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soldier1979 [14.2K]
2 years ago
8

A structure's reproduction cost new is $489,900. The structure has an effective age of 4 years and was built 10 years ago. Assum

ing an economic life of 60 years, how much is the estimated annual depreciation?
Mathematics
1 answer:
olga_2 [115]2 years ago
5 0

Answer:

Annual depreciation will be $32660

Step-by-step explanation:

We have given effective year = 4 years

Economic life = 60 years

Reproduction cost of the structure = $489900

We have to calculate the annual depreciation

Annual depreciation is given by

Annual depreciation =\frac{effective\ age}{economic\ life}\times reproduction\ cost=\frac{4}{60}\times 489900=$32660

So annual depreciation will be $32660

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3 years ago
A warehouse contains 7250 books in it. Books are being shipped from the warehouse such that the number of books decreased by 150
Lapatulllka [165]

Using an linear function, we have that:

  • The inequality is: -150D + 7250 < 2000
  • The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem:

  • A warehouse contains 7250 books in it, hence b = 7250.
  • Books are being shipped from the warehouse such that the number of books decreased by 150 per day, hence m = -150.

Thus, the number of books each day is modeled by the following function:

B(D) = -150D + 7250

It will begin to print more books when the warehouse contains less than 2000 books, hence, the inequality is:

B(D) < 2000

-150D + 7250 < 2000

Then:

-150D < -5250

150D > 5250

D > \frac{5250}{150}

D > 35

The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

More can be learned about linear functions at brainly.com/question/24808124

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2 years ago
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