Michael wants to buy an efficient Smart car that according to the latest EPA standards gets 33 mpg in the city and 40 mpg on the highway. The car that Michael picked out costs $18,560. His dad agreed to purchase the car if Michael would pay it off in equal monthly payments for the next 64 months. The equation y= - 290x +18,560 represents the amount, y
(in dollars), that Michael owes his father after x months.

(a) How much does Michael owe his dad after 3 months?

(b) Determine the slope of the line and interpret its meaning in the context of this problem.

(c) Interpret the meaning of the slope in the context of this problem.


The amount Michael owes his father increases or decreases by ___ per month.

Answers

Answer 1

Answer:

17690

Step-by-step explanation:

The amount Michael owes is given by :

y = - 290x +18,560

x = number of months ; y = amount owed

Amount owed after 3 months :

Put x = 3 in the equation :

y= - 290(3) +18,560

y = - 870 + 18560

y = 17690

According to the general form of a linear equation :

y = mx + c

Where, m = slope ; c = intercept

The slope = - 290 ; Intercept = 18560

Slope is the change in y per unit change in x ; The slope means that amount owed, y decreases by 290 per month

The intercept shows that the original amount borrowed is 18560

Amount Michael owes his father decreases by 290 per month.


Related Questions

the permiter of one face of cube is 60 cm then its volume :​

Answers

Step-by-step explanation:

a cube has 6faces.

side = 60/6 = 10cm

volume = 1000cm³.

hope this helps you.

3
Evaluate the function f(x) = (x + 2)2 for the given inputs.
a. f(5)=
b. f(-3) =
c. f (x+3) =

Answers

Answer:

a. 49

b. 1

c. x^2+10x+25

Step-by-step explanation:

Symply substitute the values (5, -3, x+3) in the equation (x+2)^2

Seven less than twice a number is 43. What is the number?

Answers

Answer:

25

Step-by-step explanation:

x = the number

2x - 7 = 43

    +7      +7

-----------------

2x = 50

------------

2        2

x = 25

Pre college need help thiss

Answers

Answer:

25

-35

5

Step-by-step explanation:

yeah-ya.............. right?

What is the perimeter, in feet, of the polygon?

Answers

Step-by-step explanation:

please post the question correctly to get the answer.

22
23
The Krishna family of 5 spent $12 per person at the golf
range plus an additional $40 for equipment. How much
did they spend?
24
i

Answers

Answer:

$100

Step-by-step explanation:

12x5=60

+40= $100

Answer:

$100

Step-by-step explanation:

This is easy

12x5=60

+40=$100

Ed is 7 years older than ted. Ed is also 3/2 times teds age. How old are ed and ted

Answers

Answer: Ted is 14 years old, Ed is 21 years old

Answer: Ted is 14 years old, and Ed is

21 years old.

Explanation is in the image.

1+ root2x + 1 = root2x + 8

Answers

Answer:

14x 2 +9

Step-by-step explanation:

Identify the five-number summary of the following data se
7. 11. 21. 28, 32, 33, 37, 43

Answers

Minimum value = 12

Maximum value = 37

snumber of observations = 10 (even)

Median = Mean of middle most terms

Middle most terms = 22, 25

Median ={22+25}{2}=23.5222+25=23.5

Lim ( 3x + 4tan2x)/x
X--》0

Answers

Answer:

where are you from me

Step-by-step explanation:

:philipines

btw ty sayo

Which statements are correct interpretations of this graph?

Select each correct answer.


a.4 boxes are filled every 3 min.

b.3 boxes are filled every 4 min.

c.1.3 boxes are filled per minute.

d.0.75 boxes are filled per minute.

Answers

It’s b. 3 boxes are filled every 4 mins

the degree of the polynomial p³q²-6p²q⁵+p⁴q⁴​

Answers

Answer:5

Step-by-step explanation:

[tex]p^{3}q^{2}-6p^{2} q^{5} +p^{4} q^{4}[/tex]

So since the highest index/power is 5 the degree is 5

Hope that helps :)

PLEASE HELP ME




Question 7 of 10

Which of the following is equal to the fraction below? (5/9)⁸

A. 5⁸/9⁸

B. 5/9⁸

c. 5⁸/9

D. 8•(5/9)

SUBMIT

Answers

Answer:

A 5⁸/9⁸

Step-by-step explanation:

the bracket there shows that the power is for both the numerator and denominator so A is the correct answer

A-B equals, if A =5x^2-4x-11 and B=-x^2+3x-5

Answers

Answer:

A-B = 6x^2-7x-6

Step-by-step explanation:

A = 5x^2-4x-11

B = x^2+3x-5

A-B = (5x^2-4x-11) - (-x^2+3x-5) = 5x^2-4x-11+x^2-3x+5 = 6x^2-7x-6

Pls help me I’ll brainlest ASAP

Answers

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

What is 7823× 10 to the 3 power?

Answers

Answer:

7823000

Step-by-step explanation:

Answer:

0 is the answer

7893 x 10 equal to 789300

Which graph corresponds with the inequality x< 10 ?

Answers

Answer:

C

Step-by-step explanation:

Need it now ‼️‼️‼️‼️will give brain list to who ever answers first

Answers

Answer:17/18

Step-by-step no explation

What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?

Answers

A rumba 700$ explanation because I said so so yeha

Please help me :) 25 points

Answers

Answer:

D (bottom right)

Step-by-step explanation:

Using the vertical line test, only D passes.

Hope that helps

I WILL GIVE BRAINLEST PLAESE HURRY I HAVE 10 MIN
Launch Problem


Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.


If Melanie ran once a day, how many days did she run?

Answers

Wait this might be a trick. If Melanie ran ONCE A DAY how many days did she run. She trained for the week. 7 days in a week. There is a good chance I am wrong but I think 7 days.

[35 - (8 + 2)x 3 ] what is the answer

Answers

Answer:

5

Step-by-step explanation:

[35 - (8 + 2)x 3]

[35 - (10)x 3]

[35 - 30]

[5]

solve each inequality and graph its solution

Answers

Answer:

Step-by-step explanation:

1) 11v > -66

divide by 11

V > -6

all of them are done like this

What is the least common denominator of this equation

Answers

Answer:

LCD = 30

Step-by-step explanation:

[tex]\frac{5}{6}[/tex] x - [tex]\frac{1}{10}[/tex] x = [tex]\frac{2}{15}[/tex]

Multiply through by 30 ( the LCM of 6, 10, 15 ) to clear the fractions

25x - 3x = 4

22x = 4 ( divide both sides by 22 )

x = [tex]\frac{4}{22}[/tex] = [tex]\frac{2}{11}[/tex]

Answer:

5

Step-by-step explanation:

[tex] \frac{5}{6} x - \frac{1}{10} x = \frac{2}{15} \\ \frac{50x - 6x}{60} = \frac{2}{15} (criss \: cross) \\ \frac{44x}{60} = \frac{2}{15 } \\ \frac{11x}{15} = \frac{2}{15} (simplify) \\ 165x = 30(criss \: cross) \\ x = \frac{30}{165} = \frac{6}{33} = \frac{2}{11} \\ x = \frac{2}{11} [/tex]

Helppppppppppppp helppppppppppppp

Answers

Answer: 2

Step-by-step explanation:

Three segments are chosen at random from six segments having lengths of 2, 3, 5, 6, 7 and 10 units. What is the probability that the three segments chosen could form a triangle? Express your answer as a common fraction

Answers

Using the probability concept, it is found that there is a [tex]\frac{7}{20}[/tex] probability that the three segments chosen could form a triangle.

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, the order in which the sides of the segments are chosen is not important, hence, the combination formula is used to find the number of total outcomes.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Total outcomes:

3 segments from a set of 6 lengths, hence:

[tex]C_{6,3} = \frac{6!}{3!3!} = 20[/tex]

Desired outcomes:

Segments can make a triangle if the sum of the lengths of the smaller segments is greater than the length of the larger segment.Hence, the possible options are: (2,5,6), (3,5,6), (3,5,7), (5,6,7), (5,6,10), (5,7,10), (6,7,10).There are 7 desired outcome, hence [tex]D = 7[/tex]

Then:

[tex]p = \frac{D}{T} = \frac{7}{20}[/tex]

[tex]\frac{7}{20}[/tex] probability that the three segments chosen could form a triangle.

To learn more about the probability concept, you can take a look at https://brainly.com/question/24437717

Question
Round to the nearest ten: 1,078

Answers

Answer:

7 = 7 * 10 = 70

Step-by-step explanation:

Answer:

1080

Step-by-step explanation:

How to Calculate Rounding to the Nearest Tens Whole Number?

If the ones digit (first number after decimal point) of the number is greater than or equal to 5 we add 1 to tens of number, If the ones digit of the number is less than 5 we change ones digit to 0.

Example:

1026The ones number is 66 is greater than 5, so we add 1 to tens.Result = 1030

[tex] \: [/tex]

14. A triangle has vertices at A(4,2), B(-4,-2), and
C(2, 4). If the triangle is dilated with respect to the
origin using a scale factor of 172, what will the
coordinates for the new vertices be?
A A' (2.1). B' (-2,-1), and C (1.-2)
B. A (8.4), B (-8,-4). and C (4. - 8)
C. A' (1,2), B (-1,-2), and C (-2. - 1)
D. A (-2,-1), B' (-2,-1), and C° (-1,2)

Answers

Answer:

A

Step-by-step explanation:

Each coordinate of the triangle will have to dilate by 1/2 in order for the triangle to be fully dilated. Let's check each option to see which one has the correctly dilated points.

First, we'll look at A. A(4, 2) goes to A'(2, 1)... which is looking good so far! Half of 4 is 2, and half of 2 is 1, so the right dilation was applied. Next, let's check out B. B(-4, -2) goes to B'(-2, -1), which is still looking okay. Half of -4 is -2, and half of -2 is -1. Finally, we'll check the point C. If this one is correctly dilated, option A is the right option. C(2, -4) goes to C'(1, -2), and we can now be sure that option A is correct. Half of 2 is 1, and half of -4 is -2.

So, option A is the one to select. Hopefully that's helpful! :)

Ezra has $10 to spend on a taxi ride. The taxi company charges a flat rate of $4, plus $1.50 per mile. What is the maximum amount of miles Ezra can afford to travel in this taxi?

PLS ANSWER ASAP I WILL GIVE BRAINLIEST AND WILL GIVE 22 POINTS!!!!

Answers

The maximum amount of miles Ezra can afford is 6 miles

do my teeth look straight?
answer asap

Answers

Answer:

yeah your teeth is good and strong too

yes they look very straight
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