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nlexa [21]
3 years ago
11

Write an exponential function to model the situation. A population of 470 animals decreases at an annual rate of 12%.

Mathematics
1 answer:
Tamiku [17]3 years ago
5 0
\bf \qquad \textit{Amount for Exponential Decay}
\\\\
A=P(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &470\\
r=rate\to 12\%\to \frac{12}{100}\to &0.12\\
t=\textit{elapsed time}\\
\end{cases}
\\\\\\
A=470(1-0.12)^t\implies A=470(0.88)^t
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\angle DBC=\frac{\pi}{3}\ radian \\ \\ \\ So, \ by \ rule \ of \ three: \\\\ \\ \pi \ radian \rightarrow 180 \ degrees \\ \\ \pi/3 \ radian \rightarrow x \ degrees \\ \\ \\ x =\frac{180\pi}{3\pi}=60^{\circ} \\ \\ \\ Finally: \\ \\ \boxed{\angle DBC=x=60^{\circ}}

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4 0
3 years ago
HELP PLEASE <br> Write the inequality that models the number granola bars (12) you need to buy.
Goshia [24]
The correct question in the attached figure

Let
x-------------> <span>the number of granola bars 
y-------------> the pounds of fruit

we know that

if 12 bars------------> cost $12
 1 bars--------------> X
X=12/12---> x=$1
1 bar---------> cost $1

if 9 pounds of fruit----------> cost $36
 1 pound-------------------> X
X=36/9--------> x=$4
1 pound -------> cost $4

</span><span>expression for the total cost=(1)*x+(4)*y----------> x+4y
</span><span>x=12
y=9
then
</span>the total cost=12+4*9----- $48

<span>an inequality that compares
the total cost with the amount you have to spend is
x+4y<=48
</span>
using a graph tool see the attached figure

<span>the inequality that models the number of granola bars you need to buy is
</span>
x<=12  the solution for the number of granola bars is the interval [0,12]

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3 years ago
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