ation and Percents Question 60, 4.5.33 HW Score: \( 90.48 \%, 57 \) of 63 points Points: 0 of 1 Save The pressure reading coming out of a pump is 175 b . Every 50 if section reduces the pressure by about \( 4 \% \). What will the nozzle pressure be at the end of six 50 fi sections? (Hint One reduction of \( 24 \% \) is not equivalent to six reductions of \( 4 \% \) each. You must do this the long way) The nozzie pressure at the end of six 50 fif sections is \( \square \) b (Round to the nearest whole number as needed.)

To determine the nozzle pressure after six \( 50 \, \text{fi} \) sections, where each section reduces the pressure by \( 4\% \), we need to apply the reduction successively rather than simply subtracting \( 24\% \) from the original pressure. Here's a step-by-step calculation: 1. **Initial Pressure:** \[ P_0 = 175 \, \text{b} \] 2. **Pressure Reduction per Section:** Each section reduces the pressure by \( 4\% \), which means the remaining percentage after each section is \( 96\% \) or \( 0.96 \) in decimal form. 3. **Calculating the Pressure After Six Sections:** \[ P_{\text{final}} = P_0 \times (0.96)^6 \] 4. **Step-by-Step Calculation:** \[ (0.96)^6 \approx 0.7827 \] \[ P_{\text{final}} = 175 \times 0.7827 \approx 136.975 \] 5. **Rounding to the Nearest Whole Number:** \[ P_{\text{final}} \approx 137 \, \text{b} \] **Answer:** The nozzle pressure at the end of six \( 50 \, \text{fi} \) sections is **\( 137 \, \text{b} \)**.