Let y = 922000e0.24 . When rewritten in the form y = ab', b- accurate to at least 4 decimal places. The annual growth rate or decay rate for this function, as a percent, is * accurate to at least 2 decimal places.

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A: Given An environmentalist find that a certain types of tree grows in such a way that its height h(t)…

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A:

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A: Given the interest earned r=5%=0.05 , t=2years and PV=1250. We have to find the interest.

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Q: The population of a certain city was 34000 in 2010, and the observed relative growth rate is 0.5%…

A: Given information : Population of city in 2010 = 34000 Relative growth rate = 0.5%

Q: The radioactive isotope of lead Pb-209, decays at a rate proportional to the amount present at any…

A: The differential equation for decay is dAdt=kA dAA=k·dt ⇒∫dAA=∫k·dt⇒lnA=kt+c1A=ekt+c1A=ektec1A=Cekt…

Q: Find the effective rate of interest. For 6% compounded continuously

A:

Q: Find the instantaneous rate of change of each function at the given x-value.

A: Part a,Given,           fx=2x2+3x-4 at x=-3

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A: Given, the population of a certain country has grown at a rate proportionalto the number of people…

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Q: ind the half-life of a radioact

A: Given that: Rate = 12 %

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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: If the population of bacteria in a certain region triples in 30 days. In how many days will be three…

A:

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

A: Given,

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A: The objective of the question find the temperature of the metal bar after 3 minutes.

Q: Suppose the amount of oil pumped from one ofthe canyon wells in Whittier, California, decreases at…

A: We know that general exponential function is  y=y0e-kt California, decreases at the continuous rate…

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: At what rate is the production of fish changing with respect to time 5 months from now?

A: Given Data: Production of pounds of fish per month is: QK=109K13 ......1 Total investment is:…

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A: Given that Et represents enrollment of students in t years. At t=0, enrollment is: E0=2000 At t=15,…

Q: If the present value of $1000 to be received in 5 years is $548.80, what rate of interest,…

A: Given values Present value, P=$1000 time, t=5 years Amount, A=$548.80 For calculating rate of…

Q: If

A: Explanation and solutions is given below....

Q: Estimate the instantaneous rate of change of the function shown in the graph at x=600.

A:

Q: The 1980 population of the United States was approximately 231 million, and the population has been…

A: Given,United States population in 1980, P = 231 million = 231,000,000

Q: It is found that 0.5% of radium disappears in 12 years, a.) What percent will disappear in 100…

A: We have to find the half life of the radium

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A:

Q: Suppose you deposit $1000 at 7% interest compounded continuously. Find the average value of your…

A: To find out the average value of account during first 4 years.

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A:

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

A: A population that is growing at a rate proportional to its size.…

Q: Suppose a population can be modeled by P(t) = %3D 200(1.052)*, where P(t) is in thousands and time…

A: Exponential function: - An exponential function in mathematics is one of the form f(x)=ax, where "x"…

Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Of the 1000…

A:

Q: What is the exponentially smoothed value for period 4, using a smoothing constant of 0.4?

A: Given that  Time series data  Observation  Value 1 10 2 15 3 18 4 12 5 20 6 21 7 21…

Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

A: fx=lnx,  gx=ln2x

Q: Suppose you deposit $6000 at 9% interest compounded continuously. Find the average value of your…

A:

Q: A radioactive material decays at a rate proportional to its amount. If the material has a half-life…

A: model is  A=A0ektfor half-life put A=A02thenA02=A0ektsolving for t, we get k=-ln(2)t

Q: (a) What is the continuous percent growth rate for P = 130e0.037 with time, t, in years?

A: For an exponential functionP=P0ektwhere P0=initial valuek=continous growth ratet=time

Q: Ifthe population of bacteria in a certain region triples in 15 days. In how many days will be four…

A: given                                                 dAdt=AK Where, A is population of bacteria. K…

Q: The manufacturer's suggested retail price (MSRP) for a particular car is $24,805, and it is expected…

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Q: If a new car is valued at $20,600 and 8 years later it is valued at $3000​, then what is the average…

A: Given that the value of a new car is $20,600 and 8 years later it is valued $3,000.The initial value…

Q: Suppose that a population in a particular city is 46,581 in 2010. What is the population after 15…

A: The population growth is modelled using the equation: N(t)=N01+rt, where N0 is the initial…

Q: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days, the…

A: We have to find the decay rate of the radioactive compound.

Q: If the total depreciation after 1 year and 2 years in an equipment are 21,776 and 36,153…

A: We have to find salvage value

Q: Consider the constant rate of depreciation value of a certain car. You bought a car amounting to 1.5…

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Q: 4. Determine all the time periods when the rate at which the water is flowing is increasing.

A: As per honor code, we are entitled to solve only 1 question at a time so I am providing the same.…

Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

A: Use limit methods to determine which of the two given functions grows faster, or state that they…

Q: Suppose you deposit 3 000 at a 6% interest compounded continuously. What will the Average value of…

A: Given Deposit =$3000 Interest=6% Compounded continuouslyA=Pert

Q: Find the effective annual yield and the continuous growth rate if the value of a deposit is given by…

A: The deposit is given by

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.