The first term of an arithmetic sequence is -30 and the common difference is 8. Find the 20th term.
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Answer:
$13564
Step-by-step explanation:
Mary’s taxable income= $68,562
From the table, If taxable income is over $31,850 but not over $77,100
The tax = $4386.25 + 25% of the amount over 31,850
Amount over $31,850=$68,562-$31,850
=$36,712
Therefore:
Mary's tax = $4386.25 + (25% of $36,712)
=$4386.25 +9,178
=$13564.25
=$13564 (to the nearest dollar)
To find the median of the data set, we must first order them from lowest to highest in increasing order. Let's rearrange them in that way:
{17, 23, 30, 40, 44, 44}
Then we begin by crossing one off from each side, until we get to the middle. However, we see that our middle here is both 30 and 40.
What we do in a case like this is add up the two numbers and divide by 2 (essentially find the mean of the two middlemost numbers). Let's do that now:
So now we know that the median of the set of data is 35.
{17, 23, 30, 40, 44, 44}
Then we begin by crossing one off from each side, until we get to the middle. However, we see that our middle here is both 30 and 40.
What we do in a case like this is add up the two numbers and divide by 2 (essentially find the mean of the two middlemost numbers). Let's do that now:
So now we know that the median of the set of data is 35.