Answer: Your answer will be 41.
Step-by-step explanation: All you would need to do to solve is input -2 in for x in the original equation and then solve the subsequent equation. After solving you will get 41.
Answer:
5:7
5/7
5 to 7
10:14 --> 10x2=20 14x2=28
20:28 --> 20x2=40 28x2=56
40:56
Answer:
d. 24,000 at 3% and 8,000 at 5.5%
Step-by-step explanation:
Let the principal for the 3% loan be
and that for the 5.5% loan be
. Let their respective interests be
and
.
Then
![I_a=P_a\times3\%\times4=0.12P_a](https://tex.z-dn.net/?f=I_a%3DP_a%5Ctimes3%5C%25%5Ctimes4%3D0.12P_a)
![I_b=P_b\times5.5\%\times4=0.22P_b](https://tex.z-dn.net/?f=I_b%3DP_b%5Ctimes5.5%5C%25%5Ctimes4%3D0.22P_b)
From the question, the sum of the interests is 4640.
![I_a + I_b = 4640](https://tex.z-dn.net/?f=I_a%20%2B%20I_b%20%3D%204640)
![0.12P_a + 0.22P_b = 4640](https://tex.z-dn.net/?f=0.12P_a%20%2B%200.22P_b%20%3D%204640)
Also, the total amount borrowed is 32000.
![P_a + P_b = 32000](https://tex.z-dn.net/?f=P_a%20%2B%20P_b%20%3D%2032000)
To solve the last two equations simultaneously, multiply the second by 0.12 and subtract from the first (this eliminates
).
![0.10P_b = 800](https://tex.z-dn.net/?f=0.10P_b%20%3D%20800)
![P_b = 8000](https://tex.z-dn.net/?f=P_b%20%3D%208000)
From
,
![P_a = 32000 - P_b = 32000-8000 = 24000](https://tex.z-dn.net/?f=P_a%20%3D%2032000%20-%20P_b%20%3D%2032000-8000%20%3D%2024000)
Hence, $24,000 was borrowed at 3% and $8,000 was borrowed at 5.5%.
Answer:
(-2, 10]
Step-by-step explanation:
ANSWER
![\frac{( {x + 3)}^{2} }{16} - \frac{( {y + 4)}^{2} }{36} > 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28%20%7Bx%20%2B%203%29%7D%5E%7B2%7D%20%7D%7B16%7D%20%20-%20%5Cfrac%7B%28%20%7By%20%2B%204%29%7D%5E%7B2%7D%20%7D%7B36%7D%20%3E%201)
EXPLANATION
The given non-linear function is a hyperbola with equation:
![\frac{( {x + 3)}^{2} }{16} - \frac{( {y + 4)}^{2} }{36} = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28%20%7Bx%20%2B%203%29%7D%5E%7B2%7D%20%7D%7B16%7D%20%20-%20%5Cfrac%7B%28%20%7By%20%2B%204%29%7D%5E%7B2%7D%20%7D%7B36%7D%20%20%3D%201)
Since the boundary lines are dashed lines, the inequality should be either < or >.
Since the outer portion is shaded, the inequality is
![\frac{( {x + 3)}^{2} }{16} - \frac{( {y + 4)}^{2} }{36} > 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28%20%7Bx%20%2B%203%29%7D%5E%7B2%7D%20%7D%7B16%7D%20%20-%20%5Cfrac%7B%28%20%7By%20%2B%204%29%7D%5E%7B2%7D%20%7D%7B36%7D%20%3E%201)