For each of the following items, add the prefix given to form a new word. Write the new word on the line provided.

il+ legal = $\underline{\hspace{2cm}}$

Why is the boiling point of $\text{H}_{2}\text{O}$ higher than that of $\text{H}_{2}\text{S}$?

A market's old parking lot held $48$ cars. The new lot holds $37.5\%$ more cars. How many parking spaces are on the new lot?

You have come across the following in a newspaper article: “Revenues of HAL Home Heating Oil Inc. are rising by $4.2 million per year. This is due to an annual increase of 70c per gallon in the price HAL charges for heating oil and an increase in sales of 6 million gallons of oil per year.” Comment on this analysis.

A centrifugal pump delivers $550 \mathrm{gal} / \mathrm{min}$ of water at $20^{\circ} \mathrm{C}$ when the brake horsepower is $22$ and the efficiency is $71$ percent. (a) Find the head rise in $\mathrm{ft}$ and the pressure rise in $\mathrm{lbf} / \mathrm{in}^2$. (b) Also find the head rise and horsepower if instead the delivery is $550\ \mathrm{gal} / \mathrm{min}$ of gasoline at $20^{\circ} \mathrm{C}$.

Name the operation that should be performed first. Do not perform the calculation.

7-9+15

The base of a triangle is increasing at a constant rate of 2 cm/s and its height is decreasing at a rate of 1 cm/s. What is the rate of change of the area of the triangle (in $\mathrm{cm}^{2} / \mathrm{s}$), at the instant when the height is 5 cm and the area is 5 $\mathrm{cm}^{2}$? (A) 2, (B) 4, (C) 6, (D) 8.

In each a sequence is defined recursively. (a) Use iteration to guess an explicit formula for the sequence. (b) Use strong mathematical induction to verify that the formula of part (a) is correct.

$$u _ { k } = u _ { k - 2 } \cdot u _ { k - 1 }$$

, for all integers

$$k \geq 2$$

,

$$u _ { 0 } = u _ { 1 } = 2$$

.

Universal Leasing leases electronic equipment to a variety of businesses. The company’s primary service is providing alternate financing by acquiring equipment and leasing it to customers under long-term leases. Universal earns interest under these arrangements at a 10% annual rate.

Universal purchased an electronic typesetting machine on December 31, 2020, for $90,000 and then leased it to Desktop, Inc., a local publisher. The six-year operating lease term commenced January 1, 2021, and the lease contract specified annual payments of$8,000 beginning December 31, 2021, and on each December 31 through 2026. The machine’s estimated useful life is 15 years with no estimated residual value.

The publisher had the option to terminate the lease after four years. At the beginning of the lease, there was no reason to believe the lease would be terminated.

1. Prepare the appropriate entries for Universal Leasing from the beginning of the lease through the end of 2021.

2. At the beginning of 2022, there was a significant indication that Desktop’s economic incentive to terminate the lease had changed causing both companies to believe termination of the lease at the end of four years (three years remaining) is “reasonably certain.” Prepare any appropriate entries for Universal Leasing at January 1, 2022, to reflect the change in the lease term.

3. Prepare the appropriate entries pertaining to the lease for Universal Leasing at December 31, 2022.

Perform the indicated operation for the given modular system.

$$3+7 \equiv \bmod \varphi$$

For each of the following words, add the suffix given to form a new word. Write the new word on the line provided.

admire + able = $\underline{\hspace{2cm}}$

When the metric system was developed in France, it was suggested to change the measure of one revolution from $360^{\circ}$ to 400 grads. This was known as gradian measure. Gradian measure has not enjoyed wide popularity, but most calculators can handle angles measured in gradians. Look for a key marked DRG on your scientific calculator. Alternatively, look for a MODE key, as it may be an option in the mode menu. a) What is the measure of a right angle in gradians? b) Determine the radian measure of an angle of 150 grads.

Natick Industries leased high-tech instruments from Framingham Leasing on January 1, 2021. Natick has the option to renew the lease at the end of two years for an additional three years. Natick is subject to a $45,000 penalty after two years if it fails to renew the lease. Framingham Leasing purchased the equipment from Waltham Machines at a cost of$250,177.

$$\begin{array}{ll} \hline\text{Related Information:}\\ \text { Lease term } & 2 \text { years (8 quarterly periods) } \\ \text { Lease renewal option for an additional } & 3 \text { years (12 quarterly periods) } \\ \text { Quarterly lease payments } & \$ 15,000 \text { at Jan. 1, 2021, and at Mar. 31, June 30, } \\ & \text { Sept. 30, and Dec. 31 thereafter } \\ \text { Economic life of asset } & 5 \text { years } \\ \text { Interest rate charged by the lessor } & 8 \% \end{array}$$

Prepare appropriate entries for Natick Industries from the beginning of the lease through March 31, 2021. Appropriate adjusting entries are made quarterly.

Is it possible for an aqueous solution to have a boiling point below $100.0^{\circ} \mathrm{C}$ under standard conditions? Explain.