Question 1026431
you must mean raised to the t power.


your possible selections are:


P = 10,000(0.2)^t.
P = 10,000(0.8)^t
P = 10,000(1.2)^t
P = 10,000(1.8)^t 


th4 symbol ^ indicates exponentiation.


a 20% increase year means that 10,000 is multiplied by .2 and than added to 10,000 to get:


year 0 = 10,000
year 1 = 10,000 + .2 * 10,000 = 10,000 * 1.2
year 2 = (10,000 * 1.2) * 1.2 = 10,000 * 1.2^2
year 3 = (10,000 * 1.2^2) * 1.2 = 10,000 * 1.2^3.


t represents the exponent.


the correct formula is P = 10,000(1.2)^t


that's your third selection.