Answer:
D 11%
$30
Explanation:
1. A cyclist estimates that he will bike 80 miles this week. He actually bikes 90 miles. What is the percent error of the cyclists estimate rounded to the nearest percent?
A 8%
B 9%
C 10%
D 11%
Actual distance: 90 miles
Estimated distance: 80 miles
percent error = (estimate - real)/real × 100%
percent error = (80 - 90)/90 × 100%
percent error = -11%
His error is 11%. The negative sign just means his estimate is 11% less than the real distance.
Answer: 11%
2. Jack borrows $3,000 at a rate of 4% per year. How much total will he pay if it takes 3 months to repay the loan?
$10
$20
$30
$40
interest = Prt
where P = principal (the amount borrowed or deposited)
r = annual rate of interest
t = time
We have P = $3,000
r = 4% = 0.04
t = 3 months = (3 months)/(12 months) = 0.25 year
interest = $3,000 × 0.04 × 0.25
interest = $30
He pays a total interest of $30.