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MatroZZZ [7]
3 years ago
14

I buy a car for 24,000 dollars. My car depreciates 11% per year. How much will it cost after 5 years?

Mathematics
1 answer:
andrey2020 [161]3 years ago
7 0
24000x0.11x5

then solve.
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Find the distance from point A(−9,−3) to the line y = x−6. Round your answer to the nearest tenth.
Vladimir79 [104]

The distance from point A(−9,−3) to the line y = x−6 is 8.5 units

<u>What is slope ?</u>

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

step 1

Find the slope of the perpendicular line to the given line

y=x-6 ---> given line

The slope is m=1

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m1*m2 = -1

we have

m1=1

substitute

(1)*m2 = -1

so

m2 = -1

step 2

Find the equation of the perpendicular line to the given line

The equation in point slope form is

y-y1=m(x-x1)

we have

m=-1

(x1,y1)=(−9,−3)

substitute

y+3=-1(x+9)--> equation in point slope form

y+3= -x-9

y= -x-12---> equation in slope intercept form

step 3

Find the intersection point between the given line and the perpendicular line to the given line

we have the system of equations

y = x−6.

y= -x-12

Solve the system by graphing

The intersection point is (-3,-9)

see the attached figure

step 4

we know that

The distance between the point A and the point (-3,-9) is the same that the distance between point A and the line y=x-6

the formula to calculate the distance between two points is equal to

d=√[(y2-y1)² + (x2-x1)²]

substitute the values

d=√[(-9+3)² + (-3+9)²]

d= √72 units

simplify

d= 6√2 = 8.5 units

To learn more about the slope from the given link

brainly.com/question/16949303

#SPJ1

8 0
10 months ago
Help me pls thankyouuuuuuu
torisob [31]

Answer: 4\sqrt[3]{4}

Step-by-step explanation:

8 0
2 years ago
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Mia is finally able to upgrade her cellphone. The one she wants costs $220 but she is able to get it for 60% off. She has a coup
Kay [80]

The answer would be A) $79.20

(220*.4).9 as 60 percent off means that the product is only 40 percent of its original value, furthermore, we multiply the entire thing by .9


8 0
3 years ago
50a3b-8ab factor the expression completely. part a: factor out the gcf (5 points) part b: factor the difference of perfect squar
dem82 [27]

Answer:

Step-by-step explanation:

50a³b = 2⋅5²a³b

8ab = 2³ab

GCF = 2ab

50a³b - 8ab = 2ab(5²a² - 2²)

5²a² - 2² = (5a - 2)(5a + 2)

8 0
2 years ago
List all number sets that apply to each number
kolbaska11 [484]

Answer:

45

2

03

16

26

224

Step-by-step explanation:

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