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Reil [10]
3 years ago
14

Helen bought a four-unit apartment building for $561,000. The property lost value at a rate of 4.1% per year. Helen rented out e

ach unit for $530 per month, and paid $11,200 per year in upkeep costs. After eight years, she sold the building. To the nearest hundred dollars, what was Helen’s total profit or loss, assuming that she rented out each of her units continually? a. $70,100 loss b. $45,700 loss c. $326,600 profit d. $43,900 profit
the answer is b
Mathematics
2 answers:
ra1l [238]3 years ago
5 0

Answer:

The correct answer is B

Step-by-step explanation:

$45,700 loss

bogdanovich [222]3 years ago
3 0

Answer:

Option B.

Step-by-step explanation:

Helen bought a four-unit apartment building for $561,000. The property lost value at a rate of 4.1% per year.

A=a(1-r)^t

where, a is initial value, r is decreasing rate and t is time in years.

The value of building after 8 years is

Value=561000(1-0.041)^8\approx 401339

Diminishing value = Initial value - Value after 8 years

                            = 561,000 - 401,339

                            = 159,661

Helen rented out each unit for $530 per month, and paid $11,200 per year in upkeep costs.

Total rent of 4 units for 8 years = 530\times 4\times 12\times 8=203520

Total upkeep cost for 8 years = 11200\times 8=89600

Total earning = Total rent of 4 units for 8 years - Total upkeep cost for 8 years

                    = 203520 - 89600

                    = 113920

Profit = Total earning - Diminishing value

        = 113920 - 159661

        = -45,741

Round the answer to the nearest hundred dollars.

Profit  = -45,700

Negative sign represent the loss. It means Helen’s total loss is $45,700.

Therefore, the correct option is B.

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