Sure, let me help you on this one!
We are starting with a value of $20,000.
We will experience a 10% price drop in the first five years (2*5)
20,000 times 0.90 equals to 18,000
$18,000 dollars after five years.
We will also experience a 12.5% the following five years.
18,000 times 0.875 equals to 15,750.
The answer to this question is $15,750.
I don't usually do calculus on Brainly and I'm pretty rusty but this looked interesting.
We have to turn K into the limits of integration on our integrals.
Clearly 0 is the lower limit for all three of x, y and z.
Now we have to incorporate
x+y+z ≤ 1
Let's do the outer integral over x. It can go the full range from 0 to 1 without violating the constraint. So the upper limit on the outer integral is 1.
Next integral is over y. y ≤ 1-x-z. We haven't worried about z yet; we have to conservatively consider it zero here for the full range of y. So the upper limit on the middle integration is 1-x, the maximum possible value of y given x.
Similarly the inner integral goes from z=0 to z=1-x-y
We've transformed our integral into the more tractable

For the inner integral we get to treat x like a constant.

Let's expand that as a polynomial in y for the next integration,

The middle integration is



Expanding, that's

so our outer integral is

That one's easy enough that we can skip some steps; we'll integrate and plug in x=1 at the same time for our answer (the x=0 part doesn't contribute).


That's a surprise. You might want to check it.
Answer: 0
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➷ You may have forgotten to add the options
However, you can collect like terms
In other words, collect the 'x' values and collect the numbers
5x + 18x = 23x
-12 - 4 = -16
Thus, your answer would be 23x - 16.
Any further questions, let me know.
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➶ Hope This Helps You!
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