Find the balance in the account. $800 principal earning 7%, compounded annually, after 4 years

1 answer:

5 0

Formula for amount, A, in Compound Interest:

A = P(1 + r)ⁿ

Where P = Principal = $800, r = rate per year = 7% = 0.07, n = number of years = 4

A = P(1 + r)ⁿ

A = 800(1 + 0.07)⁴

A = 800(1.07)⁴ Use your calculator

A ≈ 1048.6368

A ≈ $1048.64

I hope this helped.

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If F(x)=4x-1 and g(x)=x^2+7, what is g(f(x))

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$g(f(x)) = = 16 {x}^{2} - 8x + 8$

step by step Explanation

The functions given are

$f (x)= 4x- 1$

$g(x)= {x}^{2} + 7$

We want to find:

$g(f (x))= g( 4x- 1)$

This implies that

$g(f (x))= ( (4x- 1)^{2} + 7)$

Let us now simplify

$( {a - b)}^{2} = {a}^{2} -2ab + {b}^{2}$

This implies that

$( (4x- 1)^{2} + 7) =( {(4x)}^{2} - 2(4x) \times 1 + 1$

Combine the terms to get,

$= 16 {x}^{2} - 8x + 1 + 7$

$= 16 {x}^{2} - 8x + 8$