Suppose that you currently own a clothes dryer that costs $25 per month to operate A new efficient dryer costs $590 and has estimated operating cost of $15 per month. How long will it take for the new dryer to pay for itself? The clothes dryer will pay for itself in _months.

Answer:After 59 months the new dryer will pay for itself.Step-by-step explanation:Let the new clothes dryer takes 'x' months to pay for itself.Then the operating cost of the new dryer will be = 15xSince cost of the new dryer = $590So, total cost of the dryer in x months = $(590 + 15x)Now we know old dryer's operating cost is = $25 per month So, operating cost for x months = 25xBy the time when new dryer's total cost becomes equal to the old dryer's operational cost, the new dryer will pay for itself.Now we can get the value of x by equating the old dryer's operational cost and the new dryer's total cost.25x = 590 + 15x 25x - 15x = 59010x = 590x = [tex]\frac{590}{10}[/tex]x = '59 months'