Respuesta :

Answer:

9.76 years turns 900 dollars into 1200 dollars.

Step-by-step explanation:

A(t) = 900*(1.03)^t

1200 = 900 * (1.03)^t       Divide by 900

1200/900 = (1.03)^t

1.333 = 1.03^t                   Take the log of both sides.

  • log(1.3333) = t * log(1.03)
  • log 1.3333 = .1249
  • log 1.03     = .0128

1.249 = 0.0128*t

1.249/0.0128 t = 9.76 years.