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BigorU [14]
3 years ago
13

Bob just turned 66 years old and is considering retirement. His average annual salary over the last 35 years is $50,760. Assumin

g that he will recieve 42% of his average annual salary, what will be his annual Social Secrity benefit?
Mathematics
1 answer:
Andre45 [30]3 years ago
7 0
Use the formula of the present value of annuity ordinary which is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value 50760
PMT annual Social Secrity benefit ?
R average annual salary0.42
N time 35 years
We need to solve for pmt
PMT=Pv÷[(1-(1+r)^(-n))÷r]
PMT=50,760÷((1−(1+0.42)^(−35))÷(0.42)) =21,319.20
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3. Identify the transformation(s) that has taken place in the pictures below. Be as specific as possible!
GuDViN [60]

Answer:

A. Reflection

B. Rotation and Translation

C. Translation

Step-by-step explanation:

We are given the figures transformed to different figures.

According to the options,

A. We see that,

Triangle ABC is reflected about the line y=x to obtain the triangle A'B'C'.

B. In the second figure, we get,

Triangle RST is rotated clock-wise around the point T and then translated 2 units to the right to obtain R'S'T'.

C. We have,

Triangle EFD is translated 3 units downwards followed by translation of 2 units to the right to get E'F'D'.

5 0
3 years ago
Kofi estimated that he would run a total of 10 km in 1 h. In 1 h, he actually ran 46 times around a track 0.25 km long, going a
strojnjashka [21]
The equation to find percent error is

\frac{actual-theoretical}{theoretical}*100

where actual is the value that actually came out (in this case, 11.5 km) and theoretical is the value that was supposed to come out (in this case, 10 km).  Just plug in the numbers and simplify.

\frac{actual-theoretical}{theoretical}*100\\\\\frac{11.5-10}{10}*100=\frac{1.5}{10}*100=15\%\ error

So, the true answer would be 15%.  Apparently, the question you're asking takes 11.5 as the theoretical and the 10 as the actual (which I personally disagree with)

If you plugged in the numbers that way, the answer comes out to 13.04%.  So, the correct answer for your answer choices is c. 13%
3 0
3 years ago
Recall that the perimeter of a square is 4 times as large as the length of one of the sides of the square. Let x represent the l
Tcecarenko [31]
  • The required function formula for the function "f" is f(x) = 4x
  • Since the side length of the square cannot be positive, hence the domain will be values from 0 and above i.e. Domain = 0≤x≤∞
  • The range of the function will be 4≤f(x)≤∞

The perimeter of a square is expressed according to the formula:

P = 4L

P is the perimeter of the square

L is the side length of the square

Given the following

Perimeter is y

Length is x

The function that represents the statement is expressed as y=4x

The required function formula for the function "f" is f(x) = 4x

The domain of the function is the value of the input value for which the function exists

  • Since the side length of the square cannot be positive, hence the domain will be values from 0 and above i.e. Domain = 0≤x≤∞

The range of the function is the value of the output value f(x) for which the function exists, hence;

  • The range of the function will be 4≤f(x)≤∞

Learn more here: brainly.com/question/20838649

3 0
3 years ago
What is the diameter of the circle rounded to the nearest whole number when the circumference is approximately 76 cm.
grandymaker [24]

Answer: nigwa idek good luck

Step-by-step explanation:

5 0
2 years ago
7. Find the range of the function f(x) = 4x – 1 for the domain {-1, 0.1.2.3). (I point)
Alex_Xolod [135]

Answer: {{ -5 , -1 , 3 , 7 , 11 } }

Step-by-step explanation:

Given :

f(x) = 4x - 1

domain = { -1 , 0 , 1 , 2 , 3 }

To find the range , we will substitute the domain as the value of x into the function given , that is

when x = - 1

f(x) = 4 (-1) - 1

f(x) = -5

when x = 0

f(x) = -1

when x = 1

f(x) = 4(1) - 1

f(x) = 3

When x = 2

f(x) = 7

when x = 3

f(x) = 11

Therefore: the range = { -5 , -1 , 3 , 7 , 11 }

3 0
3 years ago
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