Answer:
D. X< 4
Step-by-step explanation:
12(x-2) < 24
divide both sides by 12
so we get
(x-2) < 2
now add 2 to both sides
x < 4
Answer: 22 hours 11 minutes
<u>Step-by-step explanation:</u>
![P=P_o\cdot e^{(kt)}\\\\\text{Since the initial population is doubled in 14 hours, then:}\\2P_o=P_o\cdot e^{k\cdot 14}\\2=e^{14k}\\ln\ 2=ln\ e^{14k}\\ln\ 2=14k\\\\\dfrac{ln\ 2}{14}=k\\\\0.0495=k\\\\\\\text{Now that the k-value has been determined, we can find the time when the}\\\text{population is tripled:}\\3P_o=P_o\cdot e^{0.0495t}\\3=e^{0.0495t}\\ln\ 3=ln\ e^{0.0495t}\\ln\ 3=0.0495t\\\\\dfrac{ln\ 3}{0.0495}=5\\\\22.19=t\\\\22\ hrs +0.19\ hrs](https://tex.z-dn.net/?f=P%3DP_o%5Ccdot%20e%5E%7B%28kt%29%7D%5C%5C%5C%5C%5Ctext%7BSince%20the%20initial%20population%20is%20doubled%20in%2014%20hours%2C%20then%3A%7D%5C%5C2P_o%3DP_o%5Ccdot%20e%5E%7Bk%5Ccdot%2014%7D%5C%5C2%3De%5E%7B14k%7D%5C%5Cln%5C%202%3Dln%5C%20e%5E%7B14k%7D%5C%5Cln%5C%202%3D14k%5C%5C%5C%5C%5Cdfrac%7Bln%5C%202%7D%7B14%7D%3Dk%5C%5C%5C%5C0.0495%3Dk%5C%5C%5C%5C%5C%5C%5Ctext%7BNow%20that%20the%20k-value%20has%20been%20determined%2C%20we%20can%20find%20the%20time%20when%20the%7D%5C%5C%5Ctext%7Bpopulation%20is%20tripled%3A%7D%5C%5C3P_o%3DP_o%5Ccdot%20e%5E%7B0.0495t%7D%5C%5C3%3De%5E%7B0.0495t%7D%5C%5Cln%5C%203%3Dln%5C%20e%5E%7B0.0495t%7D%5C%5Cln%5C%203%3D0.0495t%5C%5C%5C%5C%5Cdfrac%7Bln%5C%203%7D%7B0.0495%7D%3D5%5C%5C%5C%5C22.19%3Dt%5C%5C%5C%5C22%5C%20hrs%20%2B0.19%5C%20hrs)
![22\ hours + \bigg[\dfrac{19}{100}=\dfrac{x}{60}\bigg]\\\\22\ hours + 11\ minutes](https://tex.z-dn.net/?f=22%5C%20hours%20%2B%20%5Cbigg%5B%5Cdfrac%7B19%7D%7B100%7D%3D%5Cdfrac%7Bx%7D%7B60%7D%5Cbigg%5D%5C%5C%5C%5C22%5C%20hours%20%2B%2011%5C%20minutes)
Answer:
option no (C) is correct
Step-by-step explanation:
200-50= 150
So you need to get 150 dollars in a month. If you get 20 dollars a week, then 150/20 will give you 7.5. So it will take you 7.5 weeks to get 150 dollars
What do you wanna know?
The annual interest rate is 2000•0,05=100
The new price you have to pay is 2000•1.05 (change factor)