What is the cost of the bond?
When you see that a bond was purchased "at 92", this means that the bond was purchased for 92% of the face value. Sometimes the bond purchaser will pay more than the face value (purchased a number greater than 100), generally if the interest rate is higher than the market rate.
The cost of one bond, then, is 92% of 1,000, or $920.
Since there are 6 bonds, the total cost is 920 x 6 = $5520
What is the total annual interest?
The annual interest is the interest rate on the bond times the face value (not the cost of the bond).
The interest rate is 6.5%, so the annual interest on one bond is:
6.5% x 1000 = $65
6 bonds: $65 x 6 = $390
When we think of yield, we want to consider the real return on the bond. This is the annual interest earned divided by what the purchaser paid for it.
The purchaser paid $5520 for the bonds, and is earning $390.
390 ÷ 5520 = 7.06%.
Note that we can also calculate the return on one bond, rather than the total cost and interest of 6 bonds, and get the same result.
65 ÷ 920 = 7.06%
The area of a triangle can be determined as half the product of two sides multiplied by the sine of the angle between them. In this case,
A = (1/2)(AB)(AC)(sin A) = (1/2)(6)(15)(sin 48) = 33.44 square units.
Answer:
graph
Step-by-step explanation:
graph shown
intersected large curve
15x is greater than or equal to 525
the answer is X is greater than or equal to 35
