Answer:
The correct option is, Exponential Decay, $23,914.85.
Step-by-step explanation:
A farmer buys a tractor for $50,000.
It is provided that the the tractor depreciates 10% per year.
The exponential function for decay is:
Here,
a = initial value
r = decay rate
t = time
Compute the value of the tractor in 7 years as follows:
Thus, the correct option is, Exponential Decay, $23,914.85.
Answer:
After 2 seconds
Step-by-step explanation:
First step is find an equation of velocity:
h(t)=-16t2+64t+112. The velocity function is derivated from position function, so we should do that.
v(t)= h´(t)= -16*2*t+64 ⇒ v(t)= -32t+64.
Now we know the arrow reach the maximun height when this velocity is equal to zero when t>0.
0=-32t+64 ⇒ 32t=64, split each member for 32 ⇒ =
t=2. That means after 2 sec. the arrow reach the maximum height