The total amount of tax on her purchases to the nearest cent will be $9.97
<em><u>Explanation</u></em>
Marcella Heinz purchased office supplies for $107.64 and then she purchased an English-Spanish dictionary for $16.95
So, the total amount of her purchases 
On the total amount of the purchases, she paid state sales tax of 7.5% and the county tax of 0.5%
So, the <u>amount of the state sales tax</u> 
and the <u>amount of county tax</u> 
Thus, the total amount of tax on her purchases 
<em>(Rounded to the nearest cent)</em>
A. 176 because if there are 252 total and 76 on the balcony your answer is 252-76.
Answer:
289feet²
Step-by-step explanation:
Area of a rectangle = length x breadth
area of a square = length²
area of the yard that is not covered by the hot tub and fire pit =
Area of the yard - (area of the hot tub + area of the fire pit)
Area of the yard = 20 feet² = 400 feet²
area of the hot tub = 6 feet² x 8 feet² = 48 feet²
area of the fire pit = 7 feet² x 9 feet² = 63 feet²
400 - (48 + 63) = 289 feet²
Add 16+12 to get 28.
Add 9+12 to get 21.
Think of these as the sides of a triangle.
a^2+b^2=c^2
28^2+21^2=1225
√1225=35
You threw the ball 35 feet.
Answer:
The vertex for the function f(x) = 3(x – 2)2 + 4 is at (2, 4).
Step-by-step explanation:
Find the vertex for f(x) = 3 (x - 2)^2 + 4
f(x) = 3 (x - 2)^2 + 4 can also be written as:
y = 3 (x - 2)^2 + 4
To find critical points, first compute f'(x):
d/(dx)(3 (x - 2)^2 + 4) = 6 (x - 2):
f'(x) = 6 (x - 2)
Solve 6 (x - 2) = 0
6x - 12 = 0
6x = 12
x = 2
iI you substitute x = 2 in 3 (x - 2)^2 + 4 then you get:
y = 3 (x - 2)^2 + 4
x = 2
y = 3 (2 - 2)^2 + 4
y = 3 (0)^2 + 4
y = 3 (0) + 4
y = 4
Answer: The vertex for the function f(x) = 3(x – 2)2 + 4 is at ( 2, 4 ).
