Hey!
------------------------------------
We Know:
$220 per week.
$0.15 per mile you drive.
------------------------------------
Solution:
325 - 220 = 105
105 / 0.15 = 700
------------------------------------
Answer:
You can drive 700 miles in one week for $325!
------------------------------------
Hope this helped! Good Luck ;)
The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
#SPJ1
Answer:
The farmers were happy because the botanist (plant scientist) said their grape and wheat fields would have plentiful yields this coming harvest.
Let's named variables as M,J and R
The equation is M+J+R=74
We will represent M with J => M=J+6 and R=2J
when we replace in the equation we get
J+6+J+2J=74 => 4J=74-6 => 4J=68 => J=68/4 = 17
J=17 => M=6+17 => M=23 and R=2* 17 => R=34
Final answer is
Juan served 17 orders
Melissa served 23 orders and
Rafael served 34 orders
Good luck!!!!
The sum telescopes to
(1 - 1/3) + (1/3 - 1/5) + ... + (1/199 - 1/201) = 1 - 1/201 = 200/201.
