Question

A hot, wet summer is causing a mosquito population explosion in a lake resort area. The number of mosquitos is increasing at an estimated rate of n(t) = 2100 + 10e0.9t per week (where t is measured in weeks). By how much does the mosquito population increase between the fifth and ninth weeks of summer? (Round your answer to three decimal places.) mosquitos

Answer 1

Answer:

$n(4)=2465.982$

Step-by-step explanation:

we have that $n(t)=2100+10e^{0.9t}$ where t is measured in weeks and n(t) number of mosquitos

Find n(t) to t=4 (9tn week - 5th week = 4 weeks)

$n(4)=2100+10e^{0.9*4} =2100+10e^{3.6}=2100+10*36.598243=2100+365.98243\\n(4)=2465.982$