Answer:
1a) t = 0.17b
1b) $36.03
2) 51,167.50
Step-by-step explanation:
1a) 17% converted to a decimal (divide by 100) = 0.17. Multiply that by the amount of the bill (before tipping) to get the amount of the tip
1b) The bill of $248 represents the entire bill (100%) plus the tip amount (17%) which makes 117%. As a decimal, this is 1.17.
To find what the cost was without the tip, divide the bill total by 1.17
248/1.17 = 211.97. That was the bill before the tip was added.
248-211.97 = 36.03 was the tip added.
2) 5.5% converted to a decimal is 0.055
0.55 x 48,500 = 2667.50
$2,667.50 + $48,500 = 51,167.50
Or, you can use what we did in 1b, and his new salary is 1.055 times 48,500
1.055 x 48,500 = 51,167.50
The lowest terms for 19/31 would be 1
The angle immediately below x makes up the third angle of the isosceles triangle whose base angles are 55°. That third angle and x are "vertical" angles, hence equal. The value of x can be found from the sum of angles of a triangle:
x + 55° + 55° = 180°
x = 70°
The appropriate choice is the 2nd one:
70°
Answer:
A few examples:
0. 0
1. Undefined
2. -3/5
3. Undefined
...
7. 493
8. 5/2
....
Learn how to find the slope below for the other problems.
Step-by-step explanation:
Slope is the rate of change for a linear function. It is found by subtracting the y values of two point on the line and dividing that difference by the difference of the x values of the points.
It can also be found using the formula y=mx+b known as the slope intercept form.
Here are a few examples:
0. This is a horizontal line which always has slope 0.
1. This is a vertical line which always has slope undefined.
2. Find two points that cross through a grid line intersection The line appears to cross them at (5,3) and (0,6). Count the unit squares between the two by counting up 3 and over to the left 5. Because it is left it is negative. The slope is -3/5
3. To find the slope, use the slope formula:
Since we can't divide by 0, it is undefined.
7. y=493x-257 follows the formula y=mx+b where m is the slope. m=493. The slope is 493.
8. Covert the equation into y=mx+b by rearranging the terms using y=mx+b.
5x-2y=48
-2y=48-5x
y=5/2 x -24
So the slope is 5/2.
Answer:
The answers are given below.
Step-by-step explanation:
The computation is shown below:
1.a.
Profit Margin = Net Income ÷ Sales × 100
= $374 ÷ $6,900 ×100
= 5.4%
1-b:
Average Assets = (Beginning Assets + Ending Assets) ÷ 2
= ($3,200 + $3,600) ÷ 2
= $3,400
Now
Return on Assets = Net Income ÷ Average Assets
= $374 ÷ $3,400
= 11%
1-c
Average Equity = ($700 + $700 + $320 + $270) ÷ 2
= $995
Now
Return on Equity = Net Income ÷ Average Equity *100
= $374 ÷ $995
= 37.59%
2:
Dividends Paid = Beginning Retained Earnings + Net Income – Ending Retained Earnings
= $270 + $374 - $320
= $324
