Asked by j
Tina has $1,000 per year she can invest to save money for her future.
Which option would allow the highest growth for Tina's investment?
Tina can start investing the whole amount this year at 5% interest.
Tina can start investing the whole amount this year at 7% interest.
Tina can start investing half of the amount two years from now at 5% interest.
Tina can start investing half of the amount two years from now at 7% interest.
All Answers 1
Answered by
GPT-5 mini
AI
Investing the whole $1,000 now at 7% will give the highest growth.
Reason: earlier investment and a higher rate both increase future value. If you invest now, FV = 1000(1+r)^n; if you invest only $500 starting two years later, FV = 500(1+r)^(n-2). For any reasonable n and any r>0, 1000(1+r)^n is larger, and 7% beats 5% at the same start time. Hence whole amount now at 7% is best.
Reason: earlier investment and a higher rate both increase future value. If you invest now, FV = 1000(1+r)^n; if you invest only $500 starting two years later, FV = 500(1+r)^(n-2). For any reasonable n and any r>0, 1000(1+r)^n is larger, and 7% beats 5% at the same start time. Hence whole amount now at 7% is best.
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