<u>Part</u><u> </u><u>(</u><u>i</u><u>)</u>
1) AB is perpendicular to BC, ED is perpendicular to CD, BC = CD (given)
2) Angles ABC and CDE are right angles (perpendicular lines form right angles)
3) Angles ABC and CDE are equal (all right angles are equal)
4) Angles ACB and DCE are equal (vertical angles are equal)
5) Triangles ABC and EDC are congruent (ASA)
<u>Part</u><u> </u><u>(</u><u>ii</u><u>)</u>
6) AB = DE (corresponding parts of congruent triangles are equal)
Given:
Markers are sold in packages of 12 and pens are sold in packages of 8.
To find:
Least amount of markers and pens Rick needs to buy to have an equal number of markers and pens
Solution:
To find the least amount of markers and pens, we need to find the LCM of 12 and 8.
Prime factors of 8 and 12 are
To find the LCM, multiply all factors but the common factors are included only once.
Therefore, the least amount of markers and pens Rick needs to buy to have an equal number of markers and pens is 24.
Vera's change will be $1.94
Baby potatoes= 1.62
Green beans= 2.54
Amount spent on potatoes= 1.62×2.625
= 4.25
Amount spent on beans= 2.54× 1.5
= 3.81
The change can be calculated as follows
= 3.81 + 4.25
= 8.06
10-8.06
= 1.94
Hence the change is $1.94
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Answer:
Bond Price= 1,182.96
Step-by-step explanation:
Giving the following information:
Par value= 1,000
Cuopon= 1,000*0.045= 45
YTM= 3.2%
Number of years (n)= 10
<u>To calculate the price of the bond, we need to use the following formula:</u>
Bond Price= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]
Bond Price= 45*{[1 - (1.032^-19)] / 0.032} + [1,000 / (1.032^19)]
Bond Price= 633.31 + 549.65
Bond Price= 1,182.96
