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1. A radioactive chemical has a decay rate of approximately 10% per year. Suppose that this...

1. A radioactive chemical has a decay rate of approximately 10% per year. Suppose that this chemical is released into the atmosphere each year for 11 yrs at a constant rate of 2 lb per year. How much of this chemical will remain in the atmosphere after 11 yrs?

The amount of chemical remaining in the atmosphere is how many pounds?

2. In the year 2004 ​(t=​0), the world reserves of natural gas were approximately 9671 trillion cubic feet. In that same​ year, the world consumption of natural gas was approximately 104.1 trillion cubic​ feet, and was growing exponentially at about 2.6 %per year. If the demand continues to grow at this​ rate, and no new reserves of natural gas are​ found, in what year will the world reserves of this resource be​ depleted?

The world reserves will be depleted in the year (round to nearest year)???

3. At age​ 35, Rose earns her MBA and accepts a position as a vice president of an asphalt company. Assume that she will retire at the age of​ 65, having received an annual salary of ​$85,000​, and that the interest rate is 5 ​%, compounded continuously.

a​)What is the accumulated present value of her ​position?

b​)What is the accumulated future value of her ​position?

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