1. A certain stock opens with a price of $0.59. Over the first three days, the value of the stock increases on average by 50% per day. If this trend continues, how many days will it take for the stock to be worth $6?

A#3-13.1-2 Homework

1. A certain stock opens with a price of $0.59. Over the first three days, the value of the stock increases on average by 50% per day. If this trend continues, how many days will it take for the stock to be worth $6?

2. Sue has a lamp from her great-grandmother. She has it appraised and finds it is worth $1000. She wants to sell it, but the appraiser tells her that the value is appreciating by 8% per year. In how many years will the value of the lamp be $2000?

3. A quantity of insulin used to regulate sugar in the bloodstream breaks down by about 5% each minute after the injection. A bodyweight-adjusted dose is generally 10 units. How long does it take for the remaining insulin to be half of the original injection?

4. Music Stringed instruments like guitars and pianos create a note when a string vibrates back and forth. The distance that the middle of the string moves from the center is called the amplitude (a), and for a guitar, it starts at 0.75 mm when a note is first struck. Amplitude decays at a rate that depends on the individual instrument and the note, but a decay rate of about 25% per second is typical. Calculate the time it takes for an amplitude of 0.75 mm to reach 0.1 mm.