Step-by-step explanation:
6x+x=34+1
7x=35
x=35/7
x=5
Hence this equation has only one solution
Answer:
m = 1
Step-by-step explanation:
<u>Step 1: Add 14m to both sides</u>
-13m + 14m = 1 - 14m + 14m
<em>m = 1</em>
<em />
Answer: m = 1
For this, we have to calculate how much money has to be invested at 2.3% interest compounded continuously to achieve $41,000 after 17 years
Formula: A= P * ( 1+r)^t
A= $41,000
r=0.023
t= 17
<span>41,000= P * (1+0.023)^17
</span>41,000= P * (1.023)^17
41,000= P * 1.4719
P= 41,000 : 1.4719
P= $27,731.59
Therefore, the answer is C. $27,731.59
I checked by doing the opposite, and I got $41,000.01, which is the closest to the question<span>
</span>
Answer:
The coordinates of the other end is 
Step-by-step explanation:
Given


Required
Find the coordinates of the other end
Let Midpoint be represented by (x,y);
(x,y) = (5,2) is calculated as thus

So
and 
Where
and 
So, we're solving for 
Solving for 
Substitute 5 for x and -6 for x₁

Multiply both sides by 2


Add 6 to both sides


Solving for 

Substitute 2 for y and 2 for y₁

Multiply both sides by 2


Subtract 2 from both sides



Hence, the coordinates of the other end is 