Answer:
A
Step-by-step explanation:
The figure has two disjoint pairs of consecutive sides which are congruent.
Thus the figure is a Kite
Using the properties of a Kite
• The diagonals are perpendicular
• The main diagonal diagonal bisects the pair of opposite angles
Hence ∠1 = 90° ( diagonals are perpendicular )
The angle 22° is a bisected angle so the angle below is also 22°
The sum of the 3 angles in a triangle = 180°, hence
∠2 = 180° - (90 + 22)° = 180° - 112° = 68°
The solution is A
Jeremy sold
18
of the tickets
The question is an annuity question with the present value of the annuity given.
The
present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt) /
(r/t) where PV = $61,600; r = interest rate = 9.84% = 0.0984; t = number
of payments in a year = 6; n = number of years = 11 years and P is the
periodic payment.
61600 = P(1 - (1 + 0.0984/6)^-(11 x 6)) / (0.0984 / 6)
61600 = P(1 - (1 + 0.0164)^-66) / 0.0164
61600 x 0.0164 = P(1 - (1.0164)^-66)
1010.24 = P(1 - 0.341769) = 0.658231P
P = 1010.24 / 0.658231 = 1534.78
Thus, Niki pays $1,534.78 every two months for eleven years.
The total payment made by Niki = 11 x 6 x 1,534.78 = $101,295.48
Therefore, interest paid by Niki = $101,295.48 - $61,600 = $39,695.48
The answer is (3,4) since x=3 and when the line is at x=3, it hits y=4. So the answer is (3,4).
56 feet.....................
