Choosing stocks by searching for predictable patterns in stock prices is called _____. a. fundamental analysis b. technical analysis c. index management d. random walk investing

The formula for compound interest is: A = P(1 + r/n)^(nt) Where: A = the final amount P = the principal (initial amount) r = the annual interest rate (as a decimal) n = the number of times the interest is compounded per year t = the time (in years) In this case, we know: P = $400 A = $1,800 t = 15 years n = 4 (since the interest is compounded quarterly) We can rearrange the formula to solve for r: r = n[(A/P)^(1/nt) - 1] Plugging in the values, we get: r = 4[(1800/400)^(1/(4*15)) - 1] Simplifying, we get: r = 0.0583 So the interest rate needed for the money to grow to $1,800 in 15 years if the interest is compounded quarterly is \approx imately 6% (0.0583 rounded to the nearest percent).