Acertain motorcycle manufacturer has been building motorcycles for 98 years. over that period, production has increased steadily at an annual rate of 5%, so that the production rate, in motorcycles/year, after t years was

r(t)=a⋅1.05^t

where a is a constant representing the initial production rate. what fraction of their total production was built during the last 13 years? your answer should be a number between 0 and 1.

The fraction would be 0.53.

Step-by-step explanation:

Since we have given that

where, A is the constant initial production rate

t is the time.

For 98 years, the production rate in motorcycles per year would be

For 13 years, the production rate in motorcycles per year would be

So, the fraction of their total production was built during the last 13 years would be

Hence, the fraction would be 0.53.

whatever you can spend with $11.53 or under.

step-by-step explanation:

20 - 8.47 = 11.53. take away the money he used for lunch from the starting amount of 20.