Answer:
Step-by-step explanation: A 4-column table with 4 rows. Column 1 is labeled Service with entries Restaurant, Florist, Cab Fare, Dog Groomer. Column 2 is labeled Cost with entries 40 dollars, 94 dollars, 32 dollars, 62 dollars. Column 3 is labeled Gratuity with entries 18 percent, 12 percent, 20 percent, 26 percent. Column 4 is labeled Tax with entries 8.5 percent, 12 percent, 0 percent, 5.75 percent.About how much should the gratuity for the restaurant server be? Round the percent of gratuity to the nearest benchmark percent to find the answer.$
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Simple procedure :
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer:
The equation of the line is y = (5/2)x + 5.
Step-by-step explanation:
When both line are parallel, they share the same gradient value so the equation will be y = (5/2)x + b. Next, you have to find the value of b, by substituting the coordinates into the equation :
y = (5/2)x + b
let x = -2, y = 0,
0 = (5/2)(-2) + b
0 = -5 + b
b = 5
Answer:
The area of the shaded figure is:
Step-by-step explanation:
To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):
- Area of a rectangle = long * wide
- Area of a rectangle = 6 * 4
- Area of a rectangle = 24 units^2
How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):
- Area of a triangle =
- Area of a triangle =
- Area of a triangle =
- Area of a triangle = 4 units^2
In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:
- Area of the shaded figure = Area of the rectangle - Area of the triangle
- Area of the shaded figure = 24 units^2 - 4 units^2
- <u>Area of the shaded figure = 20 units^2</u>
I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.
Answer:
Amount invested that yielded interest of 5% is $15000 and amount invested that yielded interest of 8% is $5000
Step-by-step explanation:
Johnny invested $20,000
We are told that it consisted of 2 portions because one returned an interest of 5% and the other one 8%
Now, Let x be the amount invested that earned 5% and y be the amount invested that earned 8%
Thus:
x + y = 20000 - - - (eq 1)
The total interest earned on the investment was $1150
Thus;
5%x + 8%y = 1150
This can be rewritten as;
0.05x + 0.08y = 1150 - - -(eq 2)
From eq 1, let's make x the subject.
x = 20000 - y
Putting 20000 - y for x in eq 2 gives;
0.05(20000 - y) + 0.08y = 1150
1000 - 0.05y + 0.08y = 1150
Rearranging, we have;
0.03y = 1150 - 1000
0.03y = 150
y = 150/0.03
y = 5000
Thus,
x = 20000 - 5000
x = 15000
Thus,
Amount invested that yielded 5% is $15000 and amount invested that yielded 8% is $5000
