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3 years ago

If you deposit $10,000 in a bank account that pays 10% interest annually, how much will be in your account after 5 years?

Mathematics

1 answer:

Luba_88 [7]3 years ago

4 0

Interest formula: A=P(1 + r)^t
A = 10000(1 + 0.1)^5
A = 10000(1.01)^5
A = 10000(1.0510100501)
A = $10,510.10

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Step-by-step explanation:

<u>Composite Function</u>

Given f(x) and g(x) real functions, the composite function named fog(x) is defined as:

$(f\circ g)(x)=f(g(x))$

For practical purposes, it can be found by substituting g into f.

We have:

$f(x)=3x+1$

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Computing the composite function:

$(f\circ g)(x)=f(g(x))=3(x^2-6)+1$

Operating:

$(f\circ g)(x)=3x^2-18+1$

Operating:

$(f\circ g)(x)=3x^2-17$

Now evaluate for x=4

$(f\circ g)(4)=3(4)^2-17=48-17$

$\boxed{(f\circ g)(4)=31}$

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