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How Long Would It Take for Nico to Save an Adequate

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How long would it take for Nico to save an adequate amount for retirement if he deposits $40,000 per year into an account beginning one year from today that pays 12 percent per year if he wishes to have a total of $1,000,000 at retirement?


Definitions:

Exponentially Depreciates

Exponential depreciation is a method of calculating the decrease in value of an asset at a rate which rapidly reduces its value at the beginning and slows down over time.

Piecewise Function

A mathematical function defined by multiple sub-functions, each applicable to a certain interval of the overall function's domain.

Cusp

On a graph, where two lines of a piecewise function meet.

Comprehensive Insurance

Insurance coverage that protects against a wide range of damages or losses, including those not caused by a collision for vehicles.

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