Task 1: Comparing Financial Situations

1. You may have to decide to invest your money using simple interest, compound interest, or an annuity. Determine the final amount after 20 years with a 5% annual interest rate if you invest $10 000 in:

1. an account that earns simple interest.
2. an account that earns compound interest (compounded annually).
3. an annuity where you invest the $10 000 evenly over the course of 20 years annually.
4. Which option you would choose and why? Make sure to include if each situation is reasonable and other factors that may affect your decision.

2. Determine the final amount after 20 years with a 5% annual interest rate if:

1. you invest $10 000 in an account that earns compound interest (compounded quarterly)
2. you invest in an annuity where you invest $500 every 3 months over the course of 20 years compounded quarterly
3. Discuss which option you would choose and why. Make sure to include if each situation is reasonable and other factors that may affect your decision.

Task 2: Comparing Powers

Write a simplifying powers question that has the answer 2x4 for each situation and simplify the question.

y3

1. Begins with two radicals
2. Uses at least three of powers of powers, multiplying powers with like bases, dividing powers with like bases, negative exponents, and powers of a quotient

Task 3: Math Journal

Choose one entry from your math journal this unit that you found the most difficult to remember either when to use it or how to use it.

• Why did you find this difficult to remember when/how to use it? Explain fully.
• Was this new to you or had you learned this before? Explain fully.
• What did you do to help you remember when/how to use it? Explain fully.