Solve these compound interest problems and round your answer to the nearest 100th.

1)Find the final amount for an $1800 investment at 8% interest compounded quarterly for 6 years.

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Answer:

$2,895.19

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P = initial balance

r = interest rate

n = number of times compounded annually

t = time

First, change 8% into its decimal form:

8% -> [tex]\frac{8}{100}[/tex] -> 0.08

Now lets plug in the values into the equation:

[tex]A=1,800(1+\frac{0.08}{4} )^{6(4)}[/tex]

[tex]A=2,895.19[/tex]

The final amount for this investment is $2,895.19