The number of students enrolled at a college is 17 comma 000 and grows 6​% each year. Complete parts ​(a) through ​(e).

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Part 1
​a) The initial amount a is
  
17,000.
Part 2
​b) The percent rate of change is 6​%, so the growth factor b is 1plus
  
0.06equals
  
1.06.
Part 3
​c) To find the number of students enrolled after one​ year, you calculate 17 comma 000times
  
1.06.
Part 4
​d) Complete the equation yequals17,000 times 1.06 Superscript x
  
  
  
to find the number of students enrolled after x years.
Part 5
​e) Use your equation to predict the number of students enrolled after 25 years.
After 25 ​years, there will be
  
enter your response here students enrolled.
​(Round to the nearest whole number as​ needed.)

After 25 years, there will be 82,479 students enrolled.