Then the other 6 days, Clare runs 3 miles, then the tape diagram would look something like:

[tex]\left[\begin{array}{cccccc}Monday&-&-&-&-\\Tuesday&-&-&-\\Wednesday&-&-&-\\Thursday&-&-&-\\Friday&-&-&-\\Saturday&-&-&-\\Sunday&-&-&-\end{array}\right][/tex]

Where each "-" represents one mile.

Answer:

3 miles

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

If 50% of students are boys that means there are 30 boys and 30 girls. Then if   30% of boys are 10 and 60% of girls are 18. You add 18+10 and that gives you 28.

The required value of  θ  for the trigonometric function cos(θ)=sin(θ/3-10) is 60°.

The  basic Trigonometric functions are sine, cosine, tangent, secant, cosecant and cotangent.

The given equation is,

cos(θ)=sin(θ/3-10)          (1)

To find the value of θ,

Change the whole equation into one trigonometric function,

Since, cos(θ)=sin(90-θ)

Substitute this value in equation (1)

sin(90-θ)=sin(θ/3-10)

⇒90-θ=θ/3-10

⇒4θ/3=80

⇒θ=60

The value of θ is 60°.

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Answer:

12

Step-by-step explanation:

Answer:

Whats a kayak?

Step-by-step explanation: