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Pie
3 years ago
12

Equipment was acquired at the beginning of the year at a cost of $465,000. The equipment was depreciated using the straight-line

method based on an estimated useful life of 15 years and an estimated residual value of $45,000.
a. What was the depreciation for the first year?
$
b. Assuming the equipment was sold at the end of the eighth year for $235,000, determine the gain or loss on the sale of the equipment.
$
Loss
Feedback
c. Journalize the entry to record the sale. If an amount box does not require an entry, leave it blank.
Mathematics
1 answer:
vichka [17]3 years ago
3 0

Answer:

a. The value depreciation for the first year is $28000.

b. There will be a loss of sale of the equipment by $6000.

Step-by-step explanation:

Equipment was purchased at the beginning at a cost of $465,000.

Now, the price of the equipment depreciates in a linear manner i.e. depreciates equally every year.

The price of the equipment is depreciated to $45000 after 15 years of its estimated useful life.

So, the per year depreciation of value of the equipment will be \frac{465000 - 45000}{15} = 28000 dollars per year.

a. The value depreciation for the first year is $28000. (Answer)

b. The depreciated value of the equipment after 8 years will be $[465000 - (28000 × 8)] = $241000.

If the equipment was sold for $235000 at the end of the eighth year, then there will be a loss by $(241000 - 235000) = $6000. (Answer)

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kolezko [41]

In 16 months, two trees will be of same height

The trees will be of 58 inches tall

<em><u>Solution:</u></em>

Let "x" be the number of months

<em><u>The maple tree that is 42 inches tall is growing 1 inch per month</u></em>

Thus, equation for maple tree is given as:

Maple tree : 42 + 1 inch (number of months)

Maple tree : 42 + x ------- eqn 1

<em><u>The oak tree that is 10 inches tall is growing 3 inches per month</u></em>

Thus, equation for oak tree is given as:

Oak tree : 10 + 3 inch (number of months)

Oak tree : 10 + 3x -------- eqn 1

<em><u>For two two trees to be equal in height, equate eqn 1 and eqn 2</u></em>

42 + x = 10 + 3x\\\\3x - x = 42 - 10\\\\2x = 32\\\\x = 16

Thus, in 16 months, two trees will be of same height

<em><u>What will that height be?</u></em>

Substitute x = 16 in any one eqn

10+3x = 10 + 3(16) = 10+48 = 58

Thus the trees will be of 58 inches tall

3 0
4 years ago
The difference between the observed value of the dependent variable and the value predicted using the estimated regression equat
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Answer:

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For this case we assume that we want to find a linear regression model given by:

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Where:

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The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

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Step-by-step explanation:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

(x_1, y_1) ,....,(x_n,y_n)

For this case we assume that we want to find a linear regression model given by:

\hat y = \hat m x +\hat b

Where:

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And for any estimation of the dependent variable \hat y_i , i=1,...,n is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

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'of' means multiply

26% of what is 44.2 means
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