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Elenna [48]
3 years ago
12

Suppose in the next year, 2007, College D's expenses and enrollment remain about the same, but in addition to their current reve

nues, they receive an additional $50,000,000 grant. This would allow them to reduce average tuition by how much?
Mathematics
1 answer:
Olin [163]3 years ago
7 0

This question is incomplete, here is the complete question:

Suppose in the next year, 2007, College D's expenses and enrollment remain about the same, but in addition to their current revenues, they receive an additional $50,000,000 grant. This would allow them to reduce average tuition by how much?

A) $1388.89

B) $3571.43

C) $5555.56

D) $9500.00

E) $25888.89

number of students = 36,000

Answer: A) $

1388.89

Step-by-step explanation:

the college received additional grant which is $50,000,000

and the number of students is 36,000,

and we also know that expenses and enrollment remained the same.

So if we have more money (grants) and nothing changed (expenses remain the same)

dividing the grant by the number of students will show just how much the average tuition fee would be reduced

therefore R = G/n

R = 50,000,000 / 36000

R = 1,388.888 ≈  $1388.89

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1. Solve and verify each of the following systems of linear equations. SHOW ALL WORK PLEASE AND THANK YOU
storchak [24]

Answer:


Step-by-step explanation:

(a)

Given the system of equation:

5x-2y=-6                .....[1]

2x-y=1                    .....[2]

Multiply equation [2] by -2 we get;

-4x + 2y = -2         ......[3]

Add equation [1] and [3] to eliminate y and solve for x we have;

5x -2y+(-4x+2y) = -6-2

5x -2y-4x+2y= -6-2

Combine like terms;

x = -8

Substitute the value of x in [2] we get;

2(-8)-y =1

-16-y = 1

Add 16 both sides we get;

-y = 17

or

y =-17

Answer; Solution for the given system of equation is (-8, -17)

Verify:

Substitute the value of x = -8 and y = -17 in the system of equation;

5x -2y = -6

5(-8)-2(-17) = -6

-40+34 = -6

-6 = -6          True

2x-y =1

2(-8)-(-17) = 1

-16+17 = 1

1 = 1               True.

(b)

Given the system of equation:

2x+3y=432                .....[1]

5x-2y=16                    .....[2]

Multiply equation [2] by 3 and equation [1] by 2 we get;

15x -6y = 48         ......[3]

4x +6y = 864         ......[4]

Add equation [3] and [4] to eliminate y and solve for x we have;

15x -6y+4x+6y =48+864

Combine like terms;

19x = 912

Divide both sides by 19 we get

x = 48

Substitute the value of x in [2] we get;

5(48)-2y=16

240 -2y = 16

Subtract 240 from both sides we get;

-2y =-224

Divide both sides by -2 we get

y =112

Answer: Solution for the given system of equation is (48, 112)

Verify:

Substitute the value of x = 48 and y = 112 in the system of equation;

2x+3y=432  

2(48)+3(112)=432  

96+33+3y=432            

432=432         true

5x-2y=16  

5(48)-2(112)=16  

240-224=16

16 = 16                          true  


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3 years ago
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iren2701 [21]
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7 0
2 years ago
What is the formula for a finite geometric series?
allsm [11]
What is it to be that you don't like the
4 0
3 years ago
Read 2 more answers
Find the slope that passes through the two points. (9,3) and (6,7)
JulijaS [17]

Answer:

m=4/-3

Step-by-step explanation:

the equation for slope (m) when given two points is (y2-y1)/(x2-x1)

we are given the points (9,3) and (6,7)

we can label the points:

x1=9

y1=3

x2=6

y2=7

now substitute into the equation

m=(7-3)/(6-9)

subtract

m=4/-3

the slope is 4/-3

hope this helps!

7 0
3 years ago
Your anula salary of $42,500 is about to he increased by 2%.Explain the steps you would take to determine your new salary.What w
amm1812

Answer:

$43,350

Step-by-step explanation:

To find the increase in the salary we need to find the percentage.

2 percent of $42,500 = $850.

$42,500 + $850 =  $43,350.

New salary = $43,350.

6 0
4 years ago
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