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3 years ago

The population of a town is decreasing at a rate of 3% per year. In 2005,

Mathematics

1 answer:

kvasek [131]3 years ago

8 0

Answer:

Current Population is 1,216

Step-by-step explanation:

So there’s 8 years in between 2005 and 2013 and the population decreased 3% every year.

So you multiply 3% by 8 and that’s 24% which is the total decrease from 2005 to 2013.

Then you find 24% of 1600 which is 384. That’s the number of people that left from 2005 to 2013.

Now, all you have to do is subtract 384 from 1600 and that gives you the answer of 1,216.

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What is the rate of change in the table? X: 0, 1, 2, 3 Y: 3, 6, 9, 12

KengaRu [80]

Answer:

The rate of change is 3.

Step-by-step explanation:

When the y vaues increase, they add 3 three times.

a(x)= $\frac{f(b)-f(a)}{b-a} \\$

a(x)= $\frac{12-9}{3-2}$

And If you use this for all the numbers, the value would be three.

6 0

3 years ago

Simplify x = cos[2 arcsin(3/5)]. -7/25 7/25 4/5

Marina CMI [18]

Answer:

7/25

Step-by-step explanation:

Let $\theta= \arcsin(\frac{3}{5})$ so we have $x=\cos(2\theta)$

As $\cos(2\theta)=\cos^2\theta-\sin^2\theta$ , we'll have $\cos[2\arcsin(\frac{3}{5})]=\bigr[\cos(\arcsin(\frac{3}{5}))\bigr]^2-\bigr[(\sin(\arcsin(\frac{3}{5}))\bigr]^2$

To determine $\cos(\arcsin(\frac{3}{5}))$ , construct a right triangle with an opposite side of 3 and a hypotenuse of 5. This is because since $\theta=\arcsin(\frac{3}{5})$ , then $\sin\theta=\frac{3}{5}=\frac{\text{Opposite}}{\text{Hypotenuse}}$ . If you recognize the Pythagorean Triple 3-4-5, you can figure out that the adjacent side is 4, and thus, $\cos\theta=\frac{4}{5}=\frac{\text{Adjacent}}{\text{Hypotenuse}}$ . This means that $\cos(\arcsin(\frac{3}{5}))=\frac{4}{5}$ .

Hence, $\cos[2\arcsin(\frac{3}{5})]=(\frac{4}{5})^2-(\frac{3}{5})^2=\frac{16}{25}-\frac{9}{25}=\frac{7}{25}$

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2 years ago

Calculate the volume of this cylinder, giving your answer to 1 decimal place. 20 cm 9 cm

vazorg [7]

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3 years ago

What is 5/6 - 1/5 =

Daniel [21]

5/6 - 1/5 = 19/30 = 0.633

Hope this helped you! Please mark brainliest if this helped you at all and have a wonderful rest of your day!

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3 years ago

Read 2 more answers

Can someone check my algebra homework regarding exponential growth?

irina1246 [14]

You did everything right. You leave "t" by itself because you don't have a given time frame. But I'll say you used the correct formula and showed your work well.

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3 years ago