Answer:
51÷3 = k
17 =k
Step-by-step explanation:
is means equals
51÷3 = k
17 =k
The perimeter is given by:
P = 2x + 2y = 28
The area is given by:
A = x * y
Writing the area based on x we have:
A (x) = x * (14-x)
Rewriting:
A (x) = 14x-x ^ 2
Deriving we have:
A '(x) = 14-2x
We equal zero and clear x:
14-2x = 0
x = 14/2
x = 7
We are now looking for the other dimension:
y = 14-x
y = 14-7
y = 7
Answer: The length and width of a rectangle that has the given perimeter and a maximum area are:
y = 7 meters
Question
Charlie is a car salesman. He earns $800 plus a 9% commision on all of his sales for the week. If charlie received a paycheck for $1916 this week, how much were his total sales?
Answer:
<h2>
1240</h2>
Step-by-step explanation:
1916 - 800 = 1116 (commissions)
1116 : 9 * 100 =
1240
Answer:
-1,512,390
Step-by-step explanation:
Given
a1 = 15
Let us generate the first three terms of the sequence
For 
Hence the first three terms ae 15, 8, 1...
This sequence forms an arithmetic progression with;
first term a = 15
common difference d = 8 - 15 = - -8 = -7
n is the number of terms = 660 (since we are looking for the sum of the first 660 terms)
Using the formula;
![S_n = \frac{n}{2}[2a + (n-1)d]\\](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%5B2a%20%2B%20%28n-1%29d%5D%5C%5C)
Substitute the given values;
![S_{660} = \frac{660}{2}[2(15) + (660-1)(-7)]\\S_{660} = 330[30 + (659)(-7)]\\S_{660} = 330[30 -4613]\\S_{660} = 330[-4583]\\S_{660} = -1,512,390](https://tex.z-dn.net/?f=S_%7B660%7D%20%3D%20%5Cfrac%7B660%7D%7B2%7D%5B2%2815%29%20%2B%20%28660-1%29%28-7%29%5D%5C%5CS_%7B660%7D%20%3D%20330%5B30%20%2B%20%28659%29%28-7%29%5D%5C%5CS_%7B660%7D%20%3D%20330%5B30%20-4613%5D%5C%5CS_%7B660%7D%20%3D%20330%5B-4583%5D%5C%5CS_%7B660%7D%20%3D%20-1%2C512%2C390)
Hence the sum of the first 660 terms of the sequence is -1,512,390
