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Olenka [21]
2 years ago
6

You meet with the financial aid office to discuss your costs for attending MGA next semester. Tuition is $113.67 per credit hour

, and fees are a flat cost of $660. You have a grant of $350 and a scholarship of $400. If you are taking 15 credit hours, what amount will you need to pay for your classes next semester?
Mathematics
1 answer:
jenyasd209 [6]2 years ago
3 0

Answer:

$1615.05

Step-by-step explanation:

First the cost. We know that tuition per credit hour is 113.67 and there is a flat fee of 660. This can be represented by 113.67h + 660, where h is equal to the number of credit hours.

Next, the amount paid. There are two constants of 350 and 400 already there. We can represent the remaining amount that needs to be paid by another variable, x.

Now, the cost needs to be equal to the amount you pay. We can replace h with 15 for 15 hours and solve for x.

113.67h + 660 = 350 + 400 + x

113.67(15) + 660 = 350 + 400 + x

1705.05 + 660 = 750 + x

2365.05 = 750 + x

1615.05 = x

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Answer:

62°

Step-by-step explanation:

Given that the triangle has two angle measures of 41° and 77°.

All the angles in a triangle must add up to 180° (e.g. 20° + 60° + 100°). So we write a simple equation to solve for the mystery angle measure:

Let x = the missing measure

41 + 77 + x = 180

Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation: 118 + x = 180

Then we subtract 118 from both sides to isolate x - this will give us the value of this variable: x = 62

Therefore, the third angle must have a measure of 62°.

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3 years ago
ZA and ZB are vertical angles. If m A = (8x – 20)° and m B = (3x – 5)º,
kobusy [5.1K]

Answer:

x=11

Step-by-step explanation:

Vertical angles are congruent, so m∠A = m∠B.

4x+8 = 5x-3

Subtract 5x from both sides.

-1x+8=-3

Subtract 8 from both sides to isolate the variable.

-1x=-11

Divide both sides by -1 to solve for x.

x=11

Plug in 11 for x into m∠A=(4x+8)=(4(11)+8)=(44+8)=52.

4 0
3 years ago
A triangle has two sides that measures 7 cm which of the following cannot be the measure of the third side
klasskru [66]
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In a city the population is increasing exponentially at a rate of 1.6% per year.
SCORPION-xisa [38]

Answer:

37.36%

Step-by-step explanation:

Each year it increases 1.6%.

So year 1 it increases (1+1.6%), year 2 increases (1+1.6%)^2 and so on...

so after 20 years, overall increase is found by 1.016^20 = 1.3736 or increase of 37.36%

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3 0
2 years ago
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Answer:

1 ray is intersecting point O

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A ray can be defined as a part of a line that has a fixed starting point but no end point.

AD and EC both go on forever but OB has one endpoint and goes on forever.

3 0
3 years ago
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