Barry has just become eligible for his employer-sponsored retirement plan. Barry is 40 and plans to retire at 65. Barry calculates that he can contribute $4 comma 500 per year to his plan. Barry's employer will match this amount. If Barry can earn a return of 7% on his investment, he will have $569 comma 241 at retirement. Assuming a return of 7%, how much would Barry have if he could invest an additional $1 comma 140 per year that his employer would match beginning at age 40?

$713,449.15

Explanation:

Barry’s total personal amount to invest = Initial amount + additional amount

                                                                 = $4,500 + 1,140

Barry’s total personal amount to invest = $5,640

Since Barry’s employer would match this amount, total amount to invest will be;

Total amount to invest for Barry = $5,640 + $5,640 = $11,280

The new amount Barry will have at retirement can be calculated using future value of an annuity formula stated as follows:

FV = M × {[(1 + r)^n - 1] ÷ r} (1)

Where,

FV = Future value of the amount at the retirement

M = Total amount to contribute yearly by Barry and his employer = $11,280

r = Rate of return = 7% = 0.07

n = number of periods = 65 – 40 = 25 years

Substituting the values for into equation (1), we have:

FV = $11,280 × {[(1 + 0.07)^25 - 1] ÷ 0.07}

     = $11,280 × {[(1.07)^25 - 1] ÷ 0.07}

     = $11,280 × {[5.42743264012289 - 1] ÷ 0.07}

     = $11,280 × {4.42743264012289 ÷ 0.07}

     = $11,280 × 63.2490377160413

FV = $713,449.15

Therefore, Barry would have $713,449.15 at retirement if he could invest an additional $1,140 per year that his employer would match.

if you use only 25 for your entertainment and only 200 for the groceries that you really need and take out the 50 per month for the computer then that should be enough

answer assertive;