Question

100 Points! Algebra question. Photo attached. Thank you!

Answer 1

Answer: k= -.5543

Explanation:

Given:

t=1

P(t)=10532

`P(t)=(22000)/(1+1.2e^(-kt) )` >substitute what you know and solve for k

`10532=(22000)/(1+1.2e^(-k(1)) )` >cross multiply

`10532(1+1.2e^(-k))=22000}` >divide both sides by 10532

`1+1.2e^(-k)= 2.088872` >subtract 1 from both sides

`1.2e^(-k)= 1.088872` >divide both sides by 1.2

`e^(-k)= 1.74073` >take "ln" of both sides

`ln (e^(-k))= ln 1.74073` >simplify

-k=.55430 >bring over negative and round

k= -.5543