Answer:
(x = -11 and y = 56) or (x = 1 and y = -4)
Step-by-step explanation:
The equation of the parabola is 10 + y = 5x + x² ........(1)
And 5x + y = 1 ....... (2) is the straight line.
We have to find solutions to equations (1) and (2).
Now, solving equations (1) and (2) we get, 10 + (1 - 5x) = 5x + x²
⇒ 11 - 5x = 5x +x²
⇒x² + 10x - 11 = 0
⇒ (x + 11) (x - 1) = 0
Hence, x = -11 or x = 1
Now, from equation (2),
y = 1 - 5x = 1 - 5(-11) = 56 {When x = -11}
And, y = 1 - 5(1) = -4 (When x = 1}
Therefore, the solution of the system are (x = -11 and y = 56) or (x = 1 and y = -4) (Answer)
Answer:
The yield to maturity is 6.3974%
Step-by-step explanation:
The computation of the yield to maturity is as follows
Given that
NPER = 18 × 2 = 36
PMT = $1,035.25 × 6.50% ÷ 2 = $33.65
PV = $1,035.25
FV = $1,000
The formula is shown below:
=RATE(NPER;PMT;-PV;FV;TYPE)
The present value comes in negative
AFter applying the above formula, the yield to maturity is
= 3.1987% × 2
= 6.3974%
Hence, the yield to maturity is 6.3974%
Answer:
d
Step-by-step explanation:
Answer:
83% are boys
Step-by-step explanation:
Im not sure if you have to round but you take the total number of family members (6) and divide it by how many boys (5) which would be 0.8333333 which you can round to either 80 or 83
Answer:
1636 cm^2
Step-by-step explanation:
cut in itwo two shapes a rectangle and isosceles trapizoid
Area - 1/2 hight(base x length)
1/2 x 14(6x17) = 714 cm^2
Area of rectangle- 2(wl x hl x hw) = 922 cm^2
l = 17
w = 13
h = 8
add the areas - 922 + 714 = 1636 cm^2
