# Accounting

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A woman would like to open a store in 8 years. She figures she will need 50,000 in capital to do so. She will make 10% on her money.

a. How much would she need to invest today in one lump sum to end up with 50000 in 8 years?

I got 23,325.25

b. if she's starting from scratch how much would she have to put away annually to accuulate the needed capital in 8 years?

I got 1247.82

c. how about if she already has 10,000 put away, how much would she have to put away to accumulate the needed capital in 8 years?

--This is the one I am stuck on. Also check my previous answers, they seem right but IDK. Thanks for any input!

• Accounting - ,

a. P = Po + Po*r*t.
Po + Po*0.10*8 = \$50,000.
Po + 0.8Po = 50,000.
1.8Po = 50,000.
Po = 50,000 / 1.8 = \$27,777.78.

• Accounting - ,

answer to c. If you expect to earn a 10.000% interest rate, compounded annually, you will need to deposit/invest \$18,660.30 now in order for your investment to grow to \$40,000.00 over the course of the next 8 years.