Step-by-step explanation:
2x²+3x-2=0
(2x-1)(x+2)
x+2=0
x=-2 (no, because x must be >0)
2x-1=0
2x=1
x=½ (yes, because x>0)
Answer:
153.9 in^2
Step-by-step explanation:
We know that the formula for the area of a circle is:
![A=\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D)
Finding the radius (half the diameter):
![14/2=7](https://tex.z-dn.net/?f=14%2F2%3D7)
Then substitute and solve:
![A=\pi (7)^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20%287%29%5E%7B2%7D)
![A=153.93804](https://tex.z-dn.net/?f=A%3D153.93804)
≈
in^2
Answer:
Step-by-step explanation:
4√6 X 2√2 4√3 16√3 32√3 8√12
Answer:
$97,958.42
Step-by-step explanation:
To solve this problem we can use the compound interest formula which is shown below:
![A=P(1+r )^{t}](https://tex.z-dn.net/?f=A%3DP%281%2Br%20%29%5E%7Bt%7D)
<em>P = initial balance
</em>
<em>r = interest rate
</em>
<em>t = time
</em>
<em>
</em>
First change 6.5% to its decimal form:
6.5% ->
-> 0.065
Next plug in the values:
![A=49,000(1+.065)^{11}](https://tex.z-dn.net/?f=A%3D49%2C000%281%2B.065%29%5E%7B11%7D)
![A=97,958.42](https://tex.z-dn.net/?f=A%3D97%2C958.42)
They have to pay back $97,958.42