y=998(.93)^x

Q: Find the equation of an exponential function of the form f(x) = a · bª that passes through the…

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Q: Determine the equation of the exponential function in the form h (x) = a b" that passes through the…

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Q: find the exponential model that fits the points (2,9) and (0,1)

A: According to the problem, we have

Q: Find a formula for the exponential function passing through the points (-2,5) and (1, 15). y =

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Write the equation of an exponential function with an initial value of 7 and a decay factor of 0.27

A:

Q: Write the equation ln A = 3 in exponential form.

A: We will use the exponential form of the natural logarithm.

Q: Find a formula for the exponential function passing through the points (-3, 5/8) and (2, 20). y =

A:

Q: If the starting point is 30, and the growth rate is 15%, choose the exponential function.

A: To find the exponential function with the given data

Q: Use the exponential decay​ model, A=A0ekt​, to solve the following.   The half-life of a certain…

A: To calculate the decay time of the substance under the given conditons

Q: Find a formula for the exponential function passing through the points (-2, 2/25) and (3, 250).…

A:

Q: A radioactive substance, calculusium, has a half life of 72 years. If the amount after 40 years is…

A: According to question given that A radioactive substance, calculusium has a half life of =72 years…

Q: How long (in years) will it take to quadruple an investment made at a 9% interest rate if the…

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Q: Find a formula for the exponential function passing through the points (-1,2) and (1,8) y =

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Q: Find a formula for the exponential equation passing through the points: (0,3) and (1,12) y =

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Q: Find the exponential equation whose graph passes through the points (-3, 125 and (3,250) y =

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Q: The population of the city is declining according to the exponential law. if the population went…

A: To find the population in 2022

Q: Find a formula for the exponential function passing through the points (-1,-) and (1,8) y% =

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Q: exponential function

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Q: You deposit $2000 in an account earning 5% interest compounded continuously. How much will you have…

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Q: A population is growing exponentially with growth constant .04. In how many years will the current…

A: Exponential model is Pt=P0ekt Where Pt=Population at any time 't' P0=Initial population t= time…

Q: Find the exponential equation whose graph passes through the points (-3, 7) and (3,135) y =

A:

Q: Find a formula for the exponential function passing through the points (-3,- -) and (2,32) 32 y =

A: The standard form of exponential function is given below: y=abx where, a≠0, b>0 and b≠1.

Q: Find a formula for the exponential function passing through the points (-2,-) and (1,10) y =

A: On solving this we will asume firstly general exponential function so  we will get

Q: Find a formula for the exponential function passing through the points (-3, 2 / 27) and (1, 6). y =

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Q: Find a formula for the exponential function passing through the points (-2, 4 over 25) and (2, 100).…

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Q: Find the amount A in dollars of $8000 invested for 30 years at 10% compounded continuously.

A: Given- P= $8000, r=10%, t=30years. To find- The total amount A. Formula used- A=P1+r100n, where A=…

Q: Find the exponential equation whose graph passes through the points (-2,4/25) and (2,100).   y=

A:

Q: Find a formula for the exponential function passing through 4 the points (-1,) and (3,108) y =

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

Q: Find a formula for the exponential function passing through the points (-3, 27) and (3, 54). y =

A:

Q: A 2019 Jeep Wrangler had a new vehicle purchase price of $30,800, now has a book value of $24,500…

A: The initial price (t=0) of Jeep Wrangler in 2019 is $30,800. After 2 years, its price is $24,500.…

Q: Suppose a $40,000 car loses 13% of its value each year. Write an exponential equation and use it to…

A: Given- $40,000 , and its loses 13% of its value each year. To find-  In how many years (to the…

Q: Find the equation of the exponential function, of the form ? = ?? x , that contains the following 2…

A: The exponential function is of the form y = abx.

Q: Write an equation for an exponential growth function   y=f(x) where the initial population is 3000…

A: Given,Initial Population is 3000Growth factor is 1.085

Q: Find a formula for the exponential function passing through the points (-3,,) and (1,10) y =

A: Given a function passing through the points (-3,58) and (1,10) we know the general form of the…

Q: Which formula can be used to estimate the annual investment?

A: Given: Let's determine the formula used to determine the annual investment.

Q: Find the equation of the exponential function containing the points (2,1) and (5,8)

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Q: Find a formula for the exponential function passing through the points (-1,5/4) and (2,80) y =

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Q: Find a formula for the exponential function passing through the points (-3, -) and (1, 6). 27 y =

A:

Q: Estimate the value of y in the exponential equation 500 = 10y.

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Q: Find the exponential equation whose graph passes through the points (-1,) and (1,10) y =

A:

Q: Find a formula for the exponential function passing through the points (-1,5) and (3,54) y =

A: use the general form of exponential function . and use this point to get the coefficient of…

Q: Find a formula for the exponential function passing through the points (-2, 3 ) and (2,48) 16 y =

A:

Q: Find the exponential equation whose graph passes through the points (-3,3/8) and (1,6).…

A: The general form of an exponential equation is y=abx where a, b are any constants. The given two…

Q: Find a formula for the exponential function passing through the points (-3, and (1, 20). 64 y =

A:

Q: Find a formula for the exponential function passing through the points (-1, and (2, 80). y =

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Q: Write the formula for an exponential function with initial value 250 and decay factor 0.58. (Uset as…

A: Consider the exponential growth model  N=a·bt                         …1 Where a is the initial…

Q: Find a formula for the exponential function whose graph is below: y 18 (2, 8) х

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Q: Convert: ln 30= 3.4012 to an exponential equation

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Q: The half-life of carbon-14, 14C, is approximately 5,730 years. A bone fragment is estimated to have…

A: Let the exponential decay equation be A=A0ekt, where A is the amount (in mg) of carbon-14 remaining…

Q: Find a formula for the exponential function passing through the points (-1,3232) and (1,6)   Y= ?

A:

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.