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%.
The answer should be: B) at least 84
*HOPE I HELPED!* :)
The angle measurements of a triangle add up to be 180
Q+R+S=180
Q+(60)+(20)=180
Q+80=180
Q=100
your answer is B. 100
Step-by-step explanation:
Ok
Had to solve in the comment section because I couldn't find the answer button before. It Just appeared Lol.
You can still check the solution in the first guy's comment section
d=vt will represent the Motion of Both persons
for Karen
d=59t
for Ricardo
d=65t
They're both 279miles away from each other
Meaning
Dk + Dr = 279
59t + 65t = 279
124t=279
t=279/124
t= 2.25hrs.
You can change to seconds if thats how the answer waa presented.