If Kyle has invested $20,000 of the total $160,000 invested, that means the other give investors invested $140,000. Divide the about they invested by the total amount invested, and you will get .875. That is equal to 87.5%. The five investors own 87.5% of the business.
Answer:
(3, 50) and (14,303)
Step-by-step explanation:
Given the system of equations;
y=23x–19 ....1
x²–y= – 6x–23 ...2
Substitute 1 into 2;
x²–(23x-19)= – 6x–23
x²–23x+19= – 6x–23 .
x²-23x + 6x + 19 + 23 = 0
x² - 17x + 42 = 0
Factorize;
x² - 14x - 3x + 42 = 0
x(x-14)-3(x-14) = 0
(x-3)(x-14) = 0
x = 3 and 14
If x = 3
y = 23(3) - 19
y = 69-19
y = 50
If x = 14
y = 23(14) - 19
y = 322-19
y = 303
Hence the coordinate solutions are (3, 50) and (14,303)
Answer:
- <em>The net change in how many bags are on the shelf, from the beginning of Tuesday to the end of Monday is -</em><u>2.</u>
Explanation:
The change in the number of bags any day is the number of bags is equal to the number of bags purchased to restock less the number of bags sold that day.
- Change = bags purchased to restock - bags sold
At the end of <em>Tuesday</em>, the change is:
- Change: 6 - 5 = 1 (note that this means that the number of bags increases by 1)
At the end of <em>Wednesday</em>, the change is:
- Change: 12 - 8 = 4 (the number of bags increases by 4)
At the end of <em>Thursday</em>, the change is:
- Change: 12 - 2 = 10 (the number of bags increases by 10)
At the end of <em>Friday</em>, the change is:
- Change: 18 - 19 = - 1 (the number of bags decreases by 1).
At the end of <em>Saturday</em>, the change is:
- Change: 24 - 22 = 2 (the number of bags increases by 2).
At the end of <em>Sunday</em>, the change is:
- Change: 0 - 15 = - 15 (the number of bags decreases by 15).
At the end of <u>Monday</u>, the change is:
- Change: 0 - 3 = - 3 (the number of bags decreases by 3).
The net change in how many bags are on the shelf, from the beginning of Tuesday to the end of Monday equals the algebraic sum of every change:
- Net change = 1 + 4 + 10 + (-1) + 2 + (-15) + (-3)
- Using associative property: (1 + 4 + 10 + 2) - (1 + 15 +3)
- Simplifying: 17 - 19 = -2
<u>Conclusion</u>: the net change in how many bags are on the shelf, from the beginning of Tuesday to the end of Monday is -2, meaning that the number of bags, after taking into account all sales and restock, decreases by 2.
Answer:
sin(R)=6/sqrt(97)
Step-by-step explanation:
Sine is opposite/hypotenuse
If you want to know what the angle is, Angle R= about 37.5
Hope this helps
