It looks like your table had some formatting issues, but I'll reconstruct it as best as possible. It seems you are given **Present Value (PV)**, **Future Value (FV)**, **Number of Periods (n)**, and need to solve for the **interest rate (r)**. The formula is: \[ FV = PV \times (1 + r)^n \] So: \[ r = \left(\frac{FV}{PV}\right)^{1/n} - 1 \] Let's reconstruct the table as you intended: | Present Value (PV) | Future Value (FV) | Number of Periods (n) | Interest Rate (r, %) | |--------------------|-------------------|-----------------------|----------------------| | 8,000 | 8,551 | 3 | ? | | 35,815 | 85,814 | 14 | ? | | 41,983 | 95,834 | 9 | ? | | 40,930 | 205,174 | 9 | ? | Let's solve each: --- ### 1. PV = 8,000, FV = 8,551, n = 3 \[ r = \left(\frac{8,551}{8,000}\right)^{1/3} - 1 = \left(1.068875\right)^{0.3333} - 1 \] \[ r = 1.0225 - 1 = 0.0225 \] **r = 2.25%** --- ### 2. PV = 35,815, FV = 85,814, n = 14 \[ r = \left(\frac{85,814}{35,815}\right)^{1/14} - 1 = \left(2.3966\right)^{0.07143} - 1 \] \[ r = 1.0640 - 1 = 0.0640 \] **r = 6.40%** --- ### 3. PV = 41,983, FV = 95,834, n = 9 \[ r = \left(\frac{95,834}{41,983}\right)^{1/9} - 1 = \left(2.283\right)^{0.1111} - 1 \] \[ r = 1.0946 - 1 = 0.0946 \] **r = 9.46%** --- ### 4. PV = 40,930, FV = 205,174, n = 9 \[ r = \left(\frac{205,174}{40,930}\right)^{1/9} - 1 = \left(5.0126\right)^{0.1111} - 1 \] \[ r = 1.1986 - 1 = 0.1986 \] **r = 19.86%** --- ## Final Table | Present Value (PV) | Future Value (FV) | Number of Periods (n) | Interest Rate (r, %) | |--------------------|-------------------|-----------------------|----------------------| | 8,000 | 8,551 | 3 | 2.25% | | 35,815 | 85,814 | 14 | 6.40% | | 41,983 | 95,834 | 9 | 9.46% | | 40,930 | 205,174 | 9 | 19.86% | **All rates are rounded to two decimal places as requested.**