The question GIVES us an equation:
V₀ = √(v² - 64h) .
It TELLS us that v should be 100 ft/sec and h is 150 ft.
All we have to do is plug the numbers into the equation,
and then do the arithmetic to find V₀.
There's not even any Physics to do. Only arithmetic.
V₀ = √(v² - 64h)
v = 100
h = 150
V₀ = √(100² - 64·150)
V₀ = √(10,000 - 9,600)
V₀ = √400
V₀ = 20 ft per sec .
Answer: the company should invest $12191 each week
Step-by-step explanation:
The amount that the company needs is $5,400,000
We would apply the periodic interest rate formula which is expressed as
P = a/[{(1+r)^n]-1}/{r(1+r)^n}]
Where
P represents the weekly payments.
a represents the amount that the company needs
r represents the rate.
n represents number of weekly payments. Therefore
a = 5,400000
There are 52 weeks in a year
r = 0.079/52 = 0.0015
n = 52 × 14 = 728
Therefore,
P = 5400000/[{(1+0.0015)^728]-1}/{0.0015(1+0.0015)^728}]
5400000/[{(1.0015)^728]-1}/{0.0015(1.0015)^728}]
P = 5400000/{2.98 -1}/[0.0015(2.98)]
P = 5400000/(1.98/0.00447)
P = 5400000/442.95
P = $12191
I got k ≥ -7. Hope this helps!
Answer:
Step-by-step explanation:
Given
--- a point on the parabola
Required
The equation
First, calculate the equation from the zeros
Substitute and
To solve for k, we substitute
Divide by -4
So, the equation is:
