The sum expressed in sigma notation is
.
Solution:
Given series is 22 + 27 + 32 + 37 + 42 + 47.
Write it in the sequence form 22, 27, 32, 37, 42, 47.
First term of the sequence = 22
Common difference = 27 – 22 = 5
This is arithmetic sequence.
term of the arithmetic sequence is





In the given series number of terms is 6.
So n = 1 to 6.
Write n = 1 in the lower of the sigma and 6 in the top of the sigma.

The sum expressed in sigma notation is
.
Answer:
The width of lot B is 11 feet, so option A is correct.
Step-by-step explanation:
Given:
- Two rectangular properties share a common side.
- Lot A is 33 feet wide and 42 feet long.
- The combined area of the lots = 1,848 square feet.
To find:
How many feet wide is Lot B?
Solution:
we know that, area of a rectangle is length x breadth
Then area of lot A = 33 x 42 = 1386 square feet.
And area of lot B = width x 42
Now, we are given that, total area = 1848
area of lot A + area of lot B = 1848
1386 + width x 42 = 1848
width x 42 = 1848 – 1386
width x 42 = 462

width = 11
Hence, the width of lot B is 11 feet, so option A is correct.
Answer:
Opens: Up
Maximum or minimum: Minimum is -4
Describe the translation: A vertical shift of 4 downwards
Simple interest formula
Interest = Pit = $50
P=principal (initial investment)
i=annual interest rate = 0.04
t=time in years = 6 months = 0.5 years
Substitute values,
$50 = P*0.04*0.5
Solve for P
P=$50/(0.04*0.5)=$2500
Answer:
yes
Step-by-step explanation: