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Math Help - 2 Easy questions that for some reason I can't figure out!

  1. #1
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    2 Easy questions that for some reason I can't figure out!

    1.) Money gains interest at a rate of 50% every 4 years. What is the value of $5,000 after 6 months? After 7 years?

    2.) Bacteria double every 30 minutes. How much must you have now in order to have 5 million bacteria in 45 mins?

    I don't know why, but these two are giving me trouble. I know you have to use them in the formula A = P(1+r)^t, but the conversions are throwing me off.

    Can anyone help??
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  2. #2
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    Ok, I figured out the first one...

    v= 5000 (1+0.5)^(1/8) = $5259.95 ; v= 5000(1+0.5)^1.75 = $10165.52


    Still stuck on the second question...
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  3. #3
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    Bacteria Problem

    If bacteria double in 30 minutes, then in 15 min (half the time) they multiply with the square root of 2.

    x * 2 * sqrt(2) = 5 million

    x= 5 million / 2 / sqrt(2)

    hope it helps
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