The function f(t)=3,502.86(1.15)(t−12) models the amount of money in Gavin's investment account after t years. Gavin says this means that the initial amount in the account was $3,502.86. Is he correct? Why or why not?

A. No, because you need to multiply 3,502.86 to find the initial amount.

B. No, because f(0) is not 3,502.86.

C. Yes, because 3,502.86 is multiplied by the exponential term.

D. Yes, because f(0)=3,502.86

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

sounds & other waves originate from any vibrating object