Answer:
The pink angle is half the angle subtended by the blue arc.
Step-by-step explanation:
Given
See attachment for circle
Required
Compare the pink angle to the blue arc
Let the pink angle be x and the angle subtended by the blue arc be y.
So, we have:
angle at circumference
angle subtended by arc
The relationship between x and y is:
Make x the subject
Answer:
4x^2 + 3.
Step-by-step explanation:
f o g(x) = f(4x^2 + 4)
= (4x^2 + 4) - 1
= 4x^2 + 3.
Answer:
1330 in.
Step-by-step explanation:
38 x 35 = 1330
<span>This question is an annuity problem with cost of the car = $32,998, the present value of the annuity (PV) is given by the difference between the cost of the car and the down payment = $32,998 - $4,200 = $28,798. The monthly payments (P) = $525 and the number of number of years (n) = 5 years and the number of payments in a year (t) is 12 payments (i.e. monthly) The formula for the present value of an annuity is given by PV = (1 - (1 + r/t)^-nt) / (r/t) 28798 = 525(1 - (1 + r/12)^-(5 x 12)) / (r/12) 28798r / 12 = 525(1 - (1 + r/12)^-60) 28798r / (12 x 525) = 1 - (1 + r/12)^-60 2057r / 450 = 1 - (1 + r/12)^-60 Substituting option A (r = 37% = 0.37) 2057r / 450 = 2057(0.37) / 450 = 761.09 / 450 = 1.691 1 - (1 + r/12)^60 = 1 - (1 + 0.37/12)^-60 = 1 - 0.1617 = 0.8383 Therefore, r is not 37% Substituting option D (r = 3.7% = 0.037) 2057r / 450 = 2057(0.037) / 450 = 76.109 / 450 = 0.1691 1 - (1 + r/12)^60 = 1 - (1 + 0.037/12)^-60 = 1 - 0.8313 = 0.1687 Therefore, r is approximately 3.7%</span>
Answer:
Step-by-step explanation:
Multiply N on both sides
X = P*N
