Answer: They purchased 14 adult tickets and 4 kids' tickets.
Step-by-step explanation:
14 x 5 = 70
3x4=12
and then add 70 plus 12 to get 82 dollars
D = 545.79
r = 48.3
Plug in numbers to corresponding variables
545.79 = t(48.3)
Isolate the t, divide 48.3 from both sides
(545.79)/48.3 = 48.3t/48.3
t = 545.79/48.3
t = 11.3
t = A) 11.3 h
hope this helps
HI!
First of all, there are total 12 + 2 + 6 = 20 pairs of socks.
Probability of getting a pair of white socks the first time is 12/20.
Probability of getting a pair of gray socks without replacement, if first one was white, is 2/19
Therefore the probability t<span>hat she will take a white pair and gray pair</span> without replacement is 6/95 (I multiplied the two probabilities)
Let me know if there are any other questions!
Answer: 19 years
Step-by-step explanation:
Given
Amount invested ![\$400](https://tex.z-dn.net/?f=%5C%24400)
Rate of interest ![R=6\%](https://tex.z-dn.net/?f=R%3D6%5C%25)
after 1-year amount becomes
![A=400\left (1+6\%\right)\\A=400\left (1+0.06\right)\\A=400\times 1.06\\A=\$424](https://tex.z-dn.net/?f=A%3D400%5Cleft%20%281%2B6%5C%25%5Cright%29%5C%5CA%3D400%5Cleft%20%281%2B0.06%5Cright%29%5C%5CA%3D400%5Ctimes%201.06%5C%5CA%3D%5C%24424)
After n years it is
![A=400\left (1.06\right)^n](https://tex.z-dn.net/?f=A%3D400%5Cleft%20%281.06%5Cright%29%5En)
Sum accumulated is ![\$1200](https://tex.z-dn.net/?f=%5C%241200)
![\Rightarrow 1200=400\left(1.06\right)^n\\\Rightarrow 3=\left(1.06\right)^n\\\text{Taking log both sides}\\\Rightarrow n=\dfrac{\ln 3}{\ln 1.06}\\\\\Rightarrow n=18.85\approx 19\ \text{years}](https://tex.z-dn.net/?f=%5CRightarrow%201200%3D400%5Cleft%281.06%5Cright%29%5En%5C%5C%5CRightarrow%203%3D%5Cleft%281.06%5Cright%29%5En%5C%5C%5Ctext%7BTaking%20log%20both%20sides%7D%5C%5C%5CRightarrow%20n%3D%5Cdfrac%7B%5Cln%203%7D%7B%5Cln%201.06%7D%5C%5C%5C%5C%5CRightarrow%20n%3D18.85%5Capprox%2019%5C%20%5Ctext%7Byears%7D)
The answer is 35/6. Hope you get it!