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mash [69]
4 years ago
8

A General Motors buyer-incentive program offered a 5.5% rebate on the selling price of a new car. What rebate (in dollars) would

a customer receive who purchased a $30,500 car under this program? (Enter a number as an exact integer or decimal.)
Mathematics
1 answer:
Mashcka [7]4 years ago
6 0

Answer: he would receive a rebate of $1677.5

Step-by-step explanation:

A General Motors buyer-incentive program offered a 5.5% rebate on the selling price of a new car. This means that if the selling price of the new car is $x, the rebate (in dollars) that a customer would receive is

5.5/100 × x = 0.055 × x = 0.055x

Therefore, for a customer who purchased a $30,500 car under this program, the rebate that he would receive is

0.055 × 30500 = $1677.5

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I don’t understand how to do it ?
Temka [501]

We know that Sum of Angles in a Triangle is Equal to 180°

Here EBF is a Triangle

⇒ m∠EBF + m∠BEF + m∠EFB = 180°

⇒ 60° + 40° + m∠EFB = 180°

⇒ 100° + m∠EFB = 180°

⇒ m∠EFB = 180° - 100°

⇒ m∠EFB = 80°

As Line m and Line p are Parallel Lines :

Alternate Interior Angles are Equal, here Alternate Interior Angles are m∠BEF and m∠ABE

⇒ m∠BEF = m∠ABE

⇒ m∠ABE = 40°

We know that Vertically Opposite Angles are Equal, Here m∠GFI and m∠EFB are Vertically Opposite Angles.

⇒ m∠GFI = m∠EFB

⇒ m∠GFI = 80°

We can notice that m∠DEB and m∠BEF form a Linear Pair

⇒ m∠DEB + m∠BEF = 180°

⇒ m∠DEB + 40° = 180°

⇒ m∠DEB = 180° - 40°

⇒ m∠DEB = 140°

We can notice that Sum of Angles m∠CBF and m∠EBF and m∠ABE is 180°

⇒ m∠CBF + m∠EBF + m∠ABE = 180°

⇒ m∠CBF + 60° + 40° = 180°

⇒ m∠CBF + 100° = 180°

⇒ m∠CBF = 180° - 100°

⇒ m∠CBF = 80°

We can notice that m∠BFG and m∠EFB form a Linear Pair

⇒ m∠BFG + m∠EFB = 180°

⇒ m∠BFG + 80° = 180°

⇒ m∠BFG = 180° - 80°

⇒ m∠BFG = 100°

We know that Vertically Opposite Angles are Equal, Here m∠BFG and m∠IFE are Vertically Opposite Angles.

⇒ m∠BFG = m∠IFE

⇒ m∠IFE = 100°

3 0
3 years ago
Yolanda owns 4 rabbits. She expects the number of rabbits to double every year.
Agata [3.3K]
Double every year
year one
4 times 2
year 2
4 times 2 times 2 aka 4 times 2^2
year 3
4 times 2 times 2 times 2 aka 4 times 2^3
obviously


at year 'n' the number of rabbits will be
4 times 2^n
6 0
4 years ago
Read 2 more answers
What is 15% of 287? Calculate the percentages. Make sure to show all your work!
jolli1 [7]

Answer:

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6 0
2 years ago
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Answer:

10% or 1/10 chance

Step-by-step explanation:

The chances of playing a country song first try is 15/150 or 1/10. There is a 10% chance of playing a country song on the first try.

4 0
3 years ago
What is the measure of angle A?<br> 5x<br> 6x + 13<br> A<br> 70
Rudiy27

Answer:

35

Step-by-step explanation:

5x+6x+13 = 90

x=7

5x=a

5(7)=35

4 0
3 years ago
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