Kelly Malone plans to have $51 withheld from her monthly paycheck and deposited in a savings account that earns 12% annually, compounded monthly. If Malone continues with her plan for one and one-half years, how much will be accumulated in the account on the date of the last deposit

Respuesta :

Answer:

$1,774.2

Explanation:

Compute the accumulated amount in the account on the date of last deposit'

Formula used to find out the future value ordinary annuity is:

Future value factor of ordinary annuity [tex](FVF-0A =_{n,i} ) = \frac{1-(1+i^)^ {n} }{i}[/tex]

1- oily Future value of ordinary annuity [tex](FV-OA) = R (FVF-0A_{n,i} )[/tex]

Where:

R = annual return (ordinary annuity)

[tex](FVF-0A_{n,i} )[/tex] = future value of an ordinary annuity of I for n periods at i interest

Substituting the values:

Future value of ordinary annuity [tex](FV-OA) = R (FVF-0A_{n,i} )[/tex]

                                                             = [tex]$50 (FVF-OA 12_{2.5X 12\frac{12}{12} } )[/tex]

                                                              =[tex]$50 X 34.7849[/tex]

[tex]51 X 34.7849\\=1,774[/tex]