9514 1404 393
Answer:
- decay
- decay
- growth
Step-by-step explanation:
If the base of a positive exponential is greater than 1, the function is a growth function. If it is less than 1, the function decays.
Remember that a^-1 = 1/a, so a negative exponential can be transformed to a positive one.
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1. y = 2(11/5)^-x = 2(5/11)^x . . . . 5/11 < 1, so decay
2. y = e^(-2x) = (1/e^2)^x . . . . 1/e^2 < 1, so decay
3. y = 1/4e^x . . . . e > 1, so growth
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e ≈ 2.71828 . . . an irrational number
Answer:
<em>Part A: </em>
<em>c = 1.15p</em>
<em>c(2) = $2.30</em>
<em>Part B: </em>
<em>c = 0.90p</em>
Part B:
Step-by-step explanation:
<u>Linear Models</u>
Candy's Sweets Company charges $1.15 per pound to ship candy. This represents a proportional relationship between the pounds of candy and the cost.
Part A: If each pound costs $1.15, then p pounds cost $1.15p. Then the equation of the cost c is:
c = 1.15p
The cost of shipping p=2 pounds of candy is:
c = 1.15*2 = 2.30
c = $2.30
Part B: When the company reduces the cost by $0.25 per pound, the new unit cost is $1.15 - $0.25 = $0.90 per pound.
The new equation to determine the total cost for p pounds of candy is:
c = 0.90p
Answer:
A≈615.75m²
Step-by-step explanation:
Solution
A=4πr2=4·π·72≈615.75216m²
Hope this helped!!!
Answer:
12/7 hours
Step-by-step explanation:
First find the rate for hour for the two. For Lianne she can do 1/3 of the job per hour. For Julie she can do 1/4 of the job per hour.
Adding them together, 1/3+1/4= 7/12.
This 7/12 means that working together they can finish 7/12 of a job in an hour. We can use the speed*time=distance formula here and see that
7/12 * time = 1 job done
time = 12/7 hours.
If you were supposed to find 40% of $24,850 then the answer would be $9940.