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A software distributor charges $41 per license of a particular utility. The distributor offers a 10% discount on each license after the first 20 . How much would a business pay to buy 40 licenses of the utility, in dollars?

A software distributor charges $41 \$ 41 per license of a particular utility. The distributor offers a 10% 10 \% discount on each license after the first 2020 . How much would a business pay to buy 4040 licenses of the utility, in dollars?

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Q. A software distributor charges $41 \$ 41 per license of a particular utility. The distributor offers a 10% 10 \% discount on each license after the first 2020 . How much would a business pay to buy 4040 licenses of the utility, in dollars?
  1. Calculate cost for first 2020 licenses: Calculate the cost for the first 2020 licenses without any discount.\newlineCost for 2020 licenses = 20×$4120 \times \$41
  2. Perform calculation for cost of first 2020 licenses: Perform the calculation for the cost of the first 2020 licenses.\newlineCost for 2020 licenses = 20×$41=$82020 \times \$41 = \$820
  3. Calculate discount rate for licenses after first 2020: Calculate the discount rate for the licenses after the first 2020. \newlineDiscount rate = 10%10\% of $41\$41 = 0.10×$410.10 \times \$41
  4. Perform calculation for discount rate: Perform the calculation for the discount rate. Discount rate = $0.10×$41=$4.10\$0.10 \times \$41 = \$4.10
  5. Calculate discounted price for each license after first 2020: Calculate the discounted price for each license after the first 2020. \newlineDiscounted price per license = $41\$41 - $4.10\$4.10
  6. Perform calculation for discounted price per license: Perform the calculation for the discounted price per license. \newlineDiscounted price per license = $41−$4.10=$36.90\$41 - \$4.10 = \$36.90
  7. Calculate cost for remaining 2020 licenses with discount: Calculate the cost for the remaining 2020 licenses with the discount.\newlineCost for 2020 discounted licenses = 20×$36.9020 \times \$36.90
  8. Perform calculation for cost of 2020 discounted licenses: Perform the calculation for the cost of the 2020 discounted licenses.\newlineCost for 2020 discounted licenses = 20×$36.90=$73820 \times \$36.90 = \$738
  9. Calculate total cost for all 4040 licenses: Calculate the total cost for all 4040 licenses.\newlineTotal cost=Cost for 20 licenses+Cost for 20 discounted licenses\text{Total cost} = \text{Cost for 20 licenses} + \text{Cost for 20 discounted licenses}
  10. Perform calculation for total cost: Perform the calculation for the total cost.\newlineTotal cost =\text{Total cost =} $820\$820 + $738\$738 = $1558\$1558

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