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3 years ago

Name the property. 2(xy)=(2x)y

Mathematics

1 answer:

kirill [66]3 years ago

5 0

Answer:

associative property of multiplication

Step-by-step explanation:

If we have 3 numbers x, y and z the associative property of multiplication says that:

$x (yz) = z (xy) = (xz)y$

This means that the result will be the same regardless of the order in which the multiplication takes place.

In this case we have the following equality

$2(xy) = (2x)y$

Note that the property used is the associative property of multiplication

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Corbin’s parents want to save $50,000 for his college education and already have $25,000. About how long would it take them to d

Sloan [31]

Answer:

about 9 years

Explanation:

To solve this problem we will use what is known as 'The Rule Of 72.' This particular rule is what the Mathematical World considers a 'short cut.' That's because it is an efficient way to calculate how long it takes money to double, base solely on the interest rate. However, it is important to remember that this rule only provides an estimate, and not an exact amount of years.

The Rule Of 72 is as follows:

$\displaystyle\frac{72}{[interest][rate]}$ = time it takes for investment to double

*please note that I separated the word 'interest' and 'rate' using brackets. however, please ignore them. as I only used the brackets to separate the words since the equation option does not allow space between letters.

Now that you understand the Rule Of 72, let's use it to solve the given problem.

Corbin’s parents want to save $50,000 for his college education and already have $25,000. About how long would it take them to double their current savings if they can earn an 8% interest rate?

Although the first sentence in the problem gives us information of the parents goal and their current amount saved, this information will not be useful to us. As the Rule Of 72 goes, we only need to know the interest rate to solve.

Looking at the second sentence it states the interest rate is: 8%

Now substitute the interest rate in the Rule Of 72.

$\displaystyle\frac{72}{[interest][rate]}$ ⟶ $\displaystyle\frac{72}{8}$

The last step is to simplify (or divide).

$\displaystyle\frac{72}{8} = 9$

So, according the Rule Of 72, it will only take about 9 years to double their current savings.

8 0

4 years ago

Match each set of numbers with their least common multiple.

sergejj [24]

Least Common Multiple Calculator

Brute Force Method

There are multiple ways to find a least common multiple. The most basic is simply using a "brute force" method that lists out each integer's multiples.

EX: Find LCM(18, 26)

18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234

26: 52, 78, 104, 130, 156, 182, 208, 234

As can be seen, this method can be fairly tedious, and is far from ideal.

Prime Factorization Method

A more systematic way to find the LCM of some given integers is to use prime factorization. Prime factorization involves breaking down each of the numbers being compared into its product of prime numbers. The LCM is then determined by multiplying the highest power of each prime number together. Note that computing the LCM this way, while more efficient than using the "brute force" method, is still limited to smaller numbers. Refer to the example below for clarification on how to use prime factorization to determine the LCM:

EX: Find LCM(21, 14, 38)

21 = 3 × 7

14 = 2 × 7

38 = 2 × 19

The LCM is therefore:

3 × 7 × 2 × 19 = 798

Greatest Common Divisor Method

A third viable method for finding the LCM of some given integers is using the greatest common divisor. This is also frequently referred to as the greatest common factor (GCF), among other names. Refer to the link for details on how to determine the greatest common divisor. Given LCM(a, b), the procedure for finding the LCM using GCF is to divide the product of the numbers a and b by their GCF, i.e. (a × b)/GCF(a,b). When trying to determine the LCM of more than two numbers, for example LCM(a, b, c) find the LCM of a and b where the result will be q. Then find the LCM of c and q. The result will be the LCM of all three numbers. Using the previous example:

EX: Find LCM(21, 14, 38)

GCF(14, 38) = 2

LCM(14, 38) =

38 × 14

= 266

GCF(266, 21) = 7

LCM(266, 21) =

266 × 21

= 798

LCM(21, 14, 38) = 798

Note that it is not important which LCM is calculated first as long as all the numbers are used, and the method is followed accurately. Depending on the particular situation, each method has its own merits, and the user can decide which method to pursue at their own discretion.

7 0

4 years ago

Please help me i need it right now

Leno4ka [110]

The center points , so the ones with a full line divide by 2

8 0

3 years ago

Read 2 more answers

Lines A and B are parallel lines cut by a transversal find the value of x

irga5000 [103]

Answer: x = 13

Step-by-step explanation:

8x + 2 = 14x - 76

78 = 6x

x = 13

7 0

3 years ago

A scientist creates a colony of bacteria in a dish. This type of

ryzh [129]

Answer: 9:14

Step-by-step explanation: So if he started if 1 bacteria, it becomes 2 bacteria at 9:01, etc. So at 9:13, it is 2^13 and if that is half, that means 2^14 is when it is full so 9:14.

6 0

3 years ago

Name the property. 2(xy)=(2x)y​

Name the property. 2(xy)=(2x)y