The present worth of the boat is $8825. The interest rate is 10.2% and it's not stated whether or not the interest is nominal, so we assume it's annual and effective. We use the formula:
F = P (1 + i)^n
where F is the future worth
P is the present worth
i is the effective annual interest rate
n is the number of years
Substituting:
F = 8825(1 + 0.102)^3
F = 11810.26
The future worth of the boat is
$11,810.26
Answer:
-4
Step-by-step explanation:
The slope is the number (& sign) attached to the variable x.
Remember to follow the slope-intercept form: y = mx + b.
Isolate the variable y. Note the equal sign, what you do to one side, you do to the other. ∴
First, add 4x to both sides:
-4x (+4x) - y = -5 (+4x)
-y = 4x - 5
Next, divide -1 from both sides (to make the variably y positive):
(-y)/-1 = (4x - 5)/-1
y = (4x - 5)/-1
y = -4x + 5
Slope intercept form: y = mx + b, in which m = slope, ∴ -4 is your answer.
~
h(t) = -16t² + 50t + 5
The maximum height is the y vertex of this parabola.
Vertex = (-b/2a, -Δ/4a)
The y vertex is -Δ/4a
So,
The maxium height is -Δ/4a
Δ = b² - 4.a.c
Δ = 50² - 4.(-16).5
Δ = 2500 + 320
Δ = 2820
H = -2820/4.(-16)
H = -2820/-64
H = 2820/64
H = 44.0625
So, the maxium height the ball will reach is 44.0625