Answer:
A: cost = 10+x; customers = 16-2x
B: -2x² -4x +160 ≥ 130
Step-by-step explanation:
In these price and revenue optimization problems, the relation between price and sales is given in the problem statement. After that is translated to math terms, the revenue as the product of price and sales can be determined.
<h3>Part A</h3>
The variable x is defined as the number of $1 increases from a price of $10. That means ...
Cost = 10 +x
For each $1 increase, the number of customers decreases by 2 from a starting value of 16:
Customers = 16 -2x
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<h3>Part B</h3>
The problem statement tells you the revenue (per hour) is the product of cost and number of customers. The owner wants this to be at least 130:
(Cost)(Customers) ≥ 130
(10 +x)(16 -2x) ≥ 130
160 -20x +16x -2x² ≥ 130 . . . . eliminate parentheses
-2x² -4x +160 ≥ 130 . . . . . . . . . put in required standard form
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<em>Additional comment</em>
The attached graph shows the solution to this quadratic inequality is ...
-5 ≤ x ≤ 3
and that revenue can be increased by $2 per hour by decreasing cost $1 (x=-1).
The area would be 78.
perimeter would be 38. hope that helped
Step-by-step explanation:
First we find the interest at the end of the first year.
Principal = #600
Rate = 3%
Time = 1 year
Interest =
= #18
Amount = #618 at the end of the first year
Now at the end of the second year.
Principal now = #618
Rate now = 2%
Time = 1 year
Interest =
= #12.36
Amount = #630.36 at the end of the second year
10(4x+3)-9x
40x+30-9x
31x+30
I think the answer is A
Answer:
d: 21%
Step-by-step explanation:
1. add 180+135+105+80=500 total
2. then find the percent of 105 from 500 (Determine the total or whole amount.
Divide the number to be expressed as a percent by the total. In most cases, you'll divide the smaller number by the larger number.
Multiple the resulting value by 100.)
you get an answer of 21%
21% of students chose snowboarding as their favorite sport.