Math Middle School Question
2 answers:
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Answer:
2468.11 dollars
Step-by-step explanation:
Amount that should be available after four years =3000 $
Interest rate = 5%
No of years =4
Let P be the principal invested
Then
Hence 2468.11 dollars should be deposited to get 3000 dollars after 4 years at 5% interest.
Using the properties of operations the given pair of expressions are not equivalent
<u>Solution:</u>
Given that, we have to use the properties of operations to determine if each pair of expressions is equivalent
<em><u>And the two expressions are:</u></em>
Now, we know that, there are four (4) basic properties of operations:
<em>Commutative, Associative, Distributive and Identity. These properties only apply to the operations of addition and multiplication.</em>
So, if we observe we can apply distributive property on 1st expression
The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.
Here the resulting expression is 2 – x and it is not equivalent to 2 – 2x
Hence, the given two expressions are not equal.
Answer:
Step-by-step explanation:
To find the population variance, we first need the mean:
so the mean is 7.2. To find the population variance (which is almost exactly the same as the sample variance except for a small difference in the denominators of the formula) we have to take each number minus the mean, and then square the difference. Add together all these squared numbers and then divide by the number of numbers. Like this:
Add together those numbers and divide them by 5: