Answer:
2/3
Step-by-step explanation:
Answer:
<u>15/2</u>
Step-by-step explanation:
- 30/4=7.5
- convert the decimal to a fraction
- 7.5 would give you 15/2 in fraction form
- since you can't simplify 15/2 anymore, <u>15/2</u> would be your answer.
<em>p</em> … <em>q</em> … ¬<em>q</em> … <em>p</em> ∨ ¬<em>q</em> … (<em>p</em> ∨ ¬<em>q</em>) ⇒ <em>q</em>
T … T … F … T … T
T … F … T … T … F
F … T … F … F … T
F … F … T … T … F
Start with the first two columns, taking every possible pair of True/False for <em>p</em> and <em>q</em>.
¬<em>q</em> is just the negation of <em>q</em>, so True becomes False and False becomes True.
<em>p</em> ∨ <em>q</em> is the logical disjunction, or logical "or". It's True if either <em>p</em> or <em>q</em> is True, and False otherwise. So <em>p</em> ∨ ¬<em>q</em> is True only if either <em>p</em> or ¬<em>q</em> is True.
<em>p</em> ⇒ <em>q</em> is the logical implication. It's True only when both <em>p</em> and <em>q</em> are True, or when <em>p</em> is False. So (<em>p</em> ∨ ¬<em>q</em>) ⇒ <em>q</em> is True when both <em>p</em> ∨ ¬<em>q</em> and <em>q</em> are True, or when <em>p</em> ∨ ¬<em>q</em> is False.
The appropriate choice is ...
D: Function 1 shows a greater rate of change, because Maddy spends $20 each month and Caitlin spends $18 each month.
_____
Each time the month number in Function 1 goes up by 1, the account balance goes down by $20. Each time the month number in Function 2 goes up by 1, the account balance goes down by $18. Once you have figured out that $20 is more than $18, you know the first two answers cannot be right. The third answer is wrong because Caitlin cannot (and does not) spend -$18 each month.