Answer: 6 hours
Step-by-step explanation:
Given, Tim and Jim are working on a school project together.
Tim takes 10 hours to complete the school project.
If Jim worked alone, it would take him 15 hours
Let t be the time they both take if they work together.
Then, 
So, it will take<u> 6 hours</u> to complete the school project together .
Answer:
The exponential function for the US population is:
Step-by-step explanation:
Let be supposed that US population can be modelled by means of the following exponential function:
Where:
- Time, measured in years. Where t = 0 for 1970.
- Initial population, in millions inhabitants.
- Exponential rate constant, in years.
- Population, in millions inhabitants.
Each constant is found hereafter:
A
B
The exponential function for the US population is:
First, the total difference of the amount of people living in the town from 1998 to 2005 is 7945-5700 or 2245 people. To find out how many years it took for this growth, we would need to subtract 1998 from 2005 to get 7 years. So, in 7 years, the town gained 2245 people. If we divide 2245 by 7 to get the unit rate, we will find that the change in population is 320.71... people per year, or if rounded, 321 people per year, which is a.
Answer: $434, 306.4
Step-by-step explanation:
From the question,
P= $163,000
R= 14% ; 14/100= 0.14
T=7 years
From the formula,
A= Pr e^t
A= 163000e^0.14(7)
= 163000e^0.98
= $434,306.4
