Question

RL 11: Logarithm Problem-Compound Interest 2 The following problem will be graded for correctness and on the precision, clarity, and detail of you explanation. It will be entered under the PROJECT section of Jupiter grades (2 points) The formula A = Pert calculates the amount an investment earning a nominal rate of r compounded continuously is worth. In 3 Show that the amount of time it takes for the investment to triple in value is given by the expression r TIP: Present your solution/write-up as two-columns, left column are the steps, the actual mathematical work, and the right column explains that step

Answer 1

step number Mathematical work Explanation A = pert As already mentioned in the question at any time & Amount given by A= Pet A=3P 3p is the triple of amount we invented. Invented amount in P 3 so 3P = pert 3= ert but A= BP in the equation of amount 'P' is cancelled out from both rides Taking natural log (In) In (3) = rt of both rides t = ln (3) Hence, proved that amount of time it takes for investment to triple is in (3) 4 2020-5-26 23:39