Answer:
0.857 weeks
Step-by-step explanation:
Using the information provided we can create the following equations for the total amount Mallory (M) and Aimee (A) will save after x number of weeks...
M = 35 + 15x
A = 5 + 50x
Now we would need to make both of these equations equal one another and solve for x to calculate after how many week both Aimee and Mallory will have saved the same amount of money
35 + 15x = 5 + 50x ... subtract 5 and 15x from both sides
30 = 35x ... divide both sides by 35
or 0.857 = x
Finally, we can see that after 0.857 weeks both Mallory and Aimee will have saved the same amount of money.
*** The process provided is correct but I believe that the actual values for Aimees savings should be $50 and plans to save $5 a week, this would make the final result 1.5 weeks which would make more sense***
Answer:
32cm³
Step-by-step explanation:
the volume of a cone is
V
=
π
r
2
h
3
in this case, we can relate
h
and
r
as we know that the slope =
h
r
=
10
5
=
2
we can make the volume a formula in a single variable
V
=
π
(
h
2
)
2
h
3
=
π
h
3
12
differentiating wrt time, it follows that
.
V
=
3
π
h
2
.
h
12
=
π
h
2
.
h
4
so to address the question
.
V
=
π
8
2
⋅
2
4
=
32
π
c
m
3
/ sec
The last time David filled up his truck with gas, he paid $27.44 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?
(a) With a unit rate of 8, repeated (iterated) 72 times, we can simply multiply 8 by 72 to get the net change: 8 × 72 = 576 fish.
(b) For the unit rate (i.e. rate of change per time - minutes in this case) we can simply divide the total water pumped out by the total time it took to perform this. So: 48 ÷ 8 = 6 gallons/min.
Hope I could help you! :)
Let C equal bags of cookies
Let M equal money earned
2.75c=m
Probably not enough sorry if it isn't
