Answer:
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Answer: -2
Step-by-step explanation: As our first step, we simplify inside the absolute value. 7 - 9 is -2 so we have -|-2|.
A common mistake at this point in the problem is to change the minus a negative to plus a positive but don't fall into this trap.
We must ignore the negative outside the absolute value until our very last step in this problem.
So we take the absolute value of -2 which is 2 and we have -(2) or -2.
Notice that I used parentheses around the 2 as it comes out of the absolute value.
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The sides and angles of a triangle can be determined using trigonometry ratios
The values of x, y and z are , and
<h3>How to determine the missing values of the triangle</h3>
The upper triangle is a right triangle with an angle measure of 45 degrees.
So, the value of x is:
Next, we calculate the hypotenuse (h) of the lower triangle using:
So, we have:
Take the square roots of both sides
The value of y is then calculated using the following sine ratio
Make y the subject
Evaluate
The value of z is then calculated using the following cosine ratio
Make z the subject
Evaluate
Hence, the values of x, y and z are , and
Read more about right triangles at:
brainly.com/question/14628284
Amount of the mortgage after down payment is
160,000−160,000×0.2=128,000
Now use the formula of the present value of annuity ordinary to find the yearly payment
The formula is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value 128000
PMT yearly payment?
R interest rate 0.085
N time 25 years
Solve the formula for PMT
PMT=pv÷[(1-(1+r)^(-n))÷r]
PMT= 128,000÷((1−(1+0.085)^(
−25))÷(0.085))
=12,507.10 ....answer