Sean M.

asked • 10/20/20

Use compound interest formula A=P(1+i)n to find n. A=​2P; i=0.15​; n=​? n=__________ ​ (Do not round until the final answer. Then round up to the nearest integer as​ needed.)

Use compound interest formula A=P(1+i)n to find n.

A=​2P; i=0.15​; n=​?


n=__________ ​

(Do not round until the final answer. Then round up to the nearest integer as​ needed.)

Hunter E.

The basic formula is wrong. It should read A=P(1+i)^n. Divide A by P, then take the log of both sides. this becomes: LOG(A/P) = n x LOG(1+i) divide both sides by LOG (1+i): LOG(A/P)/LOG(1+i) = n Substitute in: LOG(2P/P)/LOG(1+.15) = n Reduces to: LOG(2)/LOG(1.15) = n n = 4.96 So if you invest $1000 at 15% interest, you'll have $2000 in just short of 5 years.
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12/09/20

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