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:
4) the Answer is - 237b + 144
3)The Answer is 42g - 18
Step-by-step explanation:
1. Distributive property first
4) 18 ( 8 - 14b) 5) 6( -3 + 7g) (Here question 5 is solved)
144 -252b -18 +42g or 42g -18.
2. Combine like terms ( in this case only apply to Question 4)
-252b + 15b = -237 b
answer is -237b + 144 or 144 -237b
<em>Hope this helps.</em>
8.25x10^10. assuming you don't need to write it out. if you do. then it is
82,500,000,000
S = a0 / (1 - r)
S is the sum
a0 is the first term
r is the ration
The sum is 2, and the first term is 0.5, so plug in what you know and see what you come up with:
2 = 0.5 / (1 - r)
That's an equation you can solve:
2(1 - r) = 0.5
1 - r = 0.5 / 2 = 0.25
0.75 - r = 0
0.75 = r
Ratio is 0.75.