SOLUTION: A family of 120 termites invades your house and grows at a rate of 18% per week. How many termites will be in your house after 1 year? a) Use the rate formula to find the number

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Question 1157519: A family of 120 termites invades your house and grows at a rate of 18% per week. How many termites will be in your house after 1 year?
a) Use the rate formula to find the number of termites.



b) Use the rate to find the approximate Tdouble, and then find the number of termites in 1 year, using the Tdouble - new value formula.





c) Use the rate to find the exact Tdouble, and then find the number of termites in 1 year, using the Tdouble- new value formula.



d) Compare the values from a), b), and c).

Can I please get a, b, c, and d answered
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
y=120%281.18%29%5Ex
x is number of weeks, and 1 year is 52 weeks.

(a)
y=120%2A1.18%5E52
y=656214

(b)
Already shown.
120 termites initially, and 656214 termites after 1 year.


(c)
Tdouble
?

If you are interested in the doubling-time, then
240=120%281.18%29%5Ex
2=1.18%5Ex
log%28%282%29%29=x%2Alog%28%281.18%29%29
x=log%28%282%29%29%2Flog%28%281.18%29%29
x=4.187 weeks
29 days to the nearest whole number