Calculate the total cost of an item bought at a negotiated price of $14,380, a $2,700 trade-in allowance, a sales tax of 7.2 percent, and a $79 registration fee.$14266.08

$13,689.35

$12,794.36

$12,599.96

Answers

Answer 1
Answer:

The total cost of an item bought at a negotiated price of $14,380 is $12495.36.

Item bought at a negotiated price of $14,380, a $2,700 trade-in allowance,

A sales tax of 7.2 percent, and a $79  registration fee.

Let us find the cost of the item after 7.2% of sales tax.

What is the cost?

A cost is an expenditure required to produce or sell a product or get an asset ready for normal use.

The cost of an item after 7.2% of sales tax will be equal to 15640 plus 7.2% of 15640.

The cost of items after sales tax

=14,380+((7.2)/(100)* 14,380)

=14,380+(0.072 * 14,380)

=15415.36

Therefore the cost of an item after 7.2% of sales tax will be 15415.36

Now let us add the registration fee to the cost of the item.

The cost after registration fees is to the cost of items

=15415.36+79

=15495.36

Now let us subtract $2700 trade allowance to find the total cost of the item.

=15495.36- 2700

=12795.36

Therefore the total cost is $12495.36.

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Answer 2
Answer:

Answer:

The answer to this is option C: $12,794.36

Step-by-step explanation:

I just completed the test and this was the corrected answer.


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Triangle M was dilated by a scale factor of 1.2 to form triangle M. How does the area of triangle M'relate to the area of triangle M?
A- The area of triangle M'is 0.6 times the area of triangle M.
B- The area of triangle M'is 1.2 times the area of triangle M.
C- The area of triangle M'is 1.44 times the area of triangle M.
D- The area of triangle M' is 2.4 times than the area of triangle M.

Answers

Answer:

The area of triangle M is 1.44 times the area of triangle M.

Step-by-step explanation:

From Geometry we remember that the area formula of the triangle is:

A = (1)/(2)\cdot b\cdot h(1)

Where:

b - Base of the triangle, dimensionless.

h - Height of the triangle, dimensionless.

A - Area of the triangle, dimensionless.

The dillation of the triangle by a scale factor means that:

A' = (1)/(2)\cdot b'\cdot h'(2)

b' = k\cdot b(3)

h' = k\cdot h(4)

Where:

b' - Dilated base of the triangle, dimensionless.

h' - Dilated height of the triangle, dimensionless.

A' - Dilated area of the triangle, dimensionless.

k - Dilation factor, dimensionless.

If we know that k = 1.2, then the area formula for the dilated triangle is:

A' = (1)/(2)\cdot (k\cdot b)\cdot (k\cdot h)

A' = k^(2)\cdot (1)/(2)\cdot b\cdot h

A' = k^(2)\cdot A

Therefore, the area of triangle M is 1.44 times the area of triangle M.

Answer:

C- The area of triangle M'is 1.44 times the area of triangle M.

Step-by-step explanation:

1.44 divided by 1.2=1.2

Perform the operation. (10x2 – 10x – 6) + (x+6)

Answers

Answer:

10x² - 9x

Step-by-step explanation:

(10x² - 10x - 6) + (x + 6)

10x² - 10x - 6 + x + 6

10x² - 9x - 6 + 6

10x² - 9x

out of 10 student, the favorite drink of 7 is Coke and the favorite drink of of the rest is fanta. a teacher picks a student at random. what is the probability that the favorite drink of the student is (a) Coke (b) fanta (c) neither Coke nor fanta (d) either Coke or fanta​

Answers

Answer:

a) 0.7

b) 0.3

c) 0

d) 1

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

(a) Coke

Out of 10, 7. So

p = (7)/(10) = 0.7

(b) fanta

3 out of 10. So

p = (3)/(10) = 0.3

(c) neither Coke nor fanta

7 Coke, 3 fanta, so all 10 are either coke or fanta. Thus:

p = (0)/(10) = 0

(d) either Coke or fanta​

All 10. Thus:

p = (10)/(10) = 1

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Answers

First of all move all the Xs to the left side, and the numbers to the left.
So
x/2-x = -13
Which means
X/2-x/1 = -13
Which means x/2-2x/2 = -13
So u combine to two fractions
-x/2 = -13
-x = -13 * 2
Which means x = 26 (u flip the negativity)

Suppose a professor splits their class into two groups: students whose last names begin with A-K and students whose last names begin with L-Z. If p1 and p2 represent the proportion of students who have an iPhone by last name, would you be surprised if p1 did not exactly equal p2? If we conclude that the first initial of a student's last name is NOT related to whether the person owns an iPhone, what assumption are we making about the relationship between these two variables?

Answers

a) Even if the distribution of iPhones by last name is completely uniform in the population generally, there is no reason to believe that the proportions in the sample represented by the class will be identical.
  I would not be surprised to see p1 ≠ p2.

b) Saying the variables are not related is the same as saying the variables are independent.

Find the equation of a line passing through the point (-4,1) and perpendicular to theline 3y = 12x - 9.

Answers

Answer:

A. y=-1/4x

Step-by-step explanation:

We have the information 3y=12x-9, the lines are perpendicular, and the new line passes through (-4,1). First, you want to put the original equation into slope intercept form by isolating the y, to do this we need to divide everything by 3 to get y=4x-3. The slopes of perpendicular lines are negative reciprocals so you need to find the negative reciprocal of 4, so flip it to 1/4 and multiply by -1, we get the slope of the new line as -1/4. So far we have the equation y=-1/4x+b. We are given a point on the line, (-4,1), we can plug these into the equation as x and y to solve for the y-intercept, b. You set it up as 1=-1/4(-4)+b. First you multiply to get 1=1+b, then you subtract 1 from both sides to isolate the variable and you get b=0. Then you can use b to complete your equation with y=-1/4x, or letter A.