a CD usally sells for 14.00 if the CD is 30% off and sales tax7% whats the total price of the price of the CD including tax
1 answer:
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(D) 33 feet
<u>Explanation:</u>
Given:
Height of the tree, h = 22 feet
angle, θ = 42°
Length of the ladder, l = ?
We know:
sin θ = Perpendicular / hypotenuse
So,
Sin θ = height of the tree / length of the ladder
l = 32.84 feet ≈ 33 feet
Therefore, the length of the ladder be to reach the top of the apple tree is 33 feet.
There are no algebraic methods for finding solutions to a general mix of exponential and polynomial terms. A graphing calculator can be helpful.
This equation has 3 real solutions, approximately ...
x ∈ {-0.802246431546, 1.51677641228, 7.17475582739}
_____
In the folder "iteration for solutions" is an equation for Newton's method iteration, essentially, ...
g(x) = x -f(x)/f'(x)
where f(x) is defined as shown in the picture.
Many graphing calculators can compute a numerical derivative, so you can essentially write the formula in this form without having to do the derivative-taking yourself. This calculator is nicely interactive, so the iteration result is produced at the same time the argument for g(x) is entered. Essentially, you write the answer by copying the answer using the 4-digit zero-crossing values shown on the graph as the iteration starting point.
This equation has 3 real solutions, approximately ...
x ∈ {-0.802246431546, 1.51677641228, 7.17475582739}
_____
In the folder "iteration for solutions" is an equation for Newton's method iteration, essentially, ...
g(x) = x -f(x)/f'(x)
where f(x) is defined as shown in the picture.
Many graphing calculators can compute a numerical derivative, so you can essentially write the formula in this form without having to do the derivative-taking yourself. This calculator is nicely interactive, so the iteration result is produced at the same time the argument for g(x) is entered. Essentially, you write the answer by copying the answer using the 4-digit zero-crossing values shown on the graph as the iteration starting point.
The solving for the first one should be like this
And the next part
After these manipulations just multiply them
And finally you need to square and simplify for the completed answer
And the next part
After these manipulations just multiply them
And finally you need to square and simplify for the completed answer