Answer:
The correct option is D.
Step-by-step explanation:
The given equation is

According to the addition property of equality
and
are equivalent equations.
Use addition property of equality, add 3x on both the sides.


Therefore Sam's work is incorrect because he make calculation mistake.
According to the subtraction property of equality
and
are equivalent equations.
Use subtraction property of equality, subtract 5x from both the sides.


Therefore Roy's work is correct because he used subtraction property.
Option D is correct.
Step-by-step explanation:
2x+1
x = 5
2(5)+1
=10+1=11
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:
A(t) = π(8t)²
Step-by-step explanation:
Radius of a circular wave increases by 8 cm each second.
Every second radius of circular wave so the sequence of increase in radius will be,
8, 16, 24, 32.........(8t)
Here 't' = time
Since, area of a circle = πr²
Therefore, area of the circular wave after 't' seconds since the wave begins,
A(t) = π(8t)²
Answer: it’s 2/3
Step-by-step explanation: From 0, -3 to 2,0 it’s up three and right to so 2/3