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Kaylis [27]
3 years ago
7

What is the price of discount is applied #6,8,10

Mathematics
1 answer:
son4ous [18]3 years ago
5 0
6.  $14*0.045= $<span>0.63
7.   $7 *0.0625= $ </span>0.4375
8.  $9 *0.7= $6.30

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A model for the population in a small community after t years is given by P(t)=P0e^kt.
LUCKY_DIMON [66]
\bf \textit{Amount of Population Growth}\\\\&#10;A=Ie^{rt}\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;I=\textit{initial amount}\\&#10;r=rate\to r\%\to \frac{r}{100}\\&#10;t=\textit{elapsed time}\\&#10;\end{cases}

a)

so, if the population doubled in 5 years, that means t = 5.  So say, if we use an amount for "i" or P in your case, to be 1, then after 5 years it'd be 2, and thus i = 1 and A = 2, let's find "r" or "k" in your equation.

\bf \textit{Amount of Population Growth}\\\\&#10;A=Ie^{rt}\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\to &2\\&#10;I=\textit{initial amount}\to &1\\&#10;r=rate\\&#10;t=\textit{elapsed time}\to &5\\&#10;\end{cases}&#10;\\\\\\&#10;2=1\cdot e^{5r}\implies 2=e^{5r}\implies ln(2)=ln(e^{5r})\implies ln(2)=5r&#10;\\\\\\&#10;\boxed{\cfrac{ln(2)}{5}=r}\qquad therefore\qquad \boxed{A=e^{\frac{ln(2)}{5}\cdot t}} \\\\\\&#10;\textit{how long to tripling?}\quad &#10;\begin{cases}&#10;A=3\\&#10;I=1&#10;\end{cases}\implies 3=1\cdot e^{\frac{ln(2)}{5}\cdot t}

\bf 3=e^{\frac{ln(2)}{5}\cdot t}\implies ln(3)=ln\left( e^{\frac{ln(2)}{5}\cdot t} \right)\implies ln(3)=\cfrac{ln(2)}{5} t&#10;\\\\\\&#10;\cfrac{5ln(3)}{ln(2)}=t\implies 7.9\approx t

b)

A = 10,000, t = 3

\bf \begin{cases}&#10;A=10000\\&#10;t=3&#10;\end{cases}\implies 10000=Ie^{\frac{ln(2)}{5}\cdot 3}\implies \cfrac{10000}{e^{\frac{3ln(2)}{5}}}=I&#10;\\\\\\&#10;6597.53955 \approx I
3 0
3 years ago
Which statement is true about the function f(x) = -x?
Nataly [62]

Answer:

The answer is "It has the same domain as the function f(x) = --x".

Step-by-step explanation:

If we consider its parent function that is: y= x

Domain function is: x \in (0, \infty)

The range function is: y \in (0, \infty)

The function has both the same (domain and range).

6 0
3 years ago
Video GameOnions$.37 eachTurkey$1.89 lb.Green Beans$0.53 a canCorn$0.59 an earHeavenly Ham$1.99 a poundPotatoes$4.75 a sackApple
Stolb23 [73]

Answer:

0.3145

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6 0
2 years ago
Lydia wants to find the height of a flagpole. She measures the height
Solnce55 [7]

Answer:

10 ft.

Step-by-step explanation:

8.8 ÷ 4= 2.2

22÷2.2= 10

6 0
3 years ago
A rectangle has an area 12cm². If the length of the rectangle is ( x + 1 )cm and the width is x cm, find the possible value(s) o
Komok [63]
X can be 3 because:
(3+1)(3)=(4)(3)=12
I believe that is the only possible value for x.
Good luck to you!
5 0
2 years ago
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