Will is selling T-shirts for $15 and sweatshirts for $20 at the basketball game. Wills club team needs to raise over $200 for th
e upcoming tournament. Sketch graph that will represent both number of T-shirts and sweatshirts he must sell to reach his goal?
1 answer:
Answer:
X = 0 4 8 12
Y = 10 7 4 1
Step-by-step explanation:
Given:
Cost of one T shirt = $15
Cost of one sweater = $ 20
To find :
The graph that will represent both number of T-shirts and sweatshirts = ?
Solution:
Let the number of t-shirts be x
The number of sweaters be y
They want to rise a found of $200
Then the equation to represent this situation is
15x + 20y = 200
By trial and error method
15(12) + 20(1) = 200
15(8) + 20(4) = 200
15(0) + 20(10) = 200
15(4) + 20(7) = 200
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I don't usually do calculus on Brainly and I'm pretty rusty but this looked interesting.
We have to turn K into the limits of integration on our integrals.
Clearly 0 is the lower limit for all three of x, y and z.
Now we have to incorporate
x+y+z ≤ 1
Let's do the outer integral over x. It can go the full range from 0 to 1 without violating the constraint. So the upper limit on the outer integral is 1.
Next integral is over y. y ≤ 1-x-z. We haven't worried about z yet; we have to conservatively consider it zero here for the full range of y. So the upper limit on the middle integration is 1-x, the maximum possible value of y given x.
Similarly the inner integral goes from z=0 to z=1-x-y
We've transformed our integral into the more tractable
For the inner integral we get to treat x like a constant.
Let's expand that as a polynomial in y for the next integration,
The middle integration is
Expanding, that's
so our outer integral is
That one's easy enough that we can skip some steps; we'll integrate and plug in x=1 at the same time for our answer (the x=0 part doesn't contribute).
That's a surprise. You might want to check it.
Answer: 0
Answer:
Short-Term investment: 5000$
Intermediate-Term investment: 65000$
Long-Term investment: 30000$
Step-by-step explanation:
To construct our first equation lets define sort-term bond investment as x, long-term investment as y.
So the equation is:
From the equation it is found that:
Instead of y, if we put 25000+x the equation will be as following:
From the equation it is found that:
Short-Term investment is 5000$
Long-Term investment is 30000$
Rest of the money is Intermediate-Term investment 65000$