Answer:
Option c is correct
226 feet is the maximum height of the projectile.
Step-by-step explanation:
A quadratic equation , ....[1]
then the axis of symmetry is given by:
As per the statement:
The path of the projectile is modeled using the equation :
....[2]
where, h(t) is the height after t time.
On comparing with [1] we have;
a = -16 and b = 48
then;
sec
Substitute this in [2] we have;
⇒
Simplify:
Therefore, the maximum height of the projectile at 1.5 sec is, 226 feet.
Answer:
The probability that the ball drawn from the second box is red is 40/99
Step-by-step explanation:
We can divide the event that the second ball drawn is red into 2 disjoint events, and obtain its probability by summing both probabilities for the disjoint cases.
- Case 1: The ball drawn from the first box is red and the ball drawn for the second box is also red
- Case 2: The ball drawn from the first box is green but the ball drawn from the second box is red
For the first case, we have 11 balls in the first box, 7 of them being red. Thus, the probability of drawing a red ball is 7/11. After that, we will put the red ball drawn in the second box, so that it will have 9 balls in total, 4 of them being red. As a consecuence, the probability of drawing a red ball in this instance is 4/9. We need to multiply that probability by the probability that a red ball was drawn first, so we have a probability of 7/11 * 4/9 = 28/99 that the balls drawn are both red.
Now, lets go to the second case. The probability of drawing a green ball from the first box is 4/11, and after placing that ball in the second box, the probability that the new ball drawn is red is 3/9 = 1/3; this is because we will have 3 red balls out of a total of 9 (6 are green). Thus, the probability of this second event is 4/11 * 1/3 = 4/33.
Combining both probabilities, the probability that the ball drawn in the second box is red is 28/99 +4/33 = 40/99 = 0.40404040404...
Well the pyramid surface area is just 4 triangles that are the same shape and 1 square. so the square's area = 4*4 = 16 and a triangle would be 5*4*0.5 = 10 but there are 4 triangles so 4*10 = 40 plus the area of the circle so the answer is 56
Answer:
A = $41,250.00 total / 60 for monthly payment = $ 687.5
Step-by-step explanation:
(I = A - P = $8,250.00)
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 33000(1 + (0.05 × 5)) = 41250
A = $41,250.00
The total amount accrued, principal plus interest, from simple interest on a principal of $33,000.00 at a rate of 5% per year for 5 years is $41,250.00.