Friendly's quick loans, inc., offers you "ten for twelve or i knock on your door." this means you get $10.00 today and repay $12.00 when you get your paycheck in one week (or else). if you were brave enough to ask, what apr would friendly's say you were paying?

Friendly's would say you were paying 1042.86% APR.

Explanation:

Annual percentage rate (APR) can be described as the yearly interest rate that is paid by a borrower to a lender which is expressed in percentage term without taking compounding into consideration.

Annual Percentage Rate (APR) can be determined using the following formula:

APR = {[(Fees + Interest amount) / Principal / n] * 365} * 100 ……………… (1)

Where;

APR = ?

Fees = 0

Interest amount = Amount to repay - Amount to borrow = $12.00 - $10.00 = $2.00

Principal = Amount to borrow = $10.00

n = Number of days in the loan term = One week = 7 days

Substituting the values into equation (1), we have:

APR = {[(0 + 2) / 10 / 7] * 365} * 100

APR = 1042.86%

Therefore, friendly's would say you were paying 1042.86% APR.

a manufacturer of printed circuit boards uses exponential smoothing with trend to forecast monthly demand of its product. at the end of december, the company wishes to forecast sales for january. the estimate of trend through november has been 200 additional boards sold per month. average sales have been around 1000 units per month. the demand for december was 1100 units. the company uses α = 0.20 and β = 0.10. make a forecast including trend for the month of january.