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lidiya [134]
3 years ago
7

A car was purchased for $12,000 with a salvage value of $3000. It is

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
3 0

Answer:

<h2>B.$9,000</h2>

Step-by-step explanation:

The sum of years method is used to calculate the depreciation of an asset. Depreciation is the decrease value of an asset, because it's assumed that its value decreases over time.

We need to calculate a Depreciation Base or Depreciable Cost, and Depreciation Fraction, as the formula attached indicates.

First, the Depreciation Base is calculated by subtracting the total amount $12,000 with the salvage value $3,000 which results in $9,000.

<em>(the salvage value is an estimation of the book value of the asset after the depreciation).</em>

Second, we know that the Remaining Useful Life of the Asset is 5 years, and the sum of the years digits is 1 + 2 + 3 + 4 + 5 = 15, which give us 5/15 as Depreciation Fraction. Then, we are able to calculate the Depreciation Expense.

Depreciation Expense = (5/15)x9000 = $3,000.

So, the book value at the end of the first year will show: $12,000 - $3000 = $9,000.

This means that the fist year the asset will lose $3,000 of its value. Companies calculate the depreciation of all the assets to know the productivity.

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Find the 5th term of the expansion of ( 6x + 6y)^11
Elodia [21]

The 5 th term of the given expression is 330(6x)^{7}( 6y)^{4}.

Step-by-step explanation:

Given,

(6x+6y)^{11}

To find the 5th term of the given expression.

Formula

In a binomial series (a+b)^{n}, the r th term is = nC(r-1) a^{n-r-1} b^{r-1}, where,

nC(r-1) = \frac{n!}{(r-1)!(n-r+1)!}

Now,

Putting, n=11, r = r, a=6x and b=6y we get,

5 th term = 11C4(6x)^{7}( 6y)^{4}

= \frac{11!}{4!7!}(6x)^{7}( 6y)^{4}

= \frac{11X10X9X8X7!}{7!X4X3X2X1}(6x)^{7}( 6y)^{4}

= 330(6x)^{7}( 6y)^{4}

Here is the answer.

6 0
3 years ago
Portioning a line segment​
harkovskaia [24]

Answer:

the ratio is 2:30 sorry if its incorrect have a nice day

4 0
2 years ago
Find the measure of
ra1l [238]
What are you trying to measure?
6 0
3 years ago
A survey found that women's heights are normally distributed with mean 62.7 in, and standard deviation 2.8 in. The survey also f
Viefleur [7K]

Using the normal distribution, we have that:

The percentage of men who meet the height requirement is 3.06%. This suggests that the majority of employees at the park are females.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation of men's heights are given as follows:

\mu = 69.3, \sigma = 3.9.

The proportion of men who meet the height requirement is is the <u>p-value of Z when X = 62 subtracted by the p-value of Z when X = 55</u>, hence:

X = 62:

Z = \frac{X - \mu}{\sigma}

Z = \frac{62 - 69.3}{3.9}

Z = -1.87

Z = -1.87 has a p-value of 0.0307.

X = 55:

Z = \frac{X - \mu}{\sigma}

Z = \frac{55 - 69.3}{3.9}

Z = -3.67

Z = -3.67 has a p-value of 0.0001.

0.0307 - 0.0001 = 0.0306 = 3.06%.

The percentage of men who meet the height requirement is 3.06%. This suggests that the majority of employees at the park are females.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

8 0
1 year ago
Are 35° and -685° coterminal?
Naya [18.7K]

Answer:  YES

<u>Step-by-step explanation:</u>

Coterminal means they are located at the same place on the Unit Circle but are n-rotations clockwise or counterclockwise.

Start with 35° and continue to subtract 360° (which is one rotation) until you reach -685° or pass it.  If you reach -685°, then it is coterminal.  If you pass it, then it is not coterminal.

35° - 360° = -325°

                    -325° - 360° = -685°

So, -685° is 2 rotations counterclockwise to 35°, which means the two angles are coterminal to each other.

6 0
3 years ago
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