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4 years ago

What is n in the equation 9n + 2/3 n = 4

1 answer:

3 0

So that they have the same denominator you can rewrite 9n as (27/3)n

(27/3)n + (2/3)n = 4
(29/3)n = 4

Multiply both sides by 3/29 to isolate variable n.

n = 4(3/29)

n = 12/29

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The exponential to describe $100 at 2% interest, compounded annually, for x years is $y=100(1.02)^{x}$

<h3><u>Solution:</u></h3>

Given that $ 100 at 2 % interest , compounded annually for "x" years

<em><u>The formula for compound interest, including principal sum, is:</u></em>

$A=P\left(1+\frac{r}{n}\right)^{n t}$

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

Here in this sum,

P = $ 100

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number of years = x

Here given that compounded annually , so n = 1

Let "y" be the amount after "x" years

Substituting the values in formula we get,

$\begin{aligned}&y=100\left(1+\frac{0.02}{1}\right)^{1 \times x}\\\\&y=100(1+0.02)^{x}\\\\&y=100(1.02)^{x}\end{aligned}$

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