One of your customers is delinquent on his accounts payable balance. You’ve mutually agreed to a repayment schedule of $500 per month. You will charge 1.2 percent per month interest on the overdue balance. If the current balance is $11,000, how long will it take for the account to be paid off? (Do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.)

It will take approximately 25.70 months for the the account to be paid off.

Explanation:

Assuming the customer pays at the end of every month, the relevant formula to use is therefore the formula for calculating the present value of an ordinary annuity as follows:

PV = P * [{1 - [1 / (1 + r)]^n} / r] …………………………………. (1)

Where;

PV = Present value or current balance = $11,000

P = Monthly repayment = $500

r = interest rate = 1.2%, or 0.012

n = number of months = ?

Substitute the values into equation (1) and solve for n, we have:

11,000 = 500 * [{1 - [1 / (1 + 0.012)]^n} / 0.012]

11,000 / 500 = {1 - [1 / (1 + 0.012)]^n} / 0.012

22 * 0.012 = 1 - 0.988142292490119^n

0.264 =  1 - 0.988142292490119^n

0.988142292490119^n = 1 - 0.264

0.988142292490119^n = 0.736

Loglinearizing both sides, we have:

n * log (0.988142292490119) = log (0.736)

n = log (0.736) / log (0.988142292490119)

n = -0.133122185662501 / -0.00518051250378013

n = 25.70

Therefore, it will take approximately 25.70 months for the the account to be paid off.

the page presents four different kinds of threats that volcanoes pose and what to do before, during, and after an eruption.

answer; i believe both technician (a) and (b) are correct; /// good luck