A Person Withdraws Money from a Trust Fund at a Rate

question 6

Short Answer

A person withdraws money from a trust fund at a rate of $12,000 per year, and the account is earning interest at a rate of 5% per year, compounded continuously. Write a differential equation for the balance, B, in the account as a function of time, t, in years and use it to calculate if B=$100,000.

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Definitions:

Borrower

An individual or entity that receives funds from a lender under the condition of returning it over time, with interest.

Lender

An individual, a financial institution or another entity that provides funds to others with the expectation that the funds will be repaid, typically with interest.

Current Liability

This refers to debts or obligations that are due to be paid within one year or within the normal operating cycle of the business, whichever is longer.

Current Assets

Assets that are expected to be converted into cash, sold, or consumed within one year or within the normal operating cycle.