How long does it take?

2015-01-07 8:25 pm

更新1:

A bank pays interest continuously at the rate of 6%. How long does it take for a deposit of Q0 to grow in value to 2Q0?

更新2:

The answer is (50*ln(2))/3 yrs. Please show all your work.

回答 (3)

2015-01-07 8:33 pm

✔ 最佳答案

exp(0.06t) = 2
0.06t = ln 2
t = ln 2 / 0.06 = 11.5525 years

1/0.06 = 100/6 = 50/3
so t = 50 ln 2 / 3

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2015-01-07 8:28 pm

2Q0 = Q0 e^(0.06t) --->e^(0.06t)=2 --->0.06t = ln(2) ---> t = (ln(2))/0.06 = (50*ln(2))/3 yrs

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2015-01-07 9:09 pm

To fly from here to Alpha Centauri? About a million lifetimes.

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