The population of a small country is growing 4.5% per year. If in 1997 the population...

The population of a small country is growing 4.5% per year. If in 1997 the population was 140 thousand, determine the exponential expression for population as a function of the year. Letting t=0 correspond to 1997and find the population in 2008.

How much should be deposited today if it’s to accumulate to $44,900 in 30 years, if the account bears interest at 7.5% compounded monthly?

How long will it take an investment at 11.25% interest, compounded continuously to quadruple?
When advertising is discontinued, sales decrease at a rate proportional to sales at that instant. A magazine has an initial circulation of 1.7 million and 2 years later decreases 14%. When will circulation reach 850,000?

Expert Solution

Colby Messinger answered 2 weeks ago

A country imports 5 billion tonnes of coal per year and domestically produces another 4.5 billion tonnes of coal per year.

Exercise 1: Tariffs and ElasticityA country imports 5 billion tonnes of coal per year and domestically produces another 4.5 billion tonnes of coal per year. The world price of coal is $50 per tonne. Assuming linear schedules, economists estimate the price elasticity of domestic supply to be 0.3 and the price elasticity of domestic demand to be 0.2 at the current equilibrium. Consider the changes in social surplus that would result from imposition of a $20 per tonne import fee...

Consider a population that begins growing exponentially at a base rate of 4.8% per year and...

Consider a population that begins growing exponentially at a base rate of 4.8% per year and then follows a logistic growth pattern. If the carrying capacity is 60 million, find the actual fractional growth when the population is at 10 million, 30 million, and 50 million.

Suppose V is constant, M is growing 5% per year, Y is growing 2% per year,...

Suppose V is constant, M is growing 5% per year, Y is growing 2% per year, and r = 4. a. Solve for i. b. If the Central bank increases the money growth rate by 2 percentage points per year, find Δi. c. Suppose the growth rate of Y falls to 1% per year. - What will happen to π ? - What must the Fed do if it wishes to π constant?

You run a small community or country and your primary output is the growing of wheat...

You run a small community or country and your primary output is the growing of wheat and the sewing of socks. You are able to produce both products for a low cost so your residents do not have to pay very much for these two products. One day, another country contacts you with the offer of the same products at an even lower price. If you allow them entry into your community, your residents will save money. However, those who...

(b) A less developed country with a rapidly expanding urban population is concerned that its growing...

(b) A less developed country with a rapidly expanding urban population is concerned that its growing urban population will eventually expand to a level where there would not be enough land to grow the food it needs to support its population. (i) Excluding importing food, propose a solution to address the concerns of reduced land on which to grow food. (ii) For your solution in (b)(i), explain an additional potential advantage of the solution.

In Monetaria real GDP is growing at 2% per year and the money supply is growing...

In Monetaria real GDP is growing at 2% per year and the money supply is growing at 5% per year. suppose that the velocity of the money has been constant. A) Find the Inflation Rate. B) The nominal interest rate is 10%. Find the real interest rate, assuming that inflation will remain the same. C) Suppose you are a small hats retailer. To simplify the analysis, lets assume that the only costs of doing business is paying for the merchandise...

Suppose that the GDP of the country of Zambia is growing at 1% each year. Also...

Suppose that the GDP of the country of Zambia is growing at 1% each year. Also suppose that Zambia has a constant velocity of money and it decides to print money at a much faster rate increasing its money supply by 20%. Using the quantity theory of money, what happens to the price level in Zambia as a result of the printing of money? In other words, will they have inflation? If so, how much? Explain.

Suppose that the GDP of the country of Zambia is growing at 1% each year. Also...

Suppose that the GDP of the country of Zambia is growing at 1% each year. Also suppose that Zambia has a constant velocity of money and it decides to print money at a much faster rate increasing its money supply by 20%. Using the quantity theory of money, what happens to the price level in Zambia as a result of the printing of money? In other words, will they have inflation? If so, how much? Explain.

Consider the following data for the country below. Real GDP per Capita$60,000, Year 1 Population 300...

Consider the following data for the country below. Real GDP per Capita$60,000, Year 1 Population 300 ,Year 1 and Year 2(Millions) Inflation Rate(%) 3 Growth Rate Real GDP (%),Year 1 to Year 2 8 Instructions: In part a, enter your answer as a whole number. In part b, round your answer to 2 decimal places. a. What is real GDP per capita in year 2? $ b. What is real GDP in year 2? $ trillion

A farmer wants to determine if the average growth of sunflowers is 4.5 ft per year...

A farmer wants to determine if the average growth of sunflowers is 4.5 ft per year or not. A sample of 41 sunflowers had a mean of 4.25 ft per year and a standard deviation of 0.7 ft per year. a) This is a two-sided test;state the hypotheses. b) State the rejection region for α=0.05 c)Will you reject or retain the null hypothesis? Show all work to support your answer. d) Find the 95% confidence interval for average growth of...

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The population of a small country is growing 4.5% per year. If in 1997 the population...

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A country imports 5 billion tonnes of coal per year and domestically produces another 4.5 billion tonnes of coal per year.

Consider a population that begins growing exponentially at a base rate of 4.8% per year and...

Suppose V is constant, M is growing 5% per year, Y is growing 2% per year,...

You run a small community or country and your primary output is the growing of wheat...

(b) A less developed country with a rapidly expanding urban population is concerned that its growing...

In Monetaria real GDP is growing at 2% per year and the money supply is growing...

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Suppose that the GDP of the country of Zambia is growing at 1% each year. Also...

Consider the following data for the country below. Real GDP per Capita$60,000, Year 1 Population 300...

A farmer wants to determine if the average growth of sunflowers is 4.5 ft per year...