Answer:
Step-by What is the domain and range of the function y = xn if n is an odd whole number? if n is an even whole number?-step explanation:
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item.
<u>The net income formula:</u>
y= (5 - 4)x - 120
(5-4)= contribution margin per unit sold (x)
120= fixed costs
<u>To calculate the break-even point in units, we need to use the following formula:</u>
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 120 / 1
Break-even point in units= 120 units
Prove:
y= 1*120 - 120
y= 0
Answer: 0.0476
Step-by-step explanation:
Given : Two friends and 5 other people compete with each other for first and second chair in an orchestra.
Total people in this competition= 2+5=7
By permutation , Number of ways to arrange 7 people= 7!
Also, number of ways for two friends end up as first and second chair together= 2 × 5! [ 2 ways to arrange friends on first and second chair and 5! ways to arrange others]
I.e. Required probability = 

Hence, the probability that the two friends end up as first and second chair together = 0.0476
Answer:
$1,616.91
Step-by-step explanation:
Data provided in the question:
Total distance to be driven = 22,000 miles
Average of hybrid = 38 mpg
Thus,
total fuel required by hybrid to travel 22,000 miles = 
= 578.95 gallons
and,
Average of SUV = 21 mpg
total fuel required by SUV to travel 22,000 miles = 
= 1047.62 gallons
Therefore,
savings in fuel = 1047.62 gallons - 578.95 gallons = 468.67 gallons
Thus,
the savings in fuel expenses = Savings in fuel × Cost of gas
= 468.67 × 3.45
= $1,616.91