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2 years ago

29. A DVD player has a list price of $120. The

Mathematics

1 answer:

kvv77 [185]2 years ago

8 0

Answer:

$90

Step-by-step explanation:

First the given is the listed price of DVD which is 120 dollars.

Now we need to find out what the price will be after discount of 25%

To do this we will have to convert the percentage to decimal by moving decimal 2 place left and removing percentage sign which will become 0.25.

Then we multiply by the listed price which is 120

so 120*0.25=30

so we subtract 30 by original price cause that is the discount off we are receiving

120-30=90

so 90 will be the sale price after 25% discount.

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A devastating freeze in California's Central Valley in January 2007 wiped out approximately 75% of the state's citrus crop. It t

solniwko [45]

The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.

The linear equation of the function is: $g(P) = 22.9P+7$ .
The inverse function is: $g^{-1}(c) = \frac{1}{22.9}(c - 7)$ .
A practical domain is from 0% to 100%
A practical range is from 7 to 29.9

A. Input quantity

The input quantity is the percentage of frozen citrus crop

B. Output quantity

The output quantity is the cost of box of oranges

C. The linear function

We have:

$(P_1,c_1) = (20\%,11.58)\\(P_2,c_2) = (80\%,25.32)$

Calculate the slope of the function

$m = \frac{c_2 - c_1}{P_2 - P_1}$

$m = \frac{25.32 - 11.58}{80\%-20\%}$

$m = \frac{13.74}{60\%}$

$m = 22.9$

The linear equation is calculated as follows:

$c -c_1 = m(P-P_1)$

$c -11.58= 22.9(P-20\%)$

$c-11.58 = 22.9P-4.58$

D. Rewrite as y = mx + b

We have:

$c-11.58 = 22.9P-4.58$

Collect like terms

$c = 22.9P - 4.58 + 11.58$

$c = 22.9P+7$

The function is:

$g(P) = 22.9P+7$

E. A practical domain

The domain is the possible values of P. Because P is a percentage, its possible values are 0% to 100%.

The domain of the function is: $[0\%,100\%]$

F. A practical range

When P = 0%

$c = 22.9 \times 0\% + 7 = 7$

When P = 100%

$c = 22.9 \times 100\% + 7 = 29.9$

Hence, the range of the function is: $[7,29.9]$

G. The meaning of $g^{-1}(12)$

The inverse function of g(P) is $g^{-1}(P)$

So:

$g^{-1}(12)$ is the percentage of frozen citrus crop, when the cost is $12.

H. The inverse formula

We have:

$c = 22.9P+7$

Subtract 7 from both sides

$c - 7 = 22.9P$

Make P the subject

$P = \frac{1}{22.9}(c - 7)$

So, the inverse formula is:

$g^{-1}(c) = \frac{1}{22.9}(c - 7)$

Substitute 12 for c

$g^{-1}(12) = \frac{1}{22.9}(12 - 7)$

$g^{-1}(12) = \frac{1}{22.9} \times 5$

$g^{-1}(12) = 22\%$

Read more about linear equations at:

brainly.com/question/19770987

6 0

2 years ago

A road sign is in the shape of a regular pentagon. What is the measure of each angle on the sign? Round to the nearest tenth. Se

dangina [55]

Answer:

Option D) 108 degrees

Step-by-step explanation:

We are given the following in the question:

A regular pentagon.

Thus, all the angles of the pentagon are equal.

Angle sum property of pentagon:

In a pentagon, the sum of all the interior angle of a pentagon is 540 degrees.

Measure of each angle =

$=\dfrac{\text{Measure of angle}}{\text{Number of angle}} = \dfrac{540}{5} = 108^\circ$

Thus, the measure of each angle on the sign is 108 degrees.

Option D) 108 degrees

6 0

2 years ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The table shows a p

topjm [15]

What is the question ????????????

8 0

2 years ago

Read 2 more answers

In spherical geometry, all points are points on the surface of a sphere. A line is a circle on the sphere whose diameter is equa

mamaluj [8]

Answer: It is not possible that two triangles that are similar and not congruent in spherical geometry.

Step-by-step explanation:

For instance, taking a circle on the sphere whose diameter is equal to the diameter of the sphere and inside is an equilateral triangle, because the sphere is perfect, if we draw a circle (longitudinal or latitudinal lines) to form a circle encompassing an equally shaped triangle at different points of the sphere will definately yield equal size.

in other words, triangles formed in a sphere must be congruent and also similar meaning having the same shape and must definately have the same size.

Therefore, it is not possible for two triangles in a sphere that are similar but not congruent.

Two triangles in sphere that are similar must be congruent.

8 0

3 years ago

Find <img src="https://tex.z-dn.net/?f=%28%20%7B4x%7D%5E%7B2%7D%20%20%2B%203x%29%20%2B%20%28%20%7B7x%7D%5E%7B2%7D%20%20-%205

marishachu [46]

Answer:

$11x^2-2x-6$

Step-by-step explanation:

$(4x^2+3x)+(7x^2-5x-6)= \\\\(4x^2+7x^2)+(3x-5x)-6= \\\\11x^2-2x-6$

Hope this helps!

4 0

3 years ago