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dangina [55]
3 years ago
15

125% of e is 30. What is e ?

Mathematics
1 answer:
andreev551 [17]3 years ago
6 0

well, "e" will be the 100%, and we know that 125% of "e" is 30, so then

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} e&100\\ 30&125 \end{array}\implies \cfrac{e}{30}=\cfrac{100}{125}\implies \cfrac{e}{30}=\cfrac{4}{5}\implies 5e=120 \\\\\\ e=\cfrac{120}{5}\implies e = 24

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4 0
3 years ago
The percentage method of withholding for federal income tax​ (2003) states that a single person whose weekly​ wages, after subtr
goblinko [34]

The range that the amount withheld vary if the weekly​ wages, after subtracting withholding​ allowances, vary from $600 to $700 ​inclusive is: 76.35<x<101.35.

<h3>Range</h3>

Given

592<x1317

74.35+.25

Hence:

Lowest range

74.35+.25(600-592)

74.35+.25(8)

74.35+2

=76.35

Highest range

74.35+.25(700-592)

74.35+.25(108)

74.35+27

=101.35

Range

76.35<x<101.35

Therefore the range that the amount withheld vary if the weekly​ wages, after subtracting withholding​ allowances, vary from $600 to $700 ​inclusive is: 76.35<x<101.35.

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7 0
2 years ago
The function P(x) = –0.015x^2 + 1.2x – 11.5 gives the profit, in thousands of dollars, when a company sells a new product at x d
dlinn [17]

Answer:

The profit decreases by $ 375 for every $ 1 increase in the selling price.

Step-by-step explanation:

From the definition of the secant line we get that the average rate of change of P(x) = -0.015\cdot x^{2}+1.2\cdot x -11.5, where x is the selling price of the product, measured in dollars per unit, is:

r = \frac{P(55)-P(50)}{55-50} (1)

Now we evaluate the function at each bound:

x = 50

P(50) = -0.015\cdot (50)^{2}+1.2\cdot (50)-11.5

P(50) = 11

x = 55

P(55) = -0.015\cdot (55)^{2}+1.2\cdot (55)-11.5

P(55) = 9.125

Then, the average rate of change is:

r = \frac{9.125-11}{55-50}

r = -0.375

Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.

8 0
3 years ago
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Ann [662]

Answer:

We will split the trapezoid into right angle triangle and rectangle

Traingle with base 3cm and height 10 - 6 = 4cm

Area of traingle

       = \frac{1}{2}*base *height = \frac{1}{2} * 3 * 4 = 6cm^{2}

Area of rectangle with sides 6cm and 3cm

       =6 * 3 = 18cm^{2}

Therefore, area of the trapezoid

       = 6+18 = 24cm^{2}

Area of the semi circle with radius 3/2 = 1.5cm

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Total area = 24 + 1.125\pi =27.53cm^{2}

8 0
3 years ago
It took a car 4 days to travel 2686 miles. What was this car's average speed, in miles per hour? (round to the nearest mile per
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Answer:

28

Step-by-step explanation:

Well we know that in a day there are 24 hrs so in 4 days there will be 96 hrs

so the car travelled 2686 miles in 96 hours

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So the car's average speed is about 28

3 0
3 years ago
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