Answer:
5.8%
Step-by-step explanation:
Current yield = 6.1%
Face value of bond = $500
Market price of bond = $475
Let the original coupon rate be CR
Multiply both sides by 475
Cancel out the 475's from the top and bottom of the right side
Flip the sides
Divide both sides by 5000
Cancel out 50000 from the top and bottom of the left side
%
CR = 0.0579 * 100 [convert decimal into a percentage]
CR = 5.79 %
CR = 5.8% [rounded off to the tenth place]
Answer: i dont know
Step-by-step explanation:
Answer:
200, 500, 250, 520, 220 and 550
Step-by-step explanation:
A number is multiple of 10 if the number finish in the digit 0.
So, all three-digit numbers that are multiples of 10 and have the digits 0, 2 and 5 are:
200
500
250
520
220
550
With the provided vertices and the focus point, the hyperbola will look like the one in the picture below.
notice the "c" distance from the center to the focus point.
since it's a vertical hyperbola, the positive fraction will be the one with the "y" in it, its center is clearly half-way between the vertices at -5, 5.
its major axis or traverse axis goes from -2 up to 12, so is 14 units long, therefore the "a" component is half that, or 7.
![\bf \begin{cases} h=-5\\ k=5\\ a=7\\ c=25 \end{cases}\implies \cfrac{(y-5)^2}{7^2}-\cfrac{[x-(-5)]^2}{b}=1 \\\\\\ \cfrac{(y-5)^2}{7^2}-\cfrac{(x+5)^2}{b}=1\\\\ -------------------------------\\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b\implies \sqrt{25^2-7^2}=b \\\\\\ \sqrt{625-49}=b\implies \sqrt{576}=b\implies 24=b\\\\ -------------------------------\\\\ \cfrac{(y-5)^2}{7^2}-\cfrac{(x+5)^2}{24^2}=1\implies \cfrac{(y-5)^2}{49}-\cfrac{(x+5)^2}{576}=1](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%0Ah%3D-5%5C%5C%0Ak%3D5%5C%5C%0Aa%3D7%5C%5C%0Ac%3D25%0A%5Cend%7Bcases%7D%5Cimplies%20%5Ccfrac%7B%28y-5%29%5E2%7D%7B7%5E2%7D-%5Ccfrac%7B%5Bx-%28-5%29%5D%5E2%7D%7Bb%7D%3D1%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7B%28y-5%29%5E2%7D%7B7%5E2%7D-%5Ccfrac%7B%28x%2B5%29%5E2%7D%7Bb%7D%3D1%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0Ac%5E2%3Da%5E2%2Bb%5E2%5Cimplies%20%5Csqrt%7Bc%5E2-a%5E2%7D%3Db%5Cimplies%20%5Csqrt%7B25%5E2-7%5E2%7D%3Db%0A%5C%5C%5C%5C%5C%5C%0A%5Csqrt%7B625-49%7D%3Db%5Cimplies%20%5Csqrt%7B576%7D%3Db%5Cimplies%2024%3Db%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0A%5Ccfrac%7B%28y-5%29%5E2%7D%7B7%5E2%7D-%5Ccfrac%7B%28x%2B5%29%5E2%7D%7B24%5E2%7D%3D1%5Cimplies%20%5Ccfrac%7B%28y-5%29%5E2%7D%7B49%7D-%5Ccfrac%7B%28x%2B5%29%5E2%7D%7B576%7D%3D1)
