The series as represented in the task content is divergent and hence; diverges.
<h3>What convergence and divergence in series?</h3>
It follows from the task content that the series defined by the summation expression as represented above is to be identified as divergent or convergent.
It is noteworthy to know that;
If a sequence converges, it means that the limit of the sequence exists as n → ∞. Also, if the limit of the sequence as n → ∞ does not exist, Then, such series is said to diverges.
Therefore, by evaluation as the limit of the expression k sin²k / 1 + k³ as k → ∞ is; Undefined and hence does not exist.
Read more on convergence and divergence of series;
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Answer:
10
Step-by-step explanation:
The current probability of picking a red ball is  . When 5 more balls are added, the probability is 3/4. We can write a ratio for this problem:
. When 5 more balls are added, the probability is 3/4. We can write a ratio for this problem:

When using cross multiplication to solve this, you get 3 * 20 = 4(x+5).
60 = 4x + 20
40 = 4x
x = 10 red balls
 
        
             
        
        
        
Answer: answer 40.
Step-by-step explanation:
Note : lets make x the missing denominator.
I would take the 4/5 and set it equals to 32/x 
 we then cross multiply 
where it would be 4 * x = 32  * 5
 it would then be 4x = 160
we would then divide 160 by 4
x = 160/ 4
 and x would be 40
.... therefore the missing denominator is 40.
 
        
                    
             
        
        
        
The remaining money will be $62. 65 billion
<h3>What will be the remaining fund in FDIC?</h3>
Given amount =$67. 8 billion
Amount used to cover several failed banks = 7.6% of the total amount
So the amount used to cover several failed banks=  

So the remaining amount = 
Thus the remaining money will be $62. 65 billion
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Answer:
the answer is C
Step-by-step explanation:
hope this helps!