Answer:
2
Step-by-step explanation:
4x minus 4x then it leaves you with just 2 because the 4s cancel out
12 boards. 21 / 1 3/4 = 12! Hope this helps
The formula for finding present value of an ordinary annuity is:
![PV=P*[\frac{1-(1+i)^{-n}}{i}]](https://tex.z-dn.net/?f=PV%3DP%2A%5B%5Cfrac%7B1-%281%2Bi%29%5E%7B-n%7D%7D%7Bi%7D%5D)
, where P - money to be deposited, i - interest rate, n - number of payments.
So in this case, P = 35000, i = 6 / 100 = 0.06, n = 20.
Now, we have everything needed to determine how much money must be deposited:
![PV=35000*[\frac{1-(1+0.06)^{-20}}{0.06}]=401447.24](https://tex.z-dn.net/?f=PV%3D35000%2A%5B%5Cfrac%7B1-%281%2B0.06%29%5E%7B-20%7D%7D%7B0.06%7D%5D%3D401447.24)
So the answer is
$401,447.24.
as you should already know to get the inverse of any expression, we start off by doing a <u>quick switcheroo</u> on the variables, and then solve for "y".
![\bf \stackrel{f(x)}{y} = \cfrac{x}{x-1}\implies \stackrel{switcheroo}{x=\cfrac{y}{y-1}}\implies x(y-1)=y\implies xy-x=y \\\\\\ -x=y-xy\implies -x=\stackrel{\textit{common factor}}{y(1-x)}\implies \cfrac{-x}{1-x}=y \\\\\\ \cfrac{x}{-(1-x)}=y\implies \cfrac{x}{x-1}=\stackrel{f^{-1}(x)}{y}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bf%28x%29%7D%7By%7D%20%3D%20%5Ccfrac%7Bx%7D%7Bx-1%7D%5Cimplies%20%5Cstackrel%7Bswitcheroo%7D%7Bx%3D%5Ccfrac%7By%7D%7By-1%7D%7D%5Cimplies%20x%28y-1%29%3Dy%5Cimplies%20xy-x%3Dy%20%5C%5C%5C%5C%5C%5C%20-x%3Dy-xy%5Cimplies%20-x%3D%5Cstackrel%7B%5Ctextit%7Bcommon%20factor%7D%7D%7By%281-x%29%7D%5Cimplies%20%5Ccfrac%7B-x%7D%7B1-x%7D%3Dy%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7Bx%7D%7B-%281-x%29%7D%3Dy%5Cimplies%20%5Ccfrac%7Bx%7D%7Bx-1%7D%3D%5Cstackrel%7Bf%5E%7B-1%7D%28x%29%7D%7By%7D)
Answer
Add the expressions.
1400
Step-by-step explanation:
Have a nice day