The maximum heart​ rate, in beats per​ minute, that you should achieve during exercise is 220 minus your​ age, 220−a. Your exercise goal is to improve cardiovascular conditioning. Use the following formulas to answer parts a and b. Lower limit of range H equals=seven tenths left parenthesis 220 minus a right parenthesis 7/ 10(220−a) Upper limit of range Hequals=four fifths 4/ 5​(220 minus a220−a​) a. What is the lower limit of the heart​ range, in beats per​ minute, for a 47​-year-old with this exercise​ goal?

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