For # 20-24; Samantha is going to purchase a new car for $36,000. She plans to make a 10% down payment with a 60 month (5 year) fixed installment loan with a 6.0% APR. 20. How much is the down payment? 21. How much will Samantha finance? 22. Determine Samantha's monthly payment 23. Determine the total amount Samantha paid. 24. Determine the finance charge.

➡️Sqdancefan sir please solve this questions.
Thank you.​

For # 20-24; Samantha Is Going To Purchase A New Car For $36,000. She Plans To Make A 10% Down Payment

Answers

Answer 1

Answer:

  20. $3,600

  21. $32,400

  22. $626.38

  23. $41,182.80

Step-by-step explanation:

20.

The down payment is 10% of the purchase price, so is ...

  amount down = 10% × $36,000 = 0.10 × $36,000

  amount down = $3,600

__

21.

The amount financed is the remaining amount due:

  $36,000 -$3,600 = $32,400

__

22.

The monthly payment is found from the amortization formula.

  A = P(i/12)/(1 -(1 +i/12)^(-12t)) . . . . P is the amount financed at rate r for t years

  A = $32,400(0.06/12)/(1 -(1 +0.06/12)^(-12×5))

  A = $32,400(0.005)/(1 -(1.005^-60)) ≈ $626.38

Samantha's monthly payment will be $626.38.

__

23.

The total amount paid is ...

  total paid = down payment + monthly payment × number of months

  total paid = $3,600 +626.38×60 = $41,182.80

The total amount Samantha will pay is $41,182.80.


Related Questions

100 Points
what percentage of 205 is 54? can you also show your work

Answers

Answer:

the exact percentage is 26.34146. but i'd write it down as 26.34 or just 26

Step-by-step explanation:

we convert 54/205 into a percentage

Answer:

x = 26.34%

Step-by-step explanation:

Let the percentage be x:

205 * x% = 54

x% = 54 ÷ 205

x% = [tex]\frac{54}{205}[/tex]

[tex]\frac{x}{100}[/tex] = [tex]\frac{54}{205}[/tex]

x = [tex]\frac{54*100}{205}[/tex]

x = [tex]\frac{5400}{205}[/tex]

x = 26.34146341%

x = 26.34%

PLEASE CAN SOMEONE HELP ASAP!!!!!!!!
DUE BY 11:59 OMGGG

Answers

Answer:

A, C, F

Step-by-step explanation:

JK is proportional to PQ, so that would be 8/x. Then, JL is proportional to PR, which would be 10/5. So, the answer is: 8/x = 10/5

Then, C would also be correct as KL is proportional to QR, and JK is proportional to PQ.

Finally, F is correct as JK to KL is proportional to PQ to QR, as JK is proportional to PQ, and KL is proportional to QR.

What is the slope of the line

Answers

The slope of the line is Y= -3/4x + 2

The group is trying to determine what the price difference would be per passenger if 10 of them go on the trip versus if 16 of them go on the trip. What is the difference in price per passenger for a group of 16 versus a group of 10? $46. 25 $36. 25 $56. 25 $26. 25.

Answers

The difference in price per passenger for a group of 16 versus a group of 10 is $26.25.

Given

A group of friends chartered a deep-sea fishing boat out of Destin, FL.

The graph below represents the total cost, in dollars, of the trip as a function of the number of people going.

The group is trying to determine what the price difference would be per passenger if 10 of them go on the trip versus if 16 of them go on the trip.

What is a linear equation?

An equation between two variables that gives a straight line when plotted on a graph.

The group of 16 people would cost $2,500, so it would be $156.25 for each person.

The group of 10 people would cost 1,300 (I got this from going to 10 on the chart then following it up to the line), so it would be $130 per person.

Then, $156.25 - $130 = $26.25

Hence, the difference in price per passenger for a group of 16 versus a group of 10 is $26.25.

To know more about the Linear equation click the link given below.

https://brainly.com/question/13553275

if you are picking a number between 1-20 what is the probability that you will pick an even numder or a multiple of three

Answers

Answer:

The probability of an event happening is desired outcome/sample space.

For our sample space, it’s just the number of numbers: 20.

The outcome you want has some overlap: 6. 12. 18. So, we’ll subtract these as they fit both criteria.

Even numbers: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 (10 numbers)

Multiples of 3: 3, 6, 9, 12, 15, 18 (6 numbers)

Pr(A or B) = Pr(A) + Pr(B) - Pr(overlap, also known as A intersect B)

Pr(even or mult. of 3) = 10/20 + 6/20 - 3/20 (the overlap)

= 13/20.

So, there is a 65% of you picking an even number or a multiple of three.

Step-by-step explanation:

Hopes this helps. <3

Function or not a function

Answers

Answer:

Not a function.

Step-by-step explanation:

Due to the fact that an element from the first set of components is associated with one and only one element from the other. In this case, as it is a circumference, the elements match with more than one element of the other set. I'll give you an example.

Note: I've tried to keep it as simple as possible, and I'm not natively English so I don't really know how some things are mentioned, but I've also made a picture representation and I think it simplifies.

The area of a circular swimming pool is approximately 18m2. What is the best estimate for the radius?

Answers

Answer:

Below

Step-by-step explanation:

Since S = πr², then r=√{S/π)=2.3942


Natalie bought 10 pizzas for a party. When the party was over, she noticed 1/5 of the
pizza was gone. How much pizza did everyone eat at the party?


Answers

Answer:

8 pizzas

Step-by-step explanation:

If 1/5 was remaining, the hoard consumed 4/5 of all the pizza.

(4/5)*(10 pizzas) = 8 pizzas

Answer:

2 pizzas

Step-by-step explanation:

[tex]\frac{10}{1}[/tex]*[tex]\frac{1}{5}[/tex]=[tex]\frac{10}{5}[/tex]

then divided 5 by 10 and it equals 2 pizzas.

Which is the answer?

A: 19, 95, 114; obtuse

B: 10, 50, 60; acute

C: 16, 80, 96; obtuse

D: 12, 60, 72; acute

E: 15, 75, 90; right

Answers

Answer:  Choice E

15, 75, 90; right

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

Explanation:

The ratio 1:5:6 scales up to x:5x:6x for some positive real number x.

The three interior angles are x, 5x and 6x. For any triangle, the interior angles always add to 180.

x+5x+6x = 180

12x = 180

x = 180/12

x = 15

So,

5x = 5*15 = 756x = 6*15 = 90

The triangle has angles of 15, 75 and 90 degrees.

Because we have a 90 degree angle, this is a right triangle.

Note how 15+75+90 = 180 to help confirm the answer.

A person can spend at most $12 on corn oil and cereal. A bottle of corn oil costs $3 and a box of cereal costs $2. Identify the inequality and the graph that describe the situation where x is the number of bottles of corn oil and y is the number of boxes of cereal.

Answers

There’s no graph. Can you please provide one for an answer?
Can you post the picture of the graph I’ll help

find the sum of difference

Answers

Evaluate question answers
1. 6x7 -3
V
42 - 3
V
39
Answer
39

2. 2x6+3x7 - (-3)
V
12 + 21 - (-3)
V
12 + 21 + 3
V
36
Answer
36

3. 5 x (-3) +7 - 6
V
-5 x3+7 - 6
V
-15 + 7- 6
V
-14

Find the sum or difference answers

1. Simplify or expand
(16m 4 - 8m + 3) + (-7m4 - m2 - 8)

16m4 - 8m + 3 - 7m4 - m2 - 8
V
9m4 - 8m - 5 - m2
V
9m 4 - m2 - 8m - 5
Answer
9m 4 - m2 - 8m - 5

2. Simplify or expand
(3x2 - 5x + 9) + (2x2 + 9x -4)+ (7x- 11)
v
3x2 - 5x + 9+ 2x2+9x - 4+7x-11
V
5x2 + 11x - 6
Answer
5x2 + 11x - 6

3. Simplify or expand
(3y2 - y - 6) - (42 + 5y+ 3)
V
3y2 - y - 6 - 4y2 - 5y - 3
V
-y2 - 6y - 9
Answer
-y2 - 6y - 9

4. -7 -2+2x2+ 9x
2 Simplify or expand
-7 - 2+2x2+9x
V
-9 + 2x2 + 9x
V
2x2 + 9x - 9
Answer
2x2 + 9x - 9

A, B and C lie on a straight line.

Given that angle

y

= 128° and angle

z

= 91°, work out

x

.

Answers

Answer:

y+what ever the angle inside=180 since its on a line

180-128=52

52+z+x=180since thats always the angles of a triangle added up

52+91+x=180

add

143+x=180

-143

x=37

Hope This Helps!!!


$35,000 at 2% for 9 years. ending balance and interest

Answers

Answer:

[tex]Solution[/tex]

Here,

[tex]Principle(p)=$35000\\Rate(r)=2%\\\\Time(t)=9 years[/tex]

[tex]Now, Interest(I)=\frac{PTR}{100}[/tex]

                            [tex]=\frac{35000*2*9}{100}\\= $3600[/tex]

NEED THIS NOW.
Three years ago, Jolene bought $750 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 12
1
2
% per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.)

Answers

Answer:

1053.7$

Step-by-step explanation:

750$ x 12%= 90

first year: 750 + 90 = 840

840$ x 12%= 100.8$

second year: 840+ 100.8= 940.8

940.8$ x 12%= 112.896

third year (now)= 940.8+ 112.896 = 1053.696$

There are 102 coins with the value of 17.10$ and they are quarters and dimes, how many of the coins are dimes

Answers

Answer:

Let x = number of dimes

y = number of quarters

Equation 1 is then x + y = 100, that one is easy.

Now you have to worry about values of each, and since a dime is $0.10 and a quarter is $0.25, that means that the number of each times their respective dollar amounts has to add up to the total dollar amount.

Equation 2 is then 0.1x + 0.25y = 14.05

To rewrite for clarity you have:

x + y = 100 (1)

0.1x + 0.25y = 14.05 (2)

Now you can solve this any number of ways, I'm going to use addition by multiplying both sides of equation 1 by -1/10 and then adding it to equation 2.

-0.1x - 0.1y = -10

0.1x + 0.25y = 14.05

0.15y = 4.05

don't let the decimals trip you up, that's the same as

15y = 405

y = 27 quarters

Now use that value in the original equation 1 to get

x = 100 - 27 = 73 dimes

To check use the values in the equation 2

$0.1*(73) + $0.25*(27) = $14.05

$7.30 + $6.75 = $14.05

40 points and brainliest to the best correct answer, questions in photo.
Please do and explain numbers 2, 4, 6, and 8, thank you.​

Answers

Answer:

2. w = -3

4. c = -2

6. r = 7

8. n = 4

Step-by-step explanation:

It's hard to read the photo, but I'll try.

2.

[tex] 2^{w + 4} \times 2^{4w + 6} = 2^{2w + 1} [/tex]

On the left side, you have a product of 2 powers with the same base.

Give the same base and add the exponents, as in the rule

[tex] a^m \times a^n = a^{m + n} [/tex]

You get on the left side 2 to the sum of the exponents.

[tex] 2^{w + 4 + 4w + 6} = 2^{2w + 1} [/tex]

Simplify the long exponent on the left side.

[tex] 2^{5w + 10} = 2^{2w + 1} [/tex]

Now we have another rule we can use. If two powers are equal, and their bases are equal, then the exponents must be equal.

Here, 2 to the power 5w + 10 equals 2 to the power 2w + 1. Since both bases are 2 and are equal, then the exponents must be equal.

5w + 10 = 2w + 1

Subtract 2w from both sides. Subtract 10 from both sides.

3w = -9

Divide both sides by 3.

w = -3

4.

[tex] \dfrac{1}{5} = 5^{2c + 3} [/tex]

We need to write the left side as a power of 5. Then we equate the exponents like we did in problem 2.

Recall the rule:

[tex] a^{-n} = \dfrac{1}{n} [/tex]

Apply this rule to the left side in reverse.

[tex] 5^{-1} = 5^{2c + 3} [/tex]

Now we have two powers that are equal, both having the same base, 5, so the exponents must be equal.

2c + 3 = -1

2c = -4

c = -2

6.

[tex] 216 = 6^{2r - 11} [/tex]

This is the same idea as problem 4. Write the left side as a power of 6.

[tex] 6^3 = 6^{2r - 11} [/tex]

[tex] 2r - 11 = 3 [/tex]

[tex] 2r = 14 [/tex]

[tex] r = 7 [/tex]

r = 7

8.

[tex] 4^{n} \times 4^{2n - 9} = 64 [/tex]

This problem is similar to problem 2.

[tex] 4^{n + 2n - 9} = 4^3 [/tex]

[tex] 4^{3n - 9} = 4^3 [/tex]

3n - 9 = 3

3n = 12

n = 4

can someone help i don't understand this

Answers

a) h = 2sqrt2 because for a 45-45-90 triangle both legs have the same measurement and to find the hypotenuse, you would multiply the leg by square root of 2.

b) d = sqrt3 because in order to find the short leg for a 30-60-90 triangle, you would need to divide your long leg by a square root of 3 (if you have the hypotenuse and wanted to find the short leg, divide the hypotenuse by 2).

. Carrie sent 190 total text messages in the first
five days of May. If text messages cost 4¢
each, much should she expect to pay that
month?

Answers

Answer:

760 ¢

Step-by-step explanation:

190 multiplied by 4 is 760

clarissa earned 8$ for working 3 hours. how many hours will she have to work to earn 16$

Answers

Answer:

6 hours you're welcome owo

Complete the statements to solve for x. By the converse of the side-splitter theorem, if JK/KL = , then KM ∥ JN. Substitute the expressions into the proportion: StartFraction x minus 5 Over x EndFraction = StartFraction x minus 3 Over x 4 EndFraction. Cross-multiply: (x – 5)( ) = x(x – 3). Distribute: x(x) x(4) – 5(x) – 5(4) = x(x) x(–3). Multiply and simplify: x2 – x – = x2 – 3x. Solve for x: x =.

Answers

The value of x is 10.

Given

By the converse of the side-splitter theorem;

If  [tex]\rm \dfrac{JK}{KL}[/tex] then, KM||JN.

What is the side-splitter theorem?

If a line is parallel to one side of the triangle and intersects the other 2 sides, it divides the sides proportionally.

If a line is drawn parallel to one side of the triangle, then it divides the other two sides in the same ratio.

KM || JN

[tex]\rm \dfrac{JK}{KL}= \dfrac{NM}{ML}\\\\[/tex]

Where JK = x-5, KL = x-3, NM = x, and KL = x+4.

Substitute all the values in the equation

[tex]\rm \dfrac{JK}{KL}= \dfrac{NM}{ML}\\\\ \dfrac{x-5}{x-3} = \dfrac{x}{x+4}\\\\(x-5) (x+4) = x(x-3)\\\\x^2+4x-5x-20 = x^2-3x\\\\x^2-x-20-x^2+3x=0\\\\2x-20=0\\\\2x = 20\\\\x = \dfrac{20}{2}\\\\x=10[/tex]

Hence, the value of x is 10.

To know more about the side-splitter theorem click the link given below.

https://brainly.com/question/10612748

Answer:

NM/ML

x+4

20

10

Step-by-step explanation:

just did it

-edge 2022

One-Step Equations pls help 30 points if you solve them

Answers

Answer:

No1.

let x represent number of ice cream cones

80=12+4x

80-12=4x

68=4x

x=68/4

x=17

Check:

12+4(17)

=12 +68=80

3. 5x+14=9

collect like terms

5x=9-14

5x=-5

x=-5/5

x= -1

check:

5(-1)+14= -5+14 =9

Susan drove 385 miles in 7 hours.
At the same rate, how long would it take her to drive 605 miles?

Answers

Answer:

11hrs.

ur hawt

7) When Ernest Rutherford worked with radioactive decay of radium, he noticed it had a
half-life of 100 days. This means that whatever the amount of radium he has at the
beginning, in 100 days he'll have half of that amount. In one experiment, he starts with
320 mg of radium, and stores it for 40 days. How much radium will be left after the 40
days?

Answers

Using an exponential function, it is found that 242.5 mg of radium will be left after the 40 days.

What is an exponential function?

The exponential function for the amount of a decaying substance is modeled by:

[tex]A(t) = A(0)e^{-kt}[/tex]

In which:

A(0) is the initial amount.k is the decay rate, as a decimal.

In this problem, the half-life is of 100 days, hence:

[tex]A(100) = 0.5A(0)[/tex]

Which is used to find k.

[tex]A(t) = A(0)e^{-kt}[/tex]

[tex]0.5A(0) = A(0)e^{-100k}[/tex]

[tex]e^{-100k} = 0.5[/tex]

[tex]\ln{e^{-100k}} = \ln{0.5}[/tex]

[tex]-100k = \ln{0.5}[/tex]

[tex]k = -\frac{\ln{0.5}}{100}[/tex]

[tex]k = 0.0069314718[/tex]

Then, the equation is:

[tex]A(t) = A(0)e^{-0.0069314718t}[/tex]

He started with 320 mg of radium, hence [tex]A(0) = 320[/tex], and the equation is:

[tex]A(t) = 320e^{-0.0069314718t}[/tex]

After 40 days, the amount left is:

[tex]A(40) = 320e^{-0.0069314718(40)} = 242.5[/tex]

242.5 mg of radium will be left after the 40 days.

You can learn more about exponential functions at https://brainly.com/question/25537936

Please help

Which expression is equivalent to (3w-8)-4(2w+3)?

A. 11w+4

B. -5w-5

C. -5w+4

D. -5w-20

Answers

Answer:

-5w-20 is equivalent to (3w-8)-4 (2w+3)

3. Why does it tako 3 copies of; to show the same amount as 1 copy of ?? Explain your answer in words
and pictures

Answers

Because 3/6 is equal to 1/2.
You multiply the 1 (in 1/2) by 3, and the 2 (in 1/2) by 3 to get 3/6. You need to have a common denominator, and 6 was the common denominator.

HELP WITH THIS PLEASE

Answers

Step-by-step explanation:

1a.

[tex](2 {p}^{2} )^{3} = {2}^{3} {p}^{6} = 2p \times 2p\times 2p\times p\times p\times p[/tex]

(2p^2)^3 without exponents will represent 2p being multiplied by 2p 2 times and by p 3 times.

1b. Solve:

Include exponent outside parenthese:

[tex]{2}^{3} {p}^{2 \times 3} [/tex]

[tex]8 {p}^{6} [/tex]

8p^6 is your answer for part B.

Tamara says she used the GCF to factor the expression 21x 56xy as 7(3x 8xy). Is she correct? Explain.

Answers

7x is the GCF of the polynomial.

Polynomial

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Given

21x + 56xy is a polynomial.

To find

The GCF to factor the polynomial.

How to find the GCF to factor the polynomial?

21x + 56xy is a polynomial.

Take 7x common from the polynomial. we have

21x + 56xy

7x (7 + 8y)

Thus, 7x is the GCF of the polynomial.

More about the polynomial link is given below.

https://brainly.com/question/17822016

What is the first step to solve for 9 − 4 = 18?

Answers

Step-by-step explanation:

bring the 4 to 18 which will give you 22.

Next you divide them by 9.

The answer you get is it

The first step is to subtract 9-4

Further explanation:
9-4 equals 5
Check the equality between 5=18
This equality is false because the left and right hand side are different
Your solution/answer is false

Question 3
In the diagram, m ll n. Identify all of the angles that are congruent to <2.

A. <3, <6, <7
B. <1, <7, <8
C. <1, <3, <4
D. <4, <6, <8​

Answers

it is d the answer is d

I will show the options, for example how I wish it to be is like, "1 Acute" something like that, I will show you the answers.
Acute
Isosceles
Obtuse

Answers

Answer:

1. Acute

2. Obtuse

3. Isosceles

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