Formula needed

[disproportions]

I apologize, but I really have no idea how to go about creating this formula. I think it's pretty simple though.

If I have a dollar amount represented by X, I need to know how long it will take that number to reach 0 or any decimal below 1 if X is reduced by 2.9% every 9.2 days.

Thank you

 

[stapel]

If I have a dollar amount represented by X, I need to know how long it will take that number to reach 0 or any decimal below 1 if X is reduced by 2.9% every 9.2 days.

I think you could use a geometric-series formula, with the counter being the number of 9.2-day periods.

 

[disproportions]

Sorry

I did not have a Geometry course in High School, and struggled to get a D in College Algebra. I was hoping the formula could be Algebraic in origin, not another form of math.

 

[stapel]

I did not have a Geometry course in High School, and struggled to get a D in College Algebra. I was hoping the formula could be Algebraic in origin, not another form of math.

Geometric series are algebraic in nature.

You can find many lessons on the topic in this listing. Then set up with initial value a = X, counter i, and common ratio 0.972. Plug into the series-sum formula, setting the sum expression equal to 1. Solve, and then intepret within the context of the exercise.

If you get stuck, please reply showing your work and reasoning so far. Thank you!