Substitute y = -x into the first equation:
-8x - 7(-x) = -5
-8x + 7x = -5
-x = -5
x = 5
Substitute x = 5 into y = -x
y = -(5)
y = -5
Answer: x = 5, y = -5
Angle is 90°
The sector is 1/4 th of circle
Area of sector
Triangle is right angled
Area
Area of unshaded region
- 4π-8
- 4(π-2)
- 4(3.14-2)
- 4(1.14)
- 4.56in²
24 dollars.
1/4 + 1/3 = 3/12 + 4/12 = 7/12
7/12 a + 8 = 22
7/12 a = 14
a = 14 x 12/7
a = 24 dollars
9514 1404 393
Answer:
C ≈ 0.00106455765168
Step-by-step explanation:
This is the sum of 13 terms of the geometric series that has 10000C/1.05 as the first term and a common ratio of 1/1.05. The sum S is given by ...
S = a1(1 -r^n)/(1 -r) . . . . a1 is the first term, r is the common ratio
Using the known values, we have ...
100 = (10000C/1.05)(1 -1.05^-13)/(1 -1/1.05))
0.01 = C(1 -1.05^-13)/0.05
C = 0.0005/(1 -1.05^-13) ≈ 0.0005/0.469679
C ≈ 0.00106455765168