C) if an initial investment of $ 35,000 grows to $257,000 in 15 years, what annual interest rate, continuously compounded, was earned?

13.29%

Step-by-step explanation:

The formula to calculate the compound amount (compounded continuously) is given by :-

, where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.

Given : P= $ 35,000 , A=  $257,000 and t=15 years

To find : r , we substitute all the values in the above formula , we get

Taking natural log on both the sides , we get

Hence, the annual interest rate = 13.29%

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316