X+10=7x
10=6x
10/6=x
1 4/6 = x
1 2/3 =x
Hope this helps :)
1. Two hundred thirty four and five hundred sixty seven thousandths
2. 200+30+4+.5+.06+.007
Hope this helps! :)
9514 1404 393
Answer:
97.8 ft
Step-by-step explanation:
All of the side lengths are given. Add them up to find the perimeter.
33.4 + 6.5 +16.7 +9 +7.7 +9 +9 +6.5 = 97.8 . . . feet
let's recall that a year has 12 months, so 15 months is really 15/12 years.
![\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&\$1000\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{15}{12}\dotfill &\frac{5}{4} \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~%20%5Ctextit%7BSimple%20Interest%20Earned%7D%20%5C%5C%5C%5C%20I%20%3D%20Prt%5Cqquad%20%5Cbegin%7Bcases%7D%20I%3D%5Ctextit%7Binterest%20earned%7D%5Cdotfill%26%5C%241000%5C%5C%20P%3D%5Ctextit%7Boriginal%20amount%20deposited%7D%5Cdotfill%20%26%20%5C%246000%5C%5C%20r%3Drate%5Cto%20r%5C%25%5Cto%20%5Cfrac%7Br%7D%7B100%7D%5C%5C%20t%3Dyears%5Cto%20%5Cfrac%7B15%7D%7B12%7D%5Cdotfill%20%26%5Cfrac%7B5%7D%7B4%7D%20%5Cend%7Bcases%7D)
![\bf 1000=(6000)r\left( \cfrac{5}{4} \right)\implies 1000=7500r\implies \cfrac{1000}{7500}=r\implies \cfrac{2}{15}=r \\\\\\ \stackrel{\textit{converting that to a percentage}}{\cfrac{2}{15}\cdot 100 = r\implies \cfrac{40}{3}=r}\implies \stackrel{\%~\hfill }{13.\overline{3}}=r](https://tex.z-dn.net/?f=%5Cbf%201000%3D%286000%29r%5Cleft%28%20%5Ccfrac%7B5%7D%7B4%7D%20%5Cright%29%5Cimplies%201000%3D7500r%5Cimplies%20%5Ccfrac%7B1000%7D%7B7500%7D%3Dr%5Cimplies%20%5Ccfrac%7B2%7D%7B15%7D%3Dr%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bconverting%20that%20to%20a%20percentage%7D%7D%7B%5Ccfrac%7B2%7D%7B15%7D%5Ccdot%20100%20%3D%20r%5Cimplies%20%5Ccfrac%7B40%7D%7B3%7D%3Dr%7D%5Cimplies%20%5Cstackrel%7B%5C%25~%5Chfill%20%7D%7B13.%5Coverline%7B3%7D%7D%3Dr)