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Goryan [66]
3 years ago
5

Suppose James has a credit card with a balance of $4289. Each month, the credit card company charges 5% interest. James pays off

all new purchases that he makes each month without paying off the old balance or its interest. He wants to know what the balance on his credit card will be one year from now.
Is this situation an example of exponential growth or exponential decay?
Mathematics
1 answer:
Sidana [21]3 years ago
6 0

The answer is exponential growth

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keep in mind that an absolute value expression is in effect a piece-wise.

\bf |x-4|\le 2\implies 
\begin{cases}
+(x-4)\le 2\\
-------\\
-(x-4)\le 2\\
x-4\ge -2
\end{cases}\implies 
\begin{array}{llll}
-2\le x-4\le 2\\\\
\textit{adding 4 to all 3 sides}\\\\
\boxed{2\le x \le 6}
\end{array}\\\\
-------------------------------\\\\
|x-5|\ \textgreater \  3\implies 
\begin{cases}
+(x-5)\ \textgreater \ 3\\
-------\\
-(x-5)\ \textgreater \  3\\
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\end{cases}\implies 
\begin{array}{llll}
3\ \textless \ x-5\ \textless \ -3\\\\
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\boxed{8\ \textless \ x\ \textless \ 2}
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3 years ago
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