Automobile lease vs. purchase A car dealer offers a purchase option and a lease option on all new cars. Suppose you are interested in a car that can be bought outright for $25,000 or leased for a start-up fee of $1200 plus monthly payments of $350. a. Find the linear function y = ƒ1m2 that gives the total amount you have paid on the lease option after m months. b. With the lease option, after a 48-month (4-year) term, the car has a residual value of $10,000, which is the amount that you could pay to purchase the car. Assuming no other costs, should you lease or buy?

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A: Topic-Linear function

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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.