A population grows at a rate of 18% each week. After how many weeks will this population double? weeks Type your answer as a number, rounded to 3 decimal places. Do not include units

Q: Suppose that there is an annual percent change of 6% in the account's value. a. The value of the…

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Q: In 2017, there were 10,000 reported lantern fly sightings. Their population has increased at a rate…

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Q: 3. The population of the Philippines doubled from 1967 to 1997. Assuming the rate of population…

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Q: A certain forest covers an area of 2500 km". Suppose that each year this area decreases by 5.75%.…

A: Explanation of the solution is given below...

Q: Lesson 6.4 f (t) = 70 (0.4)*

A: So exponential growth and decay depends on the deciding value that is in this case 0.4, so I'm…

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Q: A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in…

A: Given that half life= H= 5730 years  Initial amount= P Final amount=A= 20% of P= 0.20P Time= t years…

Q: A savings account has a rate of 6.8%. The interest is compounded weekly. Find the account's…

A: Given: Annual interest rate: r = 6.8% Now we have to find effective interest rate when compounded…

Q: Assume the change is exponential and complete the table below. The price of a speeding ticket in…

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Q: The interest on an account increases exponentially. If an initial investment of $1000 earns $120 in…

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Q: An isotope of lead, 201Pb, has a half-life of 8.4 hours. How many hours ago was there 20% more of…

A: Using radio active decay half life equation

Q: A house was valued at $110,000 in the year 1992. The value appreciated to $175,000 by the year 2008.…

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Q: A wooden artifact from an ancient tomb contains 25 percent of the carbon-14 that is present in…

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Q: A 7 year bond costs $1,000 and will pay a total of $150 interest over its lifetime. What is its…

A: A 7 year bond costs $1,000 and will pay a total of $150 interest over its lifetime. Its annual…

Q: Complete the table below using the exponential growth formula. Original Growth Rate per Final Amount…

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Q: The halflife is 1600 years , that is if half of any given amount decomposes in 1600 years, find the…

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Q: State whether the growth (or decay) is linear or exponential, and answer the associated question.…

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Q: A certain radio active substance has half-life of 38 hours. A. Determine the value of k in four…

A: For the radioactive substance, the equation of life is given by: N=N0e-kt...(1)

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be…

A: For the solution follow the next step.

Q: The radioactive isotope Bismuth-210 has a half-life of 5 days. How many days does it take for 87.5%…

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Q: The half-life of the radium isotope Ra-226 is approximately 1,599 years. What percent of a given…

A: Given data: The half life is t1/2=1599 years. The time taken t=200 years.

Q: State whether the decay is linear or exponential, and answer the associated question. The value of a…

A: Given P=$10000     , t = 2 years  decreasing by 15%

Q: A certain forest covers an area of 5000 km“. Suppose that each year this area decreases by 4.75%.…

A: Given: A certain forest covers an area of 5000 km2. Suppose that each year this area decreases by…

Q: The world's output of primary energy (petroleum, natural gas, coal, hydroelectricity, and nuclear…

A: It is increasing at the rate of 2.4% annually. So 0.024 every year.growth rate= (1+0.024)=1.024 per…

Q: A bank account grows by 8% each year. By what percentage does it grow each month? (Round your answer…

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Q: According to the United States Census Bureau the population of Utah was 2.12 million people in 1997…

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Q: The half-life of a radioactive kind of americium is 16 hours. If you start with 1,320 grams of it,…

A: Radioactive decay

Q: Determine whether the growth (or decay) is linear or exponential, and answer the associated…

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Q: A certain forest covers an area of 2200 km“. Suppose that each year this area decreases by 3.5%.…

A:

Q: In 2005, the population of a district was 28,300. With a continuous annual growth rate of…

A: Consider the given information as Initial population in 2005 is 28,300 and growth rate is 7%

Q: An isotope of lead, 201Pb, has a half-life of 8.4 hours. How many hours ago was there 20% more of…

A: radioactive decay is given by the half-life equation: N(t) = N0 e-t.d       . .......( i) Where…

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

A: The half life =1590 year. Original amount=100 mg

Q: A wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in…

A:

Q: alued at $43,000 in the year 1990. The value depreciated to $10,000 by s the annual rate of change…

A: r = 0.0932 r in % = 9.32% Annual rate change from 1990 to 2005, r = 0.0932 Annual rate change in…

Q: In 2000, the population of a city was 65,000.  The population had grown to 94,000 by 2013.  If the…

A: Given population in 2000 was 65000 Population in 2013 was 94000 And population grows by the same…

Q: 9

A: Given:- A bank account grows by 6% each year=

Q: The first recorded population of a particular country was 22 million and the population was 34…

A: Given,The first recorded population of a particular country was 22 million and the population after…

Q: A wooden artifact from an ancient tomb contains 30 percent of the carbon-14 that is present in…

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Q: Enrollment at College is increasing at a rate of 42% per decade. What the yearly percentage Round…

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Q: e 2009 life expectancy in Canada (81.2 years) is 9 life expectancy in Russia (65.9 years). Show the…

A: The solution is given below

Q: In 2000 the population of a district was 750,000. With a continuously compounding growth rate of…

A: Formula used:Exponential growth model (Continuous): A(t) = P(e^rt), where P is the initial…

Q: Enrollment at my college is increased at a rate of 42% per decade.  What is the yearly percentage…

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Q: After 245 years half of a sample of radioactive element remains. What percent of the sample remain…

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Q: A certain radio active substance has half-life of 38 hours. A. Determine the value of k in four…

A: Consider the radioactive decay function, A(t)=A0e-kt  Where A(t) represents the amount of substance…

Q: You deposit $5000 in an account earning 5% interest compounded continuously. How much will you have…

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Q: During the worst periods of hyperinflation in a certain country, the price of food increased at a…

A: Linear functions change at a constant rate per unit interval. An exponential function changes by a…

Q: A lab technician had 26 grams of a radioactive substance. Eight hours later, only 22 grams remained.…

A:

Q: In 2000, the population of a city was 76,000. The population had grown to 111,000 by 2011. If the…

A: We have to find the year.

Q: If the population of a certain county was 100,000 in 1998 and 110,625 in 2008, and if the population…

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Q: Garland Mills purchased a certain piece of machinery 2 years ago for $500,000. Its present resale…

A: the exponential function is given by initial value of the machine is a=500000 ................(1)…

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.