Note: Let us consider, we need to find the
and
.
Given:
In the given figure, BD is the angle bisector of ABC.
To find:
The
and
.
Solution:
BD is the angle bisector of ABC. So,




Divide both sides by 2.


Now,



And,





Therefore,
and
.
Answer:
(4, -8)
Step-by-step explanation:
The components of a vector are found by subtracting the tail from the head.
__
Head - Tail = (1, -6) -(-3, 2) = (1 -(-3), -6 -2) = (4, -8)
⇒ The component form is (4, -8), or maybe 4<em>i</em> -8<em>j</em>.
_____
<em>Additional comment</em>
There are many ways that the components of vectors can be described. The particular format you are expected to use will likely be found in your curriculum materials.
Answer:
Step-by-step explanation:
<u>Given:</u>
- Total number = 700
- Off grid class = 450
- Online class = 320
- Both = 275
<u>Based on the given we find the following</u>
1) <u>Off-grid class only:</u>
3) <u>Online class only:</u>
2) <u>None of the classes:</u>
- 700 - (175 + 275 + 45) = 205
4) <u>Not online:</u>
5) <u>Not off-grid:</u>
1. The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = ?
P = the principal investment amount = $2000
r = interest rate = 4%
n = the number of times that interest is compounded per year = 4
x = the number of years = 5
Calculations:
A = 2000 (1 + 0.04/4)²⁰
A = 2000 (1 + 0.01)²⁰
A = 2000 (1.01)²⁰
A = 2000 ₓ 1.22
A = $2440.38
2. The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 48%
n = the number of times that interest is compounded per year = 12
x = the number of years = 2
Calculations:
A = 50 (1 + 0.48/12)²⁴
A = 50 (1 + 0.04)²⁴
A = 50 (1.04)²⁴
A = 50 ₓ 2.56
A = $128.16
3. The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 4%
n = the number of times that interest is compounded per year = 12
x = the number of years = 3
Calculations:
A = 50 (1 + 0.04/12)³⁶
A = 50 (1 + 0.003)³⁶
A = 50 (1.003)³⁶
A = 50 ₓ 1.12
A = $56.36