Bob just turned 66 years old and is considering retirement. His average annual salary over the last 35 years is $50,760. Assuming that he will receive 42% of his average salary, what will be his annual Social Security benefit?

Answers

Answer 1
Answer:

The required social security benefit he will receive will be $21319.20.

Given that,
Bob just turned 66 years old and is considering retirement. His average annual salary over the last 35 years is $50,760. Assuming that he will receive 42% of his average salary, what will be his annual Social Security benefit is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
According to the question,
annual Social Security benefit  = 42% of $50,760
                                                   = 0.42 * 50,760
                                                   = 2139.20

Thus, the required social security benefit he will receive will be $21319.20.

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Answer 2
Answer: The annual Social Security benefit is 42% of $50,760. 42% of $50,760 is $21,319.20. So Bob will receive $21,319.20  from his annual Social Security benefit. 

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Word problem: A High School had a musical in which students ($5 tickets) and adults ($7 tickets) attended. If a total of 47 tickets were sold and they made a total of $269. How many student tickets were sold and how many adult tickets were sold?

Answers

Answer:

30 of them were students

17 were adults

Step-by-step explanation:

bunny and rabbit problems

if they were all adults

7 x 47 = 329

329 - 269 = 60

60/ (7-5) = 30

30 of them were students

17 were adults

Can a graph be translated by using reflection transformation

Answers

Answer: No, a reflection transformation does not involve translation; it changes the orientation of a figure but does not move it.

Step-by-step explanation:

A reflection transformation, also known as a "flip" or "mirror," does not involve translation. Instead, it changes the orientation of a figure by reflecting it across a specific axis, such as the x-axis or y-axis. It creates a mirror image of the original figure.

Translation, on the other hand, is a transformation that moves a figure without changing its orientation. It involves shifting the figure horizontally and/or vertically.

If you want to both reflect and translate a graph, you would perform the reflection first and then apply the translation. These two transformations can be combined to achieve more complex transformations, but they are distinct operations.

Which statement describes the first step to solve the equation by completing the square? 2x^2+12x=32 Multiply both sides of the equation by 16 .
Add 6 to each side of the equation.
Multiply both sides of the equation by 12 .
Add 36 to each side of the equation.

Answers

Answer:

Option C is correct

Multiply both sides of the equation by (1)/(2)

Step-by-step explanation:

Given the equation:

2x^2+12x = 32

Multiply both sides by (1)/(2)  we get;

(1)/(2) \cdot (2x^2+12x) = (1)/(2) \cdot 32

Simplify:

x^2+6x = 16

Subtract 16 from both sides we have;

x^2+6x-16=0

Therefore, the first step to solve the equation by completing the square is,

Multiply both sides of the equation by (1)/(2)

Multiply both sides of the equation by 1/2

A man travels for 6 hours at a rate of 50 miles per hour. His return trip takes him 7 1/2 hours. What is his average speed for the whole trip?

Answers

Multiply 6 hours times the rate of 50 miles per hour to get the total miles he traveled there. Which it was 300 miles to get there. It must have taken 300 miles to get back also. So divide distance (300) by time (7.5) to get 40 mph was the speed coming back. Now find the average of the two speeds ( 50+40=90 divded by 2) THE ANSWER IS 45 MPH FOR THE AVERAGE SPEED! (:

Joshua went kayaking. It cost him $ 15 to rent the kayak. It also cost $ 6 for each hour spent on the lake kayaking. Joshua spent 2 $\frac{1}{2}$1
2​​ hours on the lake. How much was his total bill for the kayak rental and hours kayaking on the lake?

Answers

Step-by-step explanation:

The total bill will be the sum of the rent and the cost for the total time spent.

$15 + $6 * 2.5

$15 + $15

$30

Explain why the cubed root of -8/27 is -2/3

Answers

The cubed root of the fraction -8/27 is -2/3 and is expressed as ((-2)/(3))^3=(-8)/(27).

Given data:

The cube root of a number refers to a value that, when raised to the power of 3, equals the given number. In this case, we are looking at the cube root of -8/27.

When we simplify -8/27, we find that it is a negative fraction. This means that the numerator (8) is negative, while the denominator (27) is positive. When we take the cube root of -8/27, we are essentially finding a value that, when raised to the power of 3, gives us -8/27.

The cube root of -8/27 can be expressed as  ((-2)/(3))^3 , because when we cube -2/3 (raise it to the power of 3), we get -8/27. This is because (-2/3) * (-2/3) * (-2/3) equals -8/27.

Hence, the cube root of -8/27 is indeed -2/3, as ((-2)/(3))^3 equals -8/27. It's important to note that while the fraction itself is negative, the cube root is a negative fraction raised to the power of 3, which yields the original negative fraction.

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Answer:

Because the cubed root of the numerator and denominator equals the answer

Step-by-step explanation:

alright, we are trying to understand WHY \sqrt[3]{(-8)/(27) }  =  -(2)/(3)

You can actually rewrite the first number as -\frac{\sqrt[3]{8} }{\sqrt[3]{27} }

you must look for the number, which three times itself, equals 8...

...and the same thing for the bottom: a number, which three times itself... equals 27.

What number cubed equals 8? The answer is 2

What number cubed equals 27? The answer is 3

...so now we have -2 over 3. You can double check this answer.

-(2)/(3) * -(2)/(3)  = (4)/(9)

(4)/(9) * -(2)/(3) = -(8)/(27)

we get the original number that we were looking for the cubed root... SUCCESS.