Answer/Step-by-step explanation:
STATEMENT ====> REASONS
1. m<AOB = 180° ==> 1. Definition of straight angle
2. m<AOF + m<FOG + m<GOB = m<AOB ==> 2. Angle Addition Postulate
3. (5x - 15)° + 90° + 2x = 180° ==> 3. Substitution
4. Solve as algebra to get x
5x - 15 + 90 + 2x = 180
Collect like terms
5x + 2x - 15 + 90 = 180
7x + 75 = 180
Subtract 75 from both sides
7x + 75 - 75= 180 - 75
7x = 105
Divide both sides by 7
7x/7 = 105/7
x = 15 ===> 4. Algebra
<span>Let x = dollar increase in price
Let y = fewer number of pairs sold
Since 2 fewer shoes are sold for each 1 dollar (factor of 2)
y = 2x
Revenue = Number of shoes sold * Price charged per shoe
Number of shoes sold = 200 - y = 200 - 2x
Price charged per shoe = $60 + $x
Revenue = (200 - 2x)(60 + x) = -2x^2 + 200x - 120x + 12000
Revenue = -2x^2 + 80x + 12000
In a quadratic equation, Revenue is maximized when x = -b / 2a. In this case:
x - -80 / (2*-2) = $20
Price charged per show = $60 + $x = $60 + $20 = $80.
Maximum revenue = -2x^2 + 80x + 12000 (evaluated at x = $20)
Maximum revenue = -2(20^2) + 80*20 + 12000 = $12800</span>
Answer:21
Step-by-step explanation:
It would be: 80/20 = 4
so, she requires 4 boxes.
Multiply the interest rates by 100 then multiply that by the principle after multiplying by the principle, just add the value to the principle
This means that you are calculating how many dollars is 2.4 percent of 900 dollars