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2 years ago

12

I WILL GIVE BRAINLIEST Alicia puts $400.00 in a bank account. Each year the account earns 5% simple interest. How much money wil

l be in her bank account in six months?
A $410.00
B.$ 10.00
C.$20.00

1 answer:

liberstina [14]2 years ago

7 0

Answer:

C.$20.00

Because it has to be lower than $400 and higher than $10

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Step-by-step explanation:

Given

$\int\ {\frac{x^4}{1 + x^{10}}} \, dx$

Required

Integrate

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$\int\ {\frac{x^4}{1 + x^{10}}} \, dx$

Let

$u = x^5$

Differentiate

$\frac{du}{dx} = 5x^4$

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$dx = \frac{du}{5x^4}$

So, we have:

$\int\ {\frac{x^4}{1 + x^{10}}} \, dx$

$\int\ {\frac{x^4}{1 + x^{10}}} \, \frac{du}{5x^4}$

$\frac{1}{5} \int\ {\frac{1}{1 + x^{10}}} \, du$

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$\frac{1}{5} \int\ {\frac{1}{1 + x^{5*2}}} \, du$

Rewrite as:

$\frac{1}{5} \int\ {\frac{1}{1 + x^{5)^2}}} \, du$

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$\frac{1}{5} \int\ {\frac{1}{1 + u^2}}} \, du$

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Substitute: $u = x^5$

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