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Lemur [1.5K]
3 years ago
13

Laura estimated the total cost of attending a private four-year university using the information in the table. Category Estimate

d Cost – 1 year tuition $29,500 room and board $9,600 books $2,125 lab and facilities fees $850 Laura received a grant that will pay for 30% of her annual estimated tuition and a scholarship that will pay for her books. What is the minimum Laura should expect to contribute to her college education for all four years?
Mathematics
2 answers:
4vir4ik [10]3 years ago
8 0

Answer:

$124,400

Step-by-step explanation:

The scholarship pays for 30% of her tuition.  This leaves her responsible for 100-30 = 70% of it.  70% = 70/100 = 0.7; this makes her part of the yearly tuition

0.7(29500) = 20650

She is still responsible for her $9600 room and board per year.  Her books are paid for by the scholarship; however she still has the lab and facility fees at $850 per year.

Altogether this gives her a total of

20650+9600+850 = 31100 per year.  Over the course of 4 years, this will cost her

31100(4) = 124400

marissa [1.9K]3 years ago
4 0
The scholarship will pay for $9,440 of her annual tuition, the remaining amount will be $20,060 yearly just in tuition.

She will have no expenses with books.

Each year will cost her $30,510 (tuition + room and board + lab and facilities fees)

Multiply that by four years of university, and she should be expecting to contribute with $122,040.
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Talja [164]

The value of X - Y such that the eight-digit number 7448X24Y is divisible by both 8 and 9 is 7

<h3>How to determine the distinct digits X and Y?</h3>

The eight-digit number is given as:

7448X24Y

Also, from the question

The number is divisible by 8 and 9

When a number is divisible by 8, then the last three digits of that number would be divisible by 8.

When a number is divisible by 9, the sum of the digits of the number would be divisible by 9.

So, we have:

24Y is divisible by 8

The possible value of Y from the above statement is 0

This is so because 240 is divisible by 8

The sum of the digits of the number would be divisible by 9.

This means that:

7 + 4 + 4 + 8 + X + 2 + 4 + Y = 29 + X + Y

Substitute 0 for Y

29 + X + Y = 29 + X + 0

Evaluate the sum

29 + X + Y = 29 + X

36 is divided by 9

So, we have

29 + X = 36

Subtract 29 from both sides of the equation

X = 7

So, we have

X = 7 and Y = 0

X - Y is calculated as:

X - Y = 7 - 0

Evaluate the difference in the above equation

X - Y = 7

Hence, the value of X - Y such that the eight-digit number 7448X24Y is divisible by both 8 and 9 is 7

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

There are 2 variables, so you need 2 equations to form a system of equations in two variables.

The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.

First equation:

100 + 2x + y + 5x + y = 180

Simplify:

7x + 2y = 80     (First equation)

Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.

Second equation:

2x + y = 5x - y

Simplify:

3x - 2y = 0    (Second equation)

Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.

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3x - 2y = 0

Solve the second equation for 2x.

3x = 2y

Now replace 2y in the first equation with 3x.

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Replace x with 8 in the second equation.

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