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fomenos
2 years ago
13

The cost of tuition at a 2 year school is $14,000 per academic year. Todd is eligible for $6,500 in financial aid to cover tuiti

on each year. He will save money for one year to cover the remaining cost of tuition for his two years of school.
What is the minimum amount of money he needs to save each month?


$540

$625

$675

$1,250
Mathematics
2 answers:
Bess [88]2 years ago
7 0

Answer:

$625

Step-by-step explanation:

If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:

2(-$14000 + $6500) + 2(12x) = 0.

x is the minimum amount of money he needs to save in order to cover this expense without debt.

Thus 2(-$14000 + $6500) + 2(12x) = 0 →

2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →

24x = $15000 → x = $625

emmainna [20.7K]2 years ago
4 0

Answer:

$625

Step-by-step explanation:

If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:

2(-$14000 + $6500) + 2(12x) = 0.

x is the minimum amount of money he needs to save in order to cover this expense without debt.

Thus 2(-$14000 + $6500) + 2(12x) = 0 →

2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →

24x = $15000 → x = $625

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3 years ago
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2 years ago
which choice shows 13⋅(7⋅4) correctly rewritten using the associative property and then correctly simplified? 13⋅4⋅7
Cloud [144]

The answer choice which represents the correctly rewritten form of the expression is; (13⋅7)⋅4.

<h3>Which answer choices represents the expression according to the associative property?</h3>

It follows from the task content that tee expression given is; 13⋅(7⋅4).

However, it follows from the associative property of multiplication and addition is such that the equivalent expression can be rewritten as;

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7 0
1 year ago
Numbers that add to -0.5 and multiply to 1
Oliga [24]
Short Answer
There are two numbers
x1 = -0.25 + 0.9682i   <<<< answer 1
x2 = - 0.25 - 0.9582i   <<<< answer 2 
 
I take it there are two such numbers.
Let one number = x
Let one number = y

x + y = -0.5    
y = - 0.5 - x       (1)
xy = 1               (2)

Put equation 1 into equation 2
xy = 1
x(-0.5 - x) = 1
-0.5x - x^2 = 1               Subtract 1 from both sides.
-0.5x - x^2 - 1 = 0          Order these by powers
-x^2 - 0.5x -1 = 0           Multiply though by - 1
x^2 + 0.5x + 1 = 0         Use the quadratic formula to solve this.

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}

a = 1
b = 0.5
c = 1


\text{x = }\dfrac{ -0.5 \pm \sqrt{0.5^{2} - 4*1*1 } }{2*1}

x = [-0.5 +/- sqrt(0.25 - 4)] / 2
x = [-0.5 +/- sqrt(-3.75)] / 2
x = [-0.25 +/- 0.9682i

x1 = -0.25 + 0.9682 i
x2 = -0.25 - 0.9682 i

These two are conjugates. They will add  as x1 + x2 = -0.25 - 0.25 = - 0.50.

The complex parts cancel out.  Getting them to multiply to 1 will be a little more difficult. I'll do that under the check.

Check
(-0.25 - 0.9682i)(-0.25 + 0.9682i)
Use FOIL
F:-0.25 * -0.25 = 0.0625
O: -0.25*0.9682i
I: +0.25*0.9682i
L: -0.9682i*0.9682i = - 0.9375 i^2 = 0.9375

Notice
The two middle terms (labled "O" and "I" ) cancel out. They are of opposite signs.

The final result is 0.9375 and 0.0625 add up to 1
 
7 0
3 years ago
What is the value of Negative 5 Superscript 6? –15,625 –30 30 15,625
babymother [125]

Answer:

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Step-by-step explanation:

Lets use the information to present the question into mathematical form:

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so this means -5 is multiplying itself 6 times so this means

value of negative 5 superscript 6 means

(-5)^{6} = -5 x -5 x -5 x -5 x -5 x -5

so the answer is 15625

7 0
2 years ago
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