Applications 5-3a Assignment: Applications 5-3a Assigomers Scere: 7500 m Sove Questions ge6fa02h_AP5-3.17 Qaention 17 of 20 . 19 Check My Work 16. 17. Note Please make sure to properly formot your onswers. All dollar figures in the answers need to include the dollor sign and any amount over 1,000 should include the commo ( \( \$ 2,354.67 \). All percentage valves in the onswers need to include a percentage sign (i) . For all hems without 18. specific rounding insiructions, round your answers to two decimal places, show hoth decimal plocee \( (5 \) as). 19. 20 Linda is a salesperson for Spooner's Cleaning Service, which cleans office buildings. She receives a \( 14 \% \) commission for every office that signs a contract for the cleaning services. Last week she recelved \( \$ 1,233,60 \) in commissions. What was the total value of the deaning contracts she sold, rounded to the nearest dollarf \( \square \)

To find the total value of the cleaning contracts Linda sold, we can use the formula for commission: \[ \text{Commission} = \text{Total Sales} \times \text{Commission Rate} \] From the problem, we know: - Commission received: \( C = 1233.60 \) - Commission rate: \( r = 14\% = 0.14 \) We need to find the total sales \( S \). Rearranging the formula gives us: \[ S = \frac{C}{r} \] Now, we can substitute the known values into the equation: \[ S = \frac{1233.60}{0.14} \] Let's calculate this value. Calculate the value by following steps: - step0: Calculate: \(\frac{1233.6}{0.14}\) - step1: Convert the expressions: \(\frac{\frac{6168}{5}}{\frac{7}{50}}\) - step2: Multiply by the reciprocal: \(\frac{6168}{5}\times \frac{50}{7}\) - step3: Reduce the numbers: \(6168\times \frac{10}{7}\) - step4: Multiply: \(\frac{6168\times 10}{7}\) - step5: Multiply: \(\frac{61680}{7}\) Calculating the total sales gives us: \[ S = \frac{1233.60}{0.14} \approx 8811.43 \] Rounding to the nearest dollar, the total value of the cleaning contracts Linda sold is: \[ \boxed{8811} \] Thus, the total value of the cleaning contracts she sold is \( \$ 8,811 \).