Answer: There is 3.994% continuous growth rate per hour.
Step-by-step explanation:
Since we have given that
Initial bacteria = 2600
After two and a half hours,
Number of bacteria = 2873
We need to find the continuous growth rate per hour.
As we know the equation for continuous growth rate per hour.
![y=y_0e^{rt}\\\\2873=2600e^{2.5r}\\\\\dfrac{2873}{2600}=e^{2.5r}\\\\1.105=e^{2.5r}\\\\\text{Taking log on both the sides}\\\\\ln 1.105=2.5r\\\\0.0998=2.5r\\\\r=\dfac{0.0998}{2.5}\\\\r=0.0399\times 100\\\\r=3.994\%](https://tex.z-dn.net/?f=y%3Dy_0e%5E%7Brt%7D%5C%5C%5C%5C2873%3D2600e%5E%7B2.5r%7D%5C%5C%5C%5C%5Cdfrac%7B2873%7D%7B2600%7D%3De%5E%7B2.5r%7D%5C%5C%5C%5C1.105%3De%5E%7B2.5r%7D%5C%5C%5C%5C%5Ctext%7BTaking%20log%20on%20both%20the%20sides%7D%5C%5C%5C%5C%5Cln%201.105%3D2.5r%5C%5C%5C%5C0.0998%3D2.5r%5C%5C%5C%5Cr%3D%5Cdfac%7B0.0998%7D%7B2.5%7D%5C%5C%5C%5Cr%3D0.0399%5Ctimes%20100%5C%5C%5C%5Cr%3D3.994%5C%25)
Hence, there is 3.994% continuous growth rate per hour.
Answer:
25%
Step-by-step explanation:
Let the original price of A pair of skis be $100
discount given on A pair of skis = 20% on original price
discount value of A pair of skis in $ = 20% * $100
= (20 * 100)/100 = $20
discounted price of A pair of skis = original price - discount = 100 -20 = $80
in order to increase discounted price to original price of $100
there must be increase of $20 to discounted price which is $80
percentage increase on discounted price to return to the original price =
![(increased \ amount / discounted \ price) * 100 \\=>( 20/80) * 100 = 25\\](https://tex.z-dn.net/?f=%28increased%20%5C%20amount%20%2F%20discounted%20%5C%20price%29%20%2A%20100%20%5C%5C%3D%3E%28%2020%2F80%29%20%2A%20100%20%3D%20%2025%5C%5C)
therefore 25% must be increase on discounted price to return to the original price
Answer:
53
Step-by-step explanation:
You can remove the center block so it only gets rid of 1 space.
9*6-1
Answer:
w = 12
Step-by-step explanation: