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.

  1. 👍 1
  2. 👎 1
  3. 👁 2,187
  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.

    1. 👍 0
    2. 👎 3
  2. 2% - 54.93
    4% - 27.47
    6% - 18.31
    8% - 13.73
    10% - 10.99
    12% - 9.16

    1. 👍 9
    2. 👎 2
  3. 2% = 68
    4% = 56
    6% = 49
    8% = 38
    10% = 29
    12% = 16

    1. 👍 0
    2. 👎 9

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math-PLEASE check my answers

    What types of problems can be solved using the greatest common factor? What types of problems can be solved using the least common multiple? Complete the explanation. *** Use the words 'same' and 'different' to complete the

  2. math

    Complete the table for a savings account in which interest is compounded continuously. (Round your answers to four decimal places.) Initial Investment: $350 Annual % Rate: % Time to Double: yr Amount After 10 Years: $435.21

  3. Math

    School is 2 miles from home along a straight road. The table shows your distance from home as you walk home at a constant rate. Time(mins): 10-20-30 Distnce(mi)1.5-1-0.5 1)Is the relationship in the table proportional? 2)Find your

  4. PRE-CAL

    Complete the table for the time t (in years) necessary for P dollars to triple when interest is compounded continuously at rate r. (Round your answers to two decimal places.) R=2% t=? tried to plug in as A=Pe^rt since continiously

  1. Math

    A Canadian goose migrated at a steady rate of 3 miles every 4 minutes. I have to complete the table below. Please help Time(min) 4 8 12 16 20 Distance (mi) 3 How would I figure out the rest of this table? Please help.

  2. Chemistry

    Complete the table by filling in the formula for the ionic compound formed by each pair of cations and anions, as shown for the first pair. Ion K+ NH+4 Mg2+ Fe3+ Cl- OH- CO3 2- PO3- 4 Complete the fourth row of the table.

  3. math

    Complete the table for a savings account in which interest is compounded continuously. initial investment = $600 annual % rate = ? time to double ? Amount after 10 years = $19,205.00 I have no idea how to solve this.

  4. Chemistry

    Expressing amounts of energy in different energy units is necessary to solve many chemistry problems. For practice, complete the following table. FILL IN THE BLANKS PLEASE. The Joule (J) is the SI unit of energy. 1 calorie (cal) =

  1. algebra

    i need you to check my answers for the following questions: use the table to answer problems 1 to 4. the table lists the commuting times for 5 people. write each ratio in the form a/b, and then as a decimal. tell whether each

  2. Math

    Yolanda completed 14/25 of her math problems before her break and 1/5 of her math problems after her break. What fraction of her math problems did she complete?

  3. French

    Please help me as I have no idea what to do. Use the verb shown to complete the sentence. nous / avoir Nous_______quinze livres. Use the verb shown to complete the sentence. tu / prendre Qu'est-ce que tu_______pour le petit

  4. Math help! Hurry Please~

    1. Scientists estimate the rate of the wildebeest running at full speed to be 66 feet per second. Write a function rule to describe the relationship between the time, t, and the distance ,d, a wildebeest travels when running at

You can view more similar questions or ask a new question.