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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?

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A software distributor charges $41\$41 per license of a particular utility. The distributor offers a 1010%\% discount on each license after the first 2020. How much would a business pay to buy 4040 licenses of the utility, in dollars?\newline\square

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Q. A software distributor charges $41\$41 per license of a particular utility. The distributor offers a 1010%\% discount on each license after the first 2020. How much would a business pay to buy 4040 licenses of the utility, in dollars?\newline\square
  1. Calculate Full Price Cost: First 2020 licenses are at full price, so calculate the cost for those.\newline20×($41)=($820)20 \times (\$41) = (\$820)
  2. Calculate Discounted Price: The remaining 2020 licenses get a 10%10\% discount, so find the discounted price per license.\newline$(41)×0.10=$(4.1)\$(41) \times 0.10 = \$(4.1)\newlineDiscounted price per license = $(41)$(4.1)=$(36.9)\$(41) - \$(4.1) = \$(36.9)
  3. Calculate Cost for Discounted Licenses: Now calculate the cost for the 2020 discounted licenses. 20×($36.9)=($738)20 \times (\$36.9) = (\$738)
  4. Calculate Total Cost: Add the cost of the first 2020 licenses to the cost of the 2020 discounted licenses to get the total cost.\newline$820+\$820 + 738738 = $\(1558\)

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