Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 2 years?

$511.575

Step-by-step explanation:

Given data

P=$475

R=3.8%

T= 2 years

Compound interest

A=P(1+r)^t

substitute

A=475(1+0.038)^2

A=475(1.038)^2

A=475*1.077

A=511.575

Hence the final amount is $511.575

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).