Question

Lakshay needs $90,000 in 8 years. How much should Lakshay invest today if he invested into an account that yields 2.9% interest compounded monthly? O $71,385.13 O $113469.01 O $88 278.77 O $81,209.10

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Answer to a math question Lakshay needs $90,000 in 8 years. How much should Lakshay invest today if he invested into an account that yields 2.9% interest compounded monthly? O $71,385.13 O $113469.01 O $88 278.77 O $81,209.10

Expert avatar
Santino
4.5
112 Answers
Use the formula for present value with compound interest:

P = \frac{A}{(1 + \frac{r}{n})^{nt}}

Where:

A = 90000

r = 0.029

n = 12

t = 8

Plug in the values:

P = \frac{90000}{(1 + \frac{0.029}{12})^{12 \times 8}}

Calculate the result:

P = \frac{90000}{(1 + 0.00241667)^{96}}

P = \frac{90000}{(1.00241667)^{96}}

P = \frac{90000}{1.266317996}

P \approx 71,385.13

Answer: $71,385.13

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