Question

1. -/5 points

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: $15,000.
change each of the profit amounts to the nearest tenth of a percent. then, 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:

Explanation:

Step1: Calculate Total Profit

First, find the total profit by adding all department profits:
\( 15000 + 20000 + 55000 + 235000 + 15000 = 340000 \)

Step2: Appliance Department - Percent

Calculate the percentage for Appliance:
\( \frac{15000}{340000} \times 100 \approx 4.4118\% \approx 4.4\% \)
Then convert to degrees (a circle is \( 360^\circ \)):
\( 4.4118\% \times 360 \approx 15.9^\circ \approx 16^\circ \)

Step3: Automotive Department - Percent

Percentage for Automotive:
\( \frac{20000}{340000} \times 100 \approx 5.8824\% \approx 5.9\% \)
Degrees:
\( 5.8824\% \times 360 \approx 21.2^\circ \approx 21^\circ \)

Step4: Clothing Department - Percent

Percentage for Clothing:
\( \frac{55000}{340000} \times 100 \approx 16.1765\% \approx 16.2\% \)
Degrees:
\( 16.1765\% \times 360 \approx 58.2^\circ \approx 58^\circ \)

Step5: Grocery Department - Percent

Percentage for Grocery:
\( \frac{235000}{340000} \times 100 \approx 69.1176\% \approx 69.1\% \)
Degrees:
\( 69.1176\% \times 360 \approx 248.8^\circ \approx 249^\circ \)

Step6: Nursery Department - Percent

Percentage for Nursery:
\( \frac{15000}{340000} \times 100 \approx 4.4118\% \approx 4.4\% \)
Degrees:
\( 4.4118\% \times 360 \approx 15.9^\circ \approx 16^\circ \)

Answer:

• Appliance Department: ~4.4%, ~16°
• Automotive Department: ~5.9%, ~21°
• Clothing Department: ~16.2%, ~58°
• Grocery Department: ~69.1%, ~249°
• Nursery Department: ~4.4%, ~16°