Which combination of transformations can you use to show that one shape is congruent to another? A. dilations and reflections B.
1 answer:
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ANSWER
EXPLANATION
If the two events are disjoint, then they are mutually exclusive.
This means that their intersection is zero.
Therefore
This implies that,
The probability that the two events will occur together is 0, which means an impossibility.
EXPLANATION
If the two events are disjoint, then they are mutually exclusive.
This means that their intersection is zero.
Therefore
This implies that,
The probability that the two events will occur together is 0, which means an impossibility.
12 - 3y > 2y - 6
12 + 6 > 2y + 3y
18 > 5y
y ∈ (-oo, )
Given that,
Last year record = 12
This year record = 15.
To find,
The percent increase of his Collection.
Solution,
The percent increase in his collection is given by :
So, the percent increase of his collection is 25%.
Answer: (a) Job A , by approximately $69, 482
(b) Job A , by approximately $6,867
(c) Job B , by approximately $ 767,362
(d) Job A
Step-by-step explanation:
JOB B
The starting Salary is $ 10,000
Since there is an increment of 25% at the beginning of each new year. The breakdown of the increment is as follow:
First year : 125% of $ 10,000 = $12,500
Second year : 125% of $ 12,500 = $15,625
Third year : 125% of $15,625= $19,531.25
Fourth year: 125% of $19,531.25 = $24,414.06
Fifth year : 125% of $24,414.06 = $30,517.58
Sixth year: 125% of $30,517.58 = $38,147.00
Seventh year: 125% of $38,147.00 = $47,683.75
Eight year: 125% of $47,683.75 = $59,604.69
Ninth year: 125% of $59,604.69 = $74,505.86
Tenth year: 125% of $74,505.86 = $93,132.32
Following the same procedure:
Eleventh year = $116,415.40
Twelfth year = $145,519.25
Thirteenth year = $181,899.06
Fourteenth year = $227,373.82
Fifteenth year = $ 284,217.29
Sixteenth year = $355,271.61
Seventeenth year = $444,089.51
Eighteenth year = $555,111.89
Nineteenth year = $693,889.86
Twentieth year = $867,362.32
(a) Following the analysis above, at the beginning of the fifth year Job A will have a greater annual salary
Difference: Salary of Job A at the beginning of fifth year remains $ 100,000 while that of Job B resulted into $ 30,517.58, the difference implies
$100,000 - $ 30,517.58 = $69,482
(b) At the beginning of tenth year, Job A is still $100,000, Job B resulted into $93,132.32. Job A is still greater by approximately $6,867
(c) At the beginning of the twentieth year, the annual salary of A is still $ 100,000 while the annual salary of B is $ 867,362.32. Job B annual salary is greater by approximately $ 767,362
(d) If I were in Jane’s shoe I will take Job A and work for few years to gain more experience the look for a job that pays better. Waiting for many years in case of Job B is risky , market situation is uncertainty.