Hi, I've been trying to solve this question for a few days now, but I'm not even sure if my approach is right. I would appreciate any help. Thank you!
The question:
Combinatorics
Applicants for a position are offered a starting salary of 50,000 coins and at the beginning of each calendar year their salary will be increased by 20% of the previous year's salary. (That is, for example, in the fifth year, they receive an added 20% of the salary from the fourth year.) In addition, each year the employee receives a bonus of 2,000 coins for each year already worked. (for example, in the fifth year, this added bonus will be 8,000 coins)
a) Create a recursive equation for the salary of the candidate in the n-th year of employment in this company.
b) Find the solution of the equation and determine from it what would be the salary of the candidate in the twentieth year?
How I tried to solve it:
(but it didn't work because with the equation the result salaries are negative which is obviously not right)
The question:
Combinatorics
Applicants for a position are offered a starting salary of 50,000 coins and at the beginning of each calendar year their salary will be increased by 20% of the previous year's salary. (That is, for example, in the fifth year, they receive an added 20% of the salary from the fourth year.) In addition, each year the employee receives a bonus of 2,000 coins for each year already worked. (for example, in the fifth year, this added bonus will be 8,000 coins)
a) Create a recursive equation for the salary of the candidate in the n-th year of employment in this company.
b) Find the solution of the equation and determine from it what would be the salary of the candidate in the twentieth year?
How I tried to solve it:
(but it didn't work because with the equation the result salaries are negative which is obviously not right)