Mark is buying a car for $5,750. He is able to make a down payment of $1,500 and will be making monthly payments of $250. Write an explicit rule and use the rule to find out how many months it will take Mark to pay off his car.

Answers

Answer 1

Answer:

5750 = 1500 + 250x

17 months

Step-by-step explanation:

Let x represent the number of months it would take to pay for the car

the total cost of the car is a function of the down payment and the monthly payments

$5750 = $1500 + 250x

to solve for x, collect like terms

5750 - 1500 = 250x

4250 = 250x

Divide both sides by 250 to find x

x = 17 months


Related Questions

What is the inverse operation do use to solve for t?
t - 19=2

Answers

We use addition, or rather the addition property of equality.

t-19+19=2+19

t=21

:D

Step-by-step explanation:

Addition is the inverse operation.

inverses:

addition/subtraction

multiplication/ division

If you need to solve for t:

t-19=2

add 19 to both sides to isolate the variable (t)

t=21

What is the slope in the picture??

Answers

Positive because it is going up an incline

Use place value . Multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.

Answers

Answer:

The answer is "7.036".

Step-by-step explanation:

Throughout the question by Increasing the number of standard deviations by 100 if you compose its issue as a fracture. In each cycle these were multiplied by 100, all numbers were certain ones. [tex]\frac{436.8}{62.08}[/tex] was its sum of [tex]\frac{43,680}{6,208}[/tex].

Following are the calculation to this question:

[tex]= \frac{436.8 \times 100}{62.08 \times 100}\\\\ = \frac{43680}{6208}\\\\=7.036[/tex]

(3,4)(2,-6) in slope intercept form

Answers

Answer:

y=10x-26

Step-by-step explanation:

1.find the slope

m=y2-y1/x2-x1

m=-6-4/2-3

m=-10/-1

m=10

2.y-y1=m(x-x1)

  y-4=10(x-3)

  y-4=10x-30

  y=10x-30+4

  y=10x-26

The coordinates for three points of a rectangle are (2, 6) (2, 9) and (8, 6). What is the coordinate for the fourth point in the rectangle? The coordinates for the fourth point in the rectangle is

Answers

Answer:

(8,9)

Step-by-step explanation:

Given

[tex]A = (2,6)[/tex]

[tex]B = (2,9)[/tex]

[tex]C = (8,6)[/tex]

Required

Determine the 4th point

The coordinate point of a horizontal or a vertical rectangle is given as:

(x1,y1), (x2,y2), (x3,y3), (x4,y4)

Where:

[tex]x_1 = x_2[/tex]        [tex]x_3 = x_4[/tex]         [tex]y_1 = y_3[/tex]        [tex]y_2 = y_4[/tex]

So, we have:

[tex]A = (2,6)[/tex] --- [tex](x_1.y_1)[/tex]

[tex]B = (2,9)[/tex] ---- [tex](x_2.y_2)[/tex]

[tex]C = (8,6)[/tex] ---- [tex](x_3,y_3)[/tex]

Using the above equations:

[tex]x_3 = x_4[/tex][tex]=8[/tex]        

[tex]y_2 = y_4[/tex] [tex]= 9[/tex]

Hence, the coordinate of the 4th point is:

[tex](x_4,y_4) = (8,9)[/tex]

A commercial greenhouse is constructed
in the shape of a prism, as shown.
12 m
T 0.6 m
1.8 m
0.9 m
1.8 m 1.8 m
0.6 m
0.6 m
3
V =
E
[3]
Work out the
volume of the
greenhouse.
(nearest m3)
Mark it

Answers

9514 1404 393

Answer:

  155.52 m³

Step-by-step explanation:

The volume will be the product of the end area and the length of the greenhouse.

The end area consists of 4 triangles and 6 rectangles. We can do a little manipulation of the shapes to simplify the area calculation a bit.

We can divide half of the greenhouse face along its vertical lines to make two trapezoids. Their "bases" will be the lengths of the vertical lines, and their heights will be the dimensions 1.8 m and 0.6 m. Since there are two of each, we can find the end area to be ...

  A = 2(1/2)(b1 +b2)(h1) +2(1/2)(b2 +b3)(h2)

  A = (3.3 +2.7)(1.8) +(2.7 +0.9)(0.6) = 10.8 +2.16 = 12.96 . . . square meters

__

The volume is then ...

  V = Bh

  V = (12.96 m²)(12 m) = 155.52 m³ . . . . greenhouse volume

Would a bottle of chocolate milk (for one person) measured with milliliters or liters

Answers

Answer:

the answer would be Milliters

The answer is milliliters

x - (2x + 1) = 8 - (3x + 3)

Ayuda porfa

Answers

Answer:

x = 3

Step-by-step explanation:

cambia los signos : x - 2x-1=8-3x-3

like terms : -x-1=5-3x

variable: -x+3x=5+1 --> 2x=6

dividir: x=3

Choose True or False A. There is 0.15 centimeter in 15 meters. B. Eight pounds is equal to 128 ounces. C. There are 108 inches in 9 yards. D. 16 kilometers is equal to 16,000 meters.​

Answers

Answer:

B

Step-by-step explanation:

Eight pounds are equal to 128 ounces.

A) False

B) True

C) False

D) True

What is the slope of the line passing through the following
points?
(4,8) and (-3,0)

Answers

Answer:

Hi! The answer to your question is [tex]\frac{8}{7}[/tex]

Step-by-step explanation:

Use the slope formula to find the slope m.

Slope = 8/7

Hope it helps! divide 8 by 7 if you need it in decimal form :)

Five busses are needed to transport 300 students. How many students can 7 busses transport?

Answers

Answer:

420 students

Step-by-step explanation: I first did 300/5 which got me 60, meaning that one bus could transport 60 students. Then you do 60*7 (60 is how many students on each bus, and 7 is how many buses there are) and get 420 students on 7 buses.

The answer is................................420!! 300/5=60x7=420

Need ASAP!

six less than twice a number is half the number plus twelve

Answers

i’m sorry but i don’t know what ur saying

Need help pls help me

Answers

It is 113 Bc you take 180-67

Answer:

See below, please!

Step-by-step explanation:

We know that 6z-31+something is going to be equal to 180 degrees, because it is supplementary. But what is that something? We see 67 degrees. Do you think this is a corresponding angle to the something that we need to find? Yes, it is! So we know that 6z-31+67 is equal to 180. So, z is 24. Now, since we know the value of the something (67 degrees because of corresponding angles) we can find yet another pair of supplementary angles. 67+x=180! Kind of neat, huh? So, x is equal to 113.

Hope this helped!

Circle D is shown. Line segments G D, F D, and E D are radii. Point H is on the other side of the circle. Angle G D F is 83 degrees and angle F D E is 66 degrees. What is the measure of minor arc ? 17° 75° 149° 211°

Answers

Answer:

149

Step-by-step explanation:

JUST TOOK TEST

Answer:

149

Step-by-step explanation:

When Shawn cleaned his room he found that the ratio of clean clothes to dirty clothes was 3 to 5 if 46 articles of clothing were discovered how many were clean

Answers

Answer:

17.25

Step-by-step explanation:

Ratio of clean clothes to dirty clothes = 3 : 5

Clean clothes = 3

Dirty clothes = 5

Total ratio = 3 + 5 = 8

Total clothing article = 46

how many were clean

Number of clean clothes = ratio of clean clothes / total ratio × total clothing article

= 3/8 × 46

= 0.375 × 46

= 17.25

What is the value of x?

Answers

Answer:

x=23

Step-by-step explanation:

2x+3=49

2x=49-3

2x=46

x=23

Circle B with tangent AD and tangent DC.
Arc AC has a measure of 85".
What is the relationship between m ABC and mZADC?

Answers

Answer:

D

Step-by-step explanation:

=90

Answer:

D

Step-by-step explanation:

Evaluate the following expression if x=3: (1/2)^x

Answers

Answer:

[tex] \frac{1}{8} [/tex]

Step-by-step explanation:

[tex] \bigg( \frac{1}{2} \bigg)^{x} \\ \\ (plug \: x = 3) \\ \\ = \bigg( \frac{1}{2} \bigg)^{3} \\ \\ = \frac{1}{ {2}^{3} } \\ \\ = \frac{1}{8} [/tex]

circumference of a circular field is 197.82 yards. What is the diameter of the field? Use 3.14 for it and do not round your answer. yards X х ?​

Answers

Answer:

63 yards.

Step-by-step explanation:

The circumference of a circle is its diameter multiplied by the constant pi.[tex]C=\pi d[/tex]. We are told to use [tex]\pi=3.14[/tex] and [tex]C=197.82[/tex], so we rearrange: [tex]\frac{197.82}{3.14}=d[/tex]

We find that [tex]d=63[/tex].

An engineering student is studying the effects of cryogenic treatments on a particular material. The treatment involves cooling the material with specific applications of liquid nitrogen.

Answers

Answer:

The answer is "choice C"

Step-by-step explanation:

Please find the complete question in the attached file.

This is because the temperature in grades Celsius, y, of material could be represented by the previous diagram, in which x is the period, in hours.

It is evident from the study that, the y-intercept is 40 degrees Celsius and thus the temperature difference is 40.

That edge of the top paraboloid is (15-200) so at most -200 ° C at 15 hours the temperature of the material. During 30 hours, the material returns to its initial temperature as the temperature at x = 30 is 40 °C.

Help plz if anybody know the answer

Answers

Answer: x^2+29x+39

You would first have to set up an equation, which would be ((2x+9)⋅(x+6))-((x-5)⋅(x-3)) to find the area of both rectangles.

Then you can simplify it, which gives us 2x^2+21x+54-(x^2-8x+15)

Then simplify it even more which gives us 2x^2+21x+54-x^2+8x-15

Then we can get our answer: x^2+29x+39

Hope that helps :)

Please help! 20 points!

Answers

Answer:

i dont know sorry

Step-by-step explanation:

In 2000, 36 children attended a summer day camp. Attendance has increased by 12% per year since then. How many campers attended summer day camp in 2006?

Answers

Answer:

66

Step-by-step explanation:

each year it goes up by 5 more campers

Number of campers attended summer day camp in 2006 is,

⇒71

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

In 2000, 36 children attended a summer day camp. Attendance has increased by 12% per year since then.

Hence, Number of campers attended summer day camp in 2006 is,

⇒ 36 (1 + 12%)⁶

⇒ 36 (1+ 0.12)⁶

⇒ 36 (1.12)⁶

⇒ 36 × 1.97

⇒ 71

Thus,  Number of campers attended summer day camp in 2006 is, 71

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

Is y = 1⁄2(1/4)x growing or decaying

Answers

Answer:

Growth

Step-by-step explanation:

y = 1/8 x

The territory of a small town can be modeled by a rectangle with an area of 45 square miles. If the town has a population of 14,850, then what is its population density?

Answers

Answer:

330 people per square mile

Step-by-step explanation:

Here, we want to find the population density of the town

To find this, we have to divide the population by the area

That will be ;

14,850/ 45 = =330 people per square mile

He paid $175 for electric, $600 for his lease, $2,025 for supplies in the month of February. He sold 77 shoes for $80 per shoe in February. What is Michael's profit for February?

Answers

Answer:

3360

Step-by-step explanation:

(77x80)-(175+600+2025)

Solve for r:
r over 15 = 4.3

1. r = 3.48
2. r = 64.5
3. r = 0.286

Answers

2. r = 64.4
hope it helps

Please help me...will mark brainiest

Answers

Answer:

x²+24x+144

Step-by-step explanation:

x*x = x²

12 x 12 = 144

2(x*12) = 24x

hence the answer is x²+24x+144

PLS ANS THIS QUESTION PLS

Answers

Answer:

6x^2 + 2xy -9y^2 +3y +10

Step-by-step explanation:

yes

Select the factors for the quadratic expression 10m2 + 89m − 9.

a
(5m + 9)(2m - 1)

b
(10m + 9)(m + 10)

c
(m - 9)(10m + 89)

d
(m + 9)(10m − 1)

Answers

the correct answer is d.
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