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Reika [66]
3 years ago
10

Exacta Manufacturing purchased manufacturing supplies for $4100. The manufacturing supplies have an estimated useful life of 7 y

ears and a residual value of $300. Using the straight-line method of depreciation, calculate the following. (If necessary, round your answer to the nearest cent.) a) Depreciation expense for year 1. b) Book value at the end of year 1.
Mathematics
1 answer:
lbvjy [14]3 years ago
7 0
Answer: 

Depreciation expense year 1: $ 542.86
Book value at the end of year 1: 3,557.14


Explanation:

1) Depreciation = [purchase price - residual value] / [useful life]

2) Depreciation = [$ 4100 - $ 300] / [7 years] = $ 542.86 / year


That is the depreciation expense after year 1.

3) The book value will be the purchasing value less the depreciation accumulated, which is that of one year: $ 4100 - $ 542.86 = $ 3,557.14

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ladessa [460]
X = amount of the 18% solution

y = amount of the 40% solution

we know the 18% solution has only 18% of alcohol, the rest is maybe water or something, now, how many liters is 18%?  well, 18% of anything is just (18/100) * anything, so, 18% of x is just (18/100) *x or 0.18x, and that's how many liters are there.

likewise, how many liters are there in the 40% solution?  well, (40/100) * y, or 0.4y, that many.

we know the mixture has to yield 10 liters at 20% alcohol, how many liters of only alcohol is that?  well, (20/100) * 10, or 2 liters.

\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\
&------&------&------\\
\textit{18\% solution}&x&0.18&0.18x\\
\textit{40\% solution}&y&0.40&0.4y\\
------&------&------&------\\
mixture&10&0.20&2
\end{array}

\bf \begin{cases}
x+y=10\implies \boxed{y}=10-x\\
0.18x+0.4y=2\\
----------\\
0.18x+0.4\left( \boxed{10-x} \right)=2
\end{cases}
\\\\\\
0.18x-0.4x+4=2\implies -0.22x=-2
\\\\\\
x=\cfrac{-2}{-0.22}\implies x=\cfrac{100}{11}\implies x=9\frac{1}{11}

how much of the 40% solution?  well y = 10 - x
3 0
3 years ago
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mamaluj [8]

Answer:

A/15=5

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Step-by-step explanation:

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Triangle ABC would remain the same because a dilation generally preserves the measure of an angle.

<h3>What is scale factor?</h3>

A scale factor simply refers to a ratio of two (2) corresponding side lengths or diameter in two (2) similar geometric figures such as triangles.

In this exercise, you're required to construct a dilation of triangle ABC that is centered at B with a scale factor of 2 by using a compass and straightedge.

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