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patriot [66]
4 years ago
9

How can I show that a * b = a+b+ab/100 is commutative?

Mathematics
1 answer:
ahrayia [7]4 years ago
7 0
* is commutative if a*b = b*a.

b*a=b+a+\dfrac{ba}{100}=a+b+\dfrac{ab}{100}=a*b

so the operation must be commutative because the component operations (addition and multiplication) are commutative.
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Ben owns a townhome valued at $195,000, but still owes $120,000 on the loan. Ben has $5,000 in savings and a balance of $1,400 o
IRISSAK [1]

Answer:

c $99,400

Step-by-step explanation:

$195,00-$120,000=$75,000

$75,000+$5,000+$1,400=81,400

$81,400+$38,000-$20,000=$99,400

3 0
3 years ago
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Complete the square and wright in standard form x^2+y^2-8x-12+52=36
Sphinxa [80]
X² + y² - 8x - 12y + 52 = 36
x² - 8x + y² - 12y + 52 = 36
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(x - 4)² + (y - 6)² = 138
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3 years ago
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A bicycle wheel has a circumference of 62 inches. Find the diameter of the wheel. If necessary, round to the tenths place. A. 39
san4es73 [151]

Answer:

The answer to your question is        diameter  = 19.7 in

Step-by-step explanation:

Data

Circumference = 62 in

diameter = ?

Process

1.- Write the formula of Circumference, remember that circumference = perimeter.

    Perimeter = 2πr

2.- Equal the equation to the value given

                        2πr = 62

-Solve it for r

                            r = 62/2(3.14)

-Result

                           r = 62/6.28

                           r = 9.87 in

3.- Find the diameter

             diameter = 2r

             diameter = 2(9.87)

             diameter  = 19.7 in

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Answer:

C.

Step-by-step explanation:

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College alcohol and drug use: In a Washington Post/Kaiser Family Foundation poll conducted from January through March 2015, 56%
jolli1 [7]

Answer:

d. We are 95% confident that the proportion of adults (ages 17-26) who attended college is between 53% and 59%.

Step-by-step explanation:

Confidence interval of a proportion p.

We build a confidence interval at the x% level from a sample.

With this, we can say that we are x% sure that the true population propotion is in the interval.

The 95% confidence interval is (0.53, 0.59).

This means that we are 95% sure that the true population proportion is between 0.53 and 0.59.

So the correct answer is:

d. We are 95% confident that the proportion of adults (ages 17-26) who attended college is between 53% and 59%.

7 0
3 years ago
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