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patriot [66]
3 years ago
10

A dress that normally cost $69.50 is on sale for 45% off what is the sales price of the dress

Mathematics
2 answers:
mr Goodwill [35]3 years ago
4 0
Price after discount= actual price - discount (price)
=69.5-45×69.5/100
=38.22 (check the calculation)
harina [27]3 years ago
4 0

The normal cost is $69.50. The dress is on sale for 45% off. That menas the new price is 55% of the actual price because:

100 \% - 45 \% = 55 \%

Multiply 55% by 69.50. First change 55% to a decimal.

To change a percent to a decimal, move the decimal point 2 places to the left and remove the percent sign.

55 \% \rightarrow 0.55

Now multiply by 69.50

0.55 \times 69.50 = 38.225 \rightarrow 38.23

The sales price of the dress is $38.23

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A car was purchased for $12,000 with a salvage value of $3000. It is
andreyandreev [35.5K]

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.

3 0
3 years ago
Rectangle PQRS is dilated by a scale factor of 2 (k=2) with the origin as the center. What are the coordinates of R('?
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Answer:

Correct Answer: (8,2)

Step-by-step explanation:

<u>Dilation about the origin</u>

Most dilations in the coordinate plane use the origin, (0,0), as the center of the dilation.

In such cases, every point (x,y) dilated by a factor of k is mapped to the point (kx,ky).

The point R=(4,1) is dilated by a scale factor of 2 (k=2), thus the coordinates of its image are (2*4,2*1) = (8,2)

4 0
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Find the mean median mode and range 2,5,9,4,3
snow_lady [41]
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Mode: there isn’t one (it’s the number repeated the most)
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3 0
3 years ago
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Find the area of the two faces that make up the roof of the house.
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7 0
3 years ago
Suppose it takes 45 hours for robot A to construct a new robot. Working together with robot B, it takes 25 hours for both robots
Len [333]

Answer:

56 hours 25 minutes

Step-by-step explanation:

Given:

Suppose it takes 45 hours for robot A to construct a new robot

It takes 25 hours for both robots to construct a new robot.

Question asked:

How long would it take robot B to construct a new robot, working alone ?

Solution:

Let the time taken by robot B to construct new robot = x

<u>By robot A</u>

It takes 45 hours to construct = 1 new robot

It takes 1 hour to construct = \frac{1}{45} \ new\ robot

<u>By robot B</u>

It takes x hours to construct = 1 new robot

It takes 1 hour to construct = \frac{1}{x} new robot

<u>By working together</u>

It takes 25 hours to construct = 1 new robot

It takes 1 hour to construct = \frac{1}{25} \ new\ robot

\frac{1}{25} new robot is constructed in = 1 hour

<u><em>New robot is constructed by both working together in 1 hour = New robot is constructed by robot A in 1 hour + New robot is constructed by robot B in 1 hour </em></u>

\frac{1}{25} =\frac{1}{45} +\frac{1}{x} \\

Subtracting both sides by \frac{1}{45}

\frac{1}{25}-\frac{1}{45} =\frac{1}{45} -\frac{1}{45}+\frac{1}{x} \\\\\frac{1}{25}-\frac{1}{45} =\frac{1}{x}\\\\ Taking\ LCM \ of \ 25\ and\ 45,\ we\ got\ 225

\frac{9-5}{225} =\frac{1}{x} \\ \\ \frac{4}{225} =\frac{1}{x}\\\\ By\ cross \ multiplication\\4\times x=225\\Dividing\ both\ sides\ by\ 4\\x=56.25\ hours

Thus, robot B would take 56 hours 25 minutes to construct a new robot, working alone.

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3 years ago
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