A leather costing $199.99 is placed on sale at a discount of 20%. At the end of the sale, the sale price is increased by 20%. At the next sale; the new price is again discounted by 20%. Later, the sale price was increased by 20%. What is the difference between the original price and the final price? please answer correctly (full answers)

$15.679216

Step-by-step explanation:

new sp = 80% of cp

= 0.8 x 199.99

= 159.992

new sp2 = 120% of cp2

= 1.2 x 159.992

÷ 191.9904

new sp3 = 80% of cp3

= 0.8 x 191.9904

= 153.59232

new sp4 = 120% of cp4

= 1.2 x 153.59232

= 184.310784

difference = 199.99 - 184.310784

=15.679216

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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