Final answer:
It would take approximately 3 months for the account balance to reach zero.
Step-by-step explanation:
To find out when the value of the account would reach zero, we can set up an equation.
Let x represent the number of months since the last deposit. The equation would be: 2000 - 900.01x = 0
Solving this equation will give us the value of x, which represents the number of months it would take for the account balance to be zero. Let's solve it:
- Subtract 2000 from both sides: -900.01x = -2000
- Divide both sides by -900.01: x = 2.222
Rounded to the nearest whole number, it would take approximately 3 months for the account balance to reach zero.