Step-by-step explanation:
x(2)y(4)z(5)xy(2)
Option 2.
1. Simplify 7 + (12 - 9) + 7 × 3(8 - 5)
According to the Order of Operations, contents of parentheses are evaluated first. This gives
... 7 + 3 + 7 × 3 × 3
Then multiplication and division are performed left to right.
... = 7 + 3 + 21 × 3
... = 7 + 3 + 63
Followed by addition and subtraction left to right.
... = 10 + 63
... = 73
A Google search box can be relied upon to do the operations in the correct order.
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2. When the expression is rewritten, a different result is obtained. This is because the operations indicated by the second set of parentheses are altered.
... (7 + 12) - 9 + (7 × 3)8 - 5
... = 19 - 9 + 21 × 8 - 5
... = 19 - 9 + 168 - 5
... = 10 + 168 - 5
... = 178 - 5
... = 173
In the first expression, both +8 and -5 are multiplied by 21. In the rewritten expression, only +8 is multiplied by 21.
Answer:
median: 8
mean: 7.7
Step-by-step explanation:
In order to find median (the middle number is a set of data), you need to first put the numbers in order from least to greatest:
4, 5, 8, 8, 10, 11
Since there are two numbers in the middle - 8 and 8, you can add them together and divide by two to get the median:
8 + 8 = 16 ÷ 2 = 8
Mean is the average of the set of data and can be found by finding the sum of the data and dividing by the total number of data points.
4 + 5 + 8 + 8 + 10 + 11 = 46 ÷ 6 ≈ 7.7
Answer:
Annual deposit= $3,474.39
Explanation:
Giving the following information:
You want to have $60,000 in your savings account 12 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. The account pays 6.4 percent interest.
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (60,000*0.064)/[(1.064^12)-1]= $3,474.39
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