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3 years ago

An expansion is a phase in the economic cycle that is characterized by

Mathematics

1 answer:

Dvinal [7]3 years ago

3 0

Answer:

An expansion is characterized by increasing employment, economic growth, and upward pressure on prices.

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Ace Truck leases its 10-ft box truck at $20/day and $0.50/mi, whereas Acme Truck leases a similar truck at $15/day and $0.55/mi.

Masja [62]

Answer:

a) $f(x) = 0.5 \frac{dollars}{day} x + 20$

$g(x) = 0.55 \frac{dollars}{mi} x + 15$

b) $f(70)=0.5*70 +20 =55$

$g(70)= 0.55*70 + 15 =53.5$

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:

$f(x) = 0.5 \frac{dollars}{day} x + 20$

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:

$g(x) = 0.55 \frac{dollars}{mi} x + 15$

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:

$f(70)=0.5*70 +20 =55$

$g(70)= 0.55*70 + 15 =53.5$

If we want to minimize the cost then we should rent the Acme Truck company.

7 0

3 years ago

How do u solve this5/6×3

ELEN [110]

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

4 0

4 years ago

The population of a heard of cattle numbered was 5000 to begin with and was 10,000 after 10 years. If the population was growing

Lapatulllka [165]

Answer:

$r=0.0718$ . 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:

$f(t)=A(1+r)^t$

where

$f(t)$ is the final population after $t$ years

$A$ is the initial population

$r$ is the growth rate in decimal form

$t$ 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 $A=5000$ , $f(t)=10000$ , and $t=10$ .

Let's replace the values and solve for $r$ :

$f(t)=A(1+r)^t$

$10000=5000(1+r)^{10}$

Divide both sides by 5000

$\frac{10000}{5000} =(1+r)^{10}$

$2=(1+r)^{10}$

Take root of 10 to both sides

$\sqrt[10]{2} =\sqrt[10]{(1+r)^{10}}$

$\sqrt[10]{2} =1+r$

Subtract 1 from both sides

$\sqrt[10]{2}-1=r$

$r=\sqrt[10]{2}-1$

$r=1.0718-1$

$r=0.0718$

We can conclude that the growth rate of our exponential equation is $r=0.0718$ . The closest value from your given choices is C)r=0.69

3 0

4 years ago

It takes Karl 6 hours to drive 372 miles. If he drives at a constant speed during the 6 hours, what is his unit rate? At this ra

skelet666 [1.2K]

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

6 0

3 years ago

Help. Fully explain plz

frozen [14]

110/55 is what u get if u add them all up

7 0

3 years ago

Read 2 more answers