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Money in a Bank Account Grows Continuously at an Annual

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Money in a bank account grows continuously at an annual rate of 4%. Suppose $10,000 is put into an account at time t = 0. If B is the balance in the account after t years, what is the differential equation for B and its solution?


Definitions:

Cellular Damage

Refers to injury to cells due to external factors like pathogens, toxins, or internal factors such as genetic mutations, leading to impaired cell function or death.

Aging

The process of becoming older, a physiological and biological progression that involves changes in physical, psychological, and social attributes over time.

Free Radicals

Unstable atoms or molecules that have unpaired electrons, which can cause damage to cells, proteins, and DNA by oxidative stress.

Unstable Molecules

Chemical species with a short existence due to an inability to maintain a stable electronic configuration or structure.

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