Questions from Calculus


Q: Compute the value of .12121̅2̅1̅2̅ as a

Compute the value of .12121̅2̅1̅2̅ as a geometric series with a = .1212 and r = .0001. Compare your answer with the result of Example 2.

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Q: Compute the total new spending created by a $10-billion

Compute the total new spending created by a $10-billion federal income tax cut when the population’s marginal propensity to consume is 95%. Compare your result with that of Example 3, and note how a s...

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Q: Compute the effect of a $20-billion federal income tax

Compute the effect of a $20-billion federal income tax cut when the population’s marginal propensity to consume is 98%. What is the “multiplier” in this case?

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Q: Consider a perpetuity that promises to pay $100 at the beginning

Consider a perpetuity that promises to pay $100 at the beginning of each month. If the interest rate is 12% compounded monthly, the present value of $100 in k months is 100(1.01)-k. (a) Express the ca...

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Q: Consider a perpetuity that promises to pay P dollars at the end

Consider a perpetuity that promises to pay P dollars at the end of each month. (The first payment will be received in 1 month.) If the interest rate per month is r, the present value of P dollars in k...

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Q: A generous corporation not only gives its CEO a $1,

A generous corporation not only gives its CEO a $1,000,000 bonus, but gives her enough money to cover the taxes on the bonus, the taxes on the additional taxes, the taxes on the taxes on the additiona...

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Q: The coefficient of restitution of a ball, a number between 0

The coefficient of restitution of a ball, a number between 0 and 1, specifies how much energy is conserved when the ball hits a rigid surface. A coefficient of .9, for instance, means a bouncing ball...

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Q: A patient receives 6 mg of a certain drug daily. Each

A patient receives 6 mg of a certain drug daily. Each day the body eliminates 30% of the amount of the drug present in the system. After extended treatment, estimate the total amount of the drug that...

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Q: A patient receives 2 mg of a certain drug each day.

A patient receives 2 mg of a certain drug each day. Each day the body eliminates 20% of the amount of drug present in the system. After extended treatment, estimate the total amount of the drug presen...

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Q: A patient receives M mg of a certain drug each day.

A patient receives M mg of a certain drug each day. Each day the body eliminates 25% of the amount of drug present in the system. Determine the value of the maintenance dose M such that after many day...

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