The ratio of OC to OA is OC/ 10√2 - OC
<u>Explanation:</u>
Given -
AD = 4 cm
M is the midpoint of CD
Ratio of OC to OA = ?
In a square, all the interior angles are 90°
Therefore,
ΔADC, ΔABC and ΔBCM are right angled triangle
AC is the diagonal which divides ∠DAB and ∠DCB equally
If AD = 4 cm, then AB, BC and DC are also 4cm
In ΔADC,
(AC)² = (AD)² + (DC)²
(AC)² = (10)² + (10)²
AC = 10√2 cm
AC = OA + OC
OA = AC - OC
OC/OA = OC / AC - OC
OC / OA = OC / 10√2 - OC
Therefore, the ratio of OC to OA is OC/ 10√2 - OC
Answer:
A. (1, 3) is your answer.
Step-by-step explanation:
Since they are both positive that means that it will be increasing.
if c is -1 the equation should be
4x² + 4x -1 = 0
not plus 1
I assume you want the coordinates of the zeros.
if c is indeed -1, they are at (-1.207 , 0) and (0.207 , 0)
if c is +1, as in the equation the only zero point is at (-0.5 , 0)
see screenshot for illustration
Answer:
Option B is correct.
Step-by-step explanation:
Answer:
a. $849.45
Step-by-step explanation:
In the above question, we are given the following information
Coupon rate = 10%
Face value = 1000
Maturity = n = 20 years
t = number of periods = compounded semi annually = 2
Percent yield = 12% = 0.12
Bond Value formula =
C/t × ([1 -( 1/ 1 + r/t)-^nt ÷] r/t) +( F/ (1 + r/t)^nt)
C = coupon rate × face value = 10% × 1000 = 100
Bond value:
= 100/2 × ( [1 - (1 /1 + 0.12/2)^-20×2]÷ 0.12/2)+ (1000/( 1 + 0.12/2)^20×2
= 50 × ( [1 - (1 /1 + 0.06) ^40] ÷ 0.06) + ( 1000/ (1 + 0.06) ^40
= 50 × ( [1 - (1/ (1.06) ^40] ÷ 0.06 ) + (1000/(1.06)^40)
= 50 × 15.046296872 + 97.222187709
= $849.45
Bond value = $849.45
