Answer:
Explanation:
Please, see attached the chart corresponding to this question.
The<em> chart</em> is a pie chart that shows the percentage composition of the <em>expenses </em>and uses color to identify each item.
The items corresponding to<em> taxes</em> are:
- <em>Federal tax: 29%</em>
- <em>State tax: 6%</em>
All the other expenses are not taxes.
Add the two items that are taxes: 29% + 6% = 35%.
Hence, the expenses that are not taxes can be calculated by difference:
Answer:
(x,y)→(y,-x)
Step-by-step explanation:
Parallelogram ABCD:
A(2,5)
B(5,4)
C(5,2)
D(2,3)
Parallelogram A'B'C'D':
A'(5,-4)
B'(4,-5)
C'(2,-5)
D'(3,-2)
Rule:
A(2,5)→A'(5,-2)
B(5,4)→B'(4,-5)
C(5,2)→C'(2,-5)
D(2,3)→D'(3,-2)
so the rule is
(x,y)→(y,-x)
The average of the set of numbers is the quotient when the sum of the numbers is divided by the number of items. Given that Markus' fifth score x, the average is x+5. The equation for solving the fifth score and the arithmetic mean is,
(85 + 92 + 82 + 94 + x) / 5 = x + 5
Further simplifying gives,
(353 + x) / 5 = x + 5
Calculating for the value of x gives x = 82.
The diagram included should explain this.
