Answer:
- 10+x
- 16-2x
- -2x^2 -4x +160 ≥ 130
- $12 or $13
- $3
Step-by-step explanation:
If x represents the number of $1 increases from $10 in the cost of the buffet, then the cost per customer is ...
c(x) = 10 +x
If n represents the number of customers for a given number of $1 increases (x), then we have ...
n(x) = 16 -2x
The revenue will be the product of these:
r(x) = c(x)n(x) = (10 +x)(16 -2x)
r(x) = -2x^2 -4x +160
Then the desired inequality is ...
r(x) ≥ 130
-2x^2 -4x +160 ≥ 130
The solution to this is ...
-2x^2 -4x +30 ≥ 0 . . . .subtract 130
x^2 +2x -15 ≤ 0 . . . . . . divide by -2
(x +5)(x -3) ≤ 0
The factors both have the same sign (hence a positive product) for x < -5 or x > 3. One of them is negative in the interval (-5, 3), so that is the solution to the inequality.
-5 ≤ x ≤ 3
Noah could charge $12 or $13 and maintain his revenue.
The maximum possible increase that maintains Noah's revenue is $3. This is the upper end of the solution space for the inequality.
Answer:
$135
Step-by-step explanation:
What you do is you just times them all together.
$3,000*.09*.05=$135 amount of interest charged.
The <u>Pie Chart</u> is the best type of chart that could be used to represent the distribution of this data.
<h3>What is a Pie Chart?</h3>
A pie chart is a type of circular statistical graph used for the representation of a data set. The graph's segments are proportionate to the percentage of the total in each group.
However, the proportion of each portion of the pie chart is proportional to the number of the group as a whole.
- The full pie chart represents 100% of the whole, whereas
- The pie portion represents sections of the total.
Therefore, from the given information contains many data sets, each data can be represented in each portion to make a full Pie Chart.
Learn more about Pie Chart here:
brainly.com/question/25796636