How much would $200 invested at 6% interest compounded annually be
worth after 6 years? Round your answer to the nearest cent.
A(t) = P(1+
O
A. $286.67
O
B. $283.70
O
c. $272.00
O
D. $212.30

Respuesta :

Answer:

$283.7

Step-by-step explanation:

The formula of compound interest is given as  

[tex]A = P(1 + \frac{r}{100 \times n} )^{tn}[/tex]

where, P is the invested principal amount.

A is the amount the sum finally grows up to.

t is the number of years the principal is invested for.

r = the % annual compound interest rate.

and n is the number of times the principal is compounded in each year.  

Now, in our case P = $200, r = 6%, t = 6 years and n = 1

So, [tex]A = 200(1 + \frac{6}{100} )^{6} = 283.7[/tex] Dollars (Answer)