IM Alg2.2.26 Practice: Using the Sum
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?
How many years will it take to save $10,000 if he uses Bank B?
Find the sum of the first 20 terms of each sequence:
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.
Which one of these equations is equivalent to for ?
Is an identity? Explain or show your reasoning.
Is an identity? Explain or show your reasoning.
The formula for the sum of the first terms in a geometric sequence is given by , where is the initial value and 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?