Solve the Problem $A ( t ) = P e ^ { r t }$

question 103

Multiple Choice

Solve the problem.
-An investment grows exponentially under continuous compounding. After 2 yr, the amount in the account is $6,962.58. After 5 yr, the amount in the account is $8,089.36. Use the model $A ( t ) = P e ^ { r t }$ to
a. Find the interest rate r. Round to the nearest percent.
b. Find the original principal P. Round to the nearest dollar.
c. Determine the amount of time required for the account to reach a value of $17,000. Round to the
Nearest year.

• A) \(r = 6 \%\);
• \(P = \$ 6,000\);
• \(\mathrm { t } = 17 \mathrm { yr }\)
• B) \(r = 5 \%\);
• \(P = \$ 6,000\);
• \(\mathrm { t } = 21 \mathrm { yr }\)
• C) \(r = 5 \%\);
• \(P = \$ 6,300\);
• \(\mathrm { t } = 20 \mathrm { yr }\)
• D) \(r = 5 \%\);
• \(P = \$ 6,300\);
• \(\mathrm { t } = 19 \mathrm { yr }\)

Recognize the role of stress, its definitions, and responses in health and well-being.

Identify coping strategies and their effectiveness, including emotion-focused and problem-focused strategies.

Describe the process and stages of adapting to stress and traumatic events.

Explain the importance of social support and its effect on stress coping and physical health.