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Naily [24]
3 years ago
15

A line is written in standard form Ax + By = 0, where A and B are not

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0

Answer:

A point that must lie on this line is the origin (0,0)

Step-by-step explanation:

we know that

The equation of the line in standard form is equal to

Ax+By=C

where

A is a positive integer

B and C are integer

In this problem

C=0

so

Ax+By=0

That means, that the line represent a proportional relationship between the variables x and y

Remember that in a proportional relationship the line passes through the origin

therefore

A point that must lie on this line is the origin (0,0)

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An actor invested some money at 5% simple interest, and $41,000 more than 4 times the amount at 9%. The total annual interest ea
NARA [144]

Answer:

  • The amount invested at 5%=$77,000
  • The amount invested at 9%=$349,000

Step-by-step explanation:

  • Let the amount invested at 5% simple interest =$x

He invested $41,000 more than 4 times the amount at 9%.

  • This amount is: $(4x+41000)

Total Annual Interest Earned = $35,260

Therefore, Time=1 year

Simple Interest=\frac{Principal X Rate X Time}{100}

Therefore, his total interest

=Interest from Investment 1 + Interest from Investment 2

35260=\left(\frac{x*5*1}{100} \right)+\left(\frac{4x+41000*9*1}{100} \right)\\35260=0.05x+(0.36x+3690)\\35260-3690=0.05x+0.36x\\31570=0.41x\\\text{Divide both sides by 0.41}\\x=\$77000

Therefore:

The amount invested at 5%=$77,000

The amount invested at 9%=$(4*77,000+41000)=$349,000

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Step-by-step explanation:

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2 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
KengaRu [80]

Answer:

Using the ratio and proportion method, we find that on an average 1.875 rooms can be painted per gallon.

Step-by-step explanation:

Concept: Use the method of ratio and proportion. Given that for 2/5 gallons of paint, we can paint 3/4 of rooms. So, for one gallon of paint, divide 2/5 by 3/4.

2/5 gallons of paint = 3/4 rooms

1 gallon of paint = \frac{\frac{3}{4} }{\frac{2}{5} } = \frac{15}{8} =1.875 rooms

So, on an average they can paint 1.875 rooms per gallon.

For more explanation, refer the following link

brainly.com/question/11243787

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