(5,4)
On a system of 2 perpendicular axis with O as origine, the pair (5,4) means:
5 is the distance from the origin O and situated on x-axis (on the right of O)
4 is the distance from the origin O and situated on y-axis (above O)
Then the pair (5,4) is situated in the 1st Quadrant
4n² - 16n - 84 = 0
Multiply both sides by 1/4 :
n² - 4n - 21 = 0
Add 21 to both sides:
n² - 4n = 21
Complete the square by adding 4 to both sides:
n² - 4n + 4 = 25
(n - 2)² = 25
Solve for n :
n - 2 = ± √25
n - 2 = ± 5
n = 2 ± 5
Then n = 2 + 5 = 7 or n = 2 - 5 = -3.
45 minutes equal to 2700 seconds.
Answer:
FV= $436.72
Step-by-step explanation:
Giving the following information:
Initial cost (PV)= $500
Decrease rate (d)= 7% per year
Number of periods (n)= 2 years
<u>To calculate the future value after 2 years, we need to use the following formula:</u>
FV= PV / (1 + d)^n
FV= 500 / (1.07^2)
FV= $436.72
Answer:
Step-by-step explanation:
Here, we have to find the sum of 2 fractions:
1st fraction: 
2nd fraction: 
Considering the denominator of 1st fraction:
Using factorization method:
can be written as 
.
Taking <em>5 common</em> from 
and <em>y common</em> from 
:
Now taking 
common:
can be written as 
Now, calculating the sum:
Taking <em>LCM</em> and solving:
Hence, answer is .
