A student who will soon receive her BS degree is contemplating continuing her education by working toward an MS degree in a one year program immediately after her graduation. She estimates that her earnings for the next 5 years with only a BS degree will be $40,000 per year. Without the MS degree, after those initial 5 years, she will start to earn monthly salaries that last forever. For each of these infinitely many years, she estimates that each year her salary will be $A per month for the first 6 months (January through June) and $2A per month for the next 6 months (July through December) if she does not stay for an MS degree If she can get an MS degree, her earnings would be $48,000 per year for the subsequent 4 years of obtain- ing her MS degree (i.e., for years 2, 3, 4 and 5). But her earnings while working on the MS degree (year 1) will be negligible and her additional annual expenses during her MS education (year 1) will be $12,000. If she receives an MS degree, after those four initial years, each year her monthly salary will be $A + x for the first 6 months and $2A + 2x for the following 6 months. She will earn these monthly salaries again forever. For an annual effective interest rate of 10% compounded monthly, find the value of x for which the extra investment in MS education will pay for itself.