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Find the accumulated value of a 10 year continuously paying annuity if the payment rate is ( P(t)=100 ) /year and the force of interest

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Find the accumulated value of a 10 year continuously paying annuity if the payment rate is \\( P(t)=100 \\) /year and the force of interest is given by \\( 3 /(1+3 t) \\)

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