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Question
the gross profits for january at tower center for the five departments were:
appliance department: $15,000
automotive department: $20,000
clothing department: $55,000
grocery department: $235,000
nursery department: $25,000.
change each of the profit amounts to the nearest tenth of a percent. now, change each of these percents to degrees. (round your answers to the nearest whole number.)
appliance department:
automotive department:
clothing department:
grocery department:
nursery department:
Step1: Calculate Total Profit
First, find the total gross profit by adding all department profits:
\(15000 + 20000 + 55000 + 235000 + 25000 = 350000\)
Step2: Appliance Department - Percent and Degrees
- Percent: \(\frac{15000}{350000} \times 100 \approx 4.3\%\)
- Degrees: \(4.3\% \times 360^\circ \approx 15.5^\circ \approx 16^\circ\)
Step3: Automotive Department - Percent and Degrees
- Percent: \(\frac{20000}{350000} \times 100 \approx 5.7\%\)
- Degrees: \(5.7\% \times 360^\circ \approx 20.5^\circ \approx 21^\circ\)
Step4: Clothing Department - Percent and Degrees
- Percent: \(\frac{55000}{350000} \times 100 \approx 15.7\%\)
- Degrees: \(15.7\% \times 360^\circ \approx 56.5^\circ \approx 57^\circ\)
Step5: Grocery Department - Percent and Degrees
- Percent: \(\frac{235000}{350000} \times 100 \approx 67.1\%\)
- Degrees: \(67.1\% \times 360^\circ \approx 241.6^\circ \approx 242^\circ\)
Step6: Nursery Department - Percent and Degrees
- Percent: \(\frac{25000}{350000} \times 100 \approx 7.1\%\)
- Degrees: \(7.1\% \times 360^\circ \approx 25.6^\circ \approx 26^\circ\)
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Appliance Department: \(16^\circ\)
Automotive Department: \(21^\circ\)
Clothing Department: \(57^\circ\)
Grocery Department: \(242^\circ\)
Nursery Department: \(26^\circ\)