Annuities and recurring-payment models

Practice the precalculus mathematics of annuities, recurring deposits and amortization using fully specified hypothetical rates. Build payment timelines, distinguish beginning-of-period from end-of-period deposits, and connect future value and present value to finite geometric sums.

Twelve single-select and multiselect problems develop from short timelines to payment reconstruction, missed deposits and loan-balance reasoning. Explanations show the compounding periods, units and checks behind each result. These idealized models assume the stated fixed rates and omit fees and taxes; they are mathematical exercises.