Answer:
a true
b false
c. false
d. true
e. false
f. true
Step-by-step explanation:
The function is y =35+8x where x is the number of items sold and y is the earnings
To determine if the point is on the graph substitute the point in and see if it is true
a (7,91)
91 = 35+ 8(7)
91 = 35+ 56
91 = 91 true
b(11, 121)
121 = 35+ 8(11)
121 = 35+ 88
121 = 123 false
c. (9, 110)
110 = 35+ 8(9)
110 = 35+ 72
110 = 107 false
d. (4,67)
67 = 35+ 8(4)
67 = 35+ 32
67 = 67 true
e. (5,72)
72 = 35+ 8(5)
72 = 35+ 40
72 = 75 false
f. (3, 59)
59 = 35+ 8(3)
59 = 35+ 24
59 = 59 true
Answer: $ 290 thousand
Step-by-step explanation:
Given : According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $470 thousand.
Let X be the the average price of a new home in 2000 .
Then , the 62 % increase in price is given by :-
Since , the the average price of the home in 2016 = $470 thosand
Hence, the average price of a new home in 2000 = $ 290 thousand .
The equation that models the difference in the projected enrollments for
public schools and private schools as a function of the number of years
since 1985 is B - R = (-18.53t^2 + 975.8t + 48140) - (80.8t + 8049) = -18.53t^2 + 975.8t + 48140 - 80.8t - 8049 = -18.53t^2 + 895t + 40091
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
