Answer:
$<em>150,858.5</em>
Step-by-step explanation:
The formula for calculating compound interest is expressed as;
A = P(1+r/n)^nt
P is the Principal = $124000.00
r is the rate = 12% = 0.12
t is the total time = 2 years
n is the time of compounding = 1/4 = 0.25(quarterly)
Substitute into the formula;
A= 124000(1+0.12/(0.25))^(0.25)(2)
A = 124000(1+0.48)^0.5
A = 124000(1.48)^0.5
A = 124000(1.2166)
A = 150,858.5
<em>The amount after 2 years if compounded quarterly is 150,858.5</em>
2/3n + 5 > 12
2/3n > 12 - 5
2/3n > 7
n > 7 * 3/2
n > 21/2 or 10 1/2
ANSWER
B. 10
EXPLANATION
We need to find the value of x first.
It was given that the perimeter of triangle XYZ is 24.
This means that:
XY+YZ+XZ=24
we substitute the expression in terms of x to get;
![(5x - 1) + (13 - x) = 24](https://tex.z-dn.net/?f=%285x%20-%201%29%20%2B%20%2813%20-%20x%29%20%3D%2024)
This implies that
![5x - x = 24 - 13 + 1](https://tex.z-dn.net/?f=5x%20-%20x%20%3D%2024%20-%2013%20%2B%201)
![4x = 12](https://tex.z-dn.net/?f=4x%20%3D%2012)
Divide both sides by 4 to get;
![x = 3](https://tex.z-dn.net/?f=x%20%3D%203)
|WY|=|ZX|=13-3=10