Answer:
The direction of 
is (4,4,-5).
The midpoint of the line segment 
is in (-1 , 3 , 2.5)
Step-by-step explanation:
The direction of a vector that goes from the initial point A to the final point B can be calculated as the subtraction of B with A. In this case:
The midpoint of the line segment between two points A and B can be obtained as the halving of the addition of the vector A with the vector B. The line segment AB and the vector A+B make a rhombus. These lines will cross each other in their respective mediatrix. Therefore, if you obtain the point of the mediatrix of the vector A+B, you will find the midpoint of the segment AB. In this case:
![P_{mid1-2}=(\vec{P_1}+\vec{P_2})/2=\frac{1}{2}[(-3, 1, 5)+(1, 5, 0)]=(-1, 3, 2.5)](https://tex.z-dn.net/?f=P_%7Bmid1-2%7D%3D%28%5Cvec%7BP_1%7D%2B%5Cvec%7BP_2%7D%29%2F2%3D%5Cfrac%7B1%7D%7B2%7D%5B%28-3%2C%201%2C%205%29%2B%281%2C%205%2C%200%29%5D%3D%28-1%2C%203%2C%202.5%29)
We have been given that miss Roxanne is 25 years old and she puts 1800 dollars per quarter that returns 6% interest.
(a) We need to figure out how much will be in the account when she turns 65 years old. When she turns 65 years old, the number of years during which she made deposits would be 40. Since she made quarterly deposits. She made a total of 160 deposits. We can now figure out the final amount in the account using future value of annuity formula.
We have the values P=1800, r=6/4% = 1.5% = 0.015 and n=160.
Therefore, the amount in the account would be:
Therefore, miss Roxanne will be 1179415.39 dollars in her account when she turns 65 years old.
(b) In this part we need to figure out the total amount she deposited.
The total amount she deposited would be 
.
(c) We can find the interest earned by subtracting her contribution from the answer of part (a).
Interest earned = 
The answer is B. Adjacent angles. They both have a meeting point and don't overlap.
The answer isn't A. because both angles don't add up to 90°.
The answer isn't C. because both angles aren't 90°.
The answer isn't D. because both angles don't add up to 180°.
Hope this helps! :)
\(^ ◇^)/
Answer: Q#1:0.26
Step-by-step explanation: just round it up
Answer:
Greater ; Greater
Smaller ; Greater
Step-by-step explanation:
Slopes
First row
A: 15/2
B: (25-12.5)/(4-2) = 12.5/2
A has a greater slope than B
-4x + 2y = 8
2y = 4x + 8
y = 2x + 4
A: 2
B: 3/2
A has a greater slope than B
Second Row
A: (2.6-2)/(3-0) = 0.6/3 = 0.1
B: (5-4)/(4-0) = 1/4 = 0.25
A has a smaller slope than B
A: 60
B: (325-50)/5-0) = 275/5 = 55
A has a greater slope than B
