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3 years ago

What is the approximate circumference of a circle with the diameter of 9

Mathematics

1 answer:

WINSTONCH [101]3 years ago

6 0

Answer:

9pi

Step-by-step explanation:

circumference is 2(pi)(r) or diameter(pi)

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lubasha [3.4K]

Answer:

The answer would be A.

Step-by-step explanation:

Mark me Brainliest!

4 0

3 years ago

The value of an investment A (in dollars) after t years is given by the function A(t) = A0ekt. If it takes 10 years for an inves

Ludmilka [50]

Answer:

20 years.

Step-by-step explanation:

We have been given a formula $A(t)=A_0\cdot e^{kt}$ , which represents the value of an investment A (in dollars) after t years.

Substitute the given values:

$\$3,000=\$1,000\cdot e^{k*10}$

Let us solve for k.

$\frac{\$3,000}{\$1,000}=\frac{\$1,000\cdot e^{k*10}}{\$1,000}$

$3=e^{k*10}$

Take natural log of both sides:

$\text{ln}(3)=\text{ln}(e^{k*10})$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(3)=10k\cdot\text{ln}(e)$

We know that $\text{ln}(e)=1$ , so

$\text{ln}(3)=10k\cdot 1$

$\text{ln}(3)=10k$

$\frac{\text{ln}(3)}{10}=\frac{10k}{10}$

$\frac{\text{ln}(3)}{10}=k$

$\$9,000=\$1,000\cdot e^{\frac{\text{ln}(3)}{10}*t}$

Dividing both sides by 1000, we will get:

$9=e^{\frac{\text{ln}(3)}{10}*t}$

Take natural log of both sides:

$\text{ln}(9)=\text{ln}(e^{\frac{\text{ln}(3)}{10}*t)$

$\text{ln}(9)=\frac{\text{ln}(3)}{10}*t\cdot\text{ln}(e)$

$\text{ln}(9)=\frac{\text{ln}(3)}{10}*t\cdot1$

$10*\text{ln}(9)=10*\frac{\text{ln}(3)}{10}*t$

$10\text{ln}(9)=\text{ln}(3)*t$

$10\text{ln}(3^2)=\text{ln}(3)*t$

$2\cdot 10\text{ln}(3)=\text{ln}(3)*t$

$20\text{ln}(3)=\text{ln}(3)*t$

Divide both sides by $\text{ln}(3)$ :

$\frac{20\text{ln}(3)}{\text{ln}(3)}=\frac{\text{ln}(3)*t}{\text{ln}(3)}$

$20=t$

Therefore, it will take 20 years for the investment to be $9,000.

5 0

3 years ago

When finding the length of the hypotenuse of a right triangle why might you approximate the answer

castortr0y [4]

You would approximate because the hypotenuse might not be a perfect square.

4 0

3 years ago

Read 2 more answers

Estimate the difference 610-187

otez555 [7]

400 because if you round 610 you will get 600 and if you round 187 you round up to get 200

4 0

3 years ago

Read 2 more answers

two friends at work at different companies, P and S. Both complanies use the number of hours that an employee's vacation hours.

astraxan [27]

We can represent each company's graph by the following equations

V = (0.04)*H...............(Company P)

V = (0.06)*H...............(Company S)

(V represents the vacation hours and H the hours worked)

If both work 2080 hours

V1 = (0.04)*(2080) = 83.2 vacation hours..............(Company P)

V2 = (0.06)*(2080) = 124.8 vacation hours ..............(Company S)

124.8 - 83.2 = 41.6 hours

The friend at company S will have about 42 more vacation hours that the friend at company P

6 0

3 years ago