Disposable income is the amount available for spending and saving after taxes have been paid and is one gauge for the state of the economy. Using U.S. Energy Administration data for selected years from 2010 and projected to 2040, the total U.S. disposable income, in billions, can be modeled by   D(t) = 10,020e0.02292t   where t is the number of years past 2010. In what year is disposable income predicted to be $18 trillion (that is, $18,000 billion)?

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Q: model a population p if its rate of growth is proportional to the amount present at time t

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Q: In a particular very small region, the consumer price index, C, depends on the current value of…

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Q: Find the present value of a continuous income stream F(t) = 30 + 8t, where t is in years and F is in…

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A: The solution of above question no. #30 is written below with graph.

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Q: 7. Find the price per unit p that produces the maximum profit given

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Q: After an alcoholic beverage is consumed, the concentration of alcohol in the bloodstream (blood…

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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.