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Maurinko [17]
3 years ago
6

The Sum of The Angles in a Triangle

Mathematics
1 answer:
Cloud [144]3 years ago
5 0

Answer:

<h2>A=20</h2>

Step-by-step explanation:

180-110=70

90+70=160

180-160=20

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  $3800

Step-by-step explanation:

When simple interest is added to the principal amount, the sum increases linearly with time. Essentially, you are asked for the y-intercept of a line that goes through the points (2, 6200) and (3, 7400). You can use the 2-point form of the equation of a line to find it:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (7400 -6200)/(3 -2)(x -2) +6200 . . . . fill in given points

  y = 1200(x -2) +6200 . . . . . . . . . simplify some

  y = 1200x -2400 +6200 . . . . . . simplify more

  y = 1200x +3800 . . . . . . . . . . . . . completely simplify

When the number of years (x) is zero, the amount is 3800. The principal is $3800.

_____

The account is earning $1200 per year on a principal of $3800. The interest rate is about 31.6%, an unusually high value.

_____

<em>Alternate solution</em>

You can recognize that the interest earned in one year is 7400 -6200 = 1200. Since this is simple interest, the amount of interest earned each year is the same, so in 3 years, the account has earned 3×$1200 = $3600 in interest. Then the original principal amount must be ...

  $7400 -3600 = $3800 . . . . . principal amount

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