The value of a car that depreciates over time can be modeled by the function H(t) = 14000(0.8)+3. Write an equivalent function of the form H(t) %3D ab'.

Q: A radioactive isotope known as Algeberium has a half-life of 25 days. The amount of Algeberium 4(1)…

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Q: Suppose that the total sales of bicycles and bicycle-related equipment was P 240 billion in 2013.…

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Q: Suppose a county's population can be approximated with the function P(t)=34(1.00804)^t where t is…

A: Given t  is the number of years since 2000 So, 2000 means t=0  At t=0  So the population of 2000 is…

Q: The number of carbon atoms in a fossil is modeled by the function, C(z) = 5100 (0.93), where, x,…

A: SOLUTION-

Q: The change in an investor's income from a land he owns depends on fime. indicating function f(t) =…

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Q: Let P(t) = 100(1.025)' be the estimated population of wolves in a provincial park and S(t) = 200 +…

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Q: The amount of money present in an investment account can be modeled by the function S(t) =…

A: Put t=10 find s(10) and find growth rate

Q: Is y=1/4 x05 a power function? And why

A: We have to check

Q: The value, v of a computer is modeled by the function V(t)=500(0.82)^t where t is the number of…

A: The value of computer is modeled by the function,  V(t) = 500(0.82)t Where t is time in years

Q: Is TSI (y) a function of years (x)? How do you know this?

A: Is TSI (y) a function of years (x), then by mathematically we can say that

Q: A frozen pizza has a temperature of 28 degrees F and is placed into a 70 degree F room. After 10…

A: We know Newton law of cooling T=C+(T0-C)e-kt where, C = Surrounding Temp t = time T0= initial…

Q: 3. Jeff Jefferson invested $2000 in an account that doubles in value every 5 years. The function…

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Q: The air in a room with volume 180 m³ contains 0.3% carbon dioxide initially. Fresher air with only…

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Q: On a cool autumn evening of 70 degrees Fahrenheit, Detective Albert Gebra is investigating a…

A: Given Information:Surrounding Temperature at the evening is .At time , the body temperature when he…

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.