Questions from College Mathematics


Q: Compute the odds in favor of obtaining. A number divisible

Compute the odds in favor of obtaining. A number divisible by 3 in a single roll of a die

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Q: Provident Bank also offers a 3-year CD that earns 1

Provident Bank also offers a 3-year CD that earns 1.64% compounded continuously. (A) If $10,000 is invested in this CD, how much will it be worth in 3 years? (B) How long will it take for the account...

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Q: A note will pay $50,000 at maturity 5 years

A note will pay $50,000 at maturity 5 years from now. How much should you be willing to pay for the note now if money is worth 6.4% compounded continuously?

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Q: A family paid $99,000 cash for a house.

A family paid $99,000 cash for a house. Fifteen years later, the house was sold for $195,000. If interest is compounded continuously, what annual nominal rate of interest did the original $99,000 inve...

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Q: Referring to Problem 33, in how many years will the $

Referring to Problem 33, in how many years will the $10,000 be due in order for its present value to be $5,000? Data from Problem 33: Solving A = Pert for P, we obtain P = Ae-rt which is the present...

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Q: How long will it take money to double if it is invested

How long will it take money to double if it is invested at 5% compounded continuously?

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Q: At what nominal rate compounded continuously must money be invested to double

At what nominal rate compounded continuously must money be invested to double in 10 years?

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Q: A woman invests $5,000 in an account that earns

A woman invests $5,000 in an account that earns 8.8% compounded continuously and $7,000 in an account that earns 9.6% compounded annually. Use graphical approximation methods to determine how long it...

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Q: (A) Show that the rate r that doubles an investment

(A) Show that the rate r that doubles an investment at continuously compounded interest in t years is given by (B) Graph the doubling-rate equation from part (A) for 1 ≤ t â...

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Q: The continuous compound rate of decay of carbon-14 per year

The continuous compound rate of decay of carbon-14 per year is r = -0.000 123 8. How long will it take a certain amount of carbon-14 to decay to half the original amount? (Use the radioactive decay mo...

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