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Assume the existence of a bankaccount class. define a derived class, savingsaccount that contains two instance variables: the first a double, named interestrate, and the second an integer named interesttype. the value of the interesttype variable can be 1 for simple interest and 2 for compound interest. there is also a constructor that accepts two parameters: a double that is used to initialize the interestrate variable, and a string that you may assume will contain either "simple", or "compound", and which should be used to initialize the interesttype variable appropriately. there should also be a pair of functions getinterestrate and getinteresttype that return the values of the corresponding data members (as double and int respectively).

Consider the series where in this problem you must attempt to use the ratio test to decide whether the series converges. compute enter the numerical value of the limit l if it converges, inf if it diverges to infinity, minf if it diverges to negative infinity, or div if it diverges but not to infinity or negative infinity.

Suppose you and your friend live on the same street d miles away from each other. between your house and your friend’s house there are n motorized scooters positioned at distances x1, x2, . . , xn miles from your house towards your friend’s house. each scooter has a battery that may or may not be fully charged. let’s say that the scooters can take you distances d1, d2, . . , dn miles down the road. each scooter also has a price p1, p2, . . , pn that it takes to activate. any time you encounter another scooter, you may take the new scooter and leave your old scooter behind. there is an additional scooter at your house that you start with and it can go distance d0 miles and it is free to activate: p0 = 0. you wish to go to your friend’s house minimizing the total amount of money spent activating the scooters. design a dynamic programming algorithm that returns the minimum cost to get to your friend’s house using scooters x0, . . , xn.