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a rm with dimensions of (10'6"×14) w/ wall to wall carpeting to be installed. if tge carpet is $2.78 per sq ft & sales tax is 7.5% how much will the carpet cost? roun answer to nearest penny (two decimal places)

a rm with dimensions of (10'6"×14) w/ wall to wall carpeting to be installed-example-1

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10^{^(\prime)}6^(\doubleprime)\text{ = 10' + (}(6)/(12))^(\prime)\text{ = 10.5'}

Area of the wall = L x B = 10.5 ft x 14 ft =


147ft^2
\begin{gathered} total\text{ cost of the carpet before tax = 147 x \$2.78 = \$408.66} \\ S\text{ale tax of 7.5\% on the carpet = }(7.5)/(100)\text{ x \$408.66} \\ =\text{ \$30.6495} \\ \text{Total cost of the carpet = \$408.66 + \$30.6495} \\ =\text{ \$439.2495} \\ \cong439.25\text{ (two decimal places)} \end{gathered}

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