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Andrej [43]
2 years ago
15

Katya decided that she could not afford the $48,000 it would cost her to attend college and get her four-year degree. Instead, s

he entered the full-time workforce four years earlier than her peers who went to college. During those four years, she earned a total of $90,000. However, without a college degree, Katya made an average of $10,000 less than she could have with a degree every year for the 40 additional years of her career. What was the long-term financial cost of Katya deciding to not attend college?
Mathematics
1 answer:
LenaWriter [7]2 years ago
3 0

Answer: $310,000

Step-by-step explanation:

In 40 additional years, the amount she made less than her college counterparts was;

= 10,000 * 40

= $400,000

She however made $90,000 more than them as they went to college;

= 400,000 - 90,000

= $310,000

The long-term financial cost was $310,000.

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When Cara drives to work, it takes her 30 minutes to drive 15 miles. On her days off, she likes to drive to her favorite donut s
brilliants [131]

Answer:

3 miles

Step-by-step explanation:

First, we find the rate at which she drives, that is her speed.

Speed is given as:

speed = distance / time

When Cara drives to work, it takes her 30 minutes to drive 15 miles. Her speed is:

s = 15 / 30 = 0.5 miles per minute.

She drives at the same rate to The Dreamy Donut Shop and it takes her 6 minutes.

From the formula of speed, distance is given as:

distance = speed * time

Therefore, the distance of The Dreamy Donut Shop is:

distance = 0.5 * 6 = 3 miles

The Dreamy Donut Shop is 3 miles away.

3 0
2 years ago
Hannah was asked to make d the subject of the formula
labwork [276]

Answer:

Step-by-step explanation:

Multiply both sides of the equation by e

d*e - 7*e = 4d + 3            

de - 7e goes into the first box on top.

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

The second box is obtained in two steps.

Step One

Add 7e to both sides.

de - 7e + 7e = 4d + 3 + 7e

de = 4d + 3 + 7e            

Step Two

Subtract 4d from both sides.

de - 4d = 4d - 4d + 3 + 7e

de - 4d = 3 + 7e

de - 4d goes into the middle box.

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

Take out d as a common factor

d(e - 4) = 3 + 7e

d(e - 4) goes into the third box from the top.

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

Divide both sides by e - 4

     3 + 7e

d =  ---------

      e - 4

8 0
2 years ago
The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the
Bumek [7]

Given:

Vertices of triangle ABC are A (1,4), B(3,−2) and C(4,2).

Triangle ABC reflected over the x-axis to get the triangle A'B'C'.

To find:

The coordinates of the image A'B'C'.

Solution:

If a figure reflected over the x-axis, then rule of transformation is

(x,y)\to (x,-y)

Now, using this rule, we get

A(1,4)\to A'(1,-4)

B(3,-2)\to B'(3,2)

C(4,2)\to C'(4,-2)

Therefore, the coordinates of the image  A'B'C' after a reflection over the x-axis are A'(1,-4), B'(3,2) and C'(4,-2).

7 0
2 years ago
Given: Lines p and q are parallel and r is a transversal.
KengaRu [80]

Answer:

The statement A is Angle 2 is congruent to angle 3

The statement is Angle 3 is congruent to angle 7

Step-by-step explanation:

The given information are;

The given parallel lines = p and q

The given transversal = r

The angles from the top left at the intersection of p and r = 1, 2, 4, 3

The angles from the top left at the intersection of q and r = 5, 6, 8, 7

The 2-column table is presented as follows;

Statement {}                                                          Reasons

p is parallel to q and r is a transversal {}             Given

A {}                                                                          Vertical angles are congruent

B {}                                                                          Correlated angle theorem

Angle 2 is congruent to angle 7 {}                        Transitive property

We have the orientation of the angles given as follows;

1, 2

3, 4

5, 6

7, 8

Therefore, we have;

A = Angle 2 is congruent to angle 3 {}   Vertical angles are congruent

B = Angle 3 is congruent to angle 7  {}   Correlated angle theorem

To give;

Statement {}                                                          Reasons

p is parallel to q and r is a transversal {}             Given

Angle 2 is congruent to angle 3 {}                       Vertical angles are congruent

Angle 3 is congruent to angle 7 {}                       Correlated angle theorem

Angle 2 is congruent to angle 7 {}                       Transitive property

8 0
2 years ago
Read 2 more answers
Amir is operating a machine that adds sand to a concrete mixture. The machine adds 1/10 ton of sand to the mixture in 4/5 minute
zavuch27 [327]

for the above question, we can first convert the fractions to decimals to make it easier to work with

<span>1/10 of sand - 0.1 ton </span>

4/5 minute - 0.8 minute

<span>Q1 - </span>

<span>ratio </span>

0.1:0.8

since the ratio is in decimals we can convert it to whole numbers by multiplying by 10

1:8

Q2. amount of sand added in 0.8 minutes - 0.1 ton

<span>       amount of sand added in 1 minute - 0.1/0.8 = 0.125 tons</span>

<span>
</span>
7 0
2 years ago
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