Answer:
Step-by-step explanation:
Presuming represents the length of the box (which you should have specified), your volume function:
is correct.
V(x)=-x^3+33x^2-90x=0
Obviously, in order to have a box, all three dimensions must be positive numbers.
Since the height is 3 less than the length, the length must be greater than 3 so that the height will be greater than zero. Since the sum of length and width is 30, the length must be less than 30. Hence, the possible range of values for is
If you know enough calculus to be able to take the derivative of this function, set the first derivative equal to zero and solve. You will obtain two possible extrema. Only one of these extrema will lie in the the acceptable range of values,
If you don't know the Calculus, then the best you can do is to graph the function and eyeball it.
No, 3+13>14. If it were a right triangle both sides would be equal
4 1/2 is the exact answer. 5 is the estimate.
Given that the cost of b burgers and h hot dogs is given by 3.25b + 2h.
Therefore, the cost of 4 burgers and 6 hot dogs is given by 3.25(4) + 2(6) = 13 + 12 = $25.
Answer:
Better deal will be to take money after one year because there will be a profit of $1400 - $1060 = $340
Step-by-step explanation:
It is given that there is two option either you take $1400 after one year or $100 now
It is given that you can invest $1000 at a rate of 6% interest
So interest in one year 
So amount after 1 year = $1000+$60 = $1060
So better deal will be to take money after one year because there will be a profit of $1400 - $1060 = $340
