Answer:
The semi-annually compounded nominal rate at that time is 7%
Step-by-step explanation:
In order to calculate the semi-annually compounded nominal rate at that time we would have use the following formula:
PV= FV/(1+r)^n
According to the given data we have the following:
PV=$167
FV=$1,000
n=30-year, and strip bond was traded four years after it was issued, hence, n=(30-4)*2 =52
Therefore, 167= $1,000/( 1+r)^52
167/$1,000 =1/(1+r)^52
0.167 =1/(1+r)^52
r =3.50%
Therefore, The semi-annually compounded nominal rate at that time=3.50%*2
The semi-annually compounded nominal rate at that time=7%
The semi-annually compounded nominal rate at that time is 7%
Answer:
Option B - 
and 
Step-by-step explanation:
Given : The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry fee of $60 and an additional $3 per ride, x.
To find : Which system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same?
Solution :
Let x be the number of rides and
y be the cost per ride.
According to question,
The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride.
The equation form is 
The Splash water park charges an entry fee of $60 and an additional $3 per ride.
The equation form is 
Therefore, The required system of equations form are
and
So,Option B is correct.
The smallest degree of rotation is called the angle of rotation. This can be calculated by dividing the angle of full rotation by the number of sides of a regular polygon. Since a full rotation is 360 degrees, we divide 360 by 24.
Thus, the smallest rotation needed to map the polygon back to itself is 15 degrees.
The answer is B because you can separate the cuboid, cylinder and cone, find the individual volumes and add them all together to get the overall volume
