Answer:
4.50 s
Step-by-step explanation:
The motion of the ball is represented by the following equation:
(1)
where
h(t) is the elevation at time t
2 ft is the initial elevation at t = 0
+70 ft/s is the initial vertical velocity
is the acceleration due to gravity
The green is located at an elevation of -7 feet, so the ball lands on the green when
h(t) = -7
Substituting into (1)

And re-arranging we get

This is a second-order equation in the form

which has solutions
(2)
Here we have:
a = 16
b = -70
c = -9
Substituting into (2) we find the solutions:

The two solutions are:
t = 4.50 s
t = -0.125 s
The second solution is negative, and since negative time has no physical meaning, the only correct solution is
t = 4.50 s
Amount earned in compound interest = P(1 + r)^n; where P is the principal, r is the rate and n is the number of periods.
Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = $6,584.91
Answer:
See below, there may be more than one answer
Step-by-step explanation:
4(3+1)+2 = 18
(4+2)(3)+1 = 19
(1)(2+3)(4) = 20
(1+2)(3+4) = 21
Answer:
Y=168
Step-by-step explanation:
Y varies directly as X
Y=kx
K is a constant
28=k2
K=28/2 =14
Y=14x
Y=14×12
Y=168