Answer:
1095$ should be invested today .
Step-by-step explanation:
The formula of present value will be applied here :
Present Value= Future Value/(1+ interest rate)^Years
Present Value = 1250/(1.045)^3
Answer:
38
Step-by-step explanation:
APEX
Answer:
x= -3 x = 1/2 x=-2
Step-by-step explanation:
f(x)=(x+3) (2x-1)(x+2)
Set equal to zero
0 =(x+3) (2x-1)(x+2)
Using the zero product property
x+3 =0 2x-1 =0 x+2 =0
x= -3 2x =1 x = -2
x= -3 x = 1/2 x=-2
Answer:
zero property
Step-by-step explanation:
if it equals zero its zero property
the first solution is 20% acid, and say we'll be using "x" liters, so how many liters of just acid are in it? well 20% of "x" or namely 0.2x. Likewise for the 60% acid solution, if we had "y" liters of it, the amount of only acid in it is 0.6y.
![\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{liters of }}{amount}\\ \cline{2-4}&\\ \textit{1st solution}&x&0.20&0.2x\\ \textit{2nd solution}&y&0.60&0.6y\\ \cline{2-4}&\\ mixture&100&0.44&44 \end{array}~\hfill \begin{cases} x+y=100\\\\ 0.2x+0.6y=44 \end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Blcccl%7D%20%26%5Cstackrel%7Bsolution%7D%7Bquantity%7D%26%5Cstackrel%7B%5Ctextit%7B%5C%25%20of%20%7D%7D%7Bamount%7D%26%5Cstackrel%7B%5Ctextit%7Bliters%20of%20%7D%7D%7Bamount%7D%5C%5C%20%5Ccline%7B2-4%7D%26%5C%5C%20%5Ctextit%7B1st%20solution%7D%26x%260.20%260.2x%5C%5C%20%5Ctextit%7B2nd%20solution%7D%26y%260.60%260.6y%5C%5C%20%5Ccline%7B2-4%7D%26%5C%5C%20mixture%26100%260.44%2644%20%5Cend%7Barray%7D~%5Chfill%20%5Cbegin%7Bcases%7D%20x%2By%3D100%5C%5C%5C%5C%200.2x%2B0.6y%3D44%20%5Cend%7Bcases%7D)
![x+y=100\implies y=100-x~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.2x+0.6(100-x)=44} \\\\\\ 0.2x+60-0.6x=44\implies -0.4x+60=44\implies -0.4x=-16 \\\\\\ x=\cfrac{-16}{-0.4}\implies \boxed{x=40}~\hfill \boxed{\stackrel{100-40}{y=60}}](https://tex.z-dn.net/?f=x%2By%3D100%5Cimplies%20y%3D100-x~%5Chfill%20%5Cstackrel%7B%5Ctextit%7Bsubstituting%20on%20the%202nd%20equation%7D%7D%7B0.2x%2B0.6%28100-x%29%3D44%7D%20%5C%5C%5C%5C%5C%5C%200.2x%2B60-0.6x%3D44%5Cimplies%20-0.4x%2B60%3D44%5Cimplies%20-0.4x%3D-16%20%5C%5C%5C%5C%5C%5C%20x%3D%5Ccfrac%7B-16%7D%7B-0.4%7D%5Cimplies%20%5Cboxed%7Bx%3D40%7D~%5Chfill%20%5Cboxed%7B%5Cstackrel%7B100-40%7D%7By%3D60%7D%7D)