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Hatshy [7]
2 years ago
9

Delia purchased a new car for $25,350. This make and model straight line depreciates to zero after 13 years.

Mathematics
1 answer:
vesna_86 [32]2 years ago
6 0

Answer:

See below in bold.

Step-by-step explanation:

a. The y coordinate will  be (0, 25,350) as $25,350 is the value of the new car at year 0.

The x coordinate  will be when the car is worth zero dollars and this is at the point (13, 0).

b. The slope = -25,350 / 13 = -1950.

c. The equation is y = -1950x + 25350.

d. To draw the graph just join the above 2 points.

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Drupady [299]
A^2 + 5^2 = 10^2
a^2 + 25 = 100

a^2 = 100-25
a^2 = 75
a = sqrt(75) = 5sqrt(3)
 answer is A

3 0
2 years ago
Noah is writing an exam for his 8th grade students. The exam is worth 100 points and Noah wants 35 questions on the exam. He pla
MaRussiya [10]

Answer: the system of equations are

x + y = 35

3x + 2y = 100

Step-by-step explanation:

Let x= the number of short answer questions.

Let y= the number of multiple choice questions.

Noah wants 35 questions on the exam. This means that

x + y = 35

He plans to mix short answer questions, worth 3 points, with multiple choice questions worth 2 points. This means that x short answer questions will give 3x points and y multiple choice questions will give 2y points

Since the exam is worth 100 points, then,

3x + 2y = 100 - - - - - - - -1

Substituting x = 35 - y into equation 1, it becomes

3(35 - y) + 2y = 100

105 - 3y + 2y = 100

y = 105 - 100 = 5

x = 35 - y = 35 - 5

x = 30

3 0
2 years ago
Kylie needs to pack her baton for a color-guard competition. The baton is 38 inches long. Will it fit in a rectangular box with
jonny [76]

Answer:

NO

Step-by-step

No. 38 inches can't fit in 35 inch long box.

8 0
2 years ago
A 90 percent confidence interval is to be created to estimate the proportion of television viewers in a certain area who favor m
Dominik [7]

Answer:

This means that the first interval, with 9000 viewers, is 3 times as narrower as the second interval, with 1000 viewers.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The width of the interval is:

W = 2z\sqrt{\frac{\pi(1-\pi)}{n}}

In this sample:

Two 90% intervals, with different lenghts. So both have the same values for z an \pi

Interval A:

9000 viewers.

So the width is

W_{A} = 2z\sqrt{\frac{\pi(1-\pi)}{9000}}

Interval B:

100 viewers

So the width is

W_{B} = 2z\sqrt{\frac{\pi(1-\pi)}{1000}}

Relationship between the widths:

R = \frac{W_{A}}{W_{B}} = \frac{2z\sqrt{\frac{\pi(1-\pi)}{9000}}}{2z\sqrt{\frac{\pi(1-\pi)}{1000}}} = \frac{\sqrt{1000}}{\sqrt{9000}} = \frac{\sqrt{1}}{\sqrt{9}} = \frac{1}{3}

This means that the first interval, with 9000 viewers, is 3 times as narrower as the second interval, with 1000 viewers.

8 0
2 years ago
Find the domain of the graphed function apex
Alexeev081 [22]

Answer:

Me :3

Step-by-step explanation:

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