The series in the form of arithmetic progression
The notation of A.P is a, a+d, a+2d.....
The summation notation is â‘
In this series a=3, d=7
Then the summation of A.P is â‘ = n/2(2a+(n-1)d)
=18/2(2*3+ (18-1)7)
= 9(6+17(7))
=9(6+119)
=9(125)
= 1125
Hence the total number of beads is 1125
Answer:
Cost of Trumpets: $174
Cost of Clarinets: $149
Cost of Violins: $89
Step-by-step explanation:
Got it correct
Let x represent side opposite to highway and y represent other two opposite sides as shown in the diagram.
The perimeter of the parking lot will be sum of 3 sides that is
.
We have been given that the plan is to use 440 feet of fencing to fence off the other three sides. This means that perimeter of 3 sides is 440.


We know that area of rectangle is length times width, so area of parking lot will be 
Upon substituting value of x, we will get:


Now we will find the derivative of area function as:


Let us find critical point by equating derivative to 0.




Now we will substitute this value is equation
to solve for x as:


Therefore, the dimensions of 220 feet by 110 feet will enclose the maximum area.