The average annual salary of the employees of a company in the year 2005 was ninety thousand dollars. It increased by the same factor each year and in 2006, the average annual salary was $91,200. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)?f(x) = 91.2(1.013)x
f(x) = 90(1.013)x
f(x) = 91.2(2.2)x
f(x) = 90(2.2)x

Answers

Answer 1

Answer: Given:
year 0 - 2005 : 90,000
year 1 - 2006 : 91,200

91,200 - 90,000 = 1,200
1,200 / 90,000 = 0.013

90,000 (1+0.013)^1 ⇒ 90,000 (1.013)^1 = 91,170 OR 91,200

The best representation of the relationship between x and f(x) is choice 2.
f(x) = 90(1.013)x

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Solve the equation 4x-6= 34. Write a reason for each numbered step.

Answers

Answer:

x=10

Step-by-step explanation:

4x-6=34

+6 +6

4x=40

/4 /4

x=10

(4*10=40)-6=34

Answer:

x = 10

Step-by-step explanation:

4x - 6 = 34

group like terms

4x = 34 + 6

4x = 40

divide both sides by 4

4x/4 = 40/4

x = 10

Why does it take 30 years to pay off $150,000 loan, even though you pay $1000 a month?

Answers

This would be due to interest. As the month ends, you pay $1000, but your debt has increased as interest has been added onto your loan, making you go from owing $150000 to owing $150000+x, x being the interest gained at the end of the month.

Even though the principal would be paid off in just over 10 years, it costs the bank a lot of money to fund the loan. the rest of the loan is paid out in interest.

Given

It takes 30 years to pay off a $150,000 loan, even though you pay $1000 a month.

How to calculate the interest on the loan amount?

The loan amount is on monthly basis thus, they charge interest on a monthly basis, and thus as we repay a certain value of the loan and on the remaining value interest is charged which results in the higher values.

The amount of interest charged results in the higher cost of the loan amount and so it took more time to repay the loan than the actual time of the repay of the principal amount.

The amount you have to pay the bank is;

= $150000 + Interest

Hence, Even though the principal would be paid off in just over 10 years, it costs the bank a lot of money to fund the loan. the rest of the loan is paid out in interest.

To know more about Interest click the link given below.

brainly.com/question/16376378

Find the equation of the line that is parallel to y = -7x + 2 and contains the point (-5,32)

Answers

Answer:

Y=-7x-3

Step-by-step explanation:

Answer:

y = - 7x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 7x + 2 ← is in slope- intercept form

with slope m = - 7

Parallel lines have equal slopes, thus

y = - 7x + c ← is the partial equation

To find c substitute (- 5, 32) into the partial equation

32 = 35 + c ⇒ c = 32 - 35 = - 3

y = - 7x - 3 ← equation of parallel line

If x = 9 and y = 4, work out the value of xy/ 2

Answers

answer: 3/1

Step-by-step explanation:

This is like a puzzle, and each part tells you something. The first statement tells us that x is a negative number and y is a positive number. The next statement, x + y , is what we need to know. The first absolute value gives us x. Solve for the absolute value, that is, what is inside can be either negative or positive so either x-9 = 12 or x - 9 = -12. Solve those for x = 21 or x = -3. We know that x is negative from that first statement, , so x is -3. Do the same with the other absolute value to solve for y, then add the two together to get your final answer. hope this helps a bit!

Please help me!!!

-x + (−3) = x + 3

Answers

Step-by-step explanation:

-x - 3 = x + 3

Solving like terms

-3 - 3 = x + x

-6 = 2x

-6 / 2 = x

-3 = x

Answer:

-3

Step-by-step explanation:

You are trying to solve for x in this situation. So the first thing you want to do is choose a side (it doesn't matter in this situation bc there is an x on either side of the =) and isolate the x.

**I'm going to choose the left side cause why not** Add the -3 to both sides to get -x by itself:

-x + (−3) = x + 3

-x -3= x+3

* quick side note, when you add a negative number to a positive, it has the same effect as subtracting

-x=x+6

Now -x is by itself but there is still another x, so combine like terms again:

-2x=6

Now simplify by dividing -2 to both sides:

x=-3

A school has a goal of getting at least 2000 boxtops. They have 872 so far. They have 8 days left to get it. At least how many do they need to collect each day to meet or exceed their goal?