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0
753
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A(t)=Ie^rt

A(t)=75e^(-1.2)

A(t)=75(0.301194)

A(t)=22.59

How is this the answer? I'm plugging it into my calculator and I'm confused if I'm doing it wrong. Please help. What does "e" even represent?

 Feb 10, 2015

Best Answer 

 #3
avatar+33661 
+5

e is a number approximately equal to 2.71828, though its decimal expansion is infinitely long.

It can be expressed as (for example):

 

$$e=\sum_{n=0}^\infty\frac{1}{n!}=1 + \frac{1}{1}+\frac{1}{1*2}+\frac{1}{1*2*3}+...$$

or

$$e=\lim_{n\rightarrow \infty}(1+\frac{1}{n})^n$$

 

In your case you have A(t) = I*ert where I and r must be known constants (I = 75).

 

Your next lines shouldn't have A(t), but should have A(a specific time such that r*this time = -1.2).

.

 Feb 10, 2015
 #1
avatar+130511 
+5

"e" is the natural log base = the irrational number 2.718............

So e^(-1.2)  = about 0.3011942119122021

And multiplying this by 75 = about 22.589 = about 22.59

 

 Feb 10, 2015
 #2
avatar+118723 
+5

A(t)=Ie^rt

What are your values for t, l, and r ?

I assume l is 75   what about t and  r

 Feb 10, 2015
 #3
avatar+33661 
+5
Best Answer

e is a number approximately equal to 2.71828, though its decimal expansion is infinitely long.

It can be expressed as (for example):

 

$$e=\sum_{n=0}^\infty\frac{1}{n!}=1 + \frac{1}{1}+\frac{1}{1*2}+\frac{1}{1*2*3}+...$$

or

$$e=\lim_{n\rightarrow \infty}(1+\frac{1}{n})^n$$

 

In your case you have A(t) = I*ert where I and r must be known constants (I = 75).

 

Your next lines shouldn't have A(t), but should have A(a specific time such that r*this time = -1.2).

.

Alan Feb 10, 2015

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