Answer:
10) - 45 degrees
12) 0 degrees
Step-by-step explanation:
10)
Find the x and y components that define the vector that joins C with D:
x-component: -4 - (-8) = - 4 + 8 = 4
y-component: 4 - 8 = -4
use the tangent function to find the angle 
:
12)
Find the x and y components that define the vector that joins A with B:
x-component: 7 - 4 = 3
y-component: - 1 - (-1) = -1 + 1 = 0
use the tangent function to find the angle :
9514 1404 393
Answer:
C) 12y 8m
Step-by-step explanation:
The amount of principal P at compound monthly at interest rate r per year is given by ...
A = P(1 +r/12)^(12t) . . . . after t years
Here, we want to find t, so ...
A/P = (1 +r/12)^(12t)
log(A/P) = (12t)·log(1 +r/12)
t = log(A/P)/(12·log(1 +r/12))
Filling in the given values, we find t to be ...
t = log(8000/4000)/(12·log(1 +0.055/12)) ≈ 12.6315 ≈ 12 years 7.6 months
It will take about 12 years 8 months to double the money.
Answer: 703.3125 in cubed
Step-by-step explanation:
The formula to find the volume of something is to…
1. Find the area of the base! Remember, area is length x width. In this case we would have 15.5 x 8.25 = 127.875
2. Multiply the base area we just found by the height! In this case, we take 127.875 x 5.5 and this gives us 703.3125 as our final answer!
First, let's simplify the inequality as much as we can:
-4x + 7 > 15
-4x > 8
Divide by -4:
x < -2
