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puteri [66]
3 years ago
12

If Callum is consuming his utility maximizing bundle and the price of one good rises, what happens to the marginal utility per d

ollar spent on this good (MU/P), and what should Callum do?
Mathematics
1 answer:
monitta3 years ago
8 0

Answer:

MU/P has decreased and Callum should buy less of the good.

Step-by-step explanation:

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Worker A finishes the job in 10 hours; worker B finishes it in 12 hours, and worker C finishes it in 15 hours.
nika2105 [10]
A=1/10, b=1/12, c=1/15  (these are the rates for each worker...)

1.)

2(1/10)+4(1/12)+t/15=1

1/5+1/3+t/15=1

(3+5+t)/15=1

3+5+t=15

8+t=15

t=7

So it would take c 7 hours to finish the job.

2.)

1/40-1/60

(3-2)/120

1/120

The drain rate is 1/60.  So you will need to find t when the tank is empty, while starting at 2/3 capacity...

2/3-t/60=0

(40-t)/60=0

40-t=0

t=40

It would take 40 minutes to empty the tank when it is 2/3 full.
5 0
4 years ago
The lateral area of the prism is 240 square inches. Find the total surface area.​
e-lub [12.9K]

Answer:

Its C, 288 square inches

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
One month Ravi rented4 movies and8video games for a total of $57 The next month he rented2 movies and3 video games for a total o
e-lub [12.9K]

SOLUTION

Given the question in the question tab, the following are the solution steps to get the rental cost for each movie and each video game.

Step 1: Write the representation for the two rentals

Let m represents movies

Let v represent video games

Step 2: Write the statements in form of a mathematical equation

\begin{gathered} \text{Month 1: }4m+8v=57 \\ \text{Month 2: }2m+3v=23 \end{gathered}

Step 3: Solve the equations above simultaneously using elimination method to get the values of m and v

\begin{gathered} 4m+8v=57----(1) \\ 2m+3v=23----(2) \\ \text{ multiply equation 1 by 2 and equation 2 by }4 \\ 8m+16v=114----(3) \\ 8m+12v=92----(4) \\ \text{subtract equation (4) from equation (3)} \\ 4v=22 \\ v=\frac{22}{4}=5.5 \\ \text{Substitute 5.5 for v in equation 1 to get the value of m} \\ 4m+8v=57 \\ 4m+8(5.5)=57 \\ 4m+44=57 \\ 4m=57-44=13 \\ m=\frac{13}{4}=3.25 \\ m=\text{\$}3.25,v=\text{\$}5.50 \end{gathered}

Rental cost for each movies is $3.25

Rental cost for each video games $5.50

8 0
2 years ago
Graph the equation F(x)=(1/3)^x
scoray [572]

The value of a=9,b=3 and c=1

Step-by-step explanation:

The graph shown is for function f(x)

The given function is f(x)=(\frac{1}{3}) ^{x}

Table says,

X      Y

-2      a

1        b

0       c

1     (1/3)

2    (1/9)

To find value of a:

From table, for output value a, input value, x=(-2)

we can write f(-2)=a

Therefore,

f(x)=(\frac{1}{3}) ^{x}

f(-2)=(\frac{1}{3}) ^{(-2)}

a=(\frac{1}{3^{(-2)}})

a=3^{(2)}

a=9

To find value of b:

From table, for output value a, input value, x=(-1)

we can write f(-1)=b

Therefore,

f(x)=(\frac{1}{3}) ^{x}

f(-1)=(\frac{1}{3}) ^{(-1)}

b=(\frac{1}{3^{(-1)}})

b=3^{(1)}

b=3

To find value of c:

From table, for output value a, input value, x=(0)

we can write f(0)=c

Therefore,

f(x)=(\frac{1}{3}) ^{x}

f(0)=(\frac{1}{3}) ^{(0)}

c=(\frac{1}{3^{(0)}})

c=1

5 0
3 years ago
What role did monasteries play in the spread of Christianity? Choose three correct answers.
Daniel [21]

Answer:

They educated people. They cared for sick villagers. They helped feed people who lived in poverty.

Step-by-step explanation:

I just got it correct.

Hope this helps! ^^

Sorry that I probably didn't help you in time!

8 0
3 years ago
Read 2 more answers
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