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AysviL [449]
3 years ago
12

In May Mr. Lee's earings were 60 percent of the Lee family's total income. In June Mr. Lee earned 20 percent more than in May. I

f the rest of the family's income was the same both months, then, in June, Mrs.Lee's earnings were approximately what percent of the Lee Family's total income?
Mathematics
1 answer:
murzikaleks [220]3 years ago
6 0

Answer: 64.29%

Step-by-step explanation:

Let the total earnings of the Lee family in May be x

Amount earned by Mr Lee in May = 60% of x = 0.6x

Amount earned by other family members in May = x - 0.6x (total earnings - Mr Lee's earnings) = 0.4x

Amount earned by Mr Lee in June = 20% more than what Mr Lee earned in May.

That is, amount earned by Mr Lee in June = 1.2 × 0.6x = 0.72x

Amount earned by other members of the family in June remains unchanged, that is = 0.4x

Total amount earned by the Lee family in June = 0.72x + 0.4x = 1.12x

Percentage of total earnings in June earned by Mr. Lee = (0.72x/1.12x) × 100% = 64.29%.

QED!

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Walter took out a $6,000 loan for six years. He is being charged 6 percent interest, compounded annually. Calculate the total am
cluponka [151]

Answer:

  $8511.11

Step-by-step explanation:

Each year, the amount Walter owes is multiplied by 1.06, so at the end of 6 years, Walter owes 1.06^6 times the amount he borrowed.

  he will pay $6,000×1.06^6 ≈ $8511.11

_____

At the end of the first year, Walter owes the original loan amount plus 6% interest. That total is ...

  $6000 + 0.06×6000 = $6000×1.06

At the end of the following year, he owes 1.06 times that amount, or ...

  6000×1.06²

The amount owed is multiplied by 1.06 each year until Walter pays off the loan.

8 0
3 years ago
Four mathematicians, three physicists, and an engineer are to be seated equally spaced around a circular table. How many differe
Vesna [10]

First, we can choose the seats for the four mathematicians.  Then we seat the physicits, then the engineer.  There are 4! ways to seat the mathematicians, then 3! ways to seat the physicists, then 1! ways to seat the engineer.  But then we must divide by 8, because we can rotate the table, so there are 8!*4!*3!/8 = 725760 ways to seat everyone.

3 0
3 years ago
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Lunna [17]

Answer:

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Step-by-step explanation:

I think its correct but already know the answer sooo yea

7 0
3 years ago
A barrel of oil was filled at a constant rate of 7.9 gal/min. The barrel had 12 gallons before filling began.
jenyasd209 [6]

The equation that models this situation is z = 7.9y + 12.

A linear equation is a function that has a single variable raised to the power of 1.  An example is x = 4y + 2.

Where:

  • 2 is the constant
  • x = dependent variable
  • y = independent variable  

From the equation given, 12 would be the constant, the independent variable would be 7.9 and z would be the dependent variable.

z = 7.9y + 12

Here is the complete question: A barrel of oil was filled at a constant rate of 7.9 gal/min. The barrel had 12 gallons before filling began. write an equation in standard form to model the linear situation.

A similar question was answered here: brainly.com/question/2238405

4 0
2 years ago
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