Solve the Problem. -An Initial Deposit of $45,000 Is Made into an Account

question 33

Multiple Choice

Solve the problem.
-An initial deposit of $45,000 is made into an account that earns 5.4% compounded continuously. Money is then withdrawn at a constant rate of $2,700 a year until the amount in the account is 0. Find the amount in the
Account at any time t. When is the amount 0? What is the total withdrawn from the account?

• A) . The account will be depleted after about 35.1 years. A total of about $94,770 will have been withdrawn at that time.
• B) . The account will be depleted after about 42.6 years. A total of about $115,130 will have been withdrawn at that time.
• C) . The account will be depleted after about 15.4 years. A total of about $41,580 will have been withdrawn at that time.
• D) . The account will be depleted after about 20.5 years. A total of about $55,350 will have been withdrawn at that time.

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Definitions:

Responsive And Sensitive

Being responsive and sensitive involves reacting quickly and appropriately to stimuli or emotional cues, showing an acute awareness of the feelings and needs of others.

Negative Emotions

Feelings that are generally considered to be distressing and unpleasant, such as sadness, anger, and fear.

Treat

A reward or gift, often given to positively reinforce behavior or as part of training.

Threat

A stimulus indicating the potential occurrence of harm, leading to responses aimed at avoiding or confronting the danger.