Answer:
x = 3
Step-by-step explanation:
Given the linear equation :
1/4(x-5)+4=1/3(2x+7)-5/6
(x-5)/4 + 4 = (2x+7)/3 - 5/6
Take the lcm and sum
(x-5+16)/4 = (4x+14-5)/6
(x+11)/4 = (4x+9)/6
Cross multiply
6(x+11) = 4(4x+9)
6x + 66 = 16x + 36
Collect like terms
6x - 16x = 36 - 66
-10x = - 30
x = 30/10
x = 3
Answer:
5.13%.
Step-by-step explanation:
Amount accumulated in 1 year
= 1600(1 + 0.05/360)^360
= $1682.03
Account's effective annual yield
= 82.03 * 100 / 1600 %
= 5.13%.
Answer:
The correct matrices are:
Matrix:
7 1 5
1 5 7
5 7 1
all diagonal elements of A^2 are: 7^2 + 1^2 + 5^2
Matrix:
9 18 27
27 -9 18
18 27 9
all diagonal elements of A^2 are: 9^2 + 27*18 + 18*27 or (-9)^2
Matrix:
8 1 6
6 8 1
1 6 8
all diagonal elements of A^2 are: 8^2 + 6*1 + 1*6
We can do this by using either long division or synthetic. I will use synthetic because it saves time. 6x^3-37x^2+32^x+15.