Given:
The given sum is:
![\sum _{k=4}^9(5k+3)](https://tex.z-dn.net/?f=%5Csum%20_%7Bk%3D4%7D%5E9%285k%2B3%29)
To find:
The expanded form and find the sum.
Solution:
We have,
![\sum _{k=4}^9(5k+3)](https://tex.z-dn.net/?f=%5Csum%20_%7Bk%3D4%7D%5E9%285k%2B3%29)
The expanded form of given sum is:
![\sum _{k=4}^9(5k+3)=(5(4)+3)+(5(5)+3)+(5(6)+3)+(5(7)+3)+(5(8)+3)+(5(9)+3)](https://tex.z-dn.net/?f=%5Csum%20_%7Bk%3D4%7D%5E9%285k%2B3%29%3D%285%284%29%2B3%29%2B%285%285%29%2B3%29%2B%285%286%29%2B3%29%2B%285%287%29%2B3%29%2B%285%288%29%2B3%29%2B%285%289%29%2B3%29)
![\sum _{k=4}^9(5k+3)=(20+3)+(25+3)+(30+3)+(35+3)+(4+3)+(45+3)](https://tex.z-dn.net/?f=%5Csum%20_%7Bk%3D4%7D%5E9%285k%2B3%29%3D%2820%2B3%29%2B%2825%2B3%29%2B%2830%2B3%29%2B%2835%2B3%29%2B%284%2B3%29%2B%2845%2B3%29)
![\sum _{k=4}^9(5k+3)=23+28+33+38+43+48](https://tex.z-dn.net/?f=%5Csum%20_%7Bk%3D4%7D%5E9%285k%2B3%29%3D23%2B28%2B33%2B38%2B43%2B48)
![\sum _{k=4}^9(5k+3)=213](https://tex.z-dn.net/?f=%5Csum%20_%7Bk%3D4%7D%5E9%285k%2B3%29%3D213)
Therefore, the correct option is C.
Answer:
40
Step-by-step explanation:
10% is 4 20% is 8 30% 12 40% is 16, and you keep on adding 4 every 10 percent.
16.95 * .22 = $3.73 Calculate how much off you are getting
16.95 - 3.73 = 13.22 Calculate your total price before tax.
13.22 * .065 = 0.86 Calculate the tax
Now calculate the final price
13.22 + .86 =14.08 Final price
Answer:
x = 18
Step-by-step explanation:
Given two intersecting chords inside a circle, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
7x = 21 × 6 = 126 ( divide both sides by 7 )
x = 18