Answer:

Step-by-step explanation:



The two points given are a(14, -1), b(-4, 23) and ratio m:n=1:6


Answer:
- h = 0 when the ball hits the ground
- about 3.464 seconds
Step-by-step explanation:
The formula gives h = 192 when t=0, so we assume that h represents the height above the ground. The ball will have a height of 0 when it hits the ground.
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Using that in the equation, we can solve for t.
0 = 192 -16t^2
0 = 12 -t^2 . . . . . . divide by 16
t^2 = 12 . . . . . . . . add t^2
t = √12 = 2√3 ≈ 3.464 . . . . take the square root
It will take 2√3 seconds, about 3.464 seconds, for the ball to hit the ground.
Answer:
- 3 and 69/70
Step-by-step explanation:
3 ÷ 5(6 × 7) - 4
3 ÷ 5(40) - 4
3 ÷ 210 - 4
1/70 ÷ 4
- 3 and 69/70
A millennium is a period of one thousand years
The formula of the future value of annuity due is
A=p [(1+r/k)^(kn)-1)/(r/k)]×(1+r/k)
A future value of annuity due
P payment 125
R interest rate 0.0375
K compounded monthly 12
N time 8 years
Solve for A
A=125×(((1+0.0375÷12)^(12
×8)−1)÷(0.0375÷12))×(1
+0.0375÷12)
=14,012.75