A teacher wrote an algebraic expression on the board and asked students to write an equivalent expression. The teacher's express
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A quadrilateral, has 4 sides and its internal angles sum, add up to 360, now... you have 3 angles give.. .but we don't have C
so.. C is the difference of all the three angles from 360 or
whatever that is, now, you'll get some value in x-terms
so.... now once we know what C is
you can if you want, do a search in google for "inscribed quadrilateral conjecture", I can do a quick proof if you need one
but in short, for a quadrilateral inscribed in a circle, each pair of opposites angles are "supplementary angles", namely they add up to 180°
so.. what the dickens does all that mean? well D+B=180 and A+C = 180
now. we know what A is, 2x+1
and by now, you'd know what C is from 360-x-2x-1-148
so... add them together then and
solve for "x"
so.. C is the difference of all the three angles from 360 or
so.... now once we know what C is
you can if you want, do a search in google for "inscribed quadrilateral conjecture", I can do a quick proof if you need one
but in short, for a quadrilateral inscribed in a circle, each pair of opposites angles are "supplementary angles", namely they add up to 180°
so.. what the dickens does all that mean? well D+B=180 and A+C = 180
now. we know what A is, 2x+1
and by now, you'd know what C is from 360-x-2x-1-148
so... add them together then and
solve for "x"
<u>The formula for the monthly payment</u>.....
, where P = the principal amount, r = the monthly interest rate and n = the total number of months.
Here annual interest rate is given as 4.5%
So, the monthly interest rate
Total number of months
Also given that, the principal amount is $225000
a. So, the monthly payment will be.....
Thus, the monthly payment will be approximately $1140
b. The <u>total amount paid</u> over the term of the loan will be:
c. As the principal amount was $225000 , so the amount of interest
So, the percentage of amount that is paid toward the principal
and the percentage of amount that is paid toward the interest