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
Answer:
Probability of at least two cuckoo eggs is 0.738.
Step-by-step explanation:
probability of cuckoo egg = 0.1
probability of not a cuckoo egg = 1 - 0.1 = 0.9
Probability of at least two cuckoo eggs is
= Probability of two cuckoo eggs x probability of 1 not cuckoo egg +
probability of three cuckoo eggs
= 0.1 x 0.1 x 0.9 + 0.9 x 0.9 x 0.9
= 0.009 + 0.729
= 0.738
Answer: top left
Reason: all plots have twenty dots. Count from either side. If the tenth and eleventh are both on six than that plot is correct. Top left is the only one like that. (the median of 20 being between 10 and 11)
Perpendicular lines have slopes that are negative reciprocals of each other, so the equation of the line in point-slope form is:
Rewriting this in standard form,
