Answer:
After 6 minutes the tub will be 30% full
Step-by-step explanation:
Step 1
Determine the total volume that will be filled by the faucet at time (t) using the expression below;
V=R×T
where;
V=total volume
R=flow rate, gallons per minute
T=time in minutes
In our case;
V=unknown
R=4 gallons per minute
T=6 minutes
replacing;
V=4×6=24 gallons
Total volume filled after 6 minutes=24 gallons
Step 2
Determine the percentage volume of the tab that will be filled after 6 minutes using the expression;
percentage volume=(volume filled after 6 minutes/total volume)×100
where;
volume filled after 6 minutes=24 gallons
total volume=80 gallons
replacing;
percentage volume=(24/80)×100=30%
After 6 minutes the tub will be 30% full
Perpendicular Bisector Theorem
Answer:
n=-4/3
Step-by-step explanation:
So the equation is -2/3n+7=15
First you subtract 7 from both sides: -2/3n+7-7=15-7 : -2/3n=8
Next multiply by 1/-2 on both sides, canceling out the -2 on the left and dividing 8 by -2 on the right: 3n=-4
Next divide by 3 on both sides
Answer: n=-4/3
Answer:
Step-by-step explanation:
Natsano can satisfy his constraints by investing the first $20,000 in Company A, then splitting the remaining $35,000 evenly between the companies. For best return, he needs to invest as much as possible in Company B, but each such dollar (after the first 20k) must be matched by a dollar invested in Company A. That is, his investments should be ...
- Company A: $37,500
- Company B: $17,500
_____
The attached graph shows the feasible region of investments (doubly shaded). The vertex that maximizes the objective function (return on investment) is the one highlighted. (It puts the objective function line as far as possible from the origin.)
_____
Sometimes graphing the constraints is more work than necessary if there is some simple logic that quickly identifies the solution.