Grade 12 - STMG / Proportionality 1 exercises corrected

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1. Unclassified financial years E.2075 Definition: Capital is invested at compound interest when the interest from each period is added to the capi-tal to gradually increase it and earn interest on the whole amount. Source : Wikipedia.org 1 Capital of 2 000 e is invested at a monthly compound interest rate of 0 ; 7 % . a What is the value after one month? After two months? b What is the value after n months? c What is the rate of return on the capital after one year? 2 a Give a decimal value rounded to 10 − 5 of the real number t 1 such that : (1 + t 1 ) 12 = 1 ; 12 For an annual investment at a rate of 12 % , t 1 is the equivalent monthly rate. b A bank advertisement states : For an investment of 1 000 e over one year at com-pound interest : for the first two months, the rate applied is an annual rate of 12 % ; for the last ten months, the rate applied is an annual rate of 3 % .‘’. When choosing this investment formula, determine the rate of return on the capital over one year. https://chingmath.fr chapExoCorrec/2075 sacados/2075