Ann Arbor's leading local peanut butter company is Sticky PB Company. The total amount of peanut butter produced by Sticky PB Company $m$ months after Chunky Munky opens is given by

$S(m)=1500e^{0\mathrm{.}32m}.$

c$.$ By what percent is Sticky PB Company's production growing every month? Round your answer to two decimal places.

Answer:

$\%$

d$.$ production $m$ months after opening is best modeled by the exponential function

$C(m)=100(1\mathrm{.}6{)}^m.$

According to this model, when will Chunky Munky and Sticky PB Company have produced the same amount of peanut butter? Show all your work and leave your answer in exact form.

Answer:

months