The water contains no larvae at temperatures of -10 degrees Celsius and 20 degrees Celsius.
Question:
Let p: x = 4 Let q: y = −2 Which represents "If x = 4, then y = −2”? p ∨ q p ∧ q p → q p ↔ q
Answer:
The correct option is c: p → q
Explanation:
Option a: p ∨ q
p ∨ q indicates that either p is true, or q is true, or both hold true.
Therefore, Option a is not the right answer.
Option b: p ∧ q
p ∧ q signifies that both p and q are true.
Thus, Option b is not the correct choice.
Option c: p → q
p → q means if p is indeed true, then q must also be true.
So, Option c is the right choice.
Option d: p ↔ q
p ↔ q implies that if p holds true, then q is true, and vice versa.
Thus, Option d is not the correct option
.
Therefore, p → q is the accurate option.
First, we determine the percentage increase for the tax.
Initial amount = 25×9 = 225 ⇒ The 9 signifies 9 lots of thousands representing the house's value.
New amount = 28×9 = 252
Tax increase = 252 - 225 = 27
Percentage increase = (27÷225) ×100 = 12%
Therefore, the yearly rent should rise by 12%
Monthly rent is $60
Yearly rent = 60×12 = $720
With a 12% increase = 720×1.12 = 806.4 ⇒ Here, 1.12 is the multiplier derived from 100%+12%=112%=1.12
Monthly rent becomes 806.4÷12 = $67.20, resulting in an additional $7.20 each month.
Answer:
Given that the frog jumps every 10 seconds
(using digits from a random number table)
- It requires 7 jumps with 2 in the reverse direction (either left or right) for the frog to get off the board in 60 seconds.
- Alternatively, 3 jumps in the same direction will also lead to the frog being off the board.
- Furthermore, it would take 5 jumps with one in the opposite direction within the time limit of 60 seconds to leave the board.
Step-by-step explanation:
A frog positioned right at the center of a 5ft long board is 2.5 ft away from either edge.
Every 10 seconds, the frog jumps left or right.
If the frog's jumps are LLRLRL, it will remain on the board at the leftmost square.
If it jumps as LLRLL, it will jump off the board after fifty seconds.
Given that the frog jumps every 10 seconds
(using digits from a random number table)
- It requires 7 jumps with 2 in reverse direction (either left or right) for the frog to get off the board in 60 seconds.
- Alternatively, 3 jumps in the same direction will also lead to the frog being off the board.
- Furthermore, it would take 5 jumps with one in the opposite direction within the time limit of 60 seconds to leave the board.
To find the solution, we will utilize the compound interest formula:

where

represents the total amount after

years
tex]P[/tex] indicates the original investment

signifies the interest rate expressed in decimal

shows the frequency of compounding per year

indicates the duration in years
According to our problem, the initial investment is <span>$30,000 with a duration of ten years, thus </span>

and

. Interest is compounded annually, so

. To convert the percentage interest rate into decimal, we divide it by 100%


Now, we can insert these values into our formula:



Substituting

with

:
Consequently, we find that the correct answer is D. 
Finally, to determine <span>the total amount Yolanda will have after ten years, we just need to carry out the operations in our equation:
</span>


Thus, we conclude that Yolanda will end up with $64,170.54 in her account after a decade of earning <span>
at a compound interest rate of 7.9% yearly.</span>