Frank’s Fight Milk Factory has a filling machine that initially cost $40, 000. Frank estimates that the useful life of the machine will be 12 years, at which time its salvage (scrap) value will be $4, 000. Assume that the price depreciates linearly. a. What is the rate of depreciation of the filling machine per year ? b. Write a linear function that gives the value of this machine in terms of the years t after its initial purchase (0 ≤ t ≤ 12). c. What will be the value of the machine in 6 years ?

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Q: 19) An investment of $5000 grows to a value of $7500 in 4 years. What is the interest rate of the…

A: Finding the rate of interest

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Q: A. The timeseries data of monthly demand is given below. Month Demand Jan-21 2000 Feb-21 2500 Mar-21…

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Q: Write an equation relating the variables in each of the following situations. a. The pay P for t…

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Q: A farmer can sell his potatoes for $8 per bushel today, but this price is dropping by 5¢ per day.…

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Q: You are planning to invest in  a hotel. It is projected that the price of investments in the area…

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Q: 11. Suppose the population of a town is 23,000 people in 2010. Write an equation for the population…

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Q: Question 4 of 16 A machine manufacturer sells each machine for $6,300. The fixed costs are $254,000…

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Q: For each situation, indicate whether the appropriate model would be Linear or Exponential. Be…

A: We have to find if the given situation is linear or exponential model.

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.