Mathematics High School

Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years? f(x) = 12,000(0. 12)x, with a horizontal asymptote of y = 0 f(x) = 12,000(1. 12)x, with a vertical asymptote of x = 0 f(x) = 12,000(0. 88)x, with a horizontal asymptote of y = 0 f(x) = (12,000 0. 88)x, with a vertical asymptote of x = 0.

Answers

Answer 1

The graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.

The given parameters are:

[tex]a = 12000[/tex] --- the initial value of the car

[tex]r = 12\%[/tex] -- the loss per year

The estimation is an illustration of an exponential function.

An exponential function is represented as:

[tex]y = a(1 -r)^x[/tex]

Rewrite as a function

[tex]f(x) = a(1 -r)^x[/tex]

Substitute values for (a) and (r)

[tex]f(x) = 12000(1 -12\%)^x[/tex]

Express 12% as decimal

[tex]f(x) = 12000(1 -0.12)^x[/tex]

Subtract 0.12 from 1

[tex]f(x) = 12000(0.88)^x[/tex]

The graph of f(x) has a horizontal asymptote at x = 0.

Hence, the graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.

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25

Step-by-step explanation:

Answer:

300/375=0,8

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Answer:

D. 60 Ft

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Is 24:6 equivalent to 12:3

Answers

Answer:

Yes

Step-by-step explanation:

Yes! If you multiply both of the values in the ratio 12:3 by 2, you get the ratio 24:6. A ratio is equivalent to another if one can be multiplied by or divided by the same number to result in the other ratio.

For example, 1:2 and 3:6 are equivalent ratios since 1:2 can be multiplied by 3 to result in 3:6.

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Step-by-step explanation:

Determine the intercepts of the line. Do not round your answers. ​

Answers

Answer:

-14/9, -14

Step-by-step explanation:

y = -9x - 14

For x intercept, replace y with 0 and solve.

0 = -9x - 14

14 = -9x

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For y intercept, replace x with 0 and solve.

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At TGI Fridankay's you order a drink for $2.99, an appetizer for $9.99, the cajun chicken pasta for $11.50, and a desert for $7.99. You had amemeazing service and know that you are going to tip your waiter 20%! The waiter also gave you a 10% coupon to use. There is also a 7% sales tax on the bill. What is your total bill after the tip, discount, and tax?

Answers

Answer:

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Step-by-step explanation:

2.99+9.99+11.50+7.99/20/10/7 = $24.48

What is the value of x?



74
138
69
148

Answers

Answer:

69

Step-by-step explanation:

All angles add up to 180 in a triangle.

Hope that helps

Assuming the triangle is isoceles as:
- The triangle has two sides that are the same

Angles in a triangle add up to 180.

The two angles at the base of an isoceles triangle are equal, therefore:

180 - 42 = 138 (Sum of the angles at the base)

138 / 2 = 69 (One of the equal angles)

So x = 69.

Please y'all I need help

Answers

Answer:

c

Step-by-step explanation:

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Answers

Answer:

-$33

Step-by-step explanation:

KAREN now ows money to the bank

frrrrrrrrreee points​

Answers

Thanks! :)

Hope you’re having a wonderful day!!
Thank youuuuuuuuuuuuuuu

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Please help!!

Answers

Answer:

p = (-15)/14

Step-by-step explanation:

Solve for p:

5 + 1/28 = p/2 + 4/7 + 5

Put 5 + 1/28 over the common denominator 28. 5 + 1/28 = (28×5)/28 + 1/28:

((28×5)/28 + 1/28) = p/2 + 4/7 + 5

28×5 = 140:

140/28 + 1/28 = p/2 + 4/7 + 5

140/28 + 1/28 = (140 + 1)/28:

((140 + 1)/28) = p/2 + 4/7 + 5

140 + 1 = 141:

141/28 = p/2 + 4/7 + 5

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141/28 = ((7 p)/14 + 8/14 + 70/14)

(7 p)/14 + 8/14 + 70/14 = (7 p + 8 + 70)/14:

141/28 = ((7 p + 8 + 70)/14)

Grouping like terms, 7 p + 8 + 70 = 7 p + (70 + 8):

141/28 = (7 p + (70 + 8))/14

70 + 8 = 78:

141/28 = (7 p + 78)/14

141/28 = (7 p + 78)/14 is equivalent to (7 p + 78)/14 = 141/28:

(7 p + 78)/14 = 141/28

Multiply both sides of (7 p + 78)/14 = 141/28 by 14:

(14 (7 p + 78))/14 = (14×141)/28

(14 (7 p + 78))/14 = 14/14×(7 p + 78) = 7 p + 78:

(7 p + 78) = (14×141)/28

14/28 = 14/(14×2) = 1/2:

7 p + 78 = 141/2

Subtract 78 from both sides:

7 p + (78 - 78) = 141/2 - 78

78 - 78 = 0:

7 p = 141/2 - 78

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7 p = (141/2 - (78×2)/2)

2 (-78) = -156:

7 p = 141/2 + (-156)/2

141/2 - 156/2 = (141 - 156)/2:

7 p = ((141 - 156)/2)

141 - 156 = -15:

7 p = (-15)/2

Divide both sides by 7:

p = ((-15)/7)/2

2×7 = 14:

Answer: p = (-15)/14

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Answers

Try B, but note I’m not sure if right.

NO LINK HELP ASAP

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Sebastian compares toy car prices at three different store so he can get the best deal for his little brother's Christmas gift.

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Answers

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WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!

ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Hope this helps !!

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Answers

Answer:

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Step-by-step explanation:

sorry for late anwser

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