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Answer :
The equivalent annual cost of the Econo-Cool Air Conditioner is approximately $170.65.
The equivalent annual cost of the Econo-Cool Air Conditioner can be calculated by taking into account the initial cost, operating cost, and the discount rate over the product's lifespan.
To calculate the equivalent annual cost, we first need to determine the present value of the total cost. The initial cost of $400 occurs at the beginning of year 1, so its present value is simply $400. The electricity bill of $170 occurs each year for a total of 7 years.
We can calculate the present value of this annuity using the formula for the present value of an ordinary annuity. Given a discount rate of 22%, we can calculate the present value of the annuity to be approximately $794.56.
Adding the present value of the initial cost and the present value of the annuity, we get a total present value of approximately $1,194.56. Since the product's lifespan is 7 years, the equivalent annual cost is calculated by dividing the total present value by the number of years, resulting in an equivalent annual cost of approximately $170.65.
Therefore, the equivalent annual cost of the Econo-Cool Air Conditioner is approximately $170.65. This represents the annual expense that would yield the same present value as the combination of the initial cost and operating costs over the product's lifespan, considering the given discount rate.
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