116875 = (x / 100) * 125000
116875 = x * 125000 / 100
116875 = 1250x (The zeros get cancelled)
Therefore, x = 116875/1250 = 187/2 = 93.5%
whatever% of anything is just (whatever/100) * anything.
so the socket set has a 40% off, what is 40% of 36? well, is just (40/100) * 36, or 14.4, that's the discount, so the sale price is 36 - 14.4, or 21.6.
plus the 8.25% taxation, what is 8.25% of 21.6? well, is just (8.25/100) * 21.6, or 1.782.
so the total price is 21.6 + 1.782, or 23.382, or about 23 bucks and 38 cents.
Explain
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Step by step solutions
For part A: you will get 3 linear factors (as the degree of the polynomial is 3). perform the division using (x-1) as your known factor and you will get (x-1)(2x²+11x+15). you can then factor the (2x²+11x+15) to get 2x^3 + 9x^2 + 4x - 15 = (x-1)(2x+5)(x+3)
for part B: since 2x+5 will provide the greatest value (assuming x>0) of the 3 factors, then 2x+5=13. solve to get x=4. if x is 4, then the dimensions are 3'x13'x7' [just sub 4 into the x's for each factor]
for part C: as to the graphing calculator, I don't have one. However, if you solve each linear factor for when it is 0, those values will be the x-intercepts. So your graph should cross the x-asix at 1, -5/2, and -3
