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anonymous

  • 5 years ago

I asked this yesterday and had no replies. The gross national product of a certain country is N(t)=t^2+3t+121 billion dollars where t is the number of years after 1990. At what percentage rate will the GNP be changing with respect to time in 1995? I got 13%, is this correct?

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  1. sgadi
    • 5 years ago
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    given that t=5 so GNP=161 The rate of increase of GNP is \[\frac{dGNP}{dt}=2t+3=13\] there fore percentage increase is \[\frac{13}{161}100=8.0745\%\]

  2. anonymous
    • 5 years ago
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    How do you get GNP=161

  3. sgadi
    • 5 years ago
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    I am sorry ..... i did a mistake GNP=t^2+3t+12=5^2+3*5+12=52 so, 13/52*100=25%

  4. anonymous
    • 5 years ago
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    the problem is t^2+3t+121 not 12 i took the derivative of this equation which is 2t+3 then t(5) then I get 13.

  5. sgadi
    • 5 years ago
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    then my first reply is correct .... GNP=t^2+3t+12=5^2+3*5+12=161 so, 13/161*100=8.0745%

  6. anonymous
    • 5 years ago
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    but where do you get 161

  7. sgadi
    • 5 years ago
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    from the given formula .... also given time = t= 1995-1990=5 gross national product (GNP) = t^2+3t+121 =5^2+3*5+121=161

  8. anonymous
    • 5 years ago
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    ok i guess i should replace the t(5) with the original problem and the problem after I take the derivative.

  9. sgadi
    • 5 years ago
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    yes ....

  10. anonymous
    • 5 years ago
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    Thank You

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