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The value of most assets, such as a car or computer, depreciates, or drops, over time. When as asset depreciates by a fixed amount per year, the depreciation is called straight-line depreciation. Suppose a car has an initial value of $12,400 and depreciates $820 per year.
a. Write an expression to represent the value of the car after t years.
b. Set up an equation that answers the question: How long will it take for the value of the car to decrease to $2,000? Deconstruct this equation and state your answer in a complete sentence.
Find the general solution of the nonhomogeneous differential equation and find the first four terms of the Taylor series of f(x) = ex at a = 1.
Find the potential alpha inflation
Use the integration capabilities of you graphing utility to approximate the arc length of the space curve given by: vector r(t) = t i + t^3 j + 3t K from the point (1,1,3) to the point (2,8,6). Round your answer to the nearest three decimal places..
Find the first five terms in the Taylor series about x = 0 for f(x). Find the interval of convergence for the series in part (a).
What is the probability that a randomly chosen employee is a manager and will gain promotion next year?
an angle of a triangle is 100 degrees. the other two angles are in ratio of 35. what is the measurement of the smallest
a stationary store has decided to accept a large shipment of ball-point pens if an inspection ofnbsp17nbsprandomly
A strong linear relationship exists between two variables (r = 0.97). The equation of the least squares line(regression equation) is y = 15.75 - 0.55x. For what values of x should we use this equation to make predictions? Below are the ordered pai..
Eve said to Adam, "If you give me one dollar, then we will have the same amount of money." Adam then replied, "Eve, if you give me one dollar I will have double the amount of money you are left with." How much does each have?
A standard drinking straw is 23 cm tall. What pressure difference is needed to raise a column of water that high? (When we drink, this pressure difference is supplied by one's mouth.) Assume the density of water is 1.0 g/cm3. You will need to use F =..
Use polar coordinates to find the volume of the given solid.
1. Local communities, states, and even countries often compete to get large firms to locate in their area. Using the internet or other resources, describe at least one example of a major firm located in a new city, state, or country and list the b..
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