The Sanders' cruise vacation cost them $2,400 last year. This year, they decide to take another cruise vacation which will cost them $2,550. To the nearest percent, what is the percent of increase?

6%

Step-by-step explanation:

Find the percent increase by dividing the difference in costs by the original cost last year, then multiplying it by 100

((2550 - 2400) / 2400) x 100

(150 / 2400) x 100

= 6.25

To the nearest percent, this will round down to 6.

So, the percent of increase is approximately 6%

i assume that by 5 you mean 5 gallons.

(20)(0.25) = 15

removing 15 gallons reduces the tank from 20 to 5.

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."