Mathematics, 10.11.2019 07:31 itzzzabbi
Leaves were falling off a tree at an exponential rate beginning oct.1, on the 10th there were 5287 leaves. on the 21st there were 692 leaves
y=ae^kt
a) find k (constant of proportionality)
b) how many leaves were there on the tree before it started losing leaves?
c) on what date was there only one leaf?
any insight is appreciated
Answers: 1
![\bf \textit{Amount of Population Growth, \boxed{\textit{10th day}}} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill&5287\\ P=\textit{initial amount}\dotfill &P\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\dotfill &10\\ \end{cases} \\\\\\ A=5287e^{10r} \\\\[-0.35em] ~\dotfill](/tpl/images/0367/8399/11db5.png)
![\bf \textit{Amount of Population Growth, \boxed{\textit{21st day}}} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill&692\\ P=\textit{initial amount}\dotfill &P\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\dotfill &21\\ \end{cases} \\\\\\ 692=Pe^{21r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} 5287=Pe^{10r}\\ 692=Pe^{21r} \end{cases}](/tpl/images/0367/8399/9f07f.png)
![\bf ln\left( \cfrac{692}{5287}\right)=ln\left( e^{11r} \right)\implies ln\left( \cfrac{692}{5287}\right)=11r\implies \cfrac{ln\left( \frac{692}{5287}\right)}{11}=r \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill -0.18486\approx r~\hfill](/tpl/images/0367/8399/05fd8.png)
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 18:00, aaronhid3
Oscar and julie ashton are celebrating their 15th anniversary by having a reception hall. they have budgeted $4,500 for their reception. if the reception hall charges a $90 cleanup fee plus & 36 per person, find the greatest number of people that they may invite and still stay within their budget.
Answers: 1
Mathematics, 21.06.2019 20:00, beverlyamya
Three baby penguins and their father were sitting on an iceberg 0.50.50, point, 5 meters above the surface of the water. the father dove down 4.74.74, point, 7 meters from the iceberg into the water to catch dinner for his kids. what is the father penguin's position relative to the surface of the water?
Answers: 2
Mathematics, 22.06.2019 00:30, connormaxie
Answer 20 points and brainiest ! on the board, your teacher writes an example of how to find the median. one of the numbers is erased, leaving what is shown, 18, 30, 26,12 22. what is the median? a. 10 b. 20 c. 24 d. 28
Answers: 2
You know the right answer?
Leaves were falling off a tree at an exponential rate beginning oct.1, on the 10th there were 5287 l...
Questions in other subjects:
Mathematics, 27.11.2019 02:31
