$$\begin{matrix} \text{Estimated uncollectible accounts based} & \text{}\\ \text{on aging accounts receivable} & \text{\$ 3,697.32}\\ \text{Accrued interest income} & \text{137.50}\\ \text{Merchandise inventory} & \text{45,058.15}\\ \text{Supplies inventory} & \text{126.00}\\ \text{Jalue of prepaid insurance} & \text{1,535.80}\\ \text{Annual depreciation expense- equipment} & \text{2,250.00}\\ \text{Accrued interest expense} & \text{277.58}\\ \text{Prepaid rent income earned} & \text{1,000.00}\\ \end{matrix}$$

Complete the adjusted trial balance.

Add commas where necessary. Write C in the blank if the sentence is correct as written. _____ Dear Mother and Father

The ordered pairs (0, -2), (1, 1), (2, 4), (3, 7), and (4,10) represent a function. What is a rule that represents this function?

Lakeland Company's payroll register has the following totals for the semimonthly pay period, May 1-15, of the current year. T accounts and a cash payments journal page are provided in the Working Papers.

$$\begin{matrix} \text{Total} & \text{Federal Income} & \text{Social Security} & \text{Medicare Tax}\\ \text{Earnings} & \text{Tax Withheld} & \text{Tax Withheld} & \text{Withheld}\\ \text{\$ 13,800.00} & \text{\$ 925.00} & \text{\$ 855.60} & \text{\$ 200.10}\\ \end{matrix}$$

Use the T accounts provided to analyze Lakeland's May 1-15 payroll.

Find the derivatives of the following functions. f(x)=x tanh x

Choose the general slicing method, the disk/washer method, or the shell method to answer the following questions. The region bounded by $y=4 / \sqrt{x+1}, y=1$, and x=0 is revolved about the y-axis. What is the volume of the solid that is generated?

Write a system of linear inequalities with the given characteristics. Solutions are only in Quadrant II.

Ten cards are numbered 1 through 10. The cards are shuffled thoroughly and placed in a stack. What is the probability that the numbers on the top three cards are in ascending order?

Evaluate the following integrals. $\int \frac{d x}{(x+3) \sqrt{x^{2}+6 x}}$

Solve each equation or inequality. If there Is no solution, write no solution. $4-3|m+2|>-14$

Large quantities of liquefied natural gas (LNG) are shipped by ocean tanker. At the unloading port, provision is made for vaporization of the LNG so that it may be delivered to pipelines as gas. The LNG arrives in the tanker at atmospheric pressure and 113.7 K, and represents a possible heat sink for use as the cold reservoir of a heat engine. For unloading of LNG as a vapor at the rate of 9000 $m^3 \cdot s^{−1},$ as measured at $25^\circ C$ and 1.0133 bar, and assuming the availability of an adequate heat source at $30^\circ C,$ what is the maximum possible power obtainable and what is the rate of heat transfer from the heat source? Assume that LNG at $25^\circ C$ and 1.0133 bar is an ideal gas with the molar mass of 17. Also assume that the LNG vaporizes only, absorbing only its latent heat of $512 \mathrm{kJ} \cdot \mathrm{kg}^{-1} \text { at } 113.7 \mathrm{K}$

An ideal gas with constant heat capacity undergoes a change of state from conditions $T_{1}, P_{1}$ to conditions $T_{2}, P_{2}.$ Determine $\Delta H\left(\mathrm{J} \cdot \mathrm{mol}^{-1}\right) \text { and } \Delta S\left(\mathrm{J} \cdot \mathrm{mol}^{-1} \cdot \mathrm{K}^{-1}\right)$ for one of the following cases. (a) $T_{1}=300 \mathrm{K}, P_{1}=1.2 \text { bar, } T_{2}=450 \mathrm{K}, P_{2}=6 \text { bar, } C_{P} / R=7 / 2$ (b) $T_{1}=300 \mathrm{K}, P_{1}=1.2 \text { bar, } T_{2}=500 \mathrm{K}, P_{2}=6 \text { bar }, C_{P} / R=7 / 2$ (c) $T_{1}=450 \mathrm{K}, P_{1}=10 \text { bar, } T_{2}=300 \mathrm{K}, P_{2}=2 \text { bar, } C_{P} / R=5 / 2$ (d) $T_{1}=400 \mathrm{K}, P_{1}=6 \text { bar, } T_{2}=300 \mathrm{K}, P_{2}=1.2 \text { bar }, C_{P} / R=9 / 2$ (e) $T_{1}=500 \mathrm{K}, P_{1}=6 \mathrm{bar}, T_{2}=300 \mathrm{K}, P_{2}=1.2 \mathrm{bar}, C_{P} / R=4$

One hundred grams of a particular radioactive substance decays according to the function $m(t)=100 e^{-t / 650}$, where t>0 measures time in years. When does the mass reach 50 grams?

The amount a basketball coach spends at a sporting goods store depends on the number of basketballs the coach buys. The situation is represented by the function rule $a = 15b$. a. Make a table of values and graph the function rule. Is the graph continuous or discrete? Explain. b. Suppose the coach spent $120. How many basketballs did she buy?