If you expand the left hand side, the inequality becomes
As you can see, appears on both sides, which means that it cancels out. You can subtract from both sides to get
and this is clearly always true. If you interpreted the inequality with words, it would sound like
"For which values of n is 18 greater than 8"
Since the inequality does not depend on n anymore and the remaining part is true (18 is indeed greater than 8), every possible value of n satisfies the inequality.
-2x + xy = 30.....when y = 8
-2x + 8x = 30
6x = 30
x = 30/6
x = 5 <==
To find the length of a line between two points with known x- and y- coordinates, use:
sqrt((change in x)^2 + (change in y)^2),
which I know may look confusing but it isn't really:
sqrt((5 - -3)^2 + (4 - -1)^2)
= sqrt(8^2 + 5^2)
= sqrt(64 + 25)
= sqrt(89)
The amount Madeline would have more than Harper is $4,867.18.
<h3>What is the future value of the accounts of Madeline and Harper?</h3>
The formula for calculating future value is: FV = P (1 + r/m)^nm
Where:
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
Madeline = $51,000 x [ 1 + (0.06125 ÷ 365)]^(365 x 13) = $113,070.20 Harper = $51,000 x [ 1 + (0.058 ÷ 12)]^(12 x 13) = $108,203.24
Difference in amount = $113,070.20 - $108,203.24 = $4,867.18
To learn more about future value, please check: brainly.com/question/18760477