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2 years ago

15

A population doubles in size every 30 years. What is its continuous growth rate? Express your answer to the nearest 0.0001 perce

nt

1 answer:

IrinaVladis [17]2 years ago

8 0

Answer: 2.3374%

Step-by-step explanation:

x=continuous growth rate.

x^30=2

x=1.023373892

1.023373892-1=0.023373892

0.023373892*100=2.3373892%

2.3373892%=2.3374%

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Step-by-step explanation:

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4 years ago

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Step-by-step explanation:

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4 years ago

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3 years ago

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notsponge [240]

I figured it out but I can’t show the picture but I know the answer it’s D

4 0

3 years ago

Find the area please

tatuchka [14]

Answer:

D

Step-by-step explanation:

Recall that the area of a triangle is given by:

$\displaystyle A = \frac{1}{2} bh$

In this case, the base is <em>x</em> and the height is <em>y</em>. Hence:

$\displaystyle A = \frac{1}{2} xy$

We can write the following ratios:

$\displaystyle \sin \alpha = \frac{x}{12} \text{ and } \cos \alpha = \frac{y}{12}$

Solve for <em>x</em> and <em>y</em>:

$\displaystyle x = 12\sin \alpha \text{ and } y = 12\cos \alpha$

Substitute:

$\displaystyle A = \frac{1}{2}\left(12\sin \alpha\right)\left(12\cos \alpha\right)$

And simplify. Hence:

$\displaystyle A = 72\sin \alpha \cos\alpha$

In conclusion, our answer is D.

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3 years ago