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What interest rate would you prefer to be used to add interest to your savings: 8% applied on a continuous basis or 9% applied once a year?
If this growth rate persisted through its entire term of office of 4 years, what would GNP be at the time of the next election?
What has been the average annual growth rate in the distance covered each week by a typical motorist?
How many fish should the owner stock the lake with if they wish to ensure that the fish population will still be 500 in 5 years' time.
If their investment is expected to grow continuously at an annual rate of 4.5%, how much will they need to invest now?
I think the Federal Reserve System should control the nations money supply as they allow the stable expansions of the economy.
If e25,000 is deposited in an account where interest is credited on a daily basis that can be approximated. What will the final sum be after five years?
Current stocks of mineral M are 250 million tonnes. If stocks are continually being used up at annual rate of 9%, what amount of M will remain after 30 years?
A country's population is currently 32 million and is growing continuously. What will the population be in 20 years' time if this rate of growth persists?
If a firm faces the marginal cost function MC = 40 - 18q + 4.5q2, what would be the increase in total cost if output were increased from 30 to 40?
Find the change in consumer surplus when q increases from 2,025 to 2,500 owing to a price fall from £330 to £300.
Assume that an individual can choose the number of hours per day that they work up to a maximum of 12 hours. What mix of leisure and work will be chosen?
Derive an expression for the slope of the demand schedule; Demonstrate that this slope gets flatter as q increases from 0 to 600.
A car dealer has on offer a special ‘0% finance' deal on the advertised price of £8,671 for a particular model. Which method would you use to purchase this car?
If consumption is expected to grow by 4.5% a year, how long will these reserves last?
What rate of growth of consumption will allow the current reserves of a natural resource to last for the next 50 years if this year's consumption is forecast to
What percentage reduction in the annual consumption rate will ensure that resource never runs out, assuming that consumption falls each year by same percentage?
Derive an expression for the slope of the function y = 52x3. Make up your own single-term function and then differentiate it.
Derive a formula for the slope of the function y = 4 + 4x-1 - 4x. What is the slope of the function y = 4x0.5 when x = 4?
Given the demand schedule p = 120 - 3q derive a function for MR and find the output at which TR is a maximum.
A firm knows that the demand function for its output is p = 400 - 0.5q. What price should it charge to maximize sales revenue?
Derive a formula for MC if TC = 4q3 - 20q2 + 60q + 40. Make up your own TC function and then derive the corresponding MC function.
Find the MR function corresponding to the demand schedule q = (60 - 2.5p)0.5. What is the point elasticity of demand when price is 20 for the demand schedule.
If it has a budget of £16,000 what combination of K and L should it use to maximize output?
What is the maximum output firm can produce for a budget of £200? The prices of K and L are given as £4 per unit and £2 per unit respectively.