An employees initial annual salary is $50,000 per year and the company gives $1,000 raises each year. The annual salary needed to live in the city was $45,000 when he started his job but is increasing 5% each year.Create an equation that models the annual salary in a given year.
Create an equation that models the annual salary needed to live in the city in a given year.

Answers

Answer 1
Answer:

Answer:

S = 50000 + 1000Y

S= 45000[1+(5)/(100) ]^(Y)

Step-by-step explanation:

The initial annual salary of an employee is $50000 per year and the company gives $1000 raises each year.

So, the equation that models the annual salary is given by  

S = 50000 + 1000Y

Where S is the yearly salary and Y is the number of years.

Again, the annual salary needed to live in the city is $45000 when one starts his job and is increasing 5% each year.

So, the equation that models the annual salary is given by

S= 45000[1+(5)/(100) ]^(Y)

Where S is the annual salary and Y is the number of years.

(Answer)  


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PLEASE HELP WITH MATH. BEST GETS BRAINLIEST.Celina is buying fabric scraps to make koozies for her glasses. Each glass is cylindrical with a diameter of 3 inches and a height of 4 inches. The koozies will cover only the sides of the glasses. What is the amount of fabric she will use? What does this amount represent? Use 3.14 for pi. Show your work.

Answers

What you're looking for here is the surface area of the sides of the glasses (what the koozies will cover). This is also what the amount represents.

The surface area of the sides is equal to the perimeter of the base times the height of the cylinder. It makes sense logically because the sides are basically the perimeter of the base, raised all the way up along the cylinder.

SA = perimeter x height
SA = pi x diameter x height
SA = 3.14 x 3in x 4in
SA = 37.68 in^2

She will use 37.68 square inches of fabric.

Simplify using Order of Operations:
10 - 3 x 2/1+1

Answers

The simplified form of 10 - 3 x 2/1+1 is 5. This is obtained by applying the order of operations in mathematics, which first executes multiplication and division from left to right then does addition and subtraction from left to right.

To simplify the expression 10 - 3 x 2/1 + 1 using the Order of Operations (PEMDAS/BODMAS), we follow these steps:

1. Parentheses/Brackets (None): There are no parentheses in the expression.

2. Exponents/Orders (None): There are no exponents.

3. Multiplication and Division (Left to Right): Multiply 3 by 2, which equals 6.

4. Addition and Subtraction (Left to Right): Now, perform the remaining operations from left to right: 10 - 6 + 1.

Now, solve the expression step by step:

1. 10 - 6 = 4

2. 4 + 1 = 5

So, the final answer is 5.

The given expression, 10 - 3 x 2/1 + 1, is simplified using the Order of Operations (PEMDAS/BODMAS). First, we perform multiplication and division from left to right. We multiply 3 by 2, resulting in 6. Then, we move on to addition and subtraction. Subtracting 6 from 10 gives us 4. Finally, we add 1 to 4, resulting in the final answer, which is 5.

The Order of Operations is crucial in mathematics to ensure that expressions are evaluated consistently and correctly. It helps us avoid ambiguity and ensures that mathematical operations are carried out in the correct sequence. In this case, following the order of operations leads us to the correct simplified answer of 5.

Learn more about Order of Operations here:

brainly.com/question/30553381

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Answer: the answer is 5

Step-by-step explanation:

first you would multiply 3 x 2 = 6. then you would divide 6 by 1 and get 6. You then take 10-6+1 and it equals 5.

How does the expression |9 -(-5)| relate the number -5 and 9 on the number line

Answers

The expression /9-(-5)/ means absolute value. 
The expression -5 and 9 just show that 5 is negative and 9 is positive 
HOPE I HELPED!!!!=D

Herta wants to build a picket fence in her front yard. Her design has fence posts that are 8.5 feet apart, with 19 pickets between each set of posts. If the pickets are 3 inches wide, how wide should the gaps be so that everything is evenly spaced?

Answers

8.5 Feet  = 102 inches

Pickets = 19 x 3  = 57 inches

Remaining = 102 inches - 57 inches = 45

If you put 19 pickets, there will be 20 gaps

So each will be 45 / 20 = 2.25 inches wide

hope this helps


Which compound inequality could this graph be the solution of?

Answers

Answer:

B. 2x + 3 ≥ 11 or 4x - 7 ≤ 1

Step-by-step explanation:

Given compound inequality,

In option A,

2x + 3 ≥ 11 and 4x - 7 ≤ 1

⇒ 2x ≥ 8 and 4x ≤ 8

⇒ x ≥ 4 and x ≤ 2

\implies [4,\infty)\cap (-\infty, 2]

=\phi

2x + 3 ≥ 11 and 4x - 7 ≤ 1 can not be the correct inequality,

In option B,

2x + 3 ≥ 11 or 4x - 7 ≤ 1

⇒ 2x ≥ 8 or 4x ≤ 8

⇒ x ≥ 4 or x ≤ 2

\implies [4,\infty)\cup (-\infty, 2]

Which is shown in the given graph,

Thus, 2x + 3 ≥ 11 or 4x - 7 ≤ 1 is the correct compound inequality,

In option C,

2x + 3 > 11 or 4x - 7 < 1

⇒ 2x > 8 or 4x < 8

⇒ x > 4 or x < 2

\implies (4,\infty)\cup (-\infty, 2)

So, which is not shown in the graph,

2x + 3 > 11 or 4x - 7 < 1 can not be the correct compound inequality,

In option D,

2x + 3 ≥ 11 or 4x - 7 ≥ 1

⇒ 2x ≥ 8 or 4x  ≥ 8

⇒ x ≥ 4 or x  ≥ 2

\implies [4,\infty)

Which is not shown in the graph,

2x + 3 ≥ 11 or 4x - 7 ≥ 1 is not the correct compound inequality.

B.. 4 is less than or equal to x, 2 is greater or equal to x


7+3(s-4t) simplify the expression

Answers

7+3(s-4t)=7+(3s)-3*4t)=7+3s-12t
Answer=7+3s-12t
7+3(s-4t)=\ \ \ \ \ \ \ \ \ |omit\ the\ bracket\n\n\boxed{7+3s-12t}