Answer:
8.31 weeks
Step-by-step explanation:
Given that the cost of one share of Apple stock, C=$120
Rate is the increment of the stock value, R= 5%/week=0.05 / week.
Assuming that after t week, the stock has been sold for $180.
Since the stock value increased at 5% every week, so, the interest is compounded weekly, so
![S=C\left(1+R\right)^t \\\\ \Rightarrow 180 = 120\left(1+0.05\right)^t \\\\ \Rightarrow 180 = 120\left(1.05 )^t \\\\](https://tex.z-dn.net/?f=S%3DC%5Cleft%281%2BR%5Cright%29%5Et%20%5C%5C%5C%5C%20%5CRightarrow%20180%20%3D%20120%5Cleft%281%2B0.05%5Cright%29%5Et%20%5C%5C%5C%5C%20%20%5CRightarrow%20180%20%3D%20120%5Cleft%281.05%20%29%5Et%20%5C%5C%5C%5C)
![\Rightarrow \frac{180}{120}=1.05^t \\\\\Rightarrow 1.5=1.05^t](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7B180%7D%7B120%7D%3D1.05%5Et%20%5C%5C%5C%5C%5CRightarrow%201.5%3D1.05%5Et)
[taking log both sides]
weeks
Hence, after 8.31 weeks the stock has been sold for $180.
Answer:
![4,280\ passes](https://tex.z-dn.net/?f=4%2C280%5C%20passes)
Step-by-step explanation:
Let
x -----> the number of annual visitors pass sold
we know that
To find out the number of annual visitor passes sold, divide the total amount raised by the cost of a pass.
so
The linear equation that represent this problem is
![12.50x=53,500](https://tex.z-dn.net/?f=12.50x%3D53%2C500)
Solve for x
Divide by 12.50 both sides
![x=\frac{53,500}{12.50}=4,280\ passes](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B53%2C500%7D%7B12.50%7D%3D4%2C280%5C%20passes)
Answer:
6x^3y^2z sqrt.6xyz
Step-by-step explanation: