Sean M.
asked 10/20/20Use 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.)
2 Answers By Expert Tutors
the underlying formula that you want to use to solve this one is
A = P(1 + r)^n
for this scenario that means taking
2P = P(1 + 0.15)^n and then solving for the value of "n" algebraically
2 = (1.15)^n
n = ln(2) / ln(1.15) = 4.959
rounding that up to the nearest integer would be 5
Check the formula you have
You just need o rearrange the formula to solve for n and plug in the data you have.
You have A = P(1+ i)n
n = A/(P(1 + i))
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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.12/09/20