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Tim’s Donuts has 10 employees who are paid $20 per hour.  Th…

Tim’s Donuts has 10 employees who are paid $20 per hour.  The company purchases its inventory, on account, daily.  At December 31, 2021, each of Tim’s Donuts’ employees had worked 15 hours which had not been paid or recorded.  Also on this date, the company had taken receipt of $80,400 of inventory from its suppliers which had not been recorded in the accounts.  As of the beginning of 2021, the company had equipment totaling $2,650,000 which was depreciated at $265,000 per year.  Prior to adjustments, the company’s trial balance showed $310,550 in the wage expense account and $110,375 of inventory. If Tim’s Donuts makes the appropriate adjusting entry, how much will be reported on the December 31, 2021 income statement as wage expense?

Question 8 (20 points) Parts (a) and (b) are distinct from e…

Question 8 (20 points) Parts (a) and (b) are distinct from each other. (a)  Use Stokes’ Theorem to evaluate \(\displaystyle \iint_S \text{curl} \vec{G} \cdot d\vec{S}\), where \(\vec{G}(x,y,z)= \langle yz, xy, xz \rangle\) and \(S\) is the part of the sphere \(x^2+y^2+z^2=4\) with \(x \geq 0\) oriented in the direction of the positive x-axis that lies inside the cylinder \(y^2+z^2=1\). (b) Consider the solid region E bounded below by the cone \(z=\sqrt{x^2+y^2}\) and above by the paraboloid \(z=2-(x^2+y^2)\). Use the Divergence Theorem and cylindrical coordinates to evaluate \(\displaystyle \iint_S \vec{F} \cdot d\vec{S}\), where \(\vec{F} (x,y,z)= (5x\sin^2(z)+\arctan(y))\vec{i}+(5y\cos^2(z)-\ln(1+x^2))\vec{j}+(7z-e^{x-y})\vec{k}\), and S is the boundary of the region E.