Use an annual growth rate of 0.6 0.6​% in a 20 20 year period for a certain population to find the approximate doubling time and then predict the population in​ 2050, based on a 2000 population of 4.0 4.0 billion. What is the approximate doubling​ time? nothing years ​(Round to the nearest whole number as​ needed.) What will be the approximate population in​ 2050? nothing billion ​(Round to the nearest tenth as​ needed.)

Q: Complete the table assuming continuously compounded interest. (Round your answers to two decimal…

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Q: Suppose a population's doubling time is 18 years. Find its annual growth factor b and annual percent…

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Q: Detennining Decay from Half-Life A cenain radioactive substance has a half-life of 5 hours. Find the…

A: By hay-site  , rate of decaycan be found out :0.5 = e5ren(0.5) = 5 rr = -0.139

Q: 2. A herd of 100 moose live in a nature reserve. The moose population is doubling every 5 years.…

A: The initial number of mouse in the herd, N0 = 100  In every 5 years the population of mouse is…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A: Formula: N(t)= No(1/2)t/t1/2 No = initial quantity N(t)= remaining quantity t= time t1/2= half life

Q: initial deposit of $1,000 is placed in a savings account with an APY of 4.3% sume the interest rate…

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Q: nt Use the model A =Pe" or A=P1+ , where A is the future value of P dollars invested at interest…

A: Given: A = 1000000  P = 50000  r = 6.5% = 6.5/100 = 0.065

Q: Finding Half-Life If 250 mg of a radioactive element decays to 200 mg in 48 hours, find the…

A: Substitute m=200, m0=250, t= 48 and r=ln2h in mt=m0e-rt. mt=m0e-rt200=250e-48ln2h45=e-48ln2h

Q: Law of 70 Bankers use the law of 70, which says that if an ac- count increases at a fixed rate of…

A: Simple interest is calculated by multiplying principle amount with rate of interest and time divided…

Q: The initial population of pika in a region is 144 pikas. The pika population is decreasing by 8%…

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Q: 3. Joshua's money tripled itself for 17.36 years. a. Determine the interest rate if the money was…

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Q: ou deposit $1,000 in an account. The account earns 10.5% interest compounded yearly, so after 12…

A: (a) The 70 over R approximation says, the doubling time is: 70R=7010.5≈6.7 years

Q: Cost of living is the amount required to purchase a certain fixed list of goods and services in one…

A: The formula for the instantaneous growth is Nt=N0ert. Here, Ntis the final value, N0 is the initial…

Q: The exponential equation describing the population at any time with an initial population 2000 and…

A: Given that: Initial population = 2000 & doubling time = 7

Q: Use an annual growth rate of 1.3 1.3​% in a 10 10 year period for a certain population to find the…

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Q: 15. A person invests $2860 for 15 years in an account that earns 4.6% annual interest. Match each…

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Q: nt Use the model A= Pe" or A=P|1+ where A is the future value of P dollars invested at interest rate…

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Q: nt Use the model A = Pe" or A = P1+ , where A is the future value of P dollars invested at interest…

A: Given query is to find the time taken to triple the investment when compounded continuously.

Q: A colony of bacteria is increasing at the rate of 15% each hour. There are 3,500 bacteria in the…

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Q: a) Find the final amount of money in an account if $6, 100 is deposited at 2 % interest compounded…

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Q: A. Use the formula for continuous compounding with the original example: $1000 invested at 2% for 1…

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Q: nt Use the model A=Pe" or where A is the future value of P dollars invested at interest rate r…

A: Given A=P(1+rn)nt

Q: Find the amount of money (Future Value) in an account where $4,100 is deposited (Present Value) at…

A: we have given,                                                    Present value = $4100…

Q: An investment pays 8% interest compounded continuously. If money is invested steadily at the rate of…

A: Solution

Q: The fox population in a certain region has an annual growth rate of 6% per year. In the year 2012,…

A: Find fox population in year 2020

Q: A population is growing by 4.5% per year. (a) What is the associated growth factor? (b) To solve for…

A: Doubling time. Is the time  in which population doubles its initial population

Q: nt Use the model A = Pe" or A = P , where A is the future value of P dollars invested at interest…

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Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

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Q: nt Use the model A= Pe" or A= P 1+ , where A is the future value of P dollars invested at interest…

A:

Q: The purchasing power (real value of money) decreases if inflation is present in the economy. For…

A: Given that  The model P = 35000 e-0.07t

Q: Please answer the attached question. Thanks a lot

A: The annual rate is 8 percent, so r=0.08. we can substitute it into compund interest formula which…

Q: (a) Find the amount of money accrued at the end of 8 years when $5000 is deposited in a savings…

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Q: (1 point) An unknown radioactive element decays into non-radioactive substances. In 400 days the…

A: Given that, An unknown radio active element decays into non-radio active substances. In 400 days the…

Q: An initial deposit is made in a bank account. Find the interest rate, r, if the interest is…

A: Here we can find the answer as below

Q: If you withdraw part of your money from a certificate of deposit before the date of maturity, you…

A: Given that, the amount invested at the initial stage is $7000 at a rate of 8.3% and after 6 months…

Q: Carbon Dating: Carbon-14 commonly used for dating historical artifacts, is a radioactive isotope…

A: NOTE: Refresh your page if you can't see any equations. . here the initial amount f C-14 is…

Q: The value of a particular retirement account is A(t) = 25,000e0.06t dollars after t years. Compute…

A: Given query is to find the derivative of the function at indicated point.

Q: $500 2,79. Suppose 0 is invested in an account paying an annual interest rate. 12 a. Give the…

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Q: A bacteria has a doubling period of 8 days. If there are 3200 bacteria present now, how many will…

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Q: 37. Continuously compounded interest Upon the birth of their first child, a couple deposited $5000…

A: Given that upon the birth of their first child, a couple deposited $5,000 in an account that pays 8%…

Q: Future Value The future value of $2000 investedfor 3 years at rate r, compounded annually, is…

A: In the equation S=2000(1+r)3, S represents the future value and 2000 represents the initial amount…

Q: (b) An economy grows at the rate of 2% in the first year, 2.5% in the second year, 3% in the third…

A: Solution

Q: nt Use the model A = Pe" or A = P|1+ , where A is the future value of P dollars invested at interest…

A: A=P1+rnnt A=18572 P=1500 n=4 for quarterly compound  t=5 years

Q: 17. Money Flow The rate of a continuous flow of money starts at S5000 and decreases exponentially at…

A: let f(t) be the rate of continuous flow at an interest rate r for t yearsthen we can say that f(t)…

Q: A wooden artifact from an archeological dig contains 15 percent of the carbon-14 that is present in…

A: Initial mass percentage of carbon-14 in an articraft =100% initial mass =A0 final mass percentage =…

Q: Principle: $ 500O Rate: 2 % compounded Semiannually Time: 1 yr(s) * Your answer

A: Given that: Principal amount=$500 Rate of interest=2% Period=one year Number of instalment=2 Here,…

Q: During the period from 2003 through 2010, gold prices doubled every 3 years (approximately). (a)…

A: Given, During the period from 2003 through 2010, gold prices doubled every 3 years (approximately).…

Q: A company's profits are increasing by an annual growth factor of 1.13. Find the doubling time. Round…

A: Given, The annual growth factor is 1.13   To find: The doubling period.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.