A person deposits $1000 into a retirement account. After 20 years, the initial deposit has grown to $7000. Assuming exponential growth, when will the account balance reach $50,000? Make sure to include units in your answer.

Q: 3. An account with an initial deposit of $6,500 earns 7.25% annual interest, compounded…

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Q: Suppose that ​$14,722 is invested at an interest rate of 6.8​% per​ year, compounded continuously.…

A: Given invest money = $14722   Interest rate r = 6.8% per year   Part (a):   The compound interest…

Q: 12. You deposit $2000 in an account that pays 2% interest compounded continuously. When does the…

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Q: 6) Stanley Bank offers a money market account that earns 1.85% compounded continuously: a) If…

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Q: B- The production of the oil well decline exponentially, the initial flow rate is 1500 STB/day , the…

A: exponential model P = Abt  where P is production t is time, A and B are constants. for exponential…

Q: 8. How much money must you invest now at 3.5% interest compounded continuously in order to have…

A: Given,  Compound amount=  $ 20000 Time period = 10 years Rate = 3.5%

Q: [4] An ant colony is growing 28% per day. Is the model for this growth linear or exponential? A. В.…

A: We have to find given data.

Q: 8.) Jess wants to have one million dollars when she retires in 35 years. How much should she invest…

A: We can directly calculate the principal amount using the continious interest formula.

Q: Section 3.2(33) Determine the amount of money, to the nearest dollar, that you must invest at 6%…

A: From the given statement, the person invests some money at the rate of 6% per year, compound…

Q: 36. (a) How long does it take for an investment to triple in value if it is invested at 6%…

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Q: 1. A certain species of virus is increasing in number exponentially every hour. The initial virus…

A: To find growth rate of the virus.

Q: The population of a certain country in 2005 is 102,250,852 and has been growing at the rate of 3.12%…

A: Exponential growth of polpulation.

Q: If the half-life of a radioactive substance is 7,600 years, then at what rate is it decaying? 1…

A: We can find the rate of decay as below.

Q: For a certain patient, a dose of Acetaminophen decays exponentially in their blood stream with a…

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Q: A house was valued at $105,000 in the year 1991. The value appreciated to $160,000 by the year 2006.…

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Q: Use the exponential growth model to calculate the amount of money you will have in the bank after 12…

A: Let A be the amount of money in account after 12 years. Here, P=$31,000 , r=0.026 , t=12 years Then,…

Q: 35. (a) How long does it take for an investment to double in value if it is invested at 8%…

A: Formula for amount if interest is compounded periodically is given as: A=P1+rnnt, where A is future…

Q: 1. Suppose that a couple invested P50, 000 in an account when their child was born, to prepare for…

A: NOTE: As Per our guidelines, I have solved first problem.   P be principal amount A be the final…

Q: 2) Carbon-14 decays or emits a radioactive particle at a regular and consistent exponential rate and…

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Q: 1. The population of a country was 8 million in the year 2000. It was 12 million in 2010. Assume…

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Q: 7) Shawna invests $1,233 in a savings account with a fixed annual interest rate of 6% compounded…

A: We need to find amount accumulated in 8 years.

Q: 4. A town with an initial population of 10,000 people in 2012 is growing exponentially at a yearly…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Assume you invest $15,000 in a mutual fund (e.g. money market fund) with interest compounded…

A: Basic compound interest problem

Q: (3) If the Nigerian population was 65 million in 1950 and 85 million in 1970, what will the popu-…

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Q: The amount of caffeine in the body after consumption follows an exponential decay model. After…

A: 1) The time taken to decay half of the amount of the substance taken initially is called the…

Q: A scientist runs an experiment involving a culture of bacteria. She notices that the mass of the…

A: Given Mass of the bacteria in the culture increases exponentially with the mass increasing by 241%…

Q: 3. You are investing $6000 that will eam 5.0% interest compounded continuously. How much is your…

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Q: 42. Suppose an investment account is opened with an initial deposit of $12, 000 earning 7.2%…

A: We can solve only very first question as per the honor policy. Please resubmit the other question as…

Q: 42. Suppose an investment account is opened with an initial deposit of $12,000 earning 7.2% interest…

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Q: 1. The amount of a certain medicine in the bloodstream decays exponentially with a half- life of 5…

A: Here, given that the amount of certain medicine in the bloodstream decays exponentially with a…

Q: 2. (a) If you invest $ 3000 in an account that pays 9% APR compounded continuously, how much will…

A: As per guidelines,we will solve only first question. If you want solution of another question ,…

Q: 1. A certain species of virus is increasing in number exponentially every hour. The initial virus…

A: We will apply exponential growth formula to solve this question

Q: 5. (a) How long does it take for an investment to double in value if it s invested at 8% compounded…

A: Given query is to find the time taken to become an investment double of its value.

Q: What will $82,000 grow to be in 11 years if it is invested today at 8% and the interest rate is…

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Q: 11. At the beginning of an observational study, a culture contains 6,000 bacteria. After three…

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Q: number of Android smartphone users has grown exponentially since it was first introduced to the…

A: Given query is to find the expression for number of users after 2010 then find the time when it…

Q: If you have an investment of $1000 that grows at a rate of 6%, compounded annually, how much will it…

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Q: a.) What will an investment of 30 000 Euros at 5.6% p.a. interest compounded annually amount to…

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Q: A 25-year-old places a continuous stream of $4,000 per year into a retirement account which has a…

A: We have P=$4,000   r =1.5%=1.5100=0.015t=65-25 =40 yrsn=1stream at 65 years  is…

Q: 15. Suppose $5000 is invested at 8% interest compounded annually. How many years will it take for…

A: The formula for compound interest is  where P is principle Amount, R is rate of interest and T is…

Q: 8. The number of women graduating from 4-year colleges in the United States grew from 49,000 in 1930…

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Q: A population of protozoa is growing exponentially. On day zero, the population consists of 7…

A: Population model

Q: The population of a country was 81 million in 1992 and the continuous exponential growth rate was…

A:

Q: 7.) The August 1978 issue of National Geographic described the 1964 find of bones of a newly…

A: Exponential decay model can be given as  A(x) = Bekx

Q: 1. At the beginning of 2004 worlds population was about 6.4 billion. it is said that by the year…

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Q: 1. Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year.…

A: Given Annual Sale=$650,000 Rate=4% per year

Q: 11. Demonstrate how a natural exponential function can be used to approximate the value of GH¢…

A: Given, The initial amount, P=30,000 Compounded quarterly for 5 years at 20% interest Pert=P1+immt…

Q: slow economy caused a company’s annual revenues  to drop from P500, 000 in 2007 to $380,000 in 2010.…

A: Let us start solving the problem step by step  Model:  Y=Ce^kt

Q: It is known that a certain kind of algae in the Dead Sea can double in population every 3 days.…

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Q: balance

A: