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


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The homeowners association for a residential community is selecting a committee of 7. There are 24 candidates for positions. How many possible committees can be formed?

Answers

Answer: 168

Step-by-step explanation:

Times the two numbers together to get the combinations.

24x7=168

Possible number of committees formed is equals to 3.

What is number?

" Number is defined as the arithmetic value which represents the count of any given quantity."

According to the question,

Total number of candidates for positions = 24

Number of candidate selected  for 1 committee = 7

Total possible number of committees = [tex]\frac{24}{7}[/tex]

                                                               = 3.428

                                                               ≈ 3 committees (approximate)

As one committee is formed by 7 candidates , it can not be in decimals or fractions.

Hence, possible number of committees formed is equals to 3.

Learn more about number here

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I’ll make you to Brainlius if you answer the question no links I’ll take a folder but no links or power point As long as you know the question and you didn’t the quiz at least send either PowerPoint or a folder please I need help immediately ASAP

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Answer:

1) Is 9 2)x-3   3) 12 ,106,42 4)1/12 5) one ,three half ,three 6)32 7) 1,4,5 8) 1 z-9 2 9+z 3 9/3 4 9z 9) 3/n 10 10) 1 2

Step-by-step explanation: Cuz I'm In The Test Now And Jest Got Done With It And All The Answers are Right here  

2^3+4•2-7=
2^4=8
4•2=8
8+8=16-7
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5. Aaron sold 126 boxes of cookies. This is 14 more than twice the
number of boxes his sister, Victoria, sold. How many boxes of
cookies did Victoria sell?

Answers

Answer:

112

Step-by-step explanation:

Aaron = y

Victoria = x

y = 14 +x

126 = 14 + x

x = 112

Victoria sold 112 boxes of cookies

how do i rewrite -2/3x+2y=-7 in slope intercept form?

Answers

Answer:

y=1/3x-7/2

Step-by-step explanation:

First get the 2y by itself by adding 2/3x to both sides. Then subtract both sides by 2.

Y=1/3x-7/2


To do this put equation in y=mx+b

It’s for pre college

Answers

Answer:

Step-by-step explanation:

y = mx + b for line through (7, 4) and perpendicular to -5x + 9y = - 71

perpendicular lines have negative reciprocal slopes

-5x + 9y = - 71

9y = 5x - 71

y = (5/9)x - 71/9

so a perpendicular line will have slope -9/5

y = (-9/5)x + b

plug in our desired point

4 = (-9/5)7 + b

4 = -63/5 + b

20/5 = -63/5 + b

b = 83/5

y = (-9/5)x + 83/5

5y = -9x + 83

Help I’m timed!

The graph of an equation with a negative discriminant always has which characteristic?

A: no x-intercept

B:no y-intercept

C: no maximum

D: no minimum

Answers

Answer:

a

Step-by-step explanation:

Negative discriminant means that the fucntion has no real roots

so in the quadratic function b^2-4ac if this section is negative there are no real roots, so yes a would be the answer

Bonus: if u want to know.

However, in linear algebra which ofc i know ur not taking there would be something called imangiary roots, or complex roots.

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Answer:

O = 16.7 degrees

A = 73.3 degrees

Step-by-step explanation:

used a triangle calculator

WILL MARK AS BRAINLIEST IF CORRECT

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Answer:

A) 1/12

Step-by-step explanation:

for every 1 that x increase f(x) increases 12

Answer:

1

Step-by-step explanation:

3. Sarah has a goal to save $81.84 for a new gan
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Answer:

93.84

Step-by-step explanation:

I think I'm not sure

Emilia waited 11 minutes for the bus today. That is 4 minutes less than she waited yesterday. How long did Emilia wait for the bus yesterday?

Answers

11 minutes + 4 minutes more yesterday = 15 total minutes

Answer: 15 minutes

Answer:

Emilia waited 11 minutes wich was 4 minutes earlier so 11+4 because it was 4 miutes earlier so 11 minutes + 4 minutes = 15 minutes so this means Emilia wait 15 minutes for the bus yesterday

Step-by-step explanation:

What is the output, or dependent variable or
quantity?
Х
f(x)
у
DONE

Answers

Answer:

x is the input, or independent variable and f(x) is the output, or dependent variable or quantity. f(2) represents the output (y-value) when x = 2. The value of f(2) is 2.

Step-by-step explanation:

If the values of a variable depends on the other variable, then it called dependent variable.

If the value of a variable does not depend on the other, then it is called independent variable.

If a function is f(x)=x, then x is an independent variable and f(x) is a dependent variable.

The given function is

Here, x is the input, or independent variable and f(x) is the output, or dependent variable or quantity.

The notation f(a) represents the output (y-value) when x = a. So, f(2) represents the output (y-value) when x = 2.

Substitute x=2 in the given function.

The value of f(2) is 2.

Answer:

f(x)

Step-by-step explanation:

Multiply & Divide Fractions Task Card # 29
3
4
Beverly walks for exercise
mile every day: How far does
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Answers

Answer:

I dont understand what you're saying, but im thinking 7 miles?

Please help!

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Answers

Answer:

y = 1/3x + 2

Step-by-step explanation:

Slope - Intercept Form = y = mx + b

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You can see that as the graph goes up by 1, it goes to the right 3, so slope = 1/3

Equation : y = mx + b

Equation : y = 1/3x + 2

-Chetan K

Answer:

Step-by-step explanation:

Equation : y = mx + b

Equation : y = 1/3x + 2

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Answers

Answer:

9w=8w-5

collect like terms

9w-8w=-5

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Answer:

5 x 3 = 15 / 4 x 8 = 32 / 6 x 1.5 = 9

Step-by-step explanation:

Answer:3,8,3/2

Step-by-step explanation:

1) 5*x=15

X=15/5=3

2) 4*x=32

X=32/4=8

3)

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Simplify the linear expression

-5/8a+2/3-1/4a-5/6

Enter your answer as simplified fractions in the boxes.

Answers

Answer:

[tex]\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}[/tex]

Step-by-step explanation:

This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of [tex]-\frac{1}{4} a[/tex] would be 2, and in the case of [tex]\frac{2}{3}[/tex] the value would be 2. This would result in the equation: [tex]-\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}[/tex]. Then simply combine like terms to get your final answer.

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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:

A truck has a bed 6 ft long, 5 ft wide, and
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Answers

Answer:

6*5=30

30*3=90

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Answers

Answer:

Step-by-step explanation:

3 1/2 x 2 2/3 = 9 2/6 which simplifies to 9 1/3

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Answers

Answer:

The first one is incorrect

Step-by-step explanation:

|a| would still be less than b, because you are mirroring a on the other side of b.

The diagram shows where |a| would lie.

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It’s the first choice! Hope this helps

Write a polynomial function of the least degree that has roots of 3 and (4 + i).

Roots:
Polynomial Function:

Answers

Answer:

x³ - 11x² + 41x - 51

Step-by-step explanation:

The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.

The polynomial is:

(x - 3)(x - (4 + i))(x - (4 + i)) = (x - 3)(x² -x(4 + i + 4 - i) + (4 + i)(4 - i)) = (x - 3)(x² - 8x + 16 - (-1)) = (x - 3)(x² - 8x + 17) = x³ - 8x² + 17x - 3x² + 24x - 51 = x³ - 11x² + 41x - 51

Hey help please math I need help good luck I’ll I’ve point

Answers

Answer:

180 degrees

Step-by-step explanation:

180 degrees would flip the triangle halfway through a full circle. B is A upside down rotated halfway through a full circle.

Write the equation of the circle centered at (10, – 4) that passes through (14, 12).

Answers

Answer:

  (x -10)² +(y +4)² = 272

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

The center is given as (h, k) = (10, -4). We can find the value of r² using the "passes through" point coordinates:

  (14 -10)² +(12 -(-4))² = r² = 16 +256 = 272

Then for the given center and the value of r² we found, the equation is ...

  (x -10)² +(y +4)² = 272

find the equation of a line in slope-intercept form, containing the points (9,2.6) and (8,2.2).

Answers

the equation in slope-intercept form would be y = 0.4x - 1

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