1996 1998 2000 2002 2004 2006 N 44 69 109 141 182 233

Q: A new machine for your factory has a first cost of $200,000 and a useful life of 20 years. The…

A: The benefit-cost ratio is the ratio of the present value of the benefits and the present value of…

Q: At a certain rate of compound interest, 1 will increase to 2 in a years, 2 will increase to 3 in b…

A: Let the compounded interest rate be x according to question 1(1+x)a=2            (1)…

Q: A bank pays interest at a rate of 5%. What is the yearly multiplier if interest is compounded (a)…

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Q: In a particular very small region, the consumer price index, C, depends on the current value of…

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Q: What is the formula that represents the average rate of change in a linear function?

A: The average rate of change formula for a function f(x) between [a, b] is: f(b)-f(a)b-a

Q: Find the effective rate of interest that corresponds to 17% annual rate compounded continuously.…

A: This question is based on compounding.

Q: 1. The rate of increase of a certain population of a barangay is proportional to the population. If…

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Q: Find the rate of change of supply price with respect to the number of units supplied.

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Q: If the rate of growth in sales of company for five years is 5%, 7.5%, 2.5%, 5% and 10% respectively,…

A: It is given that the rate of growth in a company is 5%,7.5%,2.5%,5% and 10% We need to find the…

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

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Q: 8. A population of ducks grew from 420 to 8000 in 6 years. If the population growth is linear, what…

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: 1 A baseball Card inifialy worth $36 cuppreciates each year at a rate of 2% each year, Write an…

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Q: An investment grows by 23% over a 7-year period. What is its effective annual percent growth rate?

A: The formula to find the amount A is

Q: 2. A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above…

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Q: 2. The number of bacteria at the beginning of an experiment was 30 and the bacteria grow at an…

A: Given  The number of bacteria at the beginning of an experiment = 30 hourly growth rate = 1.4%

Q: A certain stock has grown continuously from 1980 to 2015. A $15,000 investment in the stock in 1980…

A: A certain stock has grown continuously from 1980 to 2015. A $15,000 investment in the stock in…

Q: The value of a home grew from $250,000 to $380,000 in 6 years. What is the average rate of growth…

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Q: How does related rates apply in real life situations?

A: The related rate is a concept that involves how the rate of two or more than two changing quantities…

Q: What rate of interest compounded continuously will yieldan effective interest rate of 6%?

A: It is given that, the effective interest rate is 6%. re=6%=0.06

Q: A town wishes to plan a new hospital to meet the needs for 20 years and hence desires an estimates…

A: From the given information, it is observed that P0=10,000, t=20 years and r=3%, that is, r= 0.03.…

Q: Find the expected demand for (2020) by using SMA and WMA. (picture)

A: Expected demand for 2020 by using SMA:

Q: Determine the equivalent effective rate of a money compounded continuously at r=5%.

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Q: If a new Mustang is valued at $20,000 and five years later it is valued at $8000 then what is the…

A: A new Mustang is valued at $20,000 and five years later it is valued at $8000. Let x be the year and…

Q: The population of a certain city was 118,000 in 1994, and the observed relative growth rate is 3%…

A: Given The population of a certain city was 118,000 in 1994, and the observed relative growth rate is…

Q: The population of a certain country has grown at a rate proportional to the number of people in the…

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Q: Find the present value of a continuous stream of income over 3 years when the rate of income is…

A: Given data- Rate of income   s(t)= $31,000. Time                 = 3 years. The interest rate = 3%.=…

Q: Find the present value of a continuous stream of income over 3 years when the rate of income is…

A: I am attaching image so that you understand each and every step.

Q: In response to rising concerns about identity​ theft, the number of models of paper shredders a…

A: It is given that, in the year of 1993 the model was 3 and in the year of 2008 the model was 38.

Q: (b) During which time period was the fertility rate increasing most rapidly? most slowly?

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Q: Annual revenue for Corning Supplies grew by 5.5% in 2010, 1.1% in 2011, -3.5% in 2012, -1.1% in…

A: The annual growth rate represents the percentage of amount which is increased in 1 year. For example…

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

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Q: the instantaneous weight growth rate at week 16 greater or smaller or the same than the average rate…

A: Given query is to provide information regarding instantaneous rate of change and average rate of…

Q: Find the present value of a continuous stream of income over 2 years when the rate of income is…

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Q: Find the present value of a continuous stream of income over 4 years when the rate of income is…

A: Given, Rate of income per year is $35000. Interest rate is 4%. Here we shall use the formula for…

Q: Find the present value of a continuous stream of income over 4 years when the rate of income is…

A: I have appended the formula used in the solution part of the question.

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A: We will use the basic knowledge of differential calculus to answer this question correctly and…

Q: How are the rate constant and the doubling time related?

A: Explanation: The exponential growth function is y(t)=y0ekt where k  is the positive constant rate…

Q: model a population p if its rate of growth is proportional to the amount present at time t

A: model a population p if its rate of growth is proportional to the amount present at time t

Q: With an annual rate of inflation of 3% over the next 10 years, the approximate cost C of goods or…

A: Given that: Cost of good, C(t)=P(1.03)t Initial cost of oil = $24.97

Q: A businessman intends to buy a bungalow and he is going to get a home loan. He can afford to make…

A: Part(a): Let yt be the loan balance after time t. Also businessman makes the payment of RM 400000…

Q: How may I get the average rate of change for this problem?

A: The average rate of change of the function fx between the two points x=a and x=b is given by the…

Q: 1. The population of a certain country has grown at a rate proportional to the number of people in…

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Q: Suppose that the rate of return for a particular stock during the past two years was 20% and 30%.…

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Q: A network server has an original value of 10, 000 and is to be depreciated linearly over 5 years…

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Q: A cheese manufacturer produces18,000 pounds of cheese from January 1 through March 24.Suppose that…

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Q: If we have a formula giving the cholesterol level of a patient as a functionof time, how can we find…

A: Integration gives the function whose derivative is given. Integration means adding all slices to…

Q: Calculate the present value PV of an investment that will be worth $1,000 at the stated interest…

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Q: Find the present value of a continuous stream of income over 5 years when the rate of income is…

A: On solving this we will get

Exponential Growth Model

The relation that represents an exponential function is: