Questions from General Calculus


Q: How many years are required for an investment to double in value

How many years are required for an investment to double in value if it is appreciating at the yearly rate of 4% compounded continuously?

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Q: What yearly interest rate (compounded continuously) is earned by an

What yearly interest rate (compounded continuously) is earned by an investment that doubles in 10 years?

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Q: If an investment triples in 15 years, what yearly interest rate

If an investment triples in 15 years, what yearly interest rate (compounded continuously) does the investment earn?

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Q: If real estate in a certain city appreciates at the yearly rate

If real estate in a certain city appreciates at the yearly rate of 15% compounded continuously, when will a building purchased in 2010 triple in value?

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Q: Suppose that the bank in Example 3 increased its fees by charging

Suppose that the bank in Example 3 increased its fees by charging a negative annual interest rate of -.9%. Find the balance after two years in a savings account if P0 = 10, 000 SFr.

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Q: How is the account in Exercise 15 changing when the balance is

How is the account in Exercise 15 changing when the balance is 9,500 SFr?

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Q: A farm purchased in 2000 for $1 million was valued at

A farm purchased in 2000 for $1 million was valued at $3 million in 2010. If the farm continues to appreciate at the same rate (with continuous compounding), when will it be worth $10 million?

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Q: In an animal hospital, 8 units of a sulfate were injected

In an animal hospital, 8 units of a sulfate were injected into a dog. After 50 minutes, only 4 units remained in the dog. Let f (t) be the amount of sulfate present after t minutes. At any time, the r...

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Q: A parcel of land bought in 1990 for $10,000

A parcel of land bought in 1990 for $10,000 was worth $16,000 in 1995. If the land continues to appreciate at this rate, in what year will it be worth $45,000?

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Q: Differentiate the functions. y = (2x4 - x +

Differentiate the functions. y = (2x4 - x + 1)(-x5 + 1)

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