Suppose that you borrow ​$11000 for 4 years at 6​% toward the purchase of a car. Find the monthly payments and the total interest for the loan.

Answers

Answer 1

Answer:

The monthly payments ≅ $258.335

The total interest of the loan ≅ $1400.095

Step-by-step explanation:

The rule of the monthly payments is

[tex]M.P=\frac{P(\frac{r}{n})}{1-(1+\frac{r}{n})^{-nt}}[/tex] , where

P is the initial amountr is the rate in decimaln is the period in a yeart is the number of years

∵ You borrow ​$11000

P = 11000

∵ It will be for 4 years

t = 4

∵ The rate is 6%

r = 6% = [tex]\frac{6}{100}[/tex] = 0.06

∵ It is a monthly payment

n = 12

→ Substitute these values in the rule above

∴ [tex]M.P=\frac{11000(\frac{0.06}{12})}{1-(1+\frac{0.06}{12})^{-12(4)}}[/tex]

→ Use your calculator to find the answer

∴ M.P = 258.3353195

The monthly payments ≅ $258.335

→ The total interest of the loan is the difference between the total

   of the monthly payments and the initial amount

The total interest of the loan = T.M.P - P

The total of the monthly payments = M.P × t × n

∴ The total of the monthly payments = 258.3353195 × 4 × 12

The total of the monthly payments = $12400.09534

∵ The initial amount P = $11000

∴ The total interest of the loan = 12400.09534 - 11000

∴ The total interest of the loan = 1400.095

The total interest of the loan ≅ $1400.095


Related Questions

Don’t understand algebra 1

Answers

Answer: Try using Symbolab (i have no idea what the answer is sry)

The mean (average) of 4 numbers is 88.
What is the fourth number if three of the numbers are 80, 95, and 85
A 32
B. 54
с. 75
D. 99
E none of these

Answers

Answer:

E non of the above

Step-by-step explanation:

To get the original number you multiply 88 by 4

Then you add 80, 85 and 95 and then minus it from the original number

You should end up with 352 minus 260

Therefore the answer would be 92 and not a given answer so your answer is e: none of the above

0.5 mi = 2, 640 ft
O True
False

Answers

The answer is true, 1 mile is 5280 feet

Answer:True

Step-by-step explanation:

If you multiply the length value, you would get 2640 ft, so the answer is true.

If 40x = 400, then A. x equals 100. B. x equals 10. C. I equals 4. O D. x equals 1. E. requals 0 ).​

Answers

Answer:

B- x= 10

Step-by-step explanation:

40x=400 ->  40 x 10= 400

The value of x in the expression 40x = 400 by combining like terms would be 10. Hence, option B is true.

Given that,

The expression is,

40x = 400

Used the concept of expression by combining like terms.

Here, the expression is,

40x = 400

Divide both sides by 40,

x = 400/40

Therefore, the solution of x is,

x = 10

So, Option B is true.

To learn more about the divide visit:

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At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard.

Find the solution of the system of equations. Explain or show your reasoning
{x+y=4.25} ; {16.90x+4y=36.35}

Answers

Answer:

The number of yards of silk = x = 1.5 yards

The number of yards of cotton = y = 2.75yards

Step-by-step explanation:

At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard.

Find the solution of the system of equations. Explain or show your reasoning

{x+y=4.25} ; {16.90x+4y=36.35}

Let the number of yards of silk = x

The number of yards of cotton = y

We are given the system of equations:

{x+y=4.25} ......Equation 1

x = 4.25 - y

{16.90x+4y=36.35}....... Equation 2

4.25 - y for x in Equation 2

16.90(4.25 - y) + 4y = 36.35

71.825 - 16.90y + 4y = 36.35

71.825 - 36.35 = 16.90 - 4y

35.475 = 12.90y

y = 35.475/12.90

y = 2.75 yards.

The number of yards of cotton = y

{x+y=4.25} ......Equation 1

x = 4.25 - y

x = 4.25 - 2.75

x = 1.5 yards

The number of yards of silk = x = 1.5 yards

The yards of silk bought is  1.49 yards and the yard of cotton bought is 2.76 yards.

The two equations are known as simultaneous equation. They would be solved using elimination method.

x + y  = 4.25 equation 1

16.90x + 4y = 36.25 equation 2

where:

x = yards of silk bought

y = yards of cotton bought

In order to determine the value of x, multiply equation 1 by 4.

4x + 4y = 17 equation 3

Subtract equation 3 from 2

19.25 = 12.90x

Divide both sides of the equation by 12.90

x = 1.49 yards

In order to determine the value of y, substitute for x in equation 1

1.49 + y = 4.25

y = 4.25 - 1.49

y = 2.76 yards

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

Please answer this math questions ASAP thanks the picture is attached !!

Answers

Answer:

The answer is C

Step-by-step explanation:

Both f(x) and g(x) have a domain of [0,infinite). and a range of [0, infinite).

The answer would be C

Solve for t when 15cos(2pi/365t)43

Answers

Answer:

|2y|+3=2+3

3cos^2(x)+2cos(x)−1=0

3x=4−x

Step-by-step explanation:

Hoped that helped if it did may I please have a brainliest :)

Answer:

152

Step-by-step explanation:

An alligatoris 8 inches long at birth and grous 6 inches per year. Wirite an equation that represents the lengthy needs of an alligator that is years old
How long will the alligator be aher 5 years?

Answers

Answer:

6x+8

Step-by-step explanation:

38 inches. We write an equation for how much it grows each year, plus the original 8 inches. So, 6(5)+8=38

In the figure find aec

Answers

Answer:

105

Step-by-step explanation:

the angle of aec is just a little more that 90°

Write expression that represents the area of rectangle

5=width 4=height

Answers

5 times 4 is an expression because area=multiply

need help plz so can u ​

Answers

answer A. 2lb times 9 is 18lb and well $1 times 9 is $9

Divide. -4 1/3 divided by 2 3/5

Answers

The answer is: -1.66666666667 to be exact

Evaluate 4m+23+n/p−3, when m=7, n=2, and p=8.

Answers

Answer:

48 1/4

Step-by-step explanation:

plug in the values of m,n,p

4*7+23+2/8-3

= 28+23+1/4-3

= 28+23-3+1/4

= 28+20+1/4

= 48 1/4

1. What is the width of a rectangle with a length of 14 cm and area 161 cm2? Formula: A=L*W


2. What is the radius of a circle with a circumference of 13 ft? Formula: C=2PI*R


3. A rectangle has a perimeter 182 in. and length 52 in. What is the width? Formula: P=2*L+2*W


4. A triangle has a base of 7 m and an area of 17.5 m2. What is the height? Formula: A=1/2*b*h
Pls Show Work

Answers

Answer:

one question at a time please

I need help is anyone is out there and knows how to do this help.
HELP ASAP

Answers

Answer:

Sorry i have no idea hahha

Step-by-step explanation:

Good luck

1,2,1,10,1,50,1 what is the next number

Answers

Answer:

250

Step-by-step explanation:

its 1 and then the number before it times 5. without the ones it would be 2,10,50,250

Answer:

250

Step-by-step explanation:

theres a pattern, after every 1 you multiply by 5, for example 2x5=10 10x5=50 50x5=250

−2/3(12c−9)+14c
I need the answer

Answers

Answer:

6c+6

Step-by-step explanation:

-24/3c+18/3+14c

-8c+6+14c

6c+6

Can someone answer these questions please

Answers

A. Is y=-2x
B. Is y=1/2x

Salma must choose a number between 55 and 101 that is a multiple of 2, 8, and 16. Write all the numbers that she could
choose. If there is more than one number, separate them with commas.

Answers

Answer:

5*8=40, not big enough product

2*5*8=80, works

3*5*8=120, too bigStep-by-step explanation:

55

and

101

that is a multiple of

4

,

5

, and

8

The numbers between 51 and 101 and multiple of 2,8, and 16 are 80 and 96.

What is a number system?

A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.

Given that Salma must choose a number between 55 and 101 that is a multiple of 2, 8, and 16.

To calculate the numbers between 55 and 101 and are the multiple of 2,8, and 16. Get the multiple of 16 which will be the multiple of 8 and 2.

80 and 96 is the multiple of 16 and also of 8 and 2.

80 = 8 x 10 = 80

80 = 16 x 5 = 80

80 = 40 x 2 = 80

96 = 16 x 6 = 96

96 = 48 x 2 = 96

96 = 8 x 12 = 96

Therefore, the numbers between 51 and 101 and multiples of 2,8, and 16 are 80 and 96.

To know more about a number system follow

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is the number 749 rational?​

Answers

Yes. Because rational numbers can be written in a form of fraction and they are integers.

A diagram of a swimming pool is shown.
3.5 m
What is the approximate circumference of the swimming pool? Use 3.14 as an estimate for t.
Ο Α. 7 m
Ο Β. 11 m
Ο Ο Ο Ο
Ο C. 22 η
O D. 28 m

Answers

B
Because 11 m it’s the answer to that give me the same thing

Answer:

B. 11

Step-by-step explanation:

Im good with a Scientific calculator.

When given a system of equations in slope-intercept form, is graphing or substitution the most efficient method to solve?

Answers

i’m not sure but just gues

Find the difference: 25.050 - 9.169 =

Answers

Answer:

15.881

Step-by-step explanation:

u basically just subtract the two numbers from each other which gives u: 15.881

Leo has $28 to spend on pencils and paper for a school. Pencils cost $0.50 each and paper cost $1.50 each. Using x for pencils, and y for paper, write an inequality that represents what Leo can buy.​

Answers

Answer:

Please mark Brainliest if helpful...

0.5x+1.5y[tex]\leq[/tex]28

Step-by-step explanation:

X is the number of pencils, so multiply the price of one pencil by the number of them to get the total price of pencils-0.5xY is the number of paper, so multiply the price of one paper by the number of them to get the total price of paper-1.5yLeo has $28, so he can either spend $28 or less on pencil and paper, which means that his total cost should be less than or equal to 28

The sum of three consecutive odd numbers is 39. What is the largest of
the three numbers?

Answers

Answer:

e three integers are 11 , 13 , and 15

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

An odd number is 2n+1 followed by 2n +3 and 2n+5

2n+1+2n+3+2n+5=39

6n+9=39

6n=30

n=5

5+5=10

Which ordered pairs are solutions to the equation 5x+12y = 12?
Select the correct answer below:
a. (0,1)
b. (7,-6)
c. (6,5)
d. (2,3)
e. none of the above

Answers

(0,1) Click on the image to see the answers

The crew on a fishing boat caught four fish that weighed a total of 1,080 pounds. The
tarpon weighed twice as much as the amberjack
and the white marlin weighed twice
as much as the tarpon. The weight of the tuna was 5 times the weight of the
amberjack
How much did each fish weigh?
The amberjack weighed
pounds.
The tarpon weighed
pounds.
The marlin weighed
pounds.
The tuna weighed
pounds.
Kk

Answers

Answer:

Step-by-step explanation:

First, We highlight key details. Here we can use the information 1,080 pounds, tarpon weighed twice as much as the amberjack, the white marling weighed twice as much as the tarpon, and the tuna weighed 5 times the weight of the amber jack. And....I'm lost. Do you think you could help me figure it out by finding the first one? if you do that would be great, and I'll be sure to update my question. Thank you! ^^)

Plzzzz I need help plz I will do Anything what is this problem please answer fast I am in a test thank you I need a,b,c answered

Answers

Answer:

a. 9.75

b.3/2

c.y=3/2x

Step-by-step explanation:

f(x) = x2 – 5; f(-4)??

Answers

x=1 hope this helps !

Help!!! Please please I don’t know this at all

Answers

Answer:

X+y=180, Y=Z, X+Z=180

Step-by-step explanation:

Hope this helps, i remember doing this lesson.

Answer: the two answers that contain 180

Step-by-step explanation:

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