Answer:
21 degrees
Step-by-step explanation:
Triangles have a total angle of 180 degrees.
This makes our equation:
3x+3+4x+135=180
Subtract 135 from both sides and combine like terms
7x + 3 = 45
Subtract 3 from both sides
7x = 42
Divide both sides by 7
x = 6
Plugging the number in:
3x + 3 =
3(6) + 3 =
21
Answer:
x = 3
Step-by-step explanation:
Since the quadrilateral QRST is a square, all sides are equal
Therefore QR must be equal to TS
3x - 6 = 6 - x
4x = 12
x = 3
Evaluate when t= 2
A 2-column table with 5 rows. Column 1 is labeled Key Words with entries ten, less than, quotient, thirty, a number. Column 2 is labeled replace with entries 10, minus, divided by, 30, t.
First, write the expression
.
Second,
2 in for the variable, t.
Third,
by using
.
The answer is
.
Answer:
The Answer is 5
Step-by-step explanation:
First, write the expression
30/t – 10
.
Second,
substitute
2 in for the variable, t.
Third,
simplify
by using
order of operations
.
The answer is
5
.
Answer:
Step-by-step explanation:
90
105
120
Answer:
Step-by-step explanation:
The answer is 90
B) 5.8 in.
C) 52 in.
D) 80 in.
Answer:
correct answer is A
Step-by-step explanation:
1.5 in
To calculate the income tax T(x) based on the provided tax brackets for income x, we can define the function T(x) as follows:
1. If the income x is $50,000.00 or less, then the tax is 5% of the income.
2. If the income x is more than $50,000.00, then the tax is 5% on the first $50,000.00 plus 8% on the amount in excess of $50,000.0.
We can express this with a piecewise function:
T(x) = 0.05 * x, for x ≤ $50,000.00
T(x) = 0.05 * $50,000.00 + 0.08 * (x - $50,000.00), for x > $50,000.00
Let's break it down with an example calculation:
Example 1: If the income x is $40,000.00
Since the income is less than or equal to $50,000.00, we use the first part of the function:
T(x) = 0.05 * $40,000.00
T(x) = $2,000.00
So the income tax would be $2,000.00.
Example 2: If the income x is $60,000.00
Since the income is greater than $50,000.00, we use the second part of the function:
T(x) = 0.05 * $50,000.00 + 0.08 * ($60,000.00 - $50,000.00)
T(x) = $2,500.00 + 0.08 * $10,000.00
T(x) = $2,500.00 + $800.00
T(x) = $3,300.00
So the income tax would be $3,300.00.
This is how you would manually calculate the income tax for any given income using the function T(x) with the specified tax brackets.
Answer:
2Sales $1,120,000.00 $1,000,000.00
3 Cost of goods sold 971,250.00 875,000.00
4 Gross profit $148,750.00 $125,000.00
5 Selling expenses $71,250.00 $62,500.00
6 Administrative expenses 56,000.00 50,000.00
7 Total operating expenses $127,250.00 $112,500.00
8 Income before income tax $21,500.00 $12,500.00
9 Income tax expense 8,000.00 5,000.00
10 Net income $13,500.00 $7,500.00
Required: A. Prepare a comparative income statement with horizontal analysis for the two-year period, indicating the increase (decrease) for the current year when compared with the previous year. Use the minus sign to indicate an amount or percent decrease. If required, round percentages to one decimal place. B. What conclusions can be drawn from the horizontal analysis?
Step-by-step explanation: