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alexgriva [62]
3 years ago
14

What is the opportunity cost (in civilian output) of a defense buildup that raises military spending from 4.1 to 4.5 percent of

a $7 trillion economy?
Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0
In economics and investments, opportunity cost is the amount of money that a company could have gained, but lost because they took another course of action. This is especially applicable to situations wherein a company decides on which of the two events they would choose.

In other words, opportunity cost can be the net gain or loss that a company obtains when upon getting to the decision. Suppose, we chose a spending of 4.5%, the opportunity cost would be:

Opportunity cost = <span>$7 trillion (4.5% - 4.1%)
Opportunity cost = $7 trillion(0.004)
Opportunity cost = $0.028 trillion or $28 billion

Therefore, the opportunity cost is $28 billion.</span>
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3 years ago
Suppose a tank contains 400 gallons of salt water. If pure water flows into the tank at the rate of 7 gallons per minute and the
Strike441 [17]

Answer:

Step-by-step explanation:

This is a differential equation problem most easily solved with an exponential decay equation of the form

y=Ce^{kt}. We know that the initial amount of salt in the tank is 28 pounds, so

C = 28. Now we just need to find k.

The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is \frac{dy}{dt}. Thus, the change in the concentration of salt is found in

\frac{dy}{dt}= inflow of salt - outflow of salt

Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:

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