Chapter 3 - Section 3.4 - Exponential and Logarithmic Equations - Exercise Set - Page 490: 112

$2.0$

Solve the given formula for $ t.$ $ A=Pe^{rt}\quad $ ... $/\div P $ $(A/P)=e^{rt}\quad $ ... $/\ln(...)$ $\ln(A/P)=rt\quad $ ... $/\div r $ $ t=\displaystyle \frac{\ln(A/P)}{r}$ Insert the values given in the table. $ t=\displaystyle \frac{\ln(12,000/8000)}{0.203}\approx $1.9973 (round to 1 dec. place)