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How much money did Darlene start with?

Franklin lent Darlene as much money as she already had, then she spent $10. The next day, Franklin lent her as much money as she now had and again, she spent $10. On the third day Franklin once again lent her as much money as she now had and she spent $10, leaving her broke. How much money did Darlene start with? Express result to the accuracy of 2 decimal.

Correct answers: 69

The first user who solved this task is Roxana zavari.

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Heinrich Daniel Ruhmkorff

Born 15 Jan 1803; died 20 Dec 1877 at age 74.German mechanic, instrument maker and inventor whodevised the Ruhmkorff coil, his version of the induction coil (after Nicholas Joseph Callan's earlier invention of 1836). Ruhmkorff's induction coil could produce sparks over 1 ft (30 cm) in length, and became popular for energizing discharge tubes, especially those for generating X-rays (discovered by Wilhelm Röntgen, on 8 Nov 1895). The device uses a primary coil and iron core concentric with a secondary coil with a large number of turns. By using a contact breaker giving abrupt and rapid interruptions in the primary coil current, a concentrated, changing magnetic field produced a high voltage in the secondary coil. He also invented a thermo-electric battery in 1844.«

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