Chapter 6 - Exponential Functions and Sequences - 6.4 - Exponential Growth and Decay - Exercises - Page 319: 13

$y=10,000(1.65)^t$

Initial value $a=\$10,000$ Rate of growth $r=65\%=0.65$ The exponential growth function is $\Rightarrow y=a(1+r)^t$ Substitute $10,000$ for $a$ and $0.65$ for $r$. $\Rightarrow y=10,000(1+0.65)^t$ Simplify. $\Rightarrow y=10,000(1.65)^t$.