Answer:
0.25 feet per minute
Step-by-step explanation:
Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.
Since base diameter = Height of the Cone
Radius of the Cone = h/2
Therefore,
Therefore:
We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.
When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute
Answer:
D. 3
Step-by-step explanation:
√36 = 6
√4 = 2
√36/√4 = 6/2 = 3
D. 3
Let x be the number of bags of Nature's Recipe Venison Meal & Rice Canine 20 percent protein, y be the number of bags of Nutro Max Natural Dog Food 27 percent protein and z be the number of bags of PetSmart Premier Oven Baked Lamb 25 percent protein a dog breeder buys. He wants to make 300 pounds of a mix. Then
20x+17.5y+30z=300.
Now
- in 20x pounds of Nature's Recipe Venison Meal & Rice Canine 20 percent protein is 0.2·20x=4x pounds of protein;
- in 17.5y pounds of Nutro Max Natural Dog Food 27 percent protein is 0.27·17.5y=4.725y pounds of protein;
- in 30z pounds of PetSmart Premier Oven Baked Lamb 25 percent protein is 0.25·30z=7.5z pounds of protein;
- in 300 pounds of mix containing 22 percent protein is 0.22·300=66 pounds of protein.
Then 4x+4.725y+7.5z=66.
You get a system
From the first equation Substitute it into the second equation:
Simplify it:
y must be divided by 20, then
- y=0, x=9, z=10-6=4;
- y=20, x=16, z is not a whole number;
- y=40, x=23, z is not a whole number;
- y=60, x=30, z=10-20-35<0;
- thus, all other possible z will be <0.
Answer: 9 bags with 1st mix, 0 bags with 2nd mix and 4 bags with 3rd mix.
A) The amount financed is the purchase amount less the down payment.
$2,574.54 -574.54 = $2000.00
B) The finance charge is the total of payments less the amount financed.
18*$121.00 -2000.00 = $178.00
C) The APR is calculated by a financial calculator to be 10.96%.
Answer: For a is 19/15 or 1 4/15
for b I have no clue
Step-by-step explanation: add 3/5 and 2/3
you will get 19/15. In mixed fraction is 1 4/15