Using End Marks Correctly. Add the proper end mark to enchant item. Look out ____

Prepare journal entries to record the following transactions involving the short-term stock investments of Duke Co., all of which occurred during the current year.

On July 1, received a $1 per share cash dividend on the RPI stock purchased in part a.

An air-track glider attached to a spring oscillates between the 10 cm mark and the 60 cm mark on the track. The glider completes 10 oscillations in 33 s. What are the (a) period, (b) frequency, (c) angular frequency, (d) amplitude, and (e) maximum speed of the glider?

Solve each equation for solutions over the interval $[0,2 \pi)$ by first solving for the trigonometric function. Do not use a calculator.

$$\sin x \cot x=\sin x$$

Why is the following statement not true according to Dalton's law of partial pressures? "In a mixture of argon and neon, if neon has a pressure of $12 \mathrm{kPa}$ and argon has a pressure of $15 \mathrm{~mm} \mathrm{Hg}$, the total pressure of the gases is $27 \mathrm{kPa}$."

Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither.

$3 x+5 y=10$

$$5 x-3 y=-6$$

The term $t$ (in years) of a 200,000 dollars home mortgage at 7.5 precents interest can be approximated by

$$t=13.375 \ln \left(\frac{x}{x-1250}\right), \quad x>1250$$

where $x$ is the monthly payment in dollars.

Write a short paragraph describing the benefit of the higher monthly payment.

Determine the number that can be used in place of the question mark to make the equation true. $2^?=64$

What types of functions are $f(x)=e^x$ and $g(x)=x^e$ ? Compare the differentiation formulas for $f$ and $g$.

A meteorologist is assembling a weather balloon. The balloon's envelope has a volume of $60000 \mathrm{~L}$ and a mass of $4.0 \mathrm{~kg}$. The balloon must lift $20.0 \mathrm{~kg}$ of instruments in addition to its own mass. When properly inflated, the balloon must have a pressure of $90 \mathrm{kPa}$ at a temperature of $15^{\circ} \mathrm{C}$. The mass that the balloon can lift is the mass of the air it displaces minus the mass of the gas inside its envelope. The meteorologist wants to use methane, $\mathrm{CH}_4(\mathrm{~g})$, to fill the balloon. His colleague, however, believes that helium, despite its greater cost, is the only gas that will work. Assuming that the average molar mass of air is $28.90 \mathrm{~g} / \mathrm{mol}$, which gas is better: methane or helium? Show calculations to support your answer.

For each vector function r=r(t), find the unit tangent vector T and the principal unit normal vector N at t. $\mathbf{r}(t)=e^{t} \mathbf{i}+e^{-t} \mathbf{j} \quad t=0$

A ladder of length l, standing on level ground, is leaning against a vertical wall. The base of the ladder begins to slide away from the wall. Introduce a coordinate system so that the wall lies along the positive $y$-axis, the ground is on the positive $x$-axis, and the base of the wall is the origin.

(a). What is the equation of the path followed by the midpoint of the ladder?

(b). What is the equation of the path followed by any point on the ladder?

A ladder leans against a wall so that its slope is 2.1. The top of the ladder is 12 vertical feet above the ground. What is the horizontal distance from the base of the ladder to the wall. (Suppose that the positive direction points from the base of the ladder toward the wall.)

determine whether u and v are orthogonal, parallel, or neither. u = 2i - 3j + k , v = -i - j - k