Problema Solution
The foundation of your house has 1200 termites.
The termites grow at a rate of 2.4% per day.
How long until the number of termites double?
Answer provided by our tutors
start - the number of termites is: 1200
day 1 - the number of termites is: 1200 + 0.024*1200 = 1200(1 + 0.024)
day 2 - the number of termites is: 1200(1 + 0.024) + 0.024*1200(1 + 0.024) = 1200(1 + 0.024)^2
.....
day n - the number of termites is: 1200(1 + 0.024)^n
we need to find n so that
1200(1 + 0.024)^n = 2*1200
by solving the equation we find
n = 29.23 days
click here to see the step by step calculation
it takes about 30 days for the number of termites to double.