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motikmotik
3 years ago
13

Hank works at an auto repair shop. He has a customer that spent $415 on parts for the repair. Hank

Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0

Answer:

Auto repair labor rates vary widely across the country, and even within the same city. As of January 17, 2017, auto repair shops in the AAA Approved Auto Repair network charged between $47 and $215 per hour, based primarily on the shop's cost of doing business.

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how much must you deposit in an account that pays 8% annual interest compounded monthly to have a balance of $1,000 after one ye
strojnjashka [21]

Answer:

\$923.36  

Step-by-step explanation:

we know that

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=1\ year\\ A=\$1,000\\ r=0.08\\n=12  

substitute in the formula above  and solve for P

\$1,000=P(1+\frac{0.08}{12})^{12*1}  

P=\$1,000/(1+\frac{0.08}{12})^{12*1}=\$923.36  

5 0
4 years ago
Use slopes and y-intercepts to determine if the lines 6x+y=−1 and −2x−5y=1 are parallel.
kobusy [5.1K]

Answer:

The two lines are not parallel.

Step-by-step explanation:

Every linear equation follows this structure:

y = mx + b

y is the y value

x is the x value

m is the gradient/slope of the line

b (or sometimes c) is the y-intercept of the line

Firstly, we have to get the y term on one side by itself.

6x + y = -1

-6x        -6x

y = -6x - 1

-2x -5y = 1

+2x         +2x

-5y = 2x + 1

Secondly, we make it so the y term is just the y value.

The first equation is already like this, so we don't need to do anything to that.

-5y = 2x + 1

÷ -5  ÷ -5

y = (2x + 1) / -5

This can be expanded and simplified to:

y = -2/5x - 1/5

Thirdly, we have to compare the slopes and y-intercepts.

y = -6x - 1

y = 2/5x - 1/5

If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.

7 0
3 years ago
Solve by factoring, help​
zubka84 [21]

Answer:

x =  - 4 \\ x =  - 7

Step-by-step explanation:

x {}^{2}  + 28 =  - 11x \\ x {}^{2}  + 11x + 28 = 0 \\ x {}^{2}  + 7x + 4x + 28 = 0 \\ x(x + 7) + 4(x + 7) = 0 \\ (x + 4)(x + 7) = 0 \\  \\ x =  - 4 \:  \:  \:  \:  \:  \:   \\ \: x =  - 7

4 0
3 years ago
Read 2 more answers
Simplify 21x² + 3x - 15x^2 + 9
frosja888 [35]
6x^2+3x+9. (combine the two X^2 then the other two don’t have pairs)
8 0
3 years ago
carla and mikela went to the county fair and saw pumpkin on scales. carlas pumpkim weighed 9 pounds.carlas pumpkin weighed 7 pou
blagie [28]

Answer:

The combined weight of the pumpkin is 25 pounds.

Step-by-step explanation:

If Carla's pumpkin weighs 9 pounds and her pumpkin weighs 7 pounds less than Mikela's pumpkin, then you would add 7 to carlas pumpkin and that would equal 16. then, you would add 16 and 9 together to get the combined weight of the pumpkin.

5 0
4 years ago
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