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Anestetic [448]
2 years ago
10

Christina will be retiring next month from her job after 35 years as a school bus driver. Over the last 35 years, Christina’s an

nual salary averaged $22,040. She expects to receive some money each month from Social Security and plans to take the rest of the money she needs to pay the monthly bills from savings. Each month her bills total to about $1,375. Assuming her annual Social Security benefit will be 42% of her salary average, how much will she need to take from savings each month to help pay the bills?
Mathematics
2 answers:
HACTEHA [7]2 years ago
8 0
Given: Annual salary average: $22,040 Annual Social security benefit: 42% of salary average Monthly bill: $1,375 $22,040 x 42% = $9,256.80 per annum $9,256.80 / 12 mos = $771.40 per month $1,375 – 771.40 = $603.60 Since, Christina only receives $771.40 per month from her Social Security benefit, she has to take $603.60 from her savings each month to help pay her monthly bill of $1,375. <span>
</span>
Maurinko [17]2 years ago
3 0

Answer:

At least $603.60

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1.3 puzzle time why did the fraction jump into boiling water
Slav-nsk [51]

Answer:

The fraction jumped into boiling water because it wanted to be reduced.

Step-by-step explanation:

This is a maths riddle about fractions. We often see fractions that we might feel could be reduced. So, if these kinds of fractions jumps into a boiling water, they get reduced. The riddle is rather funny though.

3 0
2 years ago
What does 5x evaluate to if x is equal to 2?
stiks02 [169]

Answer: Hi!

Since 5 is being multiplied by x, and x is equal to 2, be would multiply 5 and 2. 5 * 2 is equal to 10.

Hope this helps!

4 0
2 years ago
Read 2 more answers
Lesson 1-1: The periodic comet named Johnson has been seen at every return since its discovery in 1949, as shown in the table be
stiks02 [169]

Answer:

Step-by-step explanation:

Occurrence                 Year seen          Difference

1                                      1949                       -  

2                                     1956               1956 - 1949 = 7

3                                     1963               1963 - 1956 = 7

4                                     1970                1970 - 1963 = 7

Difference between each successive term of year seen = 7 years

Therefore, there is a common difference of 7 years between each successive term.

Function defining the year seen will be a linear function and will increase in the same pattern. (multiple of 7 years)

2017 - 1970 = 47 (It's not the multiple of 7)

2018 - 1970 = 48 (It's not the multiple of 7)

2019 - 1970 = 49 (multiple of 7)

2020 - 1970 = 50 (It's not the multiple of 7)

Therefore, comet will be seen next in 2019.

Option (C) will be the answer.

If a person is born in 2005

Then difference between 2005 and 1949 = 56 years

Number of times comet seen after 1949 = \frac{56}{7}=8 times

Total number of comet seen in the lifetime = 8 times

5 0
2 years ago
Point T, the midpoint of segment RS, can be found using the formulas x = (6 – 2) + 2 and y = (4 – 6) + 6. What are the coordinat
Fiesta28 [93]

Question:

Point T, the midpoint of segment RS, can be found using the formulas x = (1/2) (6 – 2) + 2 and y = (1/2) (4 – 6) + 6. What are the coordinates of point T?

Answer:

T(4,5)

Step-by-step explanation:

Given

x = \frac{1}{2}(6 - 2) + 2

y = \frac{1}{2}(4 - 6) + 6

Required

Determine the coordinates of T

The coordinates of T can be represented as T(x,y)

To do this, we simply solve for x and y

x = \frac{1}{2}(6 - 2) + 2

Solve 6 - 2

x = \frac{1}{2}*4 + 2

Solve 1/2 * 4

x = 2 + 2

x = 4

y = \frac{1}{2}(4 - 6) + 6

Solve 4 - 6

y = \frac{1}{2}*-2 + 6

Solve 1/2 * -2

y = -1 + 6

y = 5

Hence, the coordinates of T(x,y) is:

T(x,y) = T(4,5)

5 0
2 years ago
Read 2 more answers
Problem 5 (4+4+4=12) We roll two fair 6-sided dice. Each one of the 36 possible outcomes is assumed to be equally likely. 1) Fin
tekilochka [14]

Answer:

1

p(b) =  \frac{1}{6}

2

p(k) =  \frac{1}{3}

3

P(a) =  \frac{1}{3}

Step-by-step explanation:

Generally when two fair 6-sided dice is rolled the doubles are

(1 1) , ( 2 2) , (3 3) , (4 4) , ( 5 5 ), (6 6)

The total outcome of doubles is N = 6

The total outcome of the rolling the two fair 6-sided dice is

n = 36

Generally the probability that doubles (i.e., having an equal number on the two dice) were rolled is mathematically evaluated as

p(b) =  \frac{N}{n}

p(b) =  \frac{6}{36}

p(b) =  \frac{1}{6}

Generally when two fair 6-sided dice is rolled the outcome whose sum is 4 or less is

(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)

Looking at this outcome we see that there are two doubles present

So

The conditional probability that doubles were rolled is mathematically represented as

p(k) =  \frac{2}{6}

p(k) =  \frac{1}{3}

Generally when two fair 6-sided dice is rolled the number of outcomes that would land on different numbers is L = 30

And the number of outcomes that at least one die is a 1 is W = 10

So

The conditional probability that at least one die is a 1 is mathematically represented as

P(a) =  \frac{W}{L}

=> P(a) =  \frac{10}{30}

=> P(a) =  \frac{1}{3}

3 0
2 years ago
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