Question

Exponential and growth. Pls help me T^T

Answer 1

Answer: r = -0.14

Explanation:

`K=K_o\cdot e^(rn)\quad \text{where;}\\\bullet K\ \text{is the final amount of Kristinite}\\\bullet K_o\ \text{is the initial amount of Kristinite}\\\bullet r\ \text{is the rate of decay}\\\bullet n\ \text{is the number of seconds the decay has occurred}\\\\\\\text{Given:}\\\\K: (1)/(2)K_o\\\\r: unknown\\\\n: 2\\\\\\K=K_o\cdot e^(rn)\\\\\\(1)/(2)K_o=K_o\cdot e^(r(5))\\\\\\(1)/(2)=e^(5r)\\\\\\ln(1)/(2)=5r\\\\\\(ln(1)/(2))/(5)=r\\\\\\-0.14=r\\`