Sir or ma’am it’s easy, the answer is the 2 one
What you need to do here is a vector addition of the ship's velocity with respect to the water (V1), plus the velocity of the water with respect to land (V2).
Also remember that:
<span>i = unit vector east </span>
<span>j = unit vector north </span>
<span>V1 = 30 sin 192 i + 30 cos 192 j </span>
<span>V2 = 14 sin 112 i + 14 cos 112 j. </span>
The formula will look like this
<span>V1 + V2 = ?
Now please use the data to put the values into correct places and there you go! Hope this helps</span>
Angles on a straight line add up to 180 degrees.
180-100 = 80
x + 3x = 4x
80/4 = 20
x = 20 degrees
The price of a two-year bond is 101.78 and the correct option is C.
Given that a 9% annual coupon and a yield to maturity of 8%.
Simple yield is the amount of interest received by a bond issuer divided by the current market price of the associated bond.
Implicit Face value, FV=$100
Time, N=2 years
Coupon, C=(9/100)×$100=9
The yield of maturity, r=8%=0.08
Now, we will find the bond price using the formula
Price of bond = C× [1-{1/ (1+r)ⁿ}/r] +M/ (1+r)ⁿ
Substitute the values in this formula, we get
Price of bond=9×[1-{1/(1+0.08)²}/0.08]+100/(1+0.08)²
Price of bond=9×[1-{1/(1.08)²}/0.08]+100/(1.08)²
Price of bond=9×[1-{1/1.1664}/0.08]+100/1.1664
Price of bond=9×[(1-0.857)/0.08]+85.73
Price of bond=9×[0.143/0.08]+85.73
Price of bond=9×1.7875+85.73
Price of bond=16.0875+85.73
Price of bond=101.78
Hence, the price of a two-year bond with a 9% annual coupon and a yield to maturity of 8% is 101.78.
Learn more about bond price from here brainly.com/question/8879117
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Answer: The length of PQ is 37 KM
Step-by-step explanation:
(x+15) + 3(x+15)+ x=245
distribute
(x+15) + 3x+45+x
remove parenthesis
x + 15 + 3x + 45 + x
Add like terms
5x + 60 = 245
Subtract 60 from both sides
5x + 60 - 60 = 245 - 60
5x = 185
divide by 5
x = 37
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