According to the annual Summer Vacation Survey conducted by Myvesta, a nonprofit consumer education organization, the average summer vacation costs $2252. If $1650 of this amount is charged on a credit card, what percent of the vacation cost is charged?

The answer is : 73.3% (to 1 decimal place)

Step-by-step explanation:

The question is asking us to convert the proportion of a certain amount into percentage, and this is done as shown below:

vacation cost = $2252

amount charged = $1650

%of vacation cost that was charged = X%

∴ X% of 2252 = 1650

× 2252 = 1652

2252X = 165000 (dividing both sides by 2252)

∴ X = 165000 ÷ 2252

X = 73.3%

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

im guessing (23,14). hope this : )