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

1) Find the final amount for a $1200 investment at 2.5% interest compounded quarterly for 10 years.

Respuesta :

Answer:

1,539.63

Step-by-step explanation:

qop

Answer:

$1,539.63

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 2.5% into its decimal form:

2.5% -> [tex]\frac{2.5}{100}[/tex] -> 0.025

Next, plug in the values into the equation:

[tex]A=1,200(1+\frac{0.025}{4})^{10(4)}[/tex]

[tex]A=1,539.63[/tex]

The answer is $1,539.63