Answer:
8.7
Step-by-step explanation:
14² - 11² = x
196-121= 75
√75= 8.66
so rounding it would be 8.7
Answer:
.
Step-by-step explanation:
The given equation is
![0.15(y-0.2)=2-0.5(1-y)](https://tex.z-dn.net/?f=0.15%28y-0.2%29%3D2-0.5%281-y%29)
Using distributive property, we get
![0.15(y)+0.15(-0.2)=2-0.5(1)-0.5(-y)](https://tex.z-dn.net/?f=0.15%28y%29%2B0.15%28-0.2%29%3D2-0.5%281%29-0.5%28-y%29)
![0.15y-0.03=2-0.5+0.5y](https://tex.z-dn.net/?f=0.15y-0.03%3D2-0.5%2B0.5y)
![0.15y-0.03=1.5+0.5y](https://tex.z-dn.net/?f=0.15y-0.03%3D1.5%2B0.5y)
Isolate variable terms.
![0.15y-0.5y=1.5+0.03](https://tex.z-dn.net/?f=0.15y-0.5y%3D1.5%2B0.03)
![-0.35y=1.53](https://tex.z-dn.net/?f=-0.35y%3D1.53)
Divide both sides by -0.35.
![y=\dfrac{1.53}{-0.35}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B1.53%7D%7B-0.35%7D)
![y=-\dfrac{1.53}{0.35}\times \dfrac{100}{100}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B1.53%7D%7B0.35%7D%5Ctimes%20%5Cdfrac%7B100%7D%7B100%7D)
![y=-\dfrac{153}{35}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B153%7D%7B35%7D)
Therefore,
.
![\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \qquad \begin{cases} A=\textit{compounded amount}\to &800\\ P=\textit{original amount deposited}\\ r=rate\to 7\%\to \frac{7}{100}\to &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, meaning 12} \end{array}\to &12\\ t=years\to &3\frac{1}{2} \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%5Ctextit%7BCompound%20Interest%20Earned%20Amount%7D%0A%5C%5C%5C%5C%0AA%3DP%5Cleft%281%2B%5Cfrac%7Br%7D%7Bn%7D%5Cright%29%5E%7Bnt%7D%0A%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0AA%3D%5Ctextit%7Bcompounded%20amount%7D%5Cto%20%26800%5C%5C%0AP%3D%5Ctextit%7Boriginal%20amount%20deposited%7D%5C%5C%0Ar%3Drate%5Cto%207%5C%25%5Cto%20%5Cfrac%7B7%7D%7B100%7D%5Cto%20%260.07%5C%5C%0An%3D%0A%5Cbegin%7Barray%7D%7Bllll%7D%0A%5Ctextit%7Btimes%20it%20compounds%20per%20year%7D%5C%5C%0A%5Ctextit%7Bmonthly%2C%20meaning%2012%7D%0A%5Cend%7Barray%7D%5Cto%20%2612%5C%5C%0A%0At%3Dyears%5Cto%20%263%5Cfrac%7B1%7D%7B2%7D%0A%5Cend%7Bcases%7D)
solve for "P" to find the Principal
Answer:
$925,000
Step-by-step explanation:
Let "t" represent "total sales."
We are asking how much this person must bring in thru sales to end up with $55,000 in earnings.
A suitable equation would be:
$18,000 + 0.04t = $55,000.
Let's isolate t. Start by subtracting $18,000 from both sides, obtaining:
0.04t = $37,000
Dividing both sides by 0.04 results in t = $925,000.
Her sales must be $925,000 for her income (including earnings) to be $55,000.
Answer:
6
Step-by-step explanation:
I'm sorry if it wrong.