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Peterson began saving $10 per week that she deposited every month in her money market account, earning 4.25% and compounding monthly. If she continues this practice, how much will she have after 10 years

Respuesta :

The amount that Peterson will have after 10 years is $5,968.29.

Future Value Formula

The future value of Petersoon's investment can be computed using the future value formula below:

FV = PV(1+r)^{n}

FV = future value

PV = present value

r = annual interest rate

{n} = number of periods interest held

The future value can also be determined using an online finance calculator as follows:

Data and Calculations:

Savings per week = $10

Deposit per month = $40 ($10 x 4)

Interest rate = 4.25% compounded monthly

Period of investment = 10 years

N (# of periods) = 120 (12 x 10 years)

I/Y (Interest per year) = 4.25%

PV (Present Value) = $0

PMT (Monthly Deposit) = $40

Results:

Future Value (FV) = $5,968.29

Sum of all periodic payments = $4,800.00

Total Interest = $1,168.29

Thus, the amount that Peterson will have after 10 years is $5,968.29.

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