A person is standing 215 feet above the ocean
2 answers:
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Answer:
We want to find a solution of the system:
x^2 + y^2 > 49
y ≤ –x^2 – 4
Here we do not have any options, so let's try to find a general solution.
First, we can remember that the equation of a circle centered in the point (a, b) and of radius R is:
(x - a)^2 + (y - b)^2 = R^2
If we look at our first inequality, we can write it as:
x^2 + y^2 > 7^2
So the solutions of the first inequality are all the points that are outside (because the symbol used is >) of the circle of radius R = 7 centered in the origin.
From the other equation, we would get:
y ≤ –x^2 – 4
This is parabola, anything that is in the graph of the parabola or below will be a solution for this inequality.
Then the solutions of the system, are the ones that are in the region of solutions for both inequalities.
You can see the graph below, where both regions are graphed. The intersection of these regions is the region of the solutions for the system of inequalities:
by looking at the graph, we can see a lot of points that are solutions, like:
(0, -10)
(0, -15)
(2, -10)
etc.
<u>Answer:</u>
Sale tax paid by Katrina is 0.44 units of currency and total amount paid is 5.94 unit of currency.
<u> Solution:</u>
Given that Katrina goes to road runner after school and purchase following three products
A soda for 1.50
Chips for 3.50
Candy for 0.50
Also she pays 8% sales tax.
Need to determine amount paid in sales tax and total amount paid by Katrina.
lets first calculate amount she paid without taxes.
Total paid amount without taxes = 1.50 + 3.50 + 0.50 = 5.50
As she paid 8% sale tax , that is 8 % of 5.50
so sale tax paid =
<em>Total amount paid = Total amount paid without taxes + tax paid </em>
= 5.50 + 0.44 = 5.94
Hence sale tax paid by Katrina is 0.44 units of currency and total amount paid is 5.94 unit of currency.