The answer is d y=-7x+6
formula for the equation of a line is y= mx+b
m is the slope
b is the y- intercept
Answer:
a = 327 m²
Step-by-step explanation:
Area of bed
r = 22/2 = 11
a = 3.14(11²)
a = 379.94
Area of bed and sidewalk
r = 11 + 4 = 15
a = 3.14(15²)
a = 706.5
Area of sidewalk
a = 706.5 - 379.94
a = 327 m² (rounded to whole number
#3 sin(x) = -sqrt(2)/2 so x = 315 degrees. So we have sin(x+pi/3) = sin(375) = sin(15) which in exact form would be (sqrt(3) -1)/(2sqrt(2))
#4 to find x we take the arctan(20/21) which is approximately 43.6 degrees and add 180 to it since it's in the 3rd quadrant which is 223.6 degrees so we do sin(223.6 + 90) = sin(313.6) which equals -21/29. This can also be done with the pythagorean theorem. -21/29.
#5 13^2 - 5^2 = 12^2. so sin is -12/-13 = 12/13. we take arcsin of that and add 180 and then divide by 2 and take the sin of that and its approximately 3/sqrt(13).
#6 sin is 4/5 so we take arcsin of that and get 143.13 which -60 is 83.13 and we take the sin of that to get 3/10 + 2sqrt(3)/5
Hope this helped :L
Answer:
The algebraic expression for the original APR is A% + y×B/(Initial Loan Amount)
Step-by-step explanation:
Mortgage points are charges paid to the lender directly to obtain a lower interest rate amount for a loan borrowed. Basically, it entails up front payment of interest that allows for a determination of a new reduced interest rate.
Here we have new APR = A%
Original APR = O%
% reduction of APR per point = y%
Cost of points = B dollars
Therefore, the original APR was A% + y×B/(Loan Amount)
Hence the algebraic expression for the original APR is therefore;
Original APR = A% + y×B/(Loan Amount).
The sequence shows that the numbers will be:
a. 10,26, 74, 218, 650.
b. 1,6,14,38 and 110.
<h3>How to calculate the sequence?</h3>
a. First number = 10
2nd number = (3 × 10) - 4 = 26
3rd number = (3 × 26) - 4 = 74
4th number = (3 × 74) - 4 = 218
5th number = (3 × 218) - 4 = 650
b. First number = 1
2nd number = (1 × 10) - 4 = 6
3rd number = (3 × 6) - 4 = 14
4th number = (3 × 14) - 4 = 38
5th number = (3 × 38) - 4 = 110
Learn more about sequence on:
brainly.com/question/6561461
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