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Sedaia [141]
4 years ago
15

Do the following exercise.

Mathematics
2 answers:
OLga [1]4 years ago
8 0

Answers:

1. A person with 1 exemption making between $580 and $600 would have $<u>21.97</u> withheld.

2. A person with 3 exemptions making between $340 and $360 would have $<u>4.51</u> withheld.

3. A person with 4 exemptions making $610 would have $<u>16.31</u> withheld.

4. A person with 2 exemptions making between $440 and $460 would have $<u>12.16</u> withheld.

5. Tim Worker had $7.84 withheld. What was his wage range? <u>$360-$380</u>

Please, see the attached files.

Thanks.

Semmy [17]4 years ago
4 0
Finding the answers is a matter of identifying the particular entries in the table. For your questions 1-5, they are shown with numbers 1-5.
   1. $21.97
   2. $4.51
   3. $16.31
   4. $12.16
   5. $360 to $380 

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£980 is divided between Caroline, Sarah &amp; Gavyn so that Caroline gets twice as much as Sarah, and Sarah gets three times as
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Sarah has received £ 294

<u><em>Solution:</em></u>

Given that £980 is divided between Caroline, Sarah & Gavyn

Let "c" be the amount received by caroline

Let "s" be the amount received by sarah

Let "g" be the amount received by gavyn

<em><u>Caroline gets twice as much as Sarah</u></em>

amount received by caroline = twice as much as Sarah

amount received by caroline = 2(amount received by sarah)

c = 2s ---- eqn 1

<em><u>Sarah gets three times as much as Gavyn</u></em>

amount received by sarah = three times as much as Gavyn

amount received by sarah = 3(amount received by gavyn)

s = 3g ------- eqn 2

Given that total amount is 980

c + s + g = 980 --- eqn 3

<em><u>Let us solve eqn 1, 2, 3 to get values of "c" "s" "g"</u></em>

From eqn 2,

g = \frac{s}{3}  --- eqn 4

Substitute eqn 1 and eqn 4 in eqn 3

2s + s + \frac{s}{3} = 980\\\\\frac{6s + 3s + s}{3} = 980\\\\6s + 3s + s = 980 \times 3\\\\10s = 2940\\\\s = 294

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