pre-cal... compound interest and modeling data

Please help me with these 2 problems!

1. Complete the table for the time t necessary for P dollars to triple if interest is compounded continuously at rate r.

r= 2%, t=?
r= 4%, t=?
r= 6%. t=?
r= 8%, t=?
r= 10%, t=?
r= 12%, t=?

2. Draw a scatter plot of the data in the above exercise. Use the regression feature of a graphing utility to find a model for the data.

^^I have no clue what the regression feature is.

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  1. 1. To get the values of t you will need for your table, solve the equation
    (1+r)^t = 3.00
    Hint: use logs.
    For r = 6%
    (1.06)^t = 3
    t = log 3/log 1.06 = 18.85 years

    2. I don't have a graphing calculator/utility. There might be some online application you can use. The product of r and the tripling time will be nearly a constant. You should try fitting a relation
    t = constant/r, instead of a straight-line fit.

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    2. 👎 1
    posted by drwls
  2. 2% - 54.93
    4% - 27.47
    6% - 18.31
    8% - 13.73
    10% - 10.99
    12% - 9.16

    1. 👍 2
    2. 👎 1
    posted by Tom
  3. 2% = 68
    4% = 56
    6% = 49
    8% = 38
    10% = 29
    12% = 16

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