A Chevrolet Sonic Hatchback costs $14,845.00. With a 15% down payment, you can have an amortized loan for 6 years at a rate of 4.5%.

A) What will the monthly payment be?

B) How much will the car cost, in total?

C) How much money will be paid in interest?

Answers

Answer 1

Using simple interest, it is found that:

a) The monthly payment will be of $222.57.

b) In total, the car will cost $18,251.9275.

c) $16,025.1775 will be paid in interest.

The amount of money accrued after t years, using simple interest, with an initial value of P and a decimal rate of r is given by:

[tex]A(t) = P(1 + rt)[/tex]

In this problem:

Total cost of $14,845.00, with a down payment of 15%, hence the initial value that will accrue interest is [tex]P = 0.85(14845) = 12618.25[/tex].Loan for 6 years, hence [tex]t = 6[/tex]Rate of 4.5%, hence [tex]r = 0.045[/tex].

Item a:

The amount of money accrued will be of:

[tex]A(6) = 12618.25[1 + 0.045(6)] = 16025.1775 [/tex]

Payment over 6 x 12 = 72 months, hence, the monthly payment will be of:

[tex]m = \frac{16025.1775}{72} = 222.57[/tex]

The monthly payment will be of $222.57.

Item b:

The total cost is composed by:

Down payment of 15%, out of the amount of $14,845.00.Interest of $16,025.1775.

Hence:

[tex]T = 0.15(14845) + 16025.1775 = 18251.9275[tex]

In total, the car will cost $18,251.9275.

Item c:

As found in item a, $16,025.1775 will be paid in interest.

A similar problem is given at https://brainly.com/question/13176347


Related Questions

solve pls brainliest

Answers

Answer:

1. 9

2. 5

Step-by-step explanation:

Answer:

A would be 9 and I am not sure about B.

Step-by-step explanation:

when a number is in | | these lines then they will always come out positive.

plsss answer questions guys


just answer number 5. plsss​

Answers

Answer:

B.{c}

Step-by-step explanation:

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

B. c

Hope it helps!

Brainliest pls!

Follow me! :)


True or False: This table describes a linear function

Answers

Answer:True

Step-by-step explanation:

There is a constant rate of change. For x, it'd be +1. For y, it'd be +3.

Vote brainliest please!

Answer:

true

Step-by-step explanation:

This is because the slope is y= 3x, you can prove that by plugging in the x values, and if they equal the y then that slope is right.

The sixth number 20210A is prime for only one digit A. What is A?

Answers

9514 1404 393

Answer:

  A = 9

Step-by-step explanation:

Beyond the first few primes, all prime numbers end in one of the odd digits, 1, 3, 7, or 9. We can reduce this list by using a couple of simple divisibility rules.

The sum of the digits is 2+0+2+1+0+A = A+5. The number will be divisible by 3 if A+5 is divisible by 3. That will be the case for A=1 and A=7.

The sum of odd digits is A+1+0 = A+1. The sum of even digits is 0+2+2 = 4. When these sums are equal, the number is divisible by 11. That will be the case for A=3.

So, we have ruled out all digits except 9. If the number is prime it must be ...

  202109

  A = 9

_____

Additional comment

To make sure the number is prime, we would need to check divisibility by all primes less than √202109 ≈ 449.

Answer: 9

the answer is 9 because if i root 202109 i get about 446 and if its decimal it prime

Does (7,5) make the inequality 16x + 16y 2 12 true?

Answers

Yep because 16y and 16y makes the inequality

Adam's school is 12 miles from his house. It takes his older brother 20 minutes to drive him school. Adam spilled his orange juice his morning, and so they left the house two minute late than usual. How much time does his brother to day to dive him to school?

Answers

Answer:

Well, if it is 20 min usual, then 22 minutes if they left 2 minutes late

Step-by-step explanation:

did you miss part of the question while typing?

The answer is 22 minutes

answer????plssssssss i will give money​

Answers

Answer:

62.3538290725

Step-by-step explanation:

Sorry That All I Could Get For You

Answer:

gimme money

Step-by-step explanation:

The expression 13x + 5 represents the number of marbles you have after purchasing 13 bags of marbles.

What does the term 13x represent?
What does 5 represent?
What does x represent

Answers

13x represents the number of marbles in all the bags purchased combined. 5 is the amount of marbles you already own. X represents the amount of marbles in the bag.

GIVING OUT BRAINLIEST

Answers

Answer:

y = 700x - 8

Step-by-step explanation:

Where is the blue point on the number line ?

Answers

Answer:

-20

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

one period is 5, so -5×4 = -20

Pre college need help

Answers

Answer:

sorry I can't answer that because I need points very3× sorry

hint: 180 *
1. Find the missing angle.
29
R
61
T

Answers

Answer:

∠ R = 90°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , that is

∠ R + ∠ S + ∠ T = 180° , substitute values

∠ R + 29° + 61° = 180°

∠ R + 90° = 180° ( subtract 90° from both sides )

∠ R = 90°

Pre college need help

Answers

Answer:

C

Step-by-step explanation:

HELP ME ASAP!!

Solve the system.
2x - 5y = -8
2x - 5y = 12
Which statement is true?
A. The solution is (1,2).
B. The system has infinitely many solutions.
O C. The system has no solution.

Answers

No answers at all! (C) 2x-5y cannot equal two things at once.

The low temperatures in December at each of three locations are shown.


Location 1: 18°F
Location 2: –5°F
Location 3: –22°F
Choose each statement that is both true and correctly justified based on this information.


(A) Because 18 < –22, it was colder, on average, at Location 3 than at Location 1.


(B) Because 18 < –22, it was warmer, on average, at Location 3 than at Location 1.


(C) Because –22 < 18, it was colder, on average, at Location 3 than at Location 1.


(D) Because –22 < 18, it was warmer, on average, at Location 3 than at Location 1.


(E) Because –22 < –5, it was warmer, on average, at Location 2 than at Location 3.

Answers

Answer:

According to me answer is option C and E

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Witch is a correct name of the angle shown?

Answers

Answer:

CBA

Step-by-step explanation:

B is the middle n angles should be btn two lines ie AB and BC. so they had a common point B hence the joining occured at B

The answer for that is

Write the logarithmic expression as a single logarithm log4(32) – log4 (4)
A. Log8(4) B. Log8(1/8). C. Log4(28). D. Log4(8)

Answers

The answer is D Log4(8)
Because as seen in my solving you are seeing that when we subtract we can divide.I gave you the final answer of your equation.
Hope I help

1.1 is the result of finding the product of 1/2 and 3 minus a number. What is the number?
A. 5 1/5
B. 2 9/20
C. 4/5
D. -19/20

Answers

Answer: i think the answer is B.

Step-by-step explanation:

D can’t be correct cause it’s a negative and there’s no negatives in the question , if you look at B 2 9/20 can go into 1/2.

Answer:

C. 4/5

Step-by-step explanation:

k12

The perimeter of a regular heptagon is 21 m. How long is each side?

5 m
2 m
3 m
4 m

Answers

Answer:

3m

Step-by-step explanation:

A heptagon has 7 sides so 21÷7=3m

Answer:

3m

Step-by-step explanation:

3m X 7 is 21m

make me brainlist.

What is the solution to x + 12 = 25?
A. x=13
B. x=12
C. x=37
D. x=24​

Answers

Answer:

A . x=13 is the solution of this question.

Answer:

x=3

Step-by-step explanation:

subtract 12 from both sides of the equation

x+12=25

x+12-12=25-12

then subtract the numbers

x=13

Can someone please help me with #1,2,3,4 and 5 using a motion detector?

The motion detector measures how far away you are from the device over 5 seconds.

For each graph,come up with a description for what the walker (s) should do (or describe what they did after you see it).​

Answers

Problem 5

Recall that speed = distance/time. A change in distance over a change in time also represents the slope of the line.

The slope of any given piece represents the walker's speed. Negative slopes mean that the walker is coming closer to the device, while positive slopes mean the walker is moving away.

For instance, a slope of m = -2 means the walker is moving at 2 mph and is moving toward the motion detector. This is just an example of course.

The graph given here starts off with a negative sloped portion. It goes downhill as we move to the right because time always progresses in this fashion (i.e. time is always increasing). So this portion represents the walker moving closer to the device at some unknown speed. We can't calculate the speed because your teacher didn't give you any numbers. So you can make up your own or just give the general sense of what's going on.

For the middle portion, the flat horizontal line means that slope = rise/run = 0/B = 0. Where B is some positive number to indicate a run. The slope being 0 tells us that the speed is 0, which in turn means the person isn't moving at all during this stretch of time.

After being motionless for some unknown amount of time, the walker then moves away from the motion detector. This is because this third portion has a positive slope now.

To recap, we have this summary of motion (or lack thereof)

The person moves closer to the motion detectorThe person is motionlessThe person moves away from the motion detector

Each section has an unknown duration and unknown speed (other than the speed of 0 mentioned). The sections are numbered to indicate the proper order in time in which they happened.

============================================================

Problem 6

It's the same idea as earlier. The person starts off walking away from the motion detector. Then at some point, they turn around and walk back toward the detector until they reach the device itself. How do we know the person reaches the device? Because of the x intercept. This is when y = 0 to indicate the distance to the device is 0 units. The x intercept is where the graph crosses the x axis.

Answer:

The person moves further away from the detectorThe person turns around and moves closer to the detector until reaching the device

Once again, we have no idea about speeds or time durations. This time a speed of 0 isn't involved, so the person is never motionless (maybe perhaps for a brief split instant, but that's about it).

============================================================

Problem 7

There are no increasing sections this time. The person never walks away from the motion device at any moment. This is due to the lack of positive sloped sections.

S/he starts at some distance away and walks closer to the device for the first section of time. Then they pause and stay motionless for a while similar to what was discussed in problem 5. Then the person resumes motion to walk to the motion detector until they reach the device. We know they reach it because of the x intercept.

Answer:

The person starts at some distance away and walks closer to the device.The person pauses for some duration.The person resumes motion toward the motion detector.

============================================================

Problem 8

This time we're dealing with curved sections, but the idea is pretty much the same. Any time we go uphill, the slope is positive (so to speak) and it represents moments the person is walking away. Any time we go downhill, the person is walking toward the item. Always move to the right because time is always increasing in this fashion.

The smooth curve motion indicates that the person's speed is changing at a more smooth rate, as compared to the sharp pointed jarring changes in speed compared to the other graphs. This is likely a more realistic graph for someone's motion. Someone is very unlikely to change speeds very quickly in such a short instant in time.

Answer:

The person walks away from the deviceThey walk toward the deviceThey change their mind to move awayThey change their mind yet again to come back to the motion detector

============================================================

Problem 9

We have four separate disconnected sections that are all flat. This indicates that we have four people at different (unknown) distances away from the motion detector. None of these people are moving.

The unfortunate thing is that this graph is a bit misleading. This graph has the first section end rather than go on forever. The first person (or any other person for that matter) doesn't stop being detected and they aren't magically teleported away. However, the graph is set up like this to avoid failing the vertical line test.

1 32 multiplied by 0.32 when rounded to the nearest hundredths

Answers

Answer:

42.20

Step-by-step explanation:

132 ×0.32

=42.24

rounded off it give 42.20

Q2). Let A={1,2,3,4} B={a,b,c} which of the following are relation from B to A?
(i) {(c,a) (c,b) (c,1)}
(ii) {(c,4) (b,3) (c.2)}

Answers

Step-by-step explanation:

Given sets are :

A = {1,2,3,4} and B = {a,b,c}

(i)

WARM UP ACTIVITY (5 MIN) Ms. Chantel's car can go 228 miles on 6 gallons of gas. During a drive last week Ms. Chantel used 7 gallons of gas. a.) How far did she drive? b).Explain how the problem changes if you were given the distance Ms. Chantel drove last week instead of how much gas she used.

How does the problem change????​

Answers

Answer:

a. 266

b. if you were given the distance you can just do, the distance divided by 38

Step-by-step explanation:

A. 228/6=38

228+38=266

Help please!! I will mark brainilist and give a lot of points.




This is Pythagorean theorem.



Formula: a^2+b^2=c^2



When I say ^2 I mean to the power of 2.



The question is asking me to solve for a.



Then give me b and c which is b = 17 1/3 and c = 16.



How do I solve for a when b is greater than c? Won’t that give me a negative a? You can’t have a negative a right?



Unless I’m wrong.




Please help my solve this!!!!! :D

Answers

Answer:

what the first guy said

Step-by-step explanation:

keep adding by 2 and end up with 22

Hello there,

I just looked into the question and you are absolutely right whatever you inferred.I think the question might be wrong.The value of c should be greater than b.I guess it will like this:[tex]b = 16 \: \: \: c = 17 \frac{1}{3} [/tex]The values should be like this.I am solving the equation by this:[tex] {a}^{2} = {c}^{2} - {b}^{2} \\ = > {a}^{2} = {(17 \frac{1}{3}) }^{2} - {(16)}^{2} \\ = > {a}^{2} = {( \frac{52}{3} )}^{2} - {(16)}^{2} \\ = > {a}^{2} = ( \frac{52}{3} - 16)( \frac{52}{3} + 16) \\ = > {a}^{2} = ( \frac{52 - 48}{3} )( \frac{52 + 48}{3} ) \\ = > {a}^{2} = \frac{4}{3} \times \frac{100}{3} \\ = > {a}^{2} = \frac{400}{9} \\ = > a = \sqrt{ \frac{400}{9} } \\ = > a = \frac{20}{3} \\ = > a = 6 \frac{2}{3} [/tex]So, the value of a is [tex]a = 6 \frac{2}{3} [/tex]

Hope you could get an idea from it.

Doubt clarification - use comment section.

Factor this completely thank you

Answers

4(2x raise to power 2-4-7x)

SOMEONE PLS HELP LIKE IM SO FAWKIN DESPRETE [Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• opposite of 4

Answers

answer 1:If on a number line, to the right of zero but if not and you’re trying to oppose it, it’s -1.

answer 2:since the absolute values do not apply to positive numbers because the absolute value of say 5 is still five. But the absolute value of -5 is 5.

the absolute value of 1 is 1

so it is 1 unit above sea level

|_._._._._._._._._._._._|

-5,-4,-3,-2,-1,0,1,2,3,4,5

Compute​ r, the correlation​ coefficient, using the following data.

Answers

Answer:

The r=.950

Step-by-step explanation:

Question 9 (5 points)
(03.04 LC)
The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number? (5 points)

a
x − (x + 4) = 52

b
x + (x + 4) = 52

c
x(x + 4) = 52

d
x(x − 4) = 52

Question 10 (5 points)
(03.05 MC)
Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality shows the minimum number of hours, n, that Gavin should work as a babysitter to earn enough to buy the fish tank? (5 points)

a
8 + 9n ≥ 80, so n ≥ 8

b
8 + 9n ≤ 80, so n ≤ 8

c
9n ≥ 80 + 8, so n ≥ 9.8

d
9n ≤ 80 + 8, so n ≤ 9.8

Question 11 (5 points)
(03.05 MC)
Natalie works in a toy shop and earns $43 per day. She earns an extra $3 for each toy she sells. If Natalie wants to earn at least $70 per day, which inequality shows the minimum number of toys, n, that she should sell? (5 points)

a
43 + 3n ≥ 70, so n ≥ 9

b
43 + 3n ≤ 70, so n ≤ 9

c
43 + 3n ≥ 70, so n ≥ 24

d
43 + 3n ≤ 70, so n ≤ 24

Question 12 (5 points)
(03.05 MC)
Chad wants to buy some books over the Internet. Each book costs $10.01 and has a shipping cost of $9.96 per order. If Chad wants to spend no more than $50 for his books, which inequality shows the maximum number of books, p, that he can buy? (5 points)

a
9.96p − 10.01p ≤ 50, so p ≤ 1

b
9.96p + 10.01p ≤ 50, so p ≤ 2

c
9.96 − 10.01p ≤ 50, so p ≤ 3

d
9.96 + 10.01p ≤ 50, so p ≤ 4

Answers

Answer:

9. B, 10. A, 11. A, 12. D

Step-by-step explanation:

Question 9

The smaller number is x, the greater number is x + 4, their sum is 52:

x + (x + 4) = 52

Correct choice is B

Question 10

$8 and 9n should sum at least $80:

8 + 9n ≥ 80 ⇒ 9n ≥ 72 ⇒ n ≥ 8

Correct choice is A

Question 11

$43 and 3n should sum at least $70:

43 + 3n ≥ 70 ⇒ 3n ≥ 27 ⇒ n ≥ 9

Correct choice is A

Question 12

P books cost $10.01p and $9.96 for shipping, the total should be no more than $50:

9.96 + 10.01p ≤ 50 ⇒ 10.01p ≤ 40.04 ⇒ p ≤ 4

Correct choice is D

3. Consider the system { 9x – 12y = b
3x – 4y = 10
For what value of b will the system have infinitely many solutions?

Answers

Answer:

B=30

Step-by-step explanation:

Like and give 5 star rating

Answer:

b = 30

Step-by-step explanation:

all terms in the first equation will be three times the related terms in the second equation.

Then the two equation describe the same infinite line and any x,y pair that fits on one line will also fit on the other.

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