Question

The percentage of executives in a certain industry receiving cash signing bonuses is increasing. The percentage is given by the function ​B(t)​=4.866(1.335​)^t​, where t is the number of years since 1996. Find the percentage of executives receiving signing bonuses in 2001 and in 2002.

Answer 1

The percentage of executives receiving signing bonuses in 2001 and 2002 is found by calculating B(5) and B(6) from the given function B(t) = 4.866(1.335)^t respectively, where 't' is the number of years since 1996.

Step-by-step explanation:

The question asks to find the percentage of executives receiving signing bonuses in 2001 and 2002, based on the growth function B(t) = 4.866(1.335)t, where t represents the years since 1996.

To calculate the percentage for 2001, we'll plug in t = 2001 - 1996 = 5:

B(5) = 4.866(1.335)5

Similarly, for 2002, we'll use t = 2002 - 1996 = 6:

B(6) = 4.866(1.335)6

After calculating these expressions, the resulting values will represent the percentages of executives receiving signing bonuses in 2001 and 2002 accordingly.