K + 1 = 3k - 1 |-3k
-2k + 1 = -1 |-1
-2k = -2 |:(-2)
k = 1
So we need to isolate the variable. In order to do that, we need to multiply both sides by 5/4.
Why? That's so that 4/5z will be canceled out when multiplied by 5/4 to get just z.
And so, we would get 20 as our answer.
We are given with the following:
Effective annual interest, i = 0.0425
Future worth, F = $25000
Number of years, n = 18
We use the formula to solve for the present worth of the money:
P = F / (1 + i)^n
P = 25000 / (1 + 0.0425)^18
P = 11818.73
The closest answer is:
<span>b.
$11,820</span>
This is an odd problem. The length and width look like they should be interchanged. Anyway I'll solve it and we'll talk about the results.
(x +7) (x + 3) = 396
x^2 + 7x + 3x + 21 = 396
x^2 + 10x + 21 = 396 Subtract 21 from both sides.
x^2 + 10x = 396 - 21
x^2 + 10x = 375
x^2 + 10x - 375 = 0 This probably factors.
(x + 25)(x - 15)
x + 25 = 0
x = - 25 which makes no sense. Negatives do not describe room dimensions.
x - 15= 0
x = 15. this is fine.
x+3 = 15 + 3 = 18
x + 7 = 15 + 7= 22
Check
=====
Area = L * W = 18 * 22 = 496. It does check.
22 should be the length
18 should be the width.
2.83 if rounded. 2.82842712475 would be the actual.
Hope this helped!
