-31/15 is the correct answer
Answer:
2x² + 4x
Step-by-step explanation:
= (3 - 1)(x + 2)(x)
= (2)(x + 2)(x)
= (2x + 4)(x)
= 2x² +4x
Given:
The number of sides of given polygon = 4
To find the sum of the interior angles of the polygon.
Formula
The sum of interior angles of any polygon is

where, n be the number of sides of the polygon.
Now,
Taking n = 4 we get,

or, 
or, 
Hence,
The sum of the interior angles of the polygon is 360°.
remember that to put a number in scientific notation is necessary to have the first digit of the number different to 0, so

to calculate the order of magnitude, if the number is greater than 3.16, we assume it as a 10, so in this case as 7.654 > 3.16 we get that the order is

So the order is 10^-3
Answer:
<u>The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Cost of the TV set in 1999 = US$ 400
Annual increase rate = 2% = 0.02
2. Write an exponential model to represent this data.
Cost after n years = Cost in 1999 * (1 + r)ⁿ
where r = 0.02 and n = the number of years since 1999
Replacing with the real values for 2020, we have:
Cost after 21 years = 400 * (1 + 0.02)²¹
Cost after 21 years = 400 * 1.5157
Cost after 21 years = $ 606.28
The TV set costs $ 606.28 in 2020.
<u>The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ</u>