The slope of the line is 6/2 because if you start at the first point you go over 6 in the x direction (right) and then you have to go up in the y direction (up)
For the answer to the question above,
<span>Let's figure out the formula first
FV = PV(1+i/n)^(nt)
9762= 9000(1+0.12/12)^(12x)
9762= 9000(1.01)^12x
9762/9000=1.01^12x
1.08467=1.01^12x
ln1.08467/12 x ln1.01=0.681 years (8.17 months) same as my calculator
So,
0.681x360=
245.16 days is</span><span> the time period</span>
T = 5, so after 5 years
p(t) = t^3 - 14t^2 + 20t + 120
Take derivative to find minimum:
p’(t) = 3t^2 - 28t + 10
Factor to solve for t:
p’(t) = (3t - 2)(t - 5)
0 = (3t - 2)(t - 5)
0 = 3t - 2
2 = 3t
2/3 = t
Plug 2/3 into original equation, this is a maximum. We want the minimum:
0 = t - 5
5 = t
Plug back into original:
5^3 - 14(5)^2 + 20(5) + 120
125 - 14(25) + 100 + 120
125 - 350 + 220
- 225 + 220
p(5) = -5
If you draw this triangle on a graph as described, tan theta is -4(square root)33/33
Answer:
B
Step-by-step explanation:
