Answer:4
Step-by-step explanation:
Answer:
156250
Step-by-step explanation:
10000(1+.5/2 )^2*10=156250
Answer:
24p^2q^2?
Step-by-step explanation:
Not enough info, so this is what I could get...
Suppose that the height of the tree is given by exponential growth. This is the given by the form:
y=abˣ
where:
a is the initial value
b is the growth factor
y is the current value
x is the number of years.
From the question:
a=36 in
b=1 1/4=1.25
y=44 3/4=44.75
plugging the values in the equation we get:
44.75=36(1.25ˣ)
solving for x we shall have:
179/144=1.25ˣ
introducing logs
ln(179/144)=x ln 1.25
hence
x=[ln(179/144)]/ln 1.25
x=0.975~ 1 year
Answer: the tree was planted 1 year ago
Answer:
Step-by-step explanation:
The equation used to represent the height of the ball, h in feet after t seconds is expressed as
h = -16t^2 + 48t + 4
A) The height of the ball after 2 seconds would be
h = - 16 × 2² + 48 × 2 + 4
h = - 64 + 96 + 4
h = 36 feet
B)The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height travelled by the rocket.
The vertex of the parabola is calculated as follows,
Vertex = -b/2a
From the equation,
a = -16
b = 48
Vertex = - - 48/32= 1.5
So the ball will attain maximum height at 1.5 seconds.
C) The maximum height of the ball would be
h = -16 × 1.5² + 48 × 1.5 + 4
h = - 36 + 72 + 4
h = 40 feet
