If a town has a population of 850 people at year t=0, what is the formula for if it grows at a continuous rate of 11% per year?

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: Find the present value for a $90,000 investment for 24 years at a compounded continuously at 4.1%.

A: P=Aert Where P is present value , A is amount and r is rate and t is time.

Q: Find the amount resulting in 12 years, if $25,000 is invested now at an interest rate of 4.25% p.a.…

A: Given that, P=25000, r=4.25%, t=12years

Q: How long, to the nearest year, will it take an investment to double if it is continuously compounded…

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Q: 3. How long will it take $5000 to triple if it is invested at 7.5% compounded continuously?

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Q: how long will it take an investment of $300 to triple, if the interest rate is 9.5% per year…

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Q: 4. Determine the growth constant, k, of a population that is growing at a rate proportional to its…

A: let p=population at time t so we can write  to remove the proportionality sign we need to multiply…

Q: A town has a population of 260 000. Its population has been growing at an annual rate of 3.1% for…

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Q: How much should be invested at a rate of 7% coumpounded continuously to produce an amount of $15,000…

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Q: How long, to the nearest year, will it take an investment to double if it is continuously compounded…

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Q: f) The population of a town grows at the rate of 3% per year (compounded continuously). How long…

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Q: There are 5,000 wolves in the park, but their population is expected to decay at a rate of 8% per…

A: Given, initially , wolves in the park = 5000 Decay of population = 8% per year finally , wolves in…

Q: The proceeds from the sale of a building will yield a uniform continuous flow of $10,000 a year for…

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Q: How long would it take for a principal ofP to double if invested at 7% compounded continuously?

A: Given, for a principal of P to double if invested at 7% compounded continuously.

Q: The city of San Estaban had a population of 45,000 in 2015 (t=0) and was growing continuously at an…

A: Initial population =45000 Growth Rate=3%=0.03 At 2016, t=2016-2015=1 So the population in 2016 is:

Q: If a piece of machinery depreciates continuously at an annual rate of 4%, how many years will it…

A: To find: The number of years it will take for the value of machinery to halve. Concept used: The…

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

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Q: How many years are required for an investment to double in value if it is appreciating at the yearly…

A: The final amount when it is compounded continuously is given by  A=P0ert Where r = interest rate…

Q: Suppose the population of certain fungi in a laboratory sample is 12. (A) If it quintuples in…

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Q: A continuous income stream has an annual rate of flow at time t given: f(t)=9000e^(0.12t)…

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Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: In this question we have to find how many hours does it take for the size of the sample to double.

Q: The population of Northern Cascadia is growing at a rate of 20% every 3 years. Assuming that it…

A: Topic: percentage

Q: How long, to the nearest year, will It take an Investment to double if it is continuously compounded…

A: An investment P compounded continuously at a rate of interest of r % per year for t years…

Q: Find the present value of a continuous income stream F(t) = 20 + 5t, where t is in years and F is in…

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Q: A money market fund has a continuous flow of money at a rate of f(x)=0.07x+100 for 10 years. Find…

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Q: Find the present value of a continuous income stream F(t) = 40 + 5t, where t is in years and F is in…

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Q: If the population of a small city is 45,000. If the population grows at a rate of 3% per year, in…

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Q: explain this.  How long will it take Dio who has an investment  of $200 at 4% interest compounded…

A: Given:

Q: A mold population is growth at 8% every three months. If there is initially 3 cm3 of mold, when will…

A: Formula for population growth is  P=P0ert where P = final population after time t P0 = initial…

Q: Find the present value for a $85,000 investment for 11 years at a compounded continuously at 3.2%.

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Q: A deposit earns interest at a rate of r percent compounded continuously and doubles in value in 10…

A: Given that, after 10 years, the initial amount is doubles, when the rate of interest r is compounded…

Q: A money market fund has a continuous flow of money at a rate of ​f(x)=1,900x−180x2 for 10 years.…

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Q: The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000…

A: Given:The initial number of mosquitoes is 1000. That is, P0 = 1000.The numbr of  mosquitoes is 1600…

Q: Suppose that a business provides a continuous income stream with an annual rate of flow at time t…

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Q: Suppose you invest R10000 over a period of 6 years. If money is compounded continuously, the annual…

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Q: Following the birth of a child, a parent wants to make an initial investment P, that will grow to…

A: Given Initial amountP=P0 Interest rater=6%=0.06 Time t=18 years Future valueA=70,000

Q: 9. If you invest $2500 at 2.8% compounded continuously how much will you have at the end of 10…

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Q: Suppose that a donor wishes to provide a cash gift to a hospital that will generate a continuous…

A: Given:- From the question , the annual rate of flow of the continuous income stream per year is ft=$…

Q: 4. A bank pays interest continuously at the rate of 6%. How long does it take for a deposit of Qo to…

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Q: 2. Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100…

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Q: An environmental study of a certain community suggests that t years from now the level of carbon…

A: Let's find.

Q: The current population of a certain small town is 4,700 and is declining at a rate of 1.7% per year.…

A: The general equation for exponential decay is A = P(1 – r)t. Where, A is final population P is the…

Q: How long it will take $5,000 to be double, when invested at an annual interest rate of 4% if the…

A: Given query is to find the time taken toake an invy double when interest rate is 4% and compounding…

Q: Suppose you invest $2000 at a rate of 3.25% continuously, what is the worth of the investment after…

A: Given that P = $2000  rate of Interest = 3.25% continuously, we have to find what is the worth of…

Q: How long will it take to double your money if it is invested at a fixed interest rate of 6%…

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Q: The number of bacteria in a certain population increases according to a continuous exponential…

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Q: Radium decomposes at a rate proportional to the amount present. If half of the original amount…

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Q: How long will it take for an investment to triple, if interest is compounded continuously at 6%? It…

A: Given

Q: How many years will it take $8,000 to grow to $12,900 if it is invested at 3.25% compounded​…

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Q: Scientists have observed that a small colony of penguins on a remote Antarctic Island obeys the…

A: We know that, P= P0ert where P is the population at time t. P0 is the initial population. r is the…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.