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3 years ago

15

Keira's older cousin earns $700 a week. Recently he moved into his own apartment. What amount of debt do you think is reasonable

for him to have? Why?

1 answer:

umka21 [38]3 years ago

5 0

Answer:

10,000

Step-by-step explanation:

You might be interested in

Vector v is shown in the graph.

Elis [28]

Question 4

<h3>Answer: Choice D</h3>

Explanation:

If the initial point is the origin, the coordinates of the terminal point form the vector itself in component form. We go from (-8,6) to <-8,6>. The notation change is from ordered pair to vector format.

We have a right triangle with legs of 8 and 6 units. The pythagorean theorem will help us determine the hypotenuse is 10. Therefore, the vector length is 10 units and we would say ||v|| = 10. We have a 6-8-10 right triangle.

===========================================================

Question 5

<h3>Answer: Choice B</h3>

Explanation:

Vector v starts at (2,5) and ends at (-3,-2).

The x component of the vector is x2-x1 = -3-2 = -5 meaning we move 5 units to the left when going from the start point to the endpoint.

At the same time we move 7 units down because y2-y1 = -2-5 = -7 which is the y component of the vector.

The component form of vector v is

v = <-5, -7>

it says "move 5 units left, 7 units down".

Apply the pythagorean theorem to find the length of the vector.

a^2+b^2 = c^2

c = sqrt(a^2 + b^2)

||v|| = sqrt( (-5)^2 + (-7)^2 )

||v|| = 8.602 which is approximate.

Now let's use the arctangent function to find the angle

theta = arctan(b/a)

theta = arctan(-7/(-5))

theta = 54.462 which is also approximate.

There's a problem however. This angle is in Q1 but the vector <-5,-7> is in Q3. An easy fix is to add on 180 to rotate to the proper quadrant.

54.462+180 = 234.462

which is the proper approximate angle for theta.

6 0

2 years ago

2. What is 355% of 15?

Studentka2010 [4]

Answer: 53.25

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A researcher wants to know how undergraduate college students at her university feel about a list of 1196 undergraduate college

marusya05 [52]

Complete Question

The complete question is shown on the first uploaded image

Answer:

Population

All undergraduate college students at the researcher's university ,

Sample

The 107 undergraduate college students who returned the questionnaire

Step-by-step explanation:

From the question we are told that

The list of undergraduate college students obtained from her university is n= 1196

The number of student that are randomly selected is n = 500

The number of e-mail that was returned is k = 107

The proportion that believes that the federal student loan program needs to be completely overhauled is $\^{p} = 0.71$

Generally the population for this particular study is

All undergraduate college students at the researcher's university ,

this is because they are the total pool of data from which the statistical sample are randomly selected from

Generally the sample for this particular study is

The 107 undergraduate college students who returned the questionnaire

this is because this data provides us with an insight on the perspective of all undergraduate college students at the researcher's university about federal financial aid

5 0

3 years ago

Point A is at-4 and point B is at 6. Which describes one way to find the point that divides AB into a 3:2 ratio?

galben [10]

The point that divides AB into a 3:2 ratio is calculated by (d) for a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2

<h3>How to determine the ratio?</h3>

The given parameters are:

A = -4

B = 6

Start by calculating the length AB using:

AB = |B - A|

This gives

AB = |6 -(-4)|

Evaluate

AB = 10

Next, the length is divided into 5 parts.

So, the length of each part is:

Length = 10/5

Length = 2

The point on the location 3 : 2 is then calculated as:

Point = A + 3 * Length

This gives

Point = -4 + 3 * 2

Evaluate

Point = 2

The above computation is represented by option (d)

Read more about number lines at:

brainly.com/question/4727909

#SPJ1

7 0

2 years ago

The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in the lake. What is

11111nata11111 [884]

Answer:

45

Step-by-step explanation:

Decreasing by 25% means that there is 25% less of last years amount or 0.25x less. It also means that this year there is only 75% of what was last year actually in the lake or 0.75x. Since last year, there were 60 fish, this means this year there is 0.75(60) = 45. This year has 45 fish.

Credit to this answer goes to @MrsStrong

Hope this helps :))

6 0

3 years ago

Read 2 more answers