Terry and Jim have two car loans totaling $ 26,004.
One loan has an annual percentage rate (APR) of 3.1 % and the other has an APR of 7%.
If the total interest they paid after one year is $1,481.25, what is the amount owed on each car?
(1 = PRT. Note t = 1 year).
Answer needed right away!! With explanation

Answers

Answer 1

The annual percentage rate is the interest rate for payment for the car

loan.

The mount owed on the car with an APR of 3.1% is approximately $8,693.08.

The mount owed on the car with an APR of 7% is approximately $17,310.92.

The given parameters are;

The amount of loan Terry and Jim have = $26,004

The annual percentage rate (APR) on one loan = 3.1 %

The annual percentage rate (APR) on the other loan = 7 %

Total interest paid after one year = $1,481.25

Required:

The amount owed on each car

Solution:

Let X represent the loan, with 3.1% APR, we have;

The other loan with 7% APR = 26,004 - X

Therefore;

0.031·X + 0.07·(26,004 - X) = 1,481.25

0.031·X + 1,820.28 - 0.07·X = 1,481.25

1,820.28 - 1,481.25 = 0.07·X - 0.031·X = 0.039·X

339.03 = 0.039·X

[tex]X = \dfrac{339.03}{0.039} \approx 8693.08[/tex]

Therefore;

The amount owed on the car with an APR of 3.1%, X ≈ $8,693.08

Therefore;

The amount owed on the car with an APR of 7% ≈ 26,004 - 8693.08 =

17310.92.

The amount owed on the car with an APR of 7% ≈ $17,310.92

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https://brainly.com/question/15400760


Related Questions

Should the United States return to a gold standard? Why?

Answers

Answer:

No

Step-by-step explanation:

If the U.S goes in a gold standard it can put the whole state in a crises

HELP ASAP
I WILL GIVE BRAINLIEST



How is the product of 2 and 5 shown on a number line?
2-1 0 1 2 3 4 5.7.1
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101235
7.
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Answer:

4th option

Step-by-step explanation:

2x-5 means yo have to take minus 5 twice. So you start from 0 and jump back 5 steps twice. So 4

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Answer:

I dont know

Step-by-step explanation:

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Which of the following equations represents the greatest value of x?

Equation 1
x^2 = 17
Equation 2
x^2 = 26
Equation 3
x^3 = 64
Equation 4
x^3 = 27

Answers

Answer:

Equation 2 represents the greatest value of x!

Step-by-step explanation:

Let's solve each equation for x.

Equation 1; x = 4.1 (about)

Equation 2: x = 5 (about)

Equation 3: x = 4 (exact)

Equation 4: x = 3 (exact)

Hope this helps. :)

Equation 2
Hopes this helped love

Find the surface area of the following cylinder. Round your answer to the nearest square centimeter.

Answers

Answer:

V=2(pi)(r)(h)+2(pi)(r^2)

v=2(pi)(10/2)(0.8)+2(pi)(10/2)^2

TSA=159.512

TSA=160

Step-by-step explanation:

Please take a look at the picture

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Answer:

D

Step-by-step explanation:

-6-(-5)=-6+5

         =-1

Answer:

D) The number that is 5 to the right of -6 on the number line

Hope this helps :)

❗❗CORRECT ANSWER+EXPLANATION=BRAINLIEST❗❗
Simplify: (question in the pic)​​

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The simplified form of the function is [tex]f(x) = \frac{x+3}{x}[/tex]

Functions and equation

Given the following function as shown:

[tex]f(x)=\frac{x^2-9}{x^2-3x}[/tex]

This can be factorized as:

[tex]f(x)=\frac{x^2-3^2}{x(x-3)}\\f(x)= \frac{(x+3)(x-3)}{x(x-3)} \\[/tex]

Cancel out the common terms:

[tex]f(x) = \frac{x+3}{x}[/tex]

Hence the simplified form of the function is [tex]f(x) = \frac{x+3}{x}[/tex]\

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Hi Phoenix! :)

I'm much late lol.

Answer:

[tex]\boxed{ \cfrac{x + 3}{x}} [/tex]

Step-by-step explanation:

Given:

[tex] \cfrac{x {}^{2} - 9}{x {}^{2} - 3x } [/tex]

Solution:

[Here the best option is to factorise the expression.]

Rewrite the numerator of the expression as

[tex] \cfrac{x {}^{2} - 3 {}^{2} }{x {}^{2} - 3x} [/tex]

It can be seen that the numerator is like an algebraic identity:

> a² - b² = (a+b)(a-b)

ATP, numerator : a = x² and b = 3²

[tex] \cfrac{(x + 3)(x - 3)}{ {x}^{2} - 3x} [/tex]

Now in the denominator take x common:

[tex] \cfrac{(x + 3)(x - 3)}{x(x - 3)} [/tex]

(x-3) in the denominator and (x-3) in the numerator gets canceled.

[tex] \cfrac{(x + 3) \cancel{(x - 3)}}{x \cancel{(x - 3)}} [/tex][tex] \boxed{\cfrac{x + 3}{x} }[/tex]

Welp,Done, that's it! :D

Find ML of the trapezoid

Answers

Answer:

Formula for Volume of a Trapezoidal Prism. If the prism length is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2. In other words, multiply together the length, height, and average of A and B.Step-by-step explanation:

Write 2 over 5 as a percent.

Answers

Answer:

40%

Step-by-step explanation:

2/5 = 40/100 = 40%

2/3 cup of juice for every 1/3 cup of oj. How many cups of juice is used for 1 cup of OJ

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[tex]\begin{array}{ccll} Juice&OJ\\ \cline{1-2} \frac{2}{3}&\frac{1}{3}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{2}{3}~~}{x}=\cfrac{~~\frac{1}{3} ~~}{1}\implies \cfrac{~~ \frac{2}{3}~~}{x}=\cfrac{1}{3}\implies \cfrac{~~ \frac{2}{3}~~}{\frac{x}{1}}=\cfrac{1}{3} \\\\\\ \cfrac{2}{3x}=\cfrac{1}{3}\implies 6=3x\implies \cfrac{6}{3}=x\implies 2=x[/tex]

the price of 10 chairs is equal to that of 4 tables. the price of 15 chairs and two tables together is 4000$ the total price ( in $) of a chair and table is?​

Answers

Answer:

  $700 for a chair and a table

Step-by-step explanation:

Let t and c represent the price of a table and a chair, respectively. The given relations are ...

  10c = 4t

  15c +2t = $4000

Divide the first equation by 2 and substitute for 2t:

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  15c +5c = $4000

  20c = $4000

  c = $200

  t = 5c/2 = 5($200)/2 = $500

The total price of a chair and a table is ...

  $200 +500 = $700 . . . . price of a chair and a table

In the penny game exercise, why do you think it takes longer for one person to flip five batches of two pennies then one batch of ten pennies

Answers

It takes longer for one person to flip five batches of two pennies than one batch of ten pennies, mainly for a simple reason: although 5 x 2 is equal to 10, that is, it will take the same time to flip the coins, 5 batches is greater than 1 batch, which will take longer to manipulate each of these, increasing the total time.

Learn more about maths in https://brainly.com/question/21477139

Which of the following statements is incorrect?
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b. xo xx-4 = x2
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Answers

Answer:

The last one is incorrect

What are the x - intercepts of the graphed function

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Answer: second one is the correct answer

Step-by-step explanation:

BEST ANSWER GETS BRAINLIEST!!!!

A store is having a sale on trail mix and jelly beans. For 3 pounds of trail mix and 8 pounds of jelly beans, the total cost is $31. For 5 pounds of trail mix and pounds of 2 jelly beans, the total cost is 12. Find the cost for each pound of trail mix and each pound of jelly beans.

Answers

Answer:

3x + 8y = 31

5x + 2y = 12

Let's solve your system by elimination.

Multiply the second equation by -4, then add the equations together.

(3x + 8y = 31)

−4 (5x + 2y = 12)

Becomes:

3x + 8y = 31

−20x − 8y = −48

Add these equations to eliminate y:

−17x = −17

Then solve −17x = −17 for x:

−17x = −17

−17x −17 = −17 − 17 (Divide both sides by -17)

x = 1

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

3x + 8y = 31

Substitute 1 for x in 3x + 8y = 31:

(3)(1) + 8y = 31

8y +3 = 31 (Simplify both sides of the equation)

8y + 3 − 3 = 31 − 3 (Add -3 to both sides)

8y = 28

8y8 = 288 (Divide both sides by 8)

y = 7/2

Tony bought a skateboard online. It cost $96 plus 20% shipping and handling. What was the total cost?​

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The answers would be 480

Covert fractions to percents
3/8=__

Answers

Answer: [tex]\frac{3}{8}[/tex] = 37.5%

Step-by-step explanation:

Convert the fraction into a percentage.

[tex]\frac{3}{8}[/tex] = [tex]\frac{x}{100}[/tex]

Solve for x:

[tex]\frac{3}{8}[/tex] = [tex]\frac{x}{100}[/tex]

3 × 100 = 300300 ÷ 8 = 37.5

x = [tex]\frac{37.5}{100}[/tex] = 37.5%

Answer:

Now we can see that our fraction is 37.5/100, which means that 3/8 as a percentage is 37.5%.

Step-by-step explanation:

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea level, as a function of time is
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Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?

Answers

if h is m above the ocean and your trying to find when the rocket reaches that ocean… as the function gives the height above the ocean at a given time, when the height equals 0 the rocket will have reached the ocean so solve for t when h=0. working out in the photo. i got t=48.88seconds

Slope = -7 and passing through (-4,34)

Answers

if it is asking for point slope form the answer is : y-34=-7(x+4)

if it is asking it in slope intercept form the answer is: y=-7x-62

Please help my son asked me for this and I don't understand it.

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

In the slope-intercept form of the equation of a line,

y = mx + b,

m = slope, and b = y-intercept.

Let's look at Adriana's equation and understand the parts:

y = 2x + 4

y = mx + b

m = slope = 2; b = y-intercept = 4

Now let's look at the description of Henry's equation.

He has the same slope as Adriana, so for Henry, m = 2 also.

His y-intercept is 1 less than Adriana's, so it is 1 less than 4. Henry's y-intercept is 3.

Now that we know that for Henry, m = 2, and b = 3, we can write his equation.

y = mx + b

y = 2x + 3

Answer: y = 2x + 3

Answer:

y=2x+3

Step-by-step explanation:

The answer is gonna be y=2x+3. The 2 is the slope so it needs to stay the same. the 4 in the original equation is the y intercept so to move it one unit lower you just subtract 1 and get your answer

Question 2
Which statement best explains
why the sum of the areas of the
two white squares in Figure 2 is
the same as the area of the white
square in Figure 1?

The combined area of the four triangles is equal to the area of the large white
square.
In each triangle, the length of side a plus the length of side b equals the length
of side c. That means that a? + b2 = c?.
In each figure the total area is equal and the area of the 4 triangles is equal, so
the remaining white area in each figure must also be equal.

Answers

Answer:

the third option

Step-by-step explanation:

that is actually the proof for Pythagoras :

both squares have the total area of (a + b)².

each of the triangles (4 in figure 1, 4 in figure 2) has the same area as the others : a×b/2

so, for figure 1

(a + b)² = 4×a×b/2 + c² = 2×a×b + c²

and for figure 2

(a + b)² = 4×a×b/2 + a² + b² = 2×a×b + a² + b²

2×a×b + c² = 2×a×b + a² + b²

c² = a² + b²

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)

Hello I need help help help help

Answers

X = 28. Hope that helps

x = 16

7 times 2 = 14

8 times 2 = 16

Hope that helped:)

Evaluate. (2a−1/3)÷b/15 when a=−4/5 and b=−2.25 Enter your answer as a simplified mixed number in the box.

Answers

[tex](2a - ⅓) \div \frac{b}{15} \\ (2 \times - \frac{4}{5} ) \div \frac{ - 2.25}{15} \\ - \frac{8}{5} \times \frac{15}{ - 2.25} \\ = \frac{ - 8}{ - 6.75} = \frac{8}{6.75} [/tex]

There were 5 times the number of students in ninth grade at the soccer game. How many students attended the soccer​ game? It dosent tell me the previous number and it only gave me one.

Answers

Answer

I think it is 25

Step-by-step explanation:

5 x 5 = 25 I think

Answer:

We’ll you can not physically or mentally get a answer

Step-by-step explanation:SORRY

what is the greatest number of obtuse angles that a right triangle can contain

Answers

Step-by-step explanation:

i think this is the answer

Answer:

Zero

Step-by-step explanation:

Obtuse angle is the angle greater than 90°.

A right triangle has one 90° and the sum of remaining angles is 90°.

It means a right triangle can't have an obtuse angle.

SOMEONE please help me!!!!!!!!!!!

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Answer:

First is death valley it goes on the bottom, next is New Orleans its after death valley, Next is Washington it goes in the middle, next is Dublin its after Washington, Lastly is Paris it goes on the top

Step-by-step explanation:

simplify √6+3√6 please and thank you

Answers

Answer:

4√6

Step-by-step explanation:

√6 is a common factor on either side of the plus sign.

Therefore you can use the distributive property to get it out as a common factor. If you do not know what the distributive property is, then you can just say that √6 is a common factor.

√6(1 + 3)            Combine the like terms in the brackets.

√6(4)   or

4√6

Answer:

Exact Form: 4√6

Decimal Form: 9.79795897...

Step-by-step explanation:

Please vote brainliest!

what is x over 5 = -3 find x value

Answers

5*-3=-15

x=-15

hope this helps

Answer:

x = -15

Step-by-step explanation:

[tex]\frac{x}{5}=-3~(Given)\\\\5(\frac{x}{5})=5(-3)~(Multiply~5~on~both~sides)\\\\x=-15~(Simplify)[/tex]

Barack is saving up his money to buy a television that costs $395.50. Right now he has $85.00 and can save $29.00 each week. How many weeks will it take for Barack to have enough money to buy the television?

Answers

Answer:

11 weeks

Step-by-step explanation:

Its easy

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