Answer: In perpetuity
Step-by-step explanation:
Annual interest earned is $100,000*.09= $9,000
End of year 1 total is: 100,000+9,000-7,500 or 101,500
The account is growing due to the fact that annual annuity is less than the interest earned by the principal. The annuity will be able to paid out in perpetuity and the principal balance will continue to grow.