Answer:
Sales goal, S = Q. 10,000
Step-by-step explanation:
- Let the daily sales goal be S.
<u>Given the following data;</u>
- Amount sold = Q. 2,000.00
- Percentage of the sales goal = 20%
To find his daily sales goal;


Dividing both sides by 0.2, we have;

<em>Sales goal, S = Q. 10,000</em>
The required value is 
Step-by-step explanation:
Weight of ants = 
Weight of elephant= 
We need to find, the total weight of about how many ants equals to the weight of an oversized elephant.
The equation given is:

We need to find a:
Solving:

So, the required value is 
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Answer:
Hello
Step-by-step explanation:
Answer:
The value of a = 14
Step-by-step explanation:
Given
(x₁, y₁) = (2, 4)
(x₂, y₂) = (6, a)
(x₃, y₃) = (-1, 1)
A = 9 sq.units
Area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃) is:

substituting the values (x₁, y₁) = (2, 4), (x₂, y₂) = (6, a), (x₃, y₃) = (-1, 1), A = 9 in th formula


Multiply both sides by 2

simplify

As the area is always positive.
so


Add 18 to both sides

simplify



Divide both sides by 3


Thus, the value of a = 14
Let us check the transformations. The first step is regarding the argument of the function, the -2x part. So, first of all, the minus sign implies that the function is reflected along the y-axis since f(x) is replaced with f(-x). However, cosx is symmetric along that axis so there is no change on the graph. Also, the 2 factor means that the function is compressed along the x-axis, since now f(2) corresponds to f(1) etc. (if we substitute 1 in the cos(2x), it is as if substituting 2 in the origninal function cosx). Finally, we have that the factor 3 in front of cos, implies that the function is dilated along the y-axis; the highs become 3 times higher and the lows 3 times low.