Answer:
a) 

b) 

If we want to minimize the cost then we should rent the Acme Truck company.
Step-by-step explanation:
Assuming the following questions.
(a) Find the daily cost of leasing from each company as a function of the number of miles driven and sketch the graph of these functions.
For the Ace truck we know that leases its 10-ft box truck at $20/day and $0.50/mi. So then f(x) representing the daily cost is given by:

Where x represent the number of miles driven
For the Acme Truck we know that leases a similar truck at $15/day and $0.55/mi, so then the g*x( representing daily cost would be given by:

Where x represent the miles driven.
We can see the plot on the figure attached.
(b) Which company should you rent a truck from for 1 day if you plan to drive 70 miles and wish to minimize cost?
If we replace the value x=70 for both functions we got:


If we want to minimize the cost then we should rent the Acme Truck company.
Answer:
5/2
Step-by-step explanation:
5/6 * 3
Reduce the numbers with the greatest common divisor which is 3 since it goes in to both 6 and 3
6/3=2
5/2
Answer:
. The closest value from your given choices is C)r=0.69
Step-by-step explanation:
To solve this we are using the standard exponential growth equation:

where
is the final population after
years
is the initial population
is the growth rate in decimal form
is the time in years
We know from our problem that the initial population is 5000, the final population is 10000, and the time is 10 years, so
,
, and
.
Let's replace the values and solve for
:


Divide both sides by 5000


Take root of 10 to both sides
![\sqrt[10]{2} =\sqrt[10]{(1+r)^{10}}](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B2%7D%20%3D%5Csqrt%5B10%5D%7B%281%2Br%29%5E%7B10%7D%7D)
![\sqrt[10]{2} =1+r](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B2%7D%20%3D1%2Br)
Subtract 1 from both sides
![\sqrt[10]{2}-1=r](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B2%7D-1%3Dr)
![r=\sqrt[10]{2}-1](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B10%5D%7B2%7D-1)


We can conclude that the growth rate of our exponential equation is
. The closest value from your given choices is C)r=0.69
Use the equation speed equals distance over time.
s=372/6
=62mi/hr
Use the equation distance equals speed times time.
d=62*8
=496mi in 8 hours
110/55 is what u get if u add them all up