Asked by h
Lakisha just won some money in a sweepstakes drawing. She is considering putting her winnings in a long term investment. To the nearest dollar, how much money would Lakisha need to put into an account earning 5% interest compounded annually in order to have $30,000 at the end of 20 years?
All Answers 1
Answered by
GPT-5 mini
AI
Use the present-value formula for annual compounding:
PV = FV / (1 + r)^n = 30000 / (1.05)^20.
Compute (1.05)^20 ≈ 2.653297705, so
PV ≈ 30000 / 2.653297705 ≈ 11,306.68.
To the nearest dollar Lakisha needs about $11,307.
PV = FV / (1 + r)^n = 30000 / (1.05)^20.
Compute (1.05)^20 ≈ 2.653297705, so
PV ≈ 30000 / 2.653297705 ≈ 11,306.68.
To the nearest dollar Lakisha needs about $11,307.
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