Melinda takes out a loan to purchase a car. The balance on her loan after x months is represented by the equation y = 10,000 – 250x and the value of the car after x months is represented by y = 8,000 – 50x. Which statement describes when Melinda’s loan will be equal to the value of the car?

After 10 months, the loan and value of the car will both be equal to $7,500.
After 12 months, the loan and value of the car will both be equal to $7,000.
After 14 months, the loan and value of the car will both be equal to $6,500.
After 16 months, the loan and value of the car will both be equal to $6,000.

Answers

Answer 1

Answer:

After 10 months, the loan and value of the car will both be equal to $7,500.

Step-by-step explanation:

Value of the loan after x months:

[tex]y_l = 10000 - 250x[/tex]

Value of the car after x months:

[tex]y_c = 8000 - 50x[/tex]

Which statement describes when Melinda’s loan will be equal to the value of the car?

They are equal when:

[tex]y_l = y_c[/tex]

So

[tex]10000 - 250x = 8000 - 50x[/tex]

[tex]200x = 2000[/tex]

[tex]x = \frac{2000}{200}[/tex]

[tex]x = 10[/tex]

Equal after 10 months:

Value of [tex]y(10) = 8000 - 50(10) = 7500[/tex]

Thus, the correct option is:

After 10 months, the loan and value of the car will both be equal to $7,500.


Related Questions

At the Olympic games, many events have several rounds of competition. One of these events is the men's 100100100-meter backstroke. The upper dot plot shows the times (in seconds) of the top 888 finishers in the semifinal round at the 201220122012 Olympics. The lower dot plot shows the times of the same 888 swimmers in the final round. A dot plot is divided into 2 parts labeled, Semifinal Round and Final Round. The horizontal axis is labeled, Time, in seconds, from 52 to 54, in increments of 0.10 second. The portion of the dot plot dedicated to Final Round has dots above the following points; 52.2, 52.3, 52.8, 53.1, 53.2, 53.3, 53.5, and 53.8. The portion of the dot plot dedicated to Semifinal Round has dots above the following points; 52.7, 53, 53.3, 53.3, 53.5, 53.5, 53.5, and 53.7. Which pieces of information can be gathered from these dot plots? (Remember that lower swim times are faster.)

Answers

Answer: None of the above.

Step-by-step explanation:

I got it right on khan. I’ll explain a little though. Semifinals median=47.05. Finals median=53.05.  Therefore A is not and option and B is DEFINITLEY not an option. Sorry I’m not good at explaining

Answer:

None of the above

Step-by-step explanation:

Got it right on test

An object travels along the x-axis so that its position after t seconds is given by x(t) = 2t2 – 5t – 18 for all times t such that t ≥ 0.

Which inequality describes all times t for which the object is traveling toward the right?

Answers

the function is given, and it's value is where the object is ("how far to the right").

so as long as it rises (going more right), this will be apply.

in the screenshot I graphed the function. of course t is graphed as x and "along the x-axis" is graphed as y, but the pattern is the same anyways.

for the first 1.25 seconds the object goes to the left, and after that always to the right.

since we look at t to calculate x, t effectively takes the role of the important variable that is normally given to x. the calculation pattern are just the same. so let's find the lowest point of this function by calculating it out.

x(t) = 2t² – 5t – 18

x'(t) = 4t -5

x'(t) = 0

0 = 4t -5

5 = 4t

1.25 = t

plugging it into the second derivative

x''(t) = 4

x''(1.25) = 4

it's positive, so at t=1.25 there is a low point

(of course the second derivative is constant anyways.)

the object is traveling toward the right

the object is traveling toward the rightfor t > 1.25

The object is moving to the right, for t > 1.25, the object is moving in a rightward direction.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

An object travels along the x-axis so that its position after t seconds is given by:

x(t) = 2t² – 5t – 18

x'(t) = 4t - 5

x'(t) = 0

4t -5 = 0

t = 5/4 = 1.25 seconds

x''(t) = 4

x''(1.25) = 4

x''(1.25) > 0

At t = 1.25 the object travels at a low point.

Thus, the object is moving to the right, for t > 1.25, the object is moving in a rightward direction.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ2

Can someone help me with this plz

Answers

Answer:

170.7

Step-by-step explanation:

We are aware that the base is a square, with side lengths 8cm, and we are given that the height is 8 cm. Since the volume of a square based pyramid is 1/3 x base area x height, we receive 1.3 x 64 x 8 which is 512/3 which is in turn 170.666 recurring. However, since this question asks you to round the the nearest tenth, you get 170.7

Answer:

171

Step by step explanation:

Volume = lwh/3
= 8 x 8 x 8
≈171 km^3

In an episode of the old school version of the game show Family Feud, 43 out of a random sample of 100 people said they pick their noses at red lights. Find a 95% confidence interval of the proportion of all people who pick their noses at red lights. Be sure to interpret your answer

Answers

Answer:

[tex]P_{95\%}=(0.333,0.527)[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=100[/tex]

Selected sample [tex]x=43[/tex]

Confidence Interval [tex]CI=95\%[/tex]

Significance Level [tex]\alpha=0.05[/tex]

Probability of picking nose is

[tex]P=\frac{x}{n}[/tex]

[tex]P=\frac{43}{100}[/tex]

[tex]P=0.43[/tex]

Generally the equation for standard error is mathematically given by

[tex]S.E=\sqrt{p*(1-p)}{n}[/tex]

[tex]S.E=\sqrt{0.4*(1-0.57)}{100}[/tex]

[tex]S.E=0.0495[/tex]

Therefore

The proportions 95\% interval is

[tex]P_{95\%}=[P-1.96x SE(P),P+1.96*SE(P)][/tex]

[tex]P_{95\%}=(0.43-1.96*0.0495,0.43+1.96*0.045)[/tex]

[tex]P_{95\%}=(0.333,0.527)[/tex]

If JKL = TUV which of the following can you not conclude as being true

Answers

Answer:

Step-by-step explanation:

D

Answer:

J ≅ V

Step-by-step explanation: I took the same test (:

find the value of x²-6x+13 when x=3+2i​

Answers

Answer:

18

Step-by-step explanation:

x squared -6 +13

5 squared-6×3+2+13

25-20+13

5+13

=18

find the LCM of 210, 280, 360 by prime factorisation​

Answers

Answer:

Step-by-step explanation:

210=2x3x5x7

280=2x2x2x5x7

360=2x2x2x3x3x5

Answer:

210= 2×3×5×7

280=2×2×2×5×7

360=2×2×2×3×3×5

common factors=2×2×2×3×5×7=840

uncommon factors=3

L.C.M=Common factors× uncommon factors

L.C.M=840×3

L.C.M=2520

Step-by-step explanation:

i hope it will be helpful

plzz mark as brainliest

I WILL GIVE BRAINLEST FAST PLEASE ANSWER THE QUESTION IN THE IMAGE

Answers

Answer:

Cannot be determined

Step-by-step explanation:

We only know one angle and we could only compare one set of sides.

We do not have enough information to determine if the triangles are similar

Answer: D. Cannot be determined

Having just turned 16 years old, your friend has their mind set on buying a new car by the time they turn 20 years old. They can afford to save $440 per month. They place the money into an annuity that pays 5.5% per year, compounded monthly. How much will they have to spend on a car after 4 years?

Answers

having just turned 16 years old, your friend has their mind set on buying a new car by the time they turn 20 years old

Mr. Jerome has an outstanding balance of $12000 on his credit card. The interest rate on the card is 12% he intends to pay off
the card in 2 years. Find the APR on the card.

Answers

the answer is 56 cards
because you add both sides by the same number
The person above me is correct

Pls if anyone knows the answer with work included/steps that will be greatly appreciated :)

Answers

Answer:

1. Option D. 15x²

2. Option C. 3

Step-by-step explanation:

1. Determination of the area of one section.

Length (L) of one section = 25x/5 = 5x

Width (W) of one section = 3x

Area (A) of one section =?

The area of one section can be obtained as follow:

Area (A) = Length (L) × Width (W)

A = L × W

A = 5x * 3x

A = 15x²

Thus, the area of one section is 15x²

2. Determination of the expressions that are equivalent to (p²)³.

We'll begin by simplifying (p²)³. This can be obtained as follow:

(p²)³ = p²*³

(p²)³ = p⁶

Next we shall compare each expression given in the question above to see which will be the same as p⁶.

p × p × p × p × p × p = p¹⁺¹⁺¹⁺¹⁺¹⁺¹

p × p × p × p × p × p = p⁶

p² × p² × p² = p²⁺²⁺²

p² × p² × p² = p⁶

p² × p³ = p²⁺³

p² × p³ = p⁵

Thus,

p² × p³ ≠ p⁶

p⁵ ≠ p⁶

p⁶ = p⁶

SUMMARY

p × p × p × p × p × p = p⁶ = (p²)³

p² × p² × p² = p⁶ = (p²)³

p⁶ = (p²)³

Therefore, 3 expressions are equivalent to (p²)³. Option C gives the correct answer to the question.

which of the following is the correct graph of the solution to the inequality -18 > 5x + 2 > -48?

Answers

Answer:

good luck

.............

Answer: the third one. filled circle for 4 ,5,6,7,8,9, open circle 10

Step-by-step explanation:

what is the area of a circle if the radius is 9 m​

Answers

Answer:

(approximately) 254.34 meters

Step-by-step explanation:

Concepts:

Area is the amount of space a 2D shape has.The area of a circle is the amount of space it has. The formula to find the area is πr^2, where r is the radius and  π is often represented as 3.14 or 22/7. The radius of a circle is a straight line from the center to the circumference of it. The radius is 1/2 of the diameter, meaning the diameter of a circle is a straight line passing from one side to the other side of the circle.

Solving:

Let's use the formula for area of a circle to solve.

1. Formula for Area of a Circle

πr^2

2. Exchange π for 3.14

3.14 · r^2

3. Plug in the value of r (radius of circle) as 9

3.14 · 9^2

4. Simplify

3.14 · 81254.34

Therefore, the area of a circle when the radius is 9 meters is approximately 254.34 meters.

Write a number in which the value of the 3 is ten times as great as the value of 3 in 135,864

Answers

Answer:

Step-by-step explanation:

the 3 in 135,864 is 30,000

if you mutiply that by 10 you get 300,000

you just need to write any number with a 3 in the hundred thousands place

I need help guys thanks so much

Answers

Answer:

A.  243

Step-by-step explanation:

[tex] 81^\frac{5}{4} = (3^4)^\frac{5}{4} = 3^{4 \times \frac{5}{4}} = 3^5 = 243 [/tex]

Answer: A

I just simplified it to 3^5, and that is also 243.

Juan had 5 candy bars for himself and 4 friends to share with after lunch. Then three other friends joined them. Juan divided the 5 candy bars equally with all of his friends. How much did each person get?

Answers

Answer:

5/8

Step-by-step explanation:

There are 5 people when 3 more join for a total of 8 people

5 candy bars divided by 8 people

Take the candy bars and divide by the people

5/8

An electrician charges a fee of $40 plus $25 per hour. Let y be the cost in dollars of using the electrician for x hours. Choose the correct equation.

y = 40x - 25


y = 25x + 40


y = 25x - 40


y = 40x + 25

Answers

Answer:

y = 25x + 40

Step-by-step explanation:

The electrician charges $25 per hour.

The number of hours is x.

Therefore after x hours the electrician will charge $25x. (multiply the charge by the number of hours $25 * x)

Therefore fee(y) charged by the electrician = $40 + $25x

Hence y = 25x + 40

Average person who drives car in United States drives 15, 350 miles which is 50% more than an average driver in Europe. We assume that the number of yearly miles by U.S. drivers is approximately a normal random variable of standard deviation of 4200 miles. Calculate percent of drivers who traveled between 10,000 to 12,000 miles in a year.

Answers

Answer:

7,675

that is your answer

Write the sum using summation notation, assuming the suggested pattern continues.

100 + 121 + 144 + 169 + ... + n2 + ...

Answers

100 = 10², so the sum you're considering is the sum of squared integers starting with 10.

[tex]\displaystyle 100+121+144+168+\cdots+n^2+\cdots = \boxed{\sum_{k=10}^\infty k^2}[/tex]

An observer, who is standing 47 m from a building, measures the angle of elevation of the top of the building as 30˚. If the observer’s eye is 167 cm from the ground, what is the exact height of the building?

Answers

9514 1404 393

Answer:

  28.81 m

Step-by-step explanation:

The tangent relation can help find the height of the building above the observer's eye.

  Tan = Opposite/Adjacent

  Opposite = Adjacent·Tan

  above eye height = (47 m)(tan 30°) ≈ 27.14 m

Adding this to the eye height gives the height of the building above the ground where the observer is standing.

  27.14 m + 1.67 m = 28.81 m

The height of the building to the nearest centimeter is 28.81 meters.

4x-5y +7z= -14
9x + 2y +3z= 47
-y + x -5z = 11

Find x if A'B​

Answers

Answer:

x = 5

Step-by-step explanation:

Here we have the system of equations:

4x - 5y +7z= -14

9x + 2y +3z= 47

-y + x -5z = 11

We want to find the value of x.

To do it, we need to isolate one variable (not x) in one of the 3 equations. We could isolate y in the third equation to get:

x - 5z - 11  = y

now we can replace this in the other two equations to get:

4x - 5*( x - 5z - 11 ) +7z = -14

9x + 2*(x - 5z - 11 ) + 3z = 47

notice that now we have only two variables, now we need to simplify these two equations so we can get:

-x + 32z  = -69

11x - 7z  = 69

Now we do the same thing, this time we need to isolate z in one of the two equations, let's isolate it in the second one:

7z = 11x - 69

z = (11/7)*x - (69/7)

now we can replace this in the other equation to get:

-x + 32*( (11/7)*x - (69/7) ) = -69

now we have an equation for x, that we can solve to find its value:

-x + 32*(11/7)*x - 32*(69/7) = -69

x*(32*(11/7) - 1) = -69 + 32*(69/7)

x = [-69 + 32*(69/7)]/(32*(11/7) - 1) = 5

The value of x is 5.

Please helpppppp i need help…
///..

ASAP!!!!
!!!,,!!!!!!

Answers

Answer:

True

Step-by-step explanation:

64 - x^2

Rewriting as

8^2 - x^2

(8-x)(8+x)

This is the difference of squares

Solve the inequality (help pls)

Answers

Answer:

B

Step-by-step explanation:

(-2/3x)-10<1/3

(-2/3x)<1/3+10

(-2/3x)<31/3

x>-31/2, -31/2=-15 (1/2), x> - 15 (1/2)

Sam is five years old his brother Tom is three times as old as Sam when sam is 20 how old will Tom be?

Answers

Answer:

30

Step-by-step explanation:

5 x 3 = 15

15 - 5 = 10

20 + 10 = 30

Which percent is eguivalent to 2.5?

1)2.5%
2)25%
3)250%
4)2,500%

Answers

Answer: 250%

since, 100% = 100/100

250% = 250/100

Step-by-step explanation:

I believe the answer is 250%, percent is usually out of 100 so 2.5•100=250%

A triangle is rotated 90° about the origin. Which rule describes the transformation?
(x, y) (-x, -y)
O(x,y) (-y, x)
(x, y) (-), -x)
(x,y) →ly, -x)

Answers

Answer:

(x,y) -> (-y,x), second option.

Step-by-step explanation:

Rotation of 90 degrees about the origin:

The rule for a rotation of a point (x,y) 90 degrees about the origin is given by:

(x,y) -> (-y,x)

This is that the question asks, and so, this is the answer, which is the second option.

Please help me, by completing this proof!

Answers

Answer:

Step-by-step explanation:

                 Statement                                                 Reasons

1). Line PQ is an angle bisector of ∠MPN       D). Given

2). ∠MPQ ≅ ∠NPQ                                           A). Definition of angle bisector

3). m∠MPQ = m∠NPQ                                      F). Definition of congruent

                                                                               angles.

4). m∠MPQ + m∠NPQ = m∠MPN                    C). Angle addition postulate

5). m∠MPQ + m∠MPQ = m∠MPN                   G). Substitution property of

                                                                                equality

6). 2(m∠MPQ) = m∠MPN                                 B). Distributive property

7). m∠MPQ = [tex]\frac{1}{2}(m\angle MPN)[/tex]                               E). Division property of equality  

Based on the Nielsen ratings, the local Fox affiliate claims its 10:00 PM newscast reaches 31% of the viewing audience in the area. In a survey of 100 viewers, 26% indicated that they watch the late evening news on this local Fox station. What is the null hypothesis

Answers

Answer:

The null hypothesis is [tex]H_0: p = 0.31[/tex]

Step-by-step explanation:

Based on the Nielsen ratings, the local Fox affiliate claims its 10:00 PM newscast reaches 31% of the viewing audience in the area.

From the claim, we get the expected proportion, that is, the value tested at the null hypothesis. Thus, at the null hypothesis, we test if the proportion is of 31%, that is:

[tex]H_0: p = 0.31[/tex]

Meena's family took a road trip to Niagara Falls. Meena slept through
the last 49% of the trip. If the total length of the trip was 500 miles, how many miles had they travelled when Meena fell asleep?

Answers

245 miles

49/100*500 i guess it's the answer

Answer: 255 miles

Explanation:

Total length of the trip = 500 miles

Then 49% = 49/100×500

= 245 miles

Therefore she slept for 245 miles

How many miles had they travelled when meena fell asleep

= 51%

= 51/100×500

= 255 miles

Or

500 - 245

= 255 miles

Answered by Gauthmath must click thanks and mark brainliest

What is the are of the polygon below!help please!

Answers

Answer:

Area= 525

Step-by-step explanation:

14x9=126

3x7=21

14x27=378

126+21+378=525

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