Several years ago, Jenkins Company acquired a controlling interest in Lambert Company. Lambert recently borrowed $100,000 from Jenkins. In consolidating the financial records of these two companies, how will this debt be handled?

The position of a car moving on a straight highway is given by

$$x=t^2-\frac{t^3}{90} m$$

where t is the time in seconds. Determine (a) the distance traveled by the car before it comes to a stop; and (b) the maximum velocity reached by the car.

As a football player moves in a straight line, an opponent exerts a constant force $(126 \mathrm{~N}) \hat{\imath}+(168 \mathrm{~N}) \hat{\jmath}$ on him. How much work does the opponent do on the football player?

You are holding one of the tethers attached to the top of a giant character balloon that is floating approximately 20 feet above ground level. You are standing approximately 100 feet ahead of the balloon.

Find an equation for the length l of the tether you are holding in terms of h, the height of the balloon from top to bottom.

Height velocity graphs are used by endocrinologists to follow the progress of children with growth deficiencies. The given figure shows the height velocity curves of an average boy and an average girl between ages 3 and 18.

(a) Which curve is for girls and which is for boys? Explain how you can tell.

(b) About how much does the average boy grow between ages 3 and 10 ?

(c) The growth spurt associated with adolescence and the onset of puberty occurs between ages 12 and 15 for the average boy and between ages 10 and 12.5 for the average girl. Estimate the height gained by each average child during this growth spurt.

(d) When fully grown, about how much taller is the average man than the average woman? (The average boy and girl are about the same height at age 3.)

Assuming that the returns from holding small company stocks are normally distributed, what is the approximate probability that your money will double in value in a single year? Triple in value?

A 150 g baseball pitched at a speed of 40 m / s is hit straight back to the pitcher at a speed of 60 m / s. What is the magnitude of the average force on the ball from the bat if the bat is in contact with the ball for 5.0 ms ?

The graph of a function f forms a straight line from (-1,-1) to (0,-1) and becomes a diagonal line from (0,-1) to (2,1) then form a diagonal line from (2,1) to (3,0). Sketch the graphs of the following equations.

$$y=|f(x)|$$

Two straight wires are positioned at right angles to each other as in figure. What is the net force on each wire? Is there a net torque on each wire?

In given problem, use Theorem to evaluate the given integral. Write each answer in the form $a+i b$.

$\int_C \frac{1}{z} d z, C$ is the straight line segment between $z=1+i$ and $z=4+4 i$

Charles purchased 50 shares of a stock at $23 per share. He paid a$15 commission to his broker for the purchase. How much money, in dollars, did he spend for the purchase and commission combined?

Story Company’s inventory records for the month of November reveal the following:

$$\begin{array}{ll} \text { Inventory, November } 1 & 300 \text { units @ } \$ 27.00 \\ \text { November 4, purchase } & 375 \text { units @ } \$ 26.50 \\ \text { November 7, sale } & 450 \text { units @ } \$ 63.00 \\ \text { November 13, purchase } & 330 \text { units @ } \$ 26.00 \\ \text { November 18, purchase } & 225 \text { units @ } \$ 25.40 \\ \text { November 22, sale } & 570 \text { units @ } \$ 63.75 \\ \text { November 24, purchase } & 300 \text { units @ } \$ 25.00 \\ \text { November } 28, \text { sale } & 165 \text { units @ \$64.50 } \end{array}$$

Selling and administrative expenses for the month were $16,200. Depreciation expense was$6,000. Story’s tax rate is 35%.

Required

1. Calculate the cost of goods sold and ending inventory under each of the following three methods assuming a periodic inventory system: (a) FIFO, (b) LIFO, and (c) weighted average.
2. Calculate the gross profit and net income under each costing assumption.
3. Under which costing method will Story pay the least taxes? Explain your answer.

Starting from the rest and moving in a straight line, a cheetah can achieve a velocity of $V_2=31\:\dfrac{\text{m}} {\text{s}}$ during a period of $t_2=4\text{ s}$. What is the average acceleration of the cheetah?

A car is traveling at 100 km/h along a straight, level road when its brakes become locked. Determine the stopping distance of the car knowing that the coefficient of kinetic friction between the tires and the road is 0.65.