A principal of $4500 is invested at 5.75% Interest, compounded annually. How much will the investment be worth after 5 years?

Respuesta :

qop

Answer:

$5,951.33

Step-by-step explanation:

We can use the compound interest formula to solve this problem:

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

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 5.75% into a decimal:

5.75% -> [tex]\frac{5.75}{100}[/tex] -> 0.0575

Now, plug in the values:

[tex]A=4,500(1+\frac{0.0575}{1})^{1(5)}[/tex]

[tex]A=5,951.33[/tex]

After 5 years, the investment will be worth $5,951.33