Vector & Magnitude is (1,-9) & 9.0854 respectively! Correct option is
D) (1, -9), 182 * 9.0854
<u>Step-by-step explanation:</u>
Here we have , We have to Identify the ordered pair that represents the vector from A(1,6) to B(2, -3) and the magnitude of AB . Let's find out:
Vector that represents from A(1,6) to B(2, -3) is given by :
⇒ 
⇒ 
or ,
⇒ 
Now , Magnitude of vector AB is :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , Vector & Magnitude is (1,-9) & 9.0854 respectively! Correct option is D) (1, -9), 182 * 9.0854
Answer:
195.25
Step-by-step explanation:
Consider geometric series S(n) where initial term is a
So S(n)=a+ar^1+...ar^n
Factor out a
S(n)=a(1+r+r^2...+r^n)
Multiply by r
S(n)r=a(r+r^2+r^3...+r^n+r^n+1)
Subtract S(n) from S(n)r
Note that only 1 and rn^1 remain.
S(n)r-S(n)=a(r^n+1 -1)
Factor out S(n)
S(n)(r-1)=a(r^n+1 -1)
The formula now shows S(n)=a(r^n+1 -1)/(r-1)
Now use the formula for the problem
Answer:
The original price of the item is $28.
Step-by-step explanation:
So to find the original price, we have to divide the sale price by the result of one minus the discount in percentage form.
So:
First convert 25% to a decimal, 0.25.
OP(original price) = 21 ÷ 1 - 0.25 =
1 - 0.25 = 0.75
21 ÷ 0.75 = 28.
Answer:
5(x+3)........ ...........
