Question

David bought a chain of fast food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 12% annually

Answer 1

Complete Question

David bought a chain of fast food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 12% annually.how many stores does the restaurant operate in 2020?

Answer:

$N_{11} \approx 749$

Step-by-step explanation:

From the question we are told that:

Number of Fast Food Restaurants $P=200$

Number of years $t=11yrs$

Rate $r=12%$

Generally the equation for the Number of restaurant in operation in 2020 is mathematically given by

 $N(t)=Pe^{rt}$

Therefore

For t=11

 $N_{11}=200*e^{0.12*11}$

 $N_{11}=748.7$

 $N_{11} \approx 749$