Answer:
26*26*26 = 17576 ways to select 3 letters
10*10= 100 ways to select 2 numbers
So then the total number of ways are:
 possible ways
 possible ways 
Step-by-step explanation:
For this case we assume that we have 26 letters from A to Z and 10 numbers from 0 to 9 .
And we want to calculate the number of possible passwords possible if the password consists of 3 letters followed by 2 digits.
And for this case we can use the multiplication principle of combinatories, since we don't have any restriction about the letters of the numbers we can have repetition of letters or numbers.
For the number of possible letters:
26*26*26 = 17576 ways to select 3 letters
10*10= 100 ways to select 2 numbers
So then the total number of ways are:
 possible ways
 possible ways 
 
        
                    
             
        
        
        
Answer:
$32.85
Step-by-step explanation: 9.5% of 30 is 2.85
30 + 2.85 = 32.85
 
        
             
        
        
        
9514 1404 393
Answer:
   a) (x³ -x² +x +2) +2/(x+1)
   b) (x² +2x -5) +6/(x+3)
Step-by-step explanation:
Polynomial long division is virtually identical to numerical long division, except that the quotient term does not require any guessing. It is simply the ratio of the leading terms of the dividend and divisor. As with numerical long division, the product of the quotient term and the divisor is subtracted from the dividend to form the new dividend for the next step.
The process stops when the dividend is of lower degree than the divisor.
In part (a), you need to make sure the dividend expression has all of the powers of x present. This means terms 0x³ and 0x² must be added as placeholders in the given dividend. They will become important as the work progresses.
 
        
             
        
        
        
Answer:
option (a) $6,240
Step-by-step explanation:
Given:
Purchasing cost of the equipment = $82,000
Estimated life = 5 years
Salvage value = $4,000
Revised expected life = 8 years
Now, 
Depreciation per year =  
therefore, 
The accumulated Depreciation at the beginning of year 4 
= Annual depreciation × years passed
= 15,600 × 3 
= $46,800
Thus,
The book value at the beginning of year 4 
= Purchasing cost - Depreciation 
= $82,000 - $46,800 
= $35,200
Now,
The remaining life = Revised estimated life - Years passed 
= 8 - 3 
= 5 years
therefore,
Depreciation expense = 
=  
= $6,240
Hence, 
The correct answer is option (a) $6,240
 
        
             
        
        
        
Answer:
The surface area of the prism is 108 square in.