Answer:

where
is the number of weeks
Step-by-step explanation:
Initial money available with Tom = $105
Allowance given to Tom every week = $25
To find:
Equation for money available with Tom given a number of weeks.
Money available with Tom after first week = $105+ $25 = $130
Money available with Tom after second week = $130+ $25 = $155 OR 105+ 2
25
Money available with Tom after third week = $155 + $25 = $180 OR 105+ 3
25
and so on.
Money available with Tom after
weeks = $105 + $25 
Therefore, the equation is:

The diver is 25.6 feet under sea level so they need to come back up 25.6 feet to reach sea level again. The answer is 25.6 feet.
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Situation : Earnings of 15 dollars is represented as integer as
.
<u>Step-by-step explanation:</u>
Here we have , to Write an integer to represent the following situation: Earnings of 15 dollars . Let's find out:
Integer : An integer in math is composes of both positive and negative whole number as : -3,-2,-1,0,1,2,3 etc ..........
According to statement , we need to write an integer to represent the statement : EARNINGS OF 15 DOLLARS . There is word earnings in statement that means increment or increase , and other words are 15 dollars or $15 . So , above statement means increase of 15 dollars which can be represented as an integer as given below :
⇒ 
Where + sign means increase or , with reference to statement it refers to word earnings . Therefore , Situation : Earnings of 15 dollars is represented as integer as
.
Answer:
x = i π n + log(20)/2 for n element Z
Step-by-step explanation:
Solve for x:
500 = 25 e^(2 x)
500 = 25 e^(2 x) is equivalent to 25 e^(2 x) = 500:
25 e^(2 x) = 500
Divide both sides by 25:
e^(2 x) = 20
Take the natural logarithm of both sides:
2 x = 2 i π n + log(20) for n element Z
Divide both sides by 2:
Answer: x = i π n + log(20)/2 for n element Z