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3 years ago

What type of mathematical law is this (6+4)+100=6+(4+100)

Mathematics

2 answers:

dusya [7]3 years ago

8 0

Search the property of addition

Greeley [361]3 years ago

6 0

Answer:

Associative Property of Addition

Step-by-step explanation:

According to the Associative Property of Addition: when three real numbers are added, it makes no difference which two are added first.

a + (b + c) = (a + b) + c

Therefore, in the given equality statement: (6 + 4) + 100 = 6 + (4 + 100), the sum of the numbers on either side of the equation will have the same results.

(6 + 4) + 100 = 6 + (4 + 100)

(10) + 100 = 6 + (104)

110 = 110

Please mark my answers as the Brainliest, if you find this explanation helpful :)

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A business has two loans totaling $50,000. One loan has a rate of 8% and the other has a rate of 12%. This year, the business ex

Debora [2.8K]

Answer:

the 8% loan has a principal of $37500

the 12% loan has a principal of $12500

Step-by-step explanation:

Let's start by writing the general equation for the interest hwre I is the interest, P is the principal (in our case would be loan amounts), "r" is the interest rate in decimal form (in our case one would be 0.12, and the other one 0.08), and t is the time in years (in our case 1 year).

$I=P*r*t$

Then we write the interest equation coming from each loan at the end of this year (we call I1 the interest coming from the 12% loan and I2 the interest coming from the 8% one). Since we don't know the loan amounts (in fact those are what we need to find) we will name one "x" and the other "y":

$I=P*r*t\\I1=x * 0.12*1\\I2=y*0.08*1$

Next, we add these last two equations term by term, and replace the addition of both interests by $4500 as given in the information:

$I1=x * 0.12*1\\I2=y*0.08*1\\I1+I2 = 0.12x+0.08y\\4500=0.12x+0.08y$

This is our first equation in the variables x and y which are our unknowns.

Now we generate the second equation on x and y by writing in agebraic terms the other piece of information we have: "the total of the two loans is $50000. That is the addition of the principals x and y should equal $50000:

$x+y=50000$

We solve for y in this last equation and replace its form in terms of x in the equation of the interest, and solve for the unknown x:

$y=50000-x\\4500 = 0.12x +0.08 y\\4500=0.12x+0.08(50000-x)\\4500=0.12x+4000-0.08x\\4500=0.12x-0.08x+4000\\4500=0.04x+4000\\4500-4000=0.04x\\500=0.04x\\x=\frac{500}{0.04} =12500$

Therefore the amount of the loan at 12% is $12500

Now to find the amount of the second loan "y" we use the equation for the totals of the loans:

$x+y=50000\\12500+y=50000\\y=50000-12500=37500$

Therefore, the loan at 8% is $37500

5 0

3 years ago

What is 52/6 in simplest form

zimovet [89]

52/6 in simplest form is 8 2/3 I got the answer 8 2/3 because 6 can go into 52 8 times and there is a remainder the remainder that I got was 4 . I'll put the remainder over the denominator which is 6. So right now I would have 8 4/6 but this fraction can be simplied again by 2 so the final answer is 8 2/3

3 0

3 years ago

Read 2 more answers

Please help. I need a 100

Ivenika [448]

I think that is B, C, or. C

6 0

4 years ago

During a winter storm, the temperature on the top of a

Iteru [2.4K]

According to the rate of change, it is found that the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.

<h3>What is the average rate of change?</h3>

The average rate of change of a function is given by the <u>change in the output divided by the change in the input.</u>

In this problem, it is stated that at the top of the mountain, the average rate of change is of -2.5 ºC per hour, and at the bottom of the mountain the rate is the same, hence the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.

You can learn more about average rate of change at brainly.com/question/26420851

5 0

2 years ago

The product of 3 and a number is at<br> most 21.

stiv31 [10]

Answer:

n = 7

Step-by-step explanation:

3n = 21

n = 7

7 0

3 years ago

Read 2 more answers

What type of mathematical law is this (6+4)+100=6+(4+100)​

What type of mathematical law is this (6+4)+100=6+(4+100)