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gogolik [260]
4 years ago
8

When a student sold an Xbox on eBay for $145, she was charged a two-part final value fee: 5.25% of the first $25 of the selling

price plus 3.25% of the remainder of the selling price over $25. Find the fee to sell the Xbox on eBay. (Round your answer to the nearest cent.)
Mathematics
1 answer:
Contact [7]4 years ago
6 0
Selling Price = $145

Charge on first $25 is 5.25%
5.25% of $25 = \frac{5.25}{100}*25= \frac{5.25}{4} = 1.3125

Charge on rest is 3.25%
rest amount = $145 - $25 = $120
3.25% of $120 = \frac{3.25}{100}*120=3.9

Total\ charge=1.3125+3.9=5.2125 =\boxed{5.21}


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Circle O has a circumference of approximately 2501 ft.
yawa3891 [41]

For this case we have that by definition, the circumference of a circle is given by:

C = \pi * d

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d: Is the diameter of the circumference

According to the data we have to:

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Substituting:

250 = \pi * d\\Taking\ \pi = 3.14\\250= 3.14 * d\\d = \frac {250} {3.14}\\d = 79,6178343949

Rounding out we have that the diameter is: 80

Answer:

Option B

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3 years ago
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svetoff [14.1K]

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c) third quadrant

Step-by-step explanation:

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For each problem, explain or show your reasoning, a. 160 is what percentage of 40? b. 40 is 160% of what number? c. What number
grigory [225]

Answer:

A. 160 Out of 40 is 400%./// B. The answer is 25/// C.  The answer is 3905%

Step-by-step explanation:

( A )  One step solution:

You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.

So, 160 is 40% of =  <u>160 X 100   </u>   = 400

                                        40

                                             

( B ) The same thing as A but the numbers are switched

       One step solution:

You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.

So, 40 is 160% of = <u>40 × 100</u>      = 25

                                          160

( C ) Working out a percentage increase or decrease between two numbers is pretty simple. The resulting number (the second input) is 1602 and what we need to do first is subtract the old number, 40, from it:

1602 - 40 = 1562

Once we've done that we need to divide the result, 1562, by the original number, 40. We do this because we need to compare the difference between the new number and the original:

<u>1562  </u>    = 39.05          

40

We now have our answer in decimal format. How do we get this into percentage format? Multiply 39.05 by 100?

39.05 x 100 = 3905%

5 0
3 years ago
PointJ-2.1) and point K(45) form line segment JR. For the point P that partions JK in the ratio 3.7, what is the y-coordinate of
inessss [21]
The coordinates of point P would be (2.6, 1.6).

The ratio of the sides being 3:7 means that the segment JP would be 3/10 of the total and PK would be 7/10 of the segment.  

The slope of JK is given by finding the rise/run; in this case that is 4/2=2.  Since JP is 3/10 of the segment, we add 3/10 of the rise to the x-coordinate and 3/10 of the run to the y-coordinate:

(3/10(2)+2, 3/10(2)+1)
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3 years ago
Find the equation of the line that is perpendicular to y = –3x + 1 and passes though the point (6, 3).
JulsSmile [24]

Answer:

y = \frac{1}{3} x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 1 ← is in slope- intercept form

with slope m = - 3

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-3} = \frac{1}{3}, thus

y = \frac{1}{3} x + c ← is the partial equation of the perpendicular line

To find c substitute (6, 3) into the partial equation

3 = 2 + c ⇒ c = 3 - 2 = 1

y = \frac{1}{3} x + 1 ← equation of perpendicular line

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