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Pani-rosa [81]
3 years ago
6

Julissa is thinking about getting her Master’s degree. She will give up making $28,000 a year for the 2 years it takes to comple

te the program. She will also pay $34,000 in total costs to get the degree. Assuming that she will make $60,000 a year after she completes her degree, how long will it take for her to recover her investment?
Mathematics
1 answer:
beks73 [17]3 years ago
7 0

Answer:

1.5 years

Step-by-step explanation:

She will give up making $28,000 per year for 2 years.  This means that she will give up making $56,000 in total.

$28,000 × 2 = $56,000

She also pay $34,000 in total to costs to get her degree.  She invested a total of $90,000.

$56,000 + $34,000 = $90,000

After graduating, she makes $60,000 a year.  It will take her 1.5 years to recover her investment.

90,000/60,000 = 1.5

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Algebra: Find x<br> ....
luda_lava [24]

Answer:

d

Step-by-step explanation:

The triangles are similar, thus the ratios of corresponding sides are equal, that is

\frac{2x+1}{x+4} = \frac{40}{25} = \frac{8}{5} ( cross-  multiply )

5(2x + 1) = 8(x + 4) ← distribute parenthesis on both sides )

10x + 5 = 8x + 32 ( subtract 8x from both sides )

2x + 5 = 32 ( subtract 5 from both sides )

2x = 27 ( divide both sides by 2 )

x = 13.5 → d

3 0
4 years ago
5x + qy, when x=8,y=11
Nataliya [291]

Answer:

40+11q

Step-by-step explanation:

5x+qy

5(8)+q(11)=40+11q

4 0
3 years ago
) Sarah donated one-tenth of her salary to an orphanage, one-third of her salary is spent on food, one-fourth of salary on rent
AleksAgata [21]

Answer:

₹ 4000

Step-by-step explanation:

Sarah's salary =₹ 30000

  • one-tenth of her salary to an orphanage= 1/10*₹ 30000= ₹ 3000
  • one-third of her salary is spent on food= 1/3*₹ 30000= ₹ 10000
  • one-fourth of salary on rent and electricity =1/4*₹ 30000= ₹ 7500
  • one-twentieth of her salary on the telephone= 1/12*₹ 30000= ₹ 2500
  • donated some amount to the Prime Minister's relief fund = x
  • She was left with ₹ 3000.

x= ₹ 30000- (₹ 3000+₹ 10000+₹ 7500+₹ 2500+₹ 3000)= ₹ 4000

8 0
3 years ago
In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC. Consider all possible cases. Case 1 : N∈BC, AB = __,
aivan3 [116]

Answer:

Case 1:

AB = 30

BC = 50

Case 2:

AB = 15.9

BC = 36.7

Case 3: Not possible

Step-by-step explanation:

Given

See attachment for illustration of each case

Required

Find AB and BC

Case 1:

Using Pythagoras theorem in ANB, we have:

AB^2 = AN^2 + BN^2

This gives:

AB^2 = 24^2 + 18^2

AB^2 = 576 + 324

AB^2 = 900

Take square roots of both sides

AB = \sqrt{900

AB = 30

To calculate BC, we consider ANC, where:

AC^2 = AN^2 + NC^2

40^2 = 24^2 + NC^2

1600 = 576 + NC^2

Collect like terms

NC^2 = 1600 - 576

NC^2 = 1024

Take square roots

NC = \sqrt{1024

NC = 32

So:

BC = NC + BN

BC = 32 + 18

BC = 50

Case 2:

Using Pythagoras theorem in ANB, we have:

AN^2 = AB^2 + BN^2

This gives:

24^2 = AB^2 + 18^2

576 = AB^2 + 324

Collect like terms

AB^2 = 576 - 324

AB^2 = 252

Take square roots of both sides

AB = \sqrt{252

AB = 15.9

To calculate BC, we consider ABC, where:

AC^2 = AB^2 + BC^2

40^2 = 252 + BC^2

1600 = 252 + BC^2

Collect like terms

BC^2 = 1600 - 252

BC^2 = 1348

Take square roots

BC = \sqrt{1348

BC = 36.7

Case 3:

This is not possible because in ANC

The hypotenuse AN (24) is less than AC (40)

3 0
3 years ago
There must be more than 4 campers in a group during free play and the difference between the number of boys, x, and the number o
Hoochie [10]
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x -----> the number of boys
y -----> the number of girls

----->inequality A
The solution of the inequality A is the shaded area above the solid line
The slope of the solid line is positive
The y-intercept of the solid line is (0,-5)
The x-intercept of the solid line is (5,0)
-----> equation B
The solution of the inequality B is the shaded area above the dashed line
The slope of the dashed line is negative
The y-intercept of the solid line is (0,4)
The x-intercept of the solid line is (4,0)
using a graphing tool
the solution of the system of inequalities is the shaded area between the solid line and the dashed line
see the attached figure
7 0
3 years ago
Read 2 more answers
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