Answer:
b
Step-by-step explanation:
 
        
             
        
        
        
Answer:
$54.6
Step-by-step explanation:
Amount borrowed = $560
Interest paid in the 12-month period = 6.5% of 560 =$36.4
The amount of interest Trudy pays in 18 months is worked out as
Monthly interest = $36.4/12
Interest payable in 18 months
 = ($36.4/12) x 18
 = $54.6
 
        
             
        
        
        
Answer:

Step-by-step explanation:
we know that

Remember the identity

step 1
Find the value of 
we have that
The angle alpha lie on the III Quadrant
so
The values of sine and cosine are negative

Find the value of sine 

substitute




step 2
Find the value of 
we have that
The angle beta lie on the IV Quadrant
so
The value of the cosine is positive and the value of the sine is negative

Find the value of cosine 

substitute




step 3
Find cos (α + β)

we have




substitute



 
        
             
        
        
        
Answer:
Usual, because the result is between the minimum and maximum usual values.
Step-by-step explanation:
To identify if the value is usual or unusual we're going to use the Range rule of thumbs which states that most values should lie within 2 standard deviations of the mean. If the value lies outside those limits, we can tell that it's an unusual value.
Therefore:
Maximum usual value: μ + 2σ
Minimum usual value: μ - 2σ
In this case:
μ = 153.1
σ = 18.2
Therefore:
Maximum usual value: 189.5
Minimum usual value: 116.7
Therefore, the value of 187 lies within the limits. Therefore, the correct option is D.  Usual, because the result is between the minimum and maximum usual values.
 
        
             
        
        
        
Answer:
No solution
Step-by-step explanation:
So we have the equation: 

First, subtract 20 from both sides: 

Now, we can stop. Recall that absolute value will always <em>always</em> give a positive answer. 
Since this equals -16, this means that there is no solution. 
And we're done!