Illustrative Math - Algebra 2 - Unit 2 - Lesson 26

Kiran plans to save $200 per year. Bank A would pay 6% interest, and Bank B would pay 4% interest (both compounded annually). How many years will it take to save $10,000 if he uses Bank A? Bank B?

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Diego wonders how much money he could save over 25 years if he puts $150 a year into an account with 4% interest per year compounded annually. He calculates the following, but thinks he must have something wrong, since he ended up with a very small amount of money: What did Diego forget in his calculation? How much should his total amount be? Explain or show your reasoning.

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Is a^{3}+b^{3}=(a+b)(a^{2}-ab+b^{2}) an identity? Explain or show your reasoning.

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Is a^{4}+b^{4}=(a+b)(a^{3}-a^{2}b-ab^{2}+b^{3}) an identity? Explain or show your reasoning.

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The formula for the sum s of the first n terms in a geometric sequence is given by s=a(\frac{1-r^{n}}{1-r}, where a is the initial value and r is the common ratio.A medicine is prescribed for a patient to take 700 mg every 12 hours for 5 days. After 12 hours, 4% of the medicine is still in the body. How much of the medicine is in the body after the last dose?

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