<em>y</em> - 1/<em>z</em> = 1 ==> <em>y</em> = 1 + 1/<em>z</em>
<em>z</em> - 1/<em>x</em> = 1 ==> <em>z</em> = 1 + 1/<em>x</em>
==> <em>y</em> = 1 + 1/(1 + 1/<em>x</em>) = 1 + <em>x</em>/(<em>x</em> + 1) = (2<em>x</em> + 1)/(<em>x</em> + 1)
<em>x</em> - 1/<em>y</em> = <em>x</em> - (<em>x</em> + 1)/(2<em>x</em> + 1) = (2<em>x</em> ² - 1)/(2<em>x</em> + 1) = 1
==> 2<em>x</em> ² - 1 = 2<em>x</em> + 1
==> 2<em>x</em> ² - 2<em>x</em> - 2 = 0
==> <em>x</em> ² - <em>x</em> - 1 = 0
==> <em>x</em> = (1 ± √5)/2
If you start solving for <em>z</em>, then for <em>x</em>, then for <em>y</em>, you would get the same equation as above (with <em>y</em> in place of <em>x</em>), and the same thing happens if you solve for <em>x</em>, then <em>y</em>, then <em>z</em>. So it turns out that <em>x</em> = <em>y</em> = <em>z</em>.
Answer:
The amount <u>$20.00</u> is the overdraft fee.
Step-by-step explanation:
Given:
Katie's bank statement shows a closing balance = $178.11.
Her checkbook shows a balance = $198.11.
Now, to get what might account for the different balances?
Closing balance of Katie's bank statement = $178.11
Balance of her checkbook shows = $198.11.
As, there are no outstanding checks or deposits.
So, to get the difference of amount:


Thus, $20.00 is the overdraft amount.
Therefore, the amount $20.00 is the overdraft fee.
Answer:
17
Step-by-step explanation:
4w = w + 51
3w = 51
w = 51 : 3
w = 17
Answer: $454.55
Step-by-step explanation:
Tito's weekly salary is always $ 500 per week.
But your weekly commission income depends on the sales you make. Your commissions are 55%.
If we call x the dollar amount of all sales made by Tito in a week, then his income z(x) is given by the following equation:

We wish that
.
Then we equate the equation to 750 and solve for the variable x.



Total sales made by Tito must be $454.55