The yield to maturity on this bond according to the trial-and-error approach is 9.66 percent.
According to the statement
we have given that the Uan zhang bought a 10-year bond that pays 8. 25 percent interest per 6 months.
And we have to find that the yield to maturity on this bond.
So, For this purpose,
The amount given is $911. 10.
Years to maturity = n = 10
Coupon rate = C = 8.25%
Semiannual coupon = $1,000 × (0.0825/2) = $41.25
Yield to maturity = i
Present value of bond = PB = $911.10
Use the trial-and-error approach to solve for YTM. Since the bond is selling at a discount, we know that the yield to maturity is higher than the coupon rate.
Try YTM = 9.4%:
= $522.90 + 391.54 ≅ $914.43
The YTM is approximately 9.66 percent. Using a financial calculator provided an exact YTM of 9.656 percent (2 × 4.828%).
So, The yield to maturity on this bond according to the trial-and-error approach is 9.66 percent.
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Answer:
D. If 20$ a trip charge is added, the new x-intercept will be (20,0)
This statement is false. The original graph started at (0,0), the x-intercept. Adding a 20$ trip charge moves the graph up 20 so there would not be an x-intercept.
Step-by-step explanation:
Answer:
Assume you meant:
Answer is 3
Step-by-step explanation:
Replace x with 0:
zero squared is zero
You should know that you can predict changes in coordinates after translations without a graph or anything like that.
(x, y) reflected over the x axis = (x, -y)
(x, y) reflected over the y axis = (-x, y)
(x, y) rotated 90 degrees around the origin = (y, -x)
(x, y) rotated 180 degrees around the origin = (-x, -y)
(x, y) rotated 270 degrees around the origin - (-x, y)
So here's our set of points.
A(1, 2), B(4, 6), C(4, 6)
Here's those points reflected over the x axis.
A'(1, -2), B'(4, -6), C'(4, -6)
And here's <em>those</em> points rotated 180° around the origin.
A''(2, -1), B''(6, -4), C''(6, -4)
I think you made a mistake writing down the question, though, because B and C are the same yet you say ABC forms a triangle. You should be able to go through this process with whatever the coordinate was supposed to be.
<u>Answer:</u>
time required = 26 min
<u>Step-by-step explanation:</u>
To solve this, let's first list all the given information, and change the units to millimeters (mm) if required (because the discharge rate is given in mm/s):
○ diameter of pipe = 64 mm ⇒ radius = 32 mm
○ water discharge rate = 2.05 mm/s
○ diameter of tank = 7.6 cm = 76 mm ⇒ radius = 38 mm
○ height of tank = 2.3 m = 2300 mm.
Now, let's calculate the cross-sectional area of the pipe:
Area = πr²
⇒ π × (32 mm)²
⇒ 1024π mm²
Next, we have to calculate the volume of water transferred from the pipe to the tank per second. To do that, we have to multiply the pipe's cross-sectional area and the discharge rate of the water:
Volume transferred = 1024π mm² × 2.05 mm/s
⇒ 6594.83 mm³/s
Now. let's find the volume of the cylindrical tank using the formula:
Volume = π × r² × h
⇒ π × (38)² × 2300
⇒ 10433857 mm³
We know that 6594.83 mm³ of water is transferred to the tank every second, so to fill up 10433857 mm³ with water,
time required =
⇒ 1582.12 s
⇒ 1582.13 ÷ 60
≅ 26 min