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sergejj [24]
2 years ago
11

Amanda wants to attend Baylor University for her 4-year college. She is a National Merit Scholar and scores a 1500 on her SATs.

This qualifies her for a yearly scholarship of $44,194. How much additional money does she need to have to attend Baylor for 4 years?
Mathematics
1 answer:
EleoNora [17]2 years ago
5 0

Answer:

$58,544

Step-by-step explanation:

Given that Baylor charges tuition fees at $41,194, Room at $13038 and Required fees at $4598 p.a. We also know that the scholarship pays $44194 p.a.

#The additional money for the four years is the total  minus the scholarship  multiplied by 4 yrs:

C_{p.a}=Tution+Room+Required\\\\=41194+13038+4598\\\\=58830\\\\Scholarship=44194\\\\\bigtriangleup p.a=58830-44194\\\\=14636

The additional cost to attend the college for the next four years is:

\bigtriangleup p.a=14636\\\\\sum{\bigtriangleup p.a _i}=4\times 14636\\\\=58544

Hence, Amanda needs an additional $58,544 to attend Baylor for the 4 years.

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A soup can, shaped like a cylinder, has a diameter of 3.5 inches and a height of 5 inches. Each serving of soup is 15 cubic inch
marissa [1.9K]

Answer:

The answer to your question is Cost of a serving = $0.62

Step-by-step explanation:

Data

diameter = 3.5 in

height = 5 in

each serving = 15 in³

Cost of the can = $1.99

Process

1.- Calculate the volume of the can

Volume = πr²h

-Substitution

Volume = (3.14)(3.5/2)²(5)

-Simplification

Volume = (3.14)(3.062)(5)

-Result

Volume = 48.08 in³

2.- Use proportions and cross multiplication to find the cost of a serving.

                   48.08 in³ ---------------- $1.99

                         15  in³ ----------------  x

                          x = (15 x 1.99)/48.08

                          x = 29.85/48.08

                          x = $0.62

7 0
3 years ago
The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?
Snezhnost [94]

Answer:

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

x + y = 9.9

x^{2} + y^{2} = 53.21

First, x is cleared in the first equation:

x = 9.9 - y

Now, the variable is substituted in the second one:

(9.9-y)^{2} + y^{2} = 53.21

And some algebra is done in order to simplify the expression:

98.01-19.8\cdot y +2\cdot y^{2} = 53.21

2\cdot y^{2} -19.8\cdot y +44.8 = 0

Roots are found by means of the General Equation for Second-Order Polynomials:

y_{1} \approx \frac{32}{5} and y_{2} \approx \frac{7}{2}

There are two different values for x:

y = y_{1}

x_{1} = 9.9-6.4

x_{1} = 3.5

y = y_{2}

x_{2} = 9.9 - 3.5

x_{2} = 6.4

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

5 0
3 years ago
In the figure below, B lies between A and C. Find the location of B so that AB is 1/8 of AC. ​
MArishka [77]

Answer:

-3

Step-by-step explanation:

first do -22-2= -24

then do 1/8 of -24= -3

6 0
3 years ago
What is the value of z for the equation fraction 1 over 2z = −fraction 3 over 4 + fraction 1 over 4z? −3 −1 1 3
Liono4ka [1.6K]
1/2 z = -3/4 + 1/4 z
1/2 z - 1/4 z = -3/4
1/4 z = -3/4
z = (-3/4)/(1/4)
z = -3/4 x 4/1
z = -3
6 0
2 years ago
Is the set of integers closed under division? Explain why or why not.
MrMuchimi

The set of integers is not closed under the operation of division because when an integer is divided by another, the results are not limited to only integers i.e. zero and decimals are possibilities

<h3>How to determine the true statement?</h3>

Integers are numbers without decimal points

When integers are divided, the possible results are:

  • Zero
  • Decimal
  • Integers

The decimal and the zero possibilities imply that the set of integers is not closed under the operation of division

This is so because when an integer is divided by another, the results are not limited to only integers i.e. zero and decimals are possibilities

Read more about sets at:

brainly.com/question/1563195

#SPJ1

5 0
1 year ago
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