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mr Goodwill [35]
4 years ago
10

Mario earns $9.40 per hour at his part-time job. Last month, he worked 7 1/4 hours the first week. 8 3/4 hours the second week,

5 1/2 hours the third week and 6 3/4 hours the fourth week. Mario puts half of his paycheck in the bank every other week starting with the first. How much money did Mario earn each week? How much did he put in the bank last month? How much money did Mario have to spend from his 4 paychecks.?
Mathematics
1 answer:
Tatiana [17]4 years ago
7 0
1. Just simply multiple the number of hours to the wage rate.

1st week: $9.4/h *(7 h + 1/4 h) = $68.15
2nd week: $9.4/h *(8 h + 3/4 h) = $82.25
3rd week: $9.4/h *(5 h + 1/2 h) = $51.7
4th week: $9.4/h *(6 h + 3/4 h) = $63.45

2. There are four week in the month. Since he puts half of his earning every week, we take into account the 2nd and 4th week earnings.

Money in the bank = $82.25/2 + $63.45/2 = $72.85

3. The rest of the money is assumed to be spent. Take the sum of all the earnings:

Total Earnings = 68.15+82.25+51.7+63.45 = $265.55
Thus, the earnings spent is
Earnings Spent = Total Earnings - Money in the bank
Earnings Spent = $265.55 - $72.85 = $192.7
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3 0
3 years ago
A boat is traveling due North at 27mph. A current is flowing at a bearing of 60° west of south at 8mph. Find the actual speed an
gtnhenbr [62]

Answer: 24.02\ mph

Step-by-step explanation:

Given

Boat is traveling due to north at v_{bf}=27\ mph

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Suppose the actual velocity of boat is \vec{v_b}

In vector notation we can write

\Rightarrow \vec{v_{bf}}=\vec{v_b}-\vec{v_f}\\\\\Rightarrow \vec{v_b}=\vec{v_{bf}}+\vec{v_f}

Flow of current can be written as

\Rightarrow \vec{v_f}=-8\sin 60^{\circ}\hat{i}-8\cos 60^{\circ}\hat{j}

Insert the values of vectors

\Rightarrow \vec{v_b}=27\hat{j}-8\sin 60^{\circ}\hat{i}-8\cos 60^{\circ}\hat{j}\\\\\Rightarrow \vec{v_b}=-4\sqrt{3}\hat{i}+27\hat{j}-4\hat{j}\\\\\Rightarrow \vec{v_b}=-4\sqrt{3}\hat{i}+23\hat{j}

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3 years ago
I need help right away with the next problem.
Anna71 [15]

Answer:

  see below

Step-by-step explanation:

To convert the numbers to percentages, divide each number by the table total (80) and multiply by 100%. That is equivalent to multiplying each number by 1.25%. For example, 18·1.25% = 22.5% (middle table number).

5 0
3 years ago
O
jekas [21]

Answer:

b= -8

Step-by-step explanation:

we have: 3y +12 = 6x <=> y + 4 = 2x <=> y= 2x - 4

=> 2y=4x + b

<=> 2(2x-4) = 4x +b

<=> 4x - 8= 4x +b

<=> b = -8

6 0
3 years ago
Read 2 more answers
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