Pre-Calculus

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How to solve this problem by using logarithm:

David inherits $10000 and invests in a Guaranteed Investment Certificate (GIC) that earns 6%, compounded semi-annually. How long will it take for the GIC to be worth $11000.

  • Pre-Calculus -

    10000(1.03)^n = 11000 , where n is half=years

    1.03^n = 1.1
    n log 1.03 = log 1.1
    n = log 1.1/log 1.03 = 3.224 half years

    it will take 1.612 years or about 1 1/2 years

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