Answer:
15) a) 8
b) y + 2
c) y - 1
16) True
17) 2n - 1, where n is an integer
18) a) 3p + 4q
b) 500 - 3p - 4q
The slope would be -1 since it’s the coefficient of -x
Answer:
128 degrees
Step-by-step explanation:
B = D
B = 128
Therefore, D = 128
tan2x*cotx - 3 = 0
We know that: tan2x = sin2x/cos2x and cotx = cosx/sinx
==> sin2x/cos2x *cosx/sinx = 3
Now we know that sin2x = 2sinx*cosx
==> 2sinxcosx/cos2x * cosx/sinx = 3
Reduce sinx:
==> 2cos^2 x/ cos2x = 3
Now we know that cos2x = 2cos^2 x-1
==> 2cos^2 x/(2cos^2 x -1) = 3
==> 2cos^2 x = 3(2cos^2 x -1)
==> 2cos^2 x = 6cos^2 x - 3
==> -4cos^2 x= -3
==> 4cos^2 x = 3
==> cos^2 x = 3/4
==> cosx = +-sqrt3/ 2
<span>==> x = pi/6, 5pi/6, 7pi/6, and 11pi/6</span>
Using it's formula, it is found that the monthly payments for the loan of the apartment is of $7,260.50.
<h3>What is the monthly payment formula?</h3>
It is given by:
In which:
- n is the number of payments.
In this problem, the parameters are given as follows:
P = 500000, r = 0.123, n = 12 x 10 = 120.
Hence:
r/12 = 0.123/12 = 0.01025.
Then, the monthly payments will be of:
A = 7260.50.
More can be learned about the monthly payment formula at brainly.com/question/26267630
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