Stephen has been saving money to buy a new car. the new car costs $19,820.00. he has to pay 17.25% in taxes based off the cost of the car. if he also purchases an extended warranty for $1,100.00, what is a reasonable estimate for the total price of the car?

Total cost =$24338.95

Step-by-step explanation:

The new car costs $19,820.00.

He has to pay 17.25% in taxes based off the cost of the car. This means 17.25% of $19,820.00

=(17.25/100)×19,820.00

=0.1725 ×19820.00 = $3418.95

Cost of taxes = $3418.95

If he also purchases an extended warranty for $1,100.00

Cost of taxes plus extended warranty

= $3418.95 + $1,100.00 = $4518.95

what is a reasonable estimate for the total price of the car? This means the actual cost of the new car + Cost of taxes + cost of extended warranty.

Total cost = $19,820.00 +$3418.95 + $1,100.00= $24338.95

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

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step-by-step explanation: