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How long must $542 be invested at a rate of 7% to earn $303.52 in interest? in a easier way

Look at the figure below: triangle abc is a right triangle with angle abc equal to 90 degrees. the length of ac is 5 units and the length of ab is 4 units. d is a point above c. triangle adc is a right triangle with angle dac equal to 90 degrees and dc parallel to ab. what is the length, in units, of segment cd?

Use sigma notation to represent the following series for 9 terms.