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Gennadij [26K]
3 years ago
5

Nadia charges $7.50 an hour for babysitting. She babysits 18.5 hours the first week of the month and 20 hour the second week of

the month. Suppose Nadia raises her rate by $0.75 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month? Explain.
Mathematics
1 answer:
victus00 [196]3 years ago
8 0

$7.50 * 18.5 hrs = $138.75

$7.50 * 20 hrs = $150

138.75 + 150 = 288.75

She raises the price by ¢0.75

So now it is $8.25 per hour

(I guessed on a calculator and got it right)

Multiply 8.25 by 35 and you get 288.75

Your answer is 35

-GoldenWolfX

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Answer:

D. 85.7%

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its figuring out the percentage decrease

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ANSWER : (9u - 8)2



STEPS:

Step-1 : Multiply the coefficient of the first term by the constant 81 • 64 = 5184

Step-2 : Find two factors of 5184 whose sum equals the coefficient of the middle term, which is -144 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -72 and -72
81u2 - 72u - 72u - 64

Step-4 : Add up the first 2 terms, pulling out like factors :
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Step-5 : Add up the four terms of step 4 :
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Answer:

Initial Amount=1

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If P = 0.99987ᵃ

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The initial amount is when a=0

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II. Decay factor

This is like the decay constant. From the model, P = 0.99987ᵃ, the decay constant/factor is 0.99987.

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Please asap<br>for 10 points!​
kari74 [83]
<h3>Given:</h3><h3>Large cone:</h3>
  • r= 8 cm
  • h= 20 cm
<h3>Small cone:</h3>
  • r= 4 cm
  • h= 10cm
<h3>Note that:</h3>
  • r: radius
  • h: height
<h3>To find:</h3>
  • The volume of the frustum of the given cone.
<h3>Solution:</h3>
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\large\boxed{Formula: V= \frac{1}{3}\pi{r}^{2}h}

Let's solve!

First, let's find the volume of the smaller cone.

Substitute the values according to the

formula.

V= \frac{1}{3}×\pi×{4}^{2}×10

V= 167.5516082 \: {cm}^{3}

Now, we can round off to the nearest hundredth.

The value in the thousandths place is smaller than 5 so we won't have to round up.

\boxed{V= 167.55 \: {cm}^{3}}

Next, let's find the volume of the bigger cone.

Substitute the values according to the formula.

V= \frac{1}{3}×\pi×{8}^{2}×20

V= 1340.412866 \: {cm}^{3}

Now, we can round off to the nearest hundredth.

The value in thousandths place is smaller than 5 so we won't have to round up.

\boxed{V=1340.41 \: {cm}^{3}}

Now, we can find the volume of the frustum.

We'll have to minus the volume of the smaller cone from the bigger cone.

V= 1340.41-167.55

\large\boxed{V= 1172.86 \: {cm}^{3}}

<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>



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