Alright, let's factor this to get the answer.
3k^2-10k+7
To find the factors, we want to think "What will add up to -10, and multiply to (+)7?"
Because the leading coefficient is 3, we know that we can take one factor of 7 and multiply it by 3.
Thus, this factors to
(3k-7)(k-1)
(if you FOIL it it should come out to be the original equation)
From this, set both of those [(3k-7) and (k-1)] equal to zero and solve
3k-7=0
3k=7
/3
k=7/3
or
k=1
        
             
        
        
        
Answer: $14.85
Step-by-step explanation:
 
        
             
        
        
        
Answer:
a.) 4 half lives have passed
b) 9.388 minutes
Step-by-step explanation:
Formula for exponential growth / decay is given as:

Where  is the final population
 is the final population
 is the initial population
 is the initial population
 is the growth factor
 is the growth factor
 is the time taken for the growth 'b'
 is the time taken for the growth 'b'
 is the amount of time
 is the amount of time
Here, we are given that:
 = 6. 9 grams
 = 6. 9 grams
 = 110.4 grams
 = 110.4 grams

 min
 min
To find:
a.) Number of half lives taken for the decay.
b.) Total time in the decay.
Solution:
a.) Number of half lives taken for the decay is nothing but equal to  .
.
Putting the values in the formula, we get:

Therefore, the answer is:
<em>4 half lives </em>have passed.
b.) Total time of decay. We have to find the value of  here.
 here.
From answer of part a.):

 
        
             
        
        
        
Answer:
Remaining credit = $11.36 [11 dollars and 36 cents]
 
        
             
        
        
        
1/8 divided by 3/4 is (1/8) / (3/4). When you divide fractions, you flip the 2nd number and change the divide into multiply. So (1/8)*(4/3). Multiply top by top and bottom by bottom to get 4/24. That simplifies to 1/6