how long will it take $45584 to grow into $83185 if it is invested at 2.6% compunded continuously

⚑ Flag

Beverly -First take the words and put them into the interest formula.  Since this is "continuous" interest, use this formula:Now, plug in the values you are given:Solving this problem involves two steps:(1) divide both sides of the equation by 45584 which will result in the following:(2) In order to solve for t, you must take the natural log of both sides of the equation which will get you this:Now just divide both sides by 0.026 which will give you the value of "t".I'll leave it for you to finish up the math.Hope that helped