Answer:

Step-by-step explanation:
In the geometric series:

The nth term of the geometric sequence can be calculated using formula

In your case, n = 10, then

Answer:
Plates are 2.80 Dollars and cups are 1.40 dollars
Step-by-step explanation:
Cups = c
Plates = p
6p + 5c = 23.80 ==> multiply by 6 ==> 36p + 30c = 142.80
7p + 6c = 28.00 ==> multiply by 5 ==> 35p + 30c = 140.00
Now use algebra to have the 30c be on one side and the rest on the other:
36p + 30c = 142.80 | -36p
30c = 142.80 - 36p
35p + 30c = 140.00 | -35p
30c = 140.00 - 35p
Now set them equal to each other about the 30c:
142.80 - 36p = 140.00 - 35p
Use algebra to solve for p:
142.80 - 36p = 140.00 - 35p | +36p
142.80 = 140.00 + p | - 140
2.80 = p
Go back to one of the "30c" equations and plug in the value for p:
30c = 140 - 35p
30c = 140 - 35(2.80)
30c = 140 - 98
30c = 42 | /30
c = 42/30
c = 1.4
If your choices are the following:
A.<span> $1,350
B. $1,536
</span>C.<span> $1,653
</span>D.<span> $5,163
</span>E.<span> None of these
</span>
Then the answer is B. $1,536.
Solution:
<span>$60,000 x .0256
</span>=<span>1,536</span>