Tyrion can invest in an account earning 2.5% interest compounded monthly. If he invests $5000, ow much will he have in 7 years?

Respuesta :

Answer:

$5925.51

Step-by-step explanation:

We are going to be using the compound interest formula

Given data

principal P= $5000

N is time = 7 years

rate r= 2.5%= 0.025

compounded monthly k= 112

final amount A=?

The expression for the compound interest is

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

substituting into the expression we have

[tex]A= 5000(1+\frac{0.025}{12} )^1^2^*^7\\\\ A= 5000(1.002 )^1^2^*^7\\\\ A= 5000(1.002 )^8^7\\\\A= 5010*1.18273815853 \\\\ A= 5925.51[/tex]

in seven years he will have $5925.51