What the heck? Cannot figure out. Help!

Question

v(t)=25,900(0.76)^t

Answer 1

v(t) = 29,800(.76)^t could be a formula for how fast you investment or bank account loses value when the inflation rate is 24% per year, a little over double what it's been the past few months. if so, t measure time in years.

or it may be how an atomic element decays over time. then t may measure time in years, months, weeks, days, hours, minutes or seconds

common problem is calculating the half life, which doesn't depend on the initial amount

or use on an line graphinc calculater. It's an exponential curve, approaching the x axis as the horizontal asymptote

half life is when 1/2 = .76^t

take natural logs of both sides

ln.5 = tln.76

t=ln.5/ln.76 = about 2.5257 time periods

in about 2 1/2 years your $25,800 bank acount loses half its value, down to $12,900 at 24% inflation

a physical element decays from 4 grams to 2 grams in about 2 1/2 time perriods, such as months or seconds

Answer 2

This is an exponential equation.

It is saying that something with an initial value of 25,900 units is decaying at a rate of 24%. (1 - 0.24 = 0.76) for each specified time unit.

The is no question to answer about it.