Answer:
$3098.93
Step-by-step explanation:
We can use the formula for compound growth to solve this. The formula is:
Where
F is the future value (the value at end of 14 years, our answer)
P is the initial amount invested ($1250)
r is the interest rate, in decimal (6.7% is 0.067)
t is the time in years (14, in our case)
<em>Plugging in all the information</em> we have:
The account will accrue $3098.93 after 14 years.
The horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
<u>Explanation:</u>
Given:
h(x) = -0.026x² + 0.563x + 3
where,
h(x) is the height of the water
Initial speed, u = 14m/s
angle, θ = 30°
(a)
Horizontal distance = ?
h(x) = ax² + bx + c
the vertex is found at x = -b/2a
where,
x = distance to the maximum height
As compared to the equation given:
a = -0.026
b = 0.563
Thus,
Therefore, horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
