Unit rate in this case would be pages per minute so divide (5/8)pages÷(2/3)minute.
Dividing a fraction can be done as multiplying by the reciprocal.
(5/8)·(3/2)=15/16pages per minute or 0.9375 pages/min.
Answer: 160
Step-by-step explanation:
Answer:
C) The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).
Step-by-step explanation:
The axis of symmetry is x = − b/2a
= -(-3) / 2(-1)
= 3/(-2)
= -1.5
the vertex => x = -1.5
y= -(-1.5)²-3(-1.5)+6 =
-2.25 +4.5+6= 8.25
Answer:
1/4 cup of oil for every 1 cup of water
Step-by-step explanation:
Lets take a look at the information given in the question
The recipe requires 1/8 cup of oil for every 1/2 cup of water.
We know that 1/2 + 1/2 is 1/1, or just 1 simplified
So if we are doubling the amount of water in the recipe, we have to do the same to the oil.
1/8 + 1/8 = 2/8, or 1/4 simplified
So the answer is 1/4 cup of oil to every 1 cup of water
(a) Profit equation
Profit = revenue - cost
unit profit = revenue per unit - cost per unit = 16-7.3=8.7
profit
p(x) = (unit profit)*x=8.7x
(b) profit over time
sales,
x(t) = 1000 * (100 * (ln(t^2+87)+48.8)
=100000 ln(t^2+0.87)+48800
profit,
P(t)
=p(x(t))-5200000
=p(100000 ln(t^2+0.87)+48800)-5200000
=8.7(100000 ln(t^2+0.87)+48800)-5200000
=870000*ln((t^2+0.87))-4775440
(c)
Break even quantity is when p(x)-5200000=0,
solving,
8.7x-5200000=0 =>
x=5200000/8.7
=597701.1
=597702 (rounded to next integer)
(d)
Time t to reach break even is when
P(t)=0
or
solve for t in
870000*ln((t^2+0.87))-4775440=0
ln(t^2+0.87)=4775440/870000=5.489
raise powers to base of e
t^2+0.87=e^(5.489)=242.018
t=sqrt(242.018-0.87)=15.53 months.
