- #1

Schaus

- 118

- 5

## Homework Statement

A colony of ants will grow by 12% per month. If the colony originally contains 2000 ants how long will it take for the colony to double in size?

Answer - 6.12 months

## Homework Equations

A = P(1+r/n)

^{nt}

## The Attempt at a Solution

r = 12% = 0.12

n = 12

P = 2000

A = 4000

t = ?

A = P(1+r/n)

^{nt}

4000 = 2000(1+0.12/12)

^{12t}

2 = (1.01)

^{12t}

log2 = log(1.01)

^{12t}

log2 = 12t log(1.01)

log2/12log(1.01) = t

t = 5.8 months

I don't know what I'm doing wrong. I've followed another compound interest question that is very similar to this one but my answer is still 0.3 months out. Can anyone point out what I'm doing wrong?

Thanks for your help