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fenix001 [56]
3 years ago
13

Alisha has a $15,000 car loan with a 6 percent interest rate that is compounded annually. How much will she have paid at the end

of the five-year loan term?
total amount = P (1 + i)t



$19,500.25



$15,900.50



$20,073.50
Mathematics
2 answers:
svet-max [94.6K]3 years ago
6 0

Answer:

Option 3 - $20,073.50

Step-by-step explanation:

Given : Alisha has a $15,000 car loan with a 6 percent interest rate that is compounded annually.

To find : How much will she have paid at the end of the five-year loan term?

Solution :

The formula used to find the amount is A=P(1+i)^t

Where, P is the principal P=$15000

r is the rate r=6%

i = 0.06

t is the time t=5 year

Substitute the value in the formula,

A=15000(1+0.06)^5

A=15000(1.06)^5

A=15000(1.338)

A=20073.38

Therefore, The total amount she paid is $20073.38.

So, Option 3 is correct.

jolli1 [7]3 years ago
3 0
It is $15,900.50 because it says 15,000 car loan with a 6 percent rate.
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Answer:

a

Step-by-step explanation:

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8 0
3 years ago
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What are the quotient and remainder of (x^5-x^3+-5) divided by (x-2)
pishuonlain [190]

Answer:

x⁴+2x³ +3x²+6x +12 r. \dfrac{19}{x-2}

Step-by-step explanation:

You can do this through synthetic division. It is a shorthand way of dividing polynomials.

First you need to make your divisor equal to zero so you can solve for what goes into the division box:

x - 2 = 0 →     x = 2

The next step is to arrange your polynomials in descending powers. All missing terms, you will put in a zero.

x⁵ - x³ + (-5)   →  x⁵ + 0x⁴- x³ + 0x² + 0x + (-5)

Now you can proceed to synthetic division. Make an upside down division box with the divisor outside and the coefficients of the dividend listed, along with their sign. Leave a space below the divident

+2 |   +1     0     -1     0     0     -5

    |<u>                                              </u>

Next you bring down the first coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>                                              </u>

        +1    

Then you multiply it by the divisor and write the product under the next coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>           +2                                   </u>

        +1    

Next add the column and put the sum below it:

+2 |   +1     0     -1     0     0     -5

    |<u>          +2                                   </u>

        +1    +2

Then multiply again and repeat until you reach the last coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>          +2    +4   +6   +12   +24 </u>

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Now that you have your results, add  in the x and their powers. The powers will start with the highest power but 1 less than the dividend. Since the dividend's highest power is 5, then the quotient's highest power will be 4. Then write it in descending order :

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Now the last coefficient is your remainder. So your results will be:

x⁴+2x³ +3x²+6x +12 r. \dfrac{19}{x-2}

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Answer:

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