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2 years ago

12

A new car has a sticker price of $24,750, while the invoice price paid was $21,950. What is the dealer markup?

2 answers:

Crazy boy [7]2 years ago

8 0

Answer:

12.76%

Step-by-step explanation:

APPPPPEEEEEXXXX

Irina18 [472]2 years ago

7 0

2800 is the correct answer for APEX

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A piece of paper is to display ~128~ 128 space, 128, space square inches of text. If there are to be one-inch margins on both si

Grace [21]

Answer:

The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches

Step-by-step explanation:

We have that:

$Area = 128$

Let the dimension of the paper be x and y;

Such that:

$Length = x$

$Width = y$

So:

$Area = x * y$

Substitute 128 for Area

$128 = x * y$

Make x the subject

$x = \frac{128}{y}$

When 1 inch margin is at top and bottom

The length becomes:

$Length = x + 1 + 1$

$Length = x + 2$

When 2 inch margin is at both sides

The width becomes:

$Width = y + 2 + 2$

$Width = y + 4$

The New Area (A) is then calculated as:

$A = (x + 2) * (y + 4)$

Substitute $\frac{128}{y}$ for x

$A = (\frac{128}{y} + 2) * (y + 4)$

Open Brackets

$A = 128 + \frac{512}{y} + 2y + 8$

Collect Like Terms

$A = \frac{512}{y} + 2y + 8+128$

$A = \frac{512}{y} + 2y + 136$

$A= 512y^{-1} + 2y + 136$

To calculate the smallest possible value of y, we have to apply calculus.

Different A with respect to y

$A' = -512y^{-2} + 2$

Set

$A' = 0$

This gives:

$0 = -512y^{-2} + 2$

Collect Like Terms

$512y^{-2} = 2$

Multiply through by $y^2$

$y^2 * 512y^{-2} = 2 * y^2$

$512 = 2y^2$

Divide through by 2

$256=y^2$

Take square roots of both sides

$\sqrt{256=y^2$

$16=y$

$y = 16$

Recall that:

$x = \frac{128}{y}$

$x = \frac{128}{16}$

$x = 8$

Recall that the new dimensions are:

$Length = x + 2$

$Width = y + 4$

So:

$Length = 8 + 2$

$Length = 10$

$Width = 16 + 4$

$Width = 20$

To double-check;

Differentiate A'

$A' = -512y^{-2} + 2$

$A" = -2 * -512y^{-3}$

$A" = 1024y^{-3}$

$A" = \frac{1024}{y^3}$

The above value is:

$A" = \frac{1024}{y^3} > 0$

This means that the calculated values are at minimum.

<em>Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches</em>

3 0

1 year ago

AT&T has a family plan of four lines for $125 and additional lines are $15 each per month. If Jason wants to spend at most $

denis-greek [22]

Given:

Cost of four lines = $125

Cost of each additional line = $15

Jason wants to spend at most $200 per month on cell phone expenses.

To find:

The inequality for the given situation.

Solution:

Let $x$ be the number of additional line.

Cost of one additional line = $15

Cost of $x$ additional line = $\$15x$

Total cost = Fixed cost + Addition cost

= $125+15x$

It is given that Jason wants to spend at most $200 per month on cell phone expenses. It means the total cost must be less than or equal to 200.

$125+15x\leq 200$

Therefore, the correct option is C.

8 0

2 years ago

What is the correlation coefficient for the data shown in the table?

Leviafan [203]

we know that

<u>The correlation coefficient</u> is a number between $-1$ and $+1$ that represent the linear dependence of two variables or sets of data

Using the function CORREL in a excel tool, calculate the correlation coefficient (r)

see the attached table

the correlation coefficient for the data in the table is equal to $1$

therefore

<u>the answer is</u>

$r=1$

7 0

2 years ago

Read 2 more answers

Point I is on line segment H J ‾ HJ . Given H I = 2 x , HI=2x, H J = 4 x , HJ=4x, and I J = 4 x − 10 , IJ=4x−10, determine the n

Cloud [144]

Answer:

<h3>10</h3>

Step-by-step explanation:

If point I is on the line segment HJ, then HI+IJ = HJ

Given the parameters

H I = 2 x

H J = 4 x

IJ=4x−10

Substituting the given parameters into the formula;

2x+4x-10 = 4x

6x-10 = 4x

collect like terms

6x-4x = 10

2x = 10

divide both sides b 2;

2x/2 = 10/2

x = 5

Since IJ = 4x-10

Substitute x = 5 into IJ

IJ = 4(5)-10

IJ = 20-10

IJ = 10

5 0

2 years ago

Read 2 more answers

Ari is designing a patio that will be 20 feet long and 16 feet wide. He makes a scale drawing of the patio using a scale of 1 in

lara31 [8.8K]

Wouldnt it be four? id its 1/4

6 0

2 years ago

Read 2 more answers