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In a bank principal increases continuously at the rate of 5% per year and amount of rupees 1000 is deposited with this bank how much will it worth after 10 years.

    • Posted by Gaurav Tiwari 8 years ago

    CBSE > Class 12 > Mathematics
    • 1 answers

    Gautam Singh 8 years ago

    dp/dt =5%of p dp/dt=p/20 dp/p =1/20 dt Integrate both side Log P =t/20 +C At t=0 &p=1000 C=log1000 At t=10 Log P =10/20 +log 1000 Log p/1000 = 1/2 P/1000 =e(power 0.5) P/1000= 1.648 P= 1648

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