Answer:
d. converges, -25
Step-by-step explanation:
An infinite geometric series converges if the absolute value of the common ratio is less than 1.
Here, the common ratio is 4/5:
| 4/5 | = 4/5 < 1
So the series converges.  The sum of an infinite geometric series is:
S = a₁ / (1 − r)
where a₁ is the first term and r is the common ratio.
Here, a₁ = -5 and r = 4/5:
S = -5 / (1 − 4/5)
S = -25
 
        
             
        
        
        
Answer:
a.) $3.20
b.) $102.40 
$3,276.80
Step-by-step explanation:
0.2 times 2 five times is 3.2 
0.2 times 2 ten times is 102.4
0.2 times 2 fifteen times is 3,276.8
 
        
             
        
        
        
Answer:
0 = 0
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer: There is 162 ml of first brand and 108 ml of second brand.
Step-by-step explanation:
Since we have given that 
Percentage of vinegar that the first brand contains = 7%
Percentage of vinegar that the second brand contains = 12%
Percentage of vinegar in mixture = 9%
Total amount of dressing = 270 ml
We will use "Mixture and Allegation":
First brand                  Second brand
      7%                                12%
                        9%
--------------------------------------------------------
12%-9%             :                9%-7%
  3%                   :                    2%
So, ratio of first brand to second brand in a mixture is 3:2.
So, Amount of first brand she should use is given by

Amount of second brand she should use is given by

Hence, there is 162 ml of first brand and 108 ml of second brand.