Answer:
85m
Step-by-step explanation:
Perimeter of a rectangle = 2(l+b)
b=72m, l=?
perimeter =314m
314=2(l+72)
314/2= l+72
157=l+72
l=157-72
l=85m
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.
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Answer:
Step-by-step explanation:
Cross multiply on both sides
= (x + 1) (21) = 15(x + 3)
= 21x + 21 = 15x + 45
Bringing like terms on one side
21x - 15x = 45 - 21
= 6x = 24
x = 24/6 = 4
Option A is the correct answer
The mean goals scored by the soccer players this season is 18.3 goals
<h3>What is mean? </h3>
Mean is the ratio of the sum of data to the total sample of data.
If three soccer players are scored 25 goals this season., five soccer players scored 19 goals this season and ten soccer players scored 16 goals this season, the mean goal scored is expressed as:
Mean goal scored = 3(25)+5(19)+10(16)/3+5+10
Mean goal scored = 75 + 95+160/18
Mean goal scored = 330/18
- Mean goal scored = 18.3 goals
Hence the mean goals scored by the soccer players this season is 18.3 goals
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Equation of Area of Triangle = 1/2 x b x h
Find the base by counting the boxes across the bottom.
Find the height by counting the boxes from the base (bottom) to highest point on the triangle.
Insert those numbers into the equation and you get your answer.
