Question

Anastasia was trying to decide which investment plan would be best over 10 years. Bank A was offering 8.5% simple interest on her money using the formula . Bank B was offering 8% compounded annually using the formula . Which bank is a better investment if she has $2,000 to invest for 10 years?

Answer 1

Answer:

Bank B is the better investment

Explanation:

Investment = P =  $2,000

Number of years = n = 10

If the She invest in Bank A

r = 8.5% simple interest

Accumulated value after 10 years = A =P + (P x r x n) =  $2,000 + ( $2,000 x 8.5% x 10 ) = $2,000 + $1,700 = $3,700

If the She invest in Bank B

r = 8% Compounded yearly

Accumulated value after 10 years = A = P x (1 + r )^n =  $2,000 x ( 1 + 8% )^10 = $2,000 x ( 1 + 0.08 )^10 = $2,000 x ( 1.08 )^10 = $2,000 x 2.1589 = $4,317.8

= $4,318

Hence Bank B is the better investment because it make more money than in Bank A after 10 years.