The thesis is the main idea of a work of nonfiction. While some essays state the thesis directly, others imply the main idea through hints and suggestions. Writers may use an implied thesis when they want the reader to come to his or her own conclusions.

If you could write a different title for the essay, what would that be?

If an ARM is priced with an initial interest rate of 8 percent and a margin of 2 percent (when the ARM index is also 8 percent at origination) and a fixed rate mortgage (FRM) with constant payment is available at 11 percent, what does this imply about inflation and the forward rates in the yield curve at the time of origination? What is implied if a FRM were available at 10 percent? 12 percent?

As implied earlier, according to Kepler’s laws, Earth’s orbit is an ellipse with the Sun at one focus. The perihelion for Earth’s orbit around the Sun is 147,098,290 km and the aphelion is 152,098,232 km.
a) By placing the major axis along the x-axis, find the average distance from Earth to the Sun. b) The classic definition of an astronomical unit (AU) is the distance from Earth to the Sun, and its value was computed as the average of the perihelion and aphelion distances. Is this definition justified?

In the LMK partnership, Luis's capital is $40,000, Marty's is$50,000, and Karl's is $30,000. They share income in a 4:1:1 ratio, respectively. Karl is retiring from the partnership.

Required

Prepare journal entries to record Karl's withdrawal for this situation:

• Karl is paid$35,000, and all implied goodwill is recorded.

Ethelred the Unready was not ready, yet he covered the 480 miles in 4 hours.

(a) Write the two rates (ratios) implied by this statement.

(b) What was his speed?

(c) At this rate, how long would it take him to go 1440 miles?

What is implied about the graphs of the lines

$$a_{1} x+b_{1} y+c_{1}=0$$

and

$$a_{2} x+b_{2} y+c_{2}=0$$

if

$$\frac{a_{1}}{b_{1}}=\frac{a_{2}}{b_{2}} ?$$

Consider the demand for Fresh Detergent in a future sales period when Enterprise Industries' price for Fresh will be $x_1=3.70$, the average price of competitors' similar detergents will be $x_2=3.90$, and Enterprise Industries' advertising expenditure for Fresh will be $x_3=6.50$. A $95$ percent prediction interval for this demand is given on the following MegaStat output:

(1) Find and report the $95$ percent prediction interval on the output. (2) If Enterprise Industries plans to have in inventory the number of bottles implied by the upper limit of this interval, it can be very confident that it will have enough bottles to meet demand for Fresh in the future sales period. How many bottles is this? (3) If we multiply the number of bottles implied by the lower limit of the prediction interval by the price of Fresh $(\$ 3.70)$, we can be very confident that the resulting dollar amount will be the minimum revenue from Fresh in the future sales period. What is this dollar amount?

In each of the following sentences, underline the correct word or words in parentheses.

Example 1. The cat was (setting, $\underline{{sitting}}$) on the table, licking its whiskers.

From (they’re, their) discussion during class, she (inferred, implied) that everyone agreed with her position.

Use a graphing utility to graph $y_1 = e^x$ and each of the functions $y_{2}=x^{2}, y_{3}=x^{3}, y_{4}=\sqrt{x}$, and $y_5 = |x|$ in the same viewing window. (a) Which function increases at the fastest rate for “large” values of x? (b) Use the result of part (a) to make a conjecture about the rates of growth of $y_{1}=e^{x}$ and $y=x^{n}$, where n is a natural number and x is “large.” (c) Use the results of parts (a) and (b) to describe what is implied when it is stated that a quantity is growing exponentially.

Poor Richard's aphorisms often succeed because of their implied metaphors, or metaphors that do not state explicitly the two things being compared. Re-read aphorisms 4, 7, I5, and 16. Then, identify what each of the following images might mean: a spoonful of honey, lying down with dogs, an empty bag, a small leak.

An object starts from rest at $x=0 \mathrm{~m}$ at time $t=0 \mathrm{~s}$. Five seconds later, at $t=5.0 \mathrm{~s}$, the object is observed to be at $x=40.0 \mathrm{~m}$ and to have velocity $v_x=11 \mathrm{~m} / \mathrm{s}$. a. Was the object's acceleration uniform or nonuniform? Explain your reasoning. b. Sketch the velocity-versus-time graph implied by these data. Is the graph a straight line or curved? If curved, is it concave upward or downward?

An advertisement claims a car can go from zero to 60 in five seconds. a. What unit of measure is implied by 60? b. Is it impressive that a car can go 60? Are there any cars that cannot go 60? c. Draw a speed-time graph for a car that travels from zero to 60 in five seconds.

Find an appropriate parametrization for the given piecewise-smooth curve in $\mathbb{R}^2$, with the implied orientation.
The curve $C$, which goes along $y = x^2$ from the point $(0, 0)$ to the point $(2, 4)$, then in a straight line from $(2, 4)$ to $(0, 4)$, and then along the $y$-axis back to $(0, 0)$

(a) If a hydrocarbon has nine carbon atoms, three double bonds, and one ring, how many hydrogen atoms must it have? (b) Calculate the number of elements of unsaturation implied by the molecular formula $\mathrm{C}_{6} \mathrm{H}_{12}$. (c) Give five examples of structures with this formula $\left(\mathrm{C}_{6} \mathrm{H}_{12}\right)$. At least one should contain a ring, and at least one a double bond.