Charlie invest $425 in a savings account that pays interest at an annual rate of 4% compounded continuously approximately how much time will it take for his investment to double?

  17.3 years

Step-by-step explanation:

For some annual interest rate r and time in years t, the initial account value is multiplied by e^(rt).

You want the multiplier e^(.04t) to have a value of 2:

  2 = e^(.04t)

  ln(2) = 0.04t . . . . . take natural logs

  t = ln(2)/0.04 = 17.329 . . . . . divide by the coefficient of t

It will take about 17.3 years for the investment to double.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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