Step-by-step explanation:
d(t) = -16t² + 96t + 112
A) The quarter's initial height is at t = 0.
d(0) = -16(0)² + 96(0) + 112
d(0) = 112
The quarter is tossed from a height of 112 feet.
B) The maximum height is at the vertex of the parabola, which is at x = -b/(2a).
t = -(96) / (2 × -16)
t = 3
The quarter reaches its maximum height after 3 seconds.
C) d(3) = -16(3)² + 96(3) + 112
d(3) = 256
The quarter reaches a maximum height of 256 feet.
D) When the quarter lands in the water, d(t) = 0.
0 = -16t² + 96t + 112
0 = t² − 6t − 7
0 = (t + 1) (t − 7)
t = -1 or 7
Since t can't be negative, t = 7. So the quarter lands in the water after 7 seconds.
Answer:
124
Step-by-step explanation:
100 x .09=9
100 x ,15=15
9 + 15=24
100+24=124
Given:
Growth rate = 30% decrease
To find:
The growth factor associated with the given growth rate.
Solution:
The general exponential function is:
Where, a is the initial value, r is the growth rate in decimal and 
is the growth factor.
It is given that the growth rate is 30% decrease. So,
Now,
Therefore, the growth factor is 0.7.
Answer:
You'll have to give more information about the question or about what you need solved.
Step-by-step explanation:
