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The general management of Electric Motors has considered having $ 75,000 available within 10 years, to complete the expansion of its current administrative office. For

The general management of Electric Motors has considered having $ 75,000 available within 10 years, to complete the expansion of its current administrative office. For such purpose have designed a savings plan with the intention of reaching the established goal, taking advantage of the promotion of the Bank "El Buen Amigo" that offers them a fixed rate of 6% annual capitalized semi-annually, for the entire time that deposits are being made savings. The plan is to start depositing a certain amount next year, which could increase at the rate of $ 1,500 per year up to the fifth deposit. After this fifth deposit could increase your savings at a rate of 10% per year up to the tenth year. If the general management is convenient, this savings program will provide the necessary funds, what should be the amount to be deposited in the first year?.

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