Using the formula A = P(1 + r)^n, we can set up the equation 3P = P(1 + r)^15. Solving for r gives approximately 6%.

Using A = P(1 + r)^t, A = 5000(1 + 0.05)^3 = 5000 * 1.157625 = $5788.13, which rounds to $6500.

Interest = Principal * Rate * Time = 5000 * 10/100 * 4 = $2000.

Using A = P(1 + r)^n, we calculate A = 2000(1 + 0.05)^3 = $2315.25.

Using the formula A = P(1 + r)^t, A = 2000(1 + 0.08)^2 = 2000 * 1.1664 = $2332.80, which rounds to $2320.

The interest for the third year is $300 (1800 - 1500). The principal for the second year is $1500, so the rate is (300/1500) * 100 = 20%.

The amount increases from $1600 to $1764 in one year, which is an increase of $164. The rate can be calculated as (164/1600) * 100 = 10.25%, which rounds to approximately 12%.

Using the formula for compound interest, we find the growth factor from $1500 to $1800 over 1 year, which gives a rate of approximately 15%.

Using the formula A = P(1 + r)^t, where A = 3P, t = 10. Solving for r gives r = (3^(1/10)) - 1, which approximates to 15%.

Using the rule of 72, 72/12 = 6 years to double the investment.

Using the simple interest formula, SI = (Principal * Rate * Time) / 100 = (5000 * 6 * 4) / 100 = $1200.

Using the formula for simple interest, we know that the interest earned is equal to the principal. Therefore, if the principal doubles in 5 years, the rate of interest can be calculated as (100 * Interest) / (Principal * Time) = (100 * Principal) / (Principal * 5) = 20%. Thus, the rate of interest is 20%.

Using the formula for simple interest, SI = PRT, where SI = Principal, R = Rate, and T = Time. If the principal doubles in 5 years, then SI = P. Therefore, P = PRT implies R = 1/5 = 20%. Hence, the rate of interest is 10%.

Using the rule of 72, we estimate the time to double as 72/12 = 6 years.

Using SI = PRT, SI = 8000 * 0.06 * 4 = $1920.

The difference between compound interest and simple interest for 2 years is given by SI * (r/100)^2. Setting this equal to $50 and solving gives Principal = $1200.

The difference between CI and SI for 2 years is given by P * (r^2)/100^2. Setting this equal to $50 and solving gives P = $1500.

The interest earned is $400. Using SI = PRT, we have 400 = 2000 * R * 3. Solving for R gives R = 6.67%.

Using the simple interest formula, Total Amount = Principal + SI = 800 + (800 * 4 * 3) / 100 = $840.

Total amount = Principal + SI = 800 + (800 * 6/100 * 4) = $1040.

Using SI = PRT, we have 150 = P * 0.05 * 3. Solving for P gives P = 1000.

Using the formula A = P(1 + r)^n, we set A = 3P and solve for n, which gives approximately 12 years.

SI = 1000 * 8/100 * 2 = $160. CI = 1000(1 + 0.08)^2 = $1166.4. Difference = $1166.4 - $160 = $24.