The following information relates to the Sweet Corporation’s (“the Company”) potentially dilutive securities that exist as of the end of 2025. If relevant, assume the Company is subject to a tax rate of 20%. On January 1, 2025, the Company issued $600,000 of 9%, 15-year convertible bonds at 103. The bonds have a par value of $1,000, with interest payable annually on January 1. Each bond is convertible into 19 shares of the Company’s $10 par common stock. The fair value of the equity component on the date of issuance is $25 for each bond. The Company uses the straight-line method to amortize any discount or premium. On January 1, 2025, the Company granted 9,000 options to key executives. Each option can be exercised to purchase one share of the Company’s $10 par common stock at $35 each. None of the options have been exercised as of the end of 2025. The average market price of the Company’s stock during 2025 was $27.

Let be the set of automobile in the world. Determine whether the two binary relations on defined below are reflexive, irreflexive, symmetric, antisymmetric and transitive? Support your answer, for each property, with a general proof or a counterexample.

Let be the set of all students in FIU. Determine whether the two following binary relations on defined below are reflexive, irreflexive, symmetric, antisymmetric and transitive? Support your answer, for each property, with a general proof or a counterexample.

The projectile was launched in the air with 4m/s of initial vertical velocity and 7m/s of initial horizontal velocity. The horizontal velocity of the projectile at the apex will be ______.

A water heater rated at 5 KVA, 240V, 1-phase will have a calculated current rating of 20.83A

A water heater rated at 5 KVA, 240V, can have a branch circuit calculated current rating of 26.04

A water heater rated at 5 KVA, 240V, 1-phase will have a protection device rated 150% result in a calculated rating 31.25A

Increasing the projection angle in the range of 0 to 45 degrees will increase all of the following, EXCEPT:

A water heater rated at 5 KVA, 240V, 1-phase can use a breaker rated with a minimum rating of 25A

Which of the following describes the effects of gravity on the projectile motion in the horizontal direction?