Question

Rachel deposited $200 into an account that earns 6% interest, compound twice a year for 10 years. A=P(1+ r n ) n

Answer 1

Answer:

She will have $361.22 after 10 years

Step-by-step explanation:

For the formula A = P(1 + r/n)^(nt),

r      needs to be input as a decimal

n     is the number of times the interest is compounded annually

t      is how many years the interest compounded

P     is the initial principle

A     is the final amount of money in the account

For this problem...

r = 0.06   (6% as a decimal)

n = 2        (compounded twice a year)

t = 10       (the money was left in for 10 years)

P = 200  (the initial principle)

A = final amount, we need to solve for this

Plug these values into the equation and solve for A

A = P(1 + r/n)^(nt)   becomes      A = 200(1 + 0.06/2)^(2x10)

    which simplifies to    A = 200(1.03)^20

   which simpifies to      A = $361.22