Question

Find a recursive rule that models the exponential decay of y=32,000(0.95)^t

Exponential models
ANSWERED
asked 2021-05-14
Find a recursive rule that models the exponential decay of \(\displaystyle{y}={32},{000}{\left({0.95}\right)}^{{t}}\)

Expert Answers (1)

2021-05-15
Explicit: \(\displaystyle{P}{n}={P}{0}{\left({1}+{r}\right)}^{{n}}\)
Recursive: \(\displaystyle{P}{n}={\left({1}+{r}\right)}{P}{n}-{1}\)
\(\displaystyle{y}{\left({t}\right)}={1600}{\left({0.97}\right)}^{{t}}\)
y(t)=(1+(-0.05)y(t-1) =(0.95)y(t-1)
15
 
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