Answer:
No helping that I'm sorry
Step-by-step explanation:
76 is the answer, I put the answer in the photo below also!
12/x=6/7 answer: x=14
6x/4=8/12 answer x = 0.4444444444
7/x+13=4/12 answer x=8
y+5/y=10/8 answer y=20
Answer: She invest 41500 at 7% interest and 900 at 11% interest.
Step-by-step explanation:
Formula for simple interest = ![\dfrac{\text{Principal x rate x Time}}{100}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BPrincipal%20x%20rate%20x%20Time%7D%7D%7B100%7D)
Let ![P_1=\$1500,\ P_2=\$900\ \ \ \ , r_1=r, \ \ r_2=r+4,\ \ \ t_1=t_2=1](https://tex.z-dn.net/?f=P_1%3D%5C%241500%2C%5C%20P_2%3D%5C%24900%5C%20%5C%20%5C%20%5C%20%2C%20r_1%3Dr%2C%20%5C%20%5C%20r_2%3Dr%2B4%2C%5C%20%5C%20%5C%20t_1%3Dt_2%3D1)
Simple interest by first investment = ![\dfrac{P_1r_1t_1}{100}=\dfrac{1500(r)(1)}{100}=15r](https://tex.z-dn.net/?f=%5Cdfrac%7BP_1r_1t_1%7D%7B100%7D%3D%5Cdfrac%7B1500%28r%29%281%29%7D%7B100%7D%3D15r)
Simple interest by second investment = ![\dfrac{P_2r_2t_2}{100}=\dfrac{900(r+4)(1)}{100}=9(r+4)](https://tex.z-dn.net/?f=%5Cdfrac%7BP_2r_2t_2%7D%7B100%7D%3D%5Cdfrac%7B900%28r%2B4%29%281%29%7D%7B100%7D%3D9%28r%2B4%29)
As per given,
Total interest = $204
![\Rightarrow 15r+9(r+4)=204\\\\\Rightarrow\ 15r+9r+36=204\\\\\Rightarrow\ 24r=204-36\\\\\Rightarrow\ 24r=168\\\\\Rightarrow\ r=\dfrac{168}{24}\\\\\Rightarrow\ r=7\%](https://tex.z-dn.net/?f=%5CRightarrow%2015r%2B9%28r%2B4%29%3D204%5C%5C%5C%5C%5CRightarrow%5C%2015r%2B9r%2B36%3D204%5C%5C%5C%5C%5CRightarrow%5C%2024r%3D204-36%5C%5C%5C%5C%5CRightarrow%5C%2024r%3D168%5C%5C%5C%5C%5CRightarrow%5C%20r%3D%5Cdfrac%7B168%7D%7B24%7D%5C%5C%5C%5C%5CRightarrow%5C%20r%3D7%5C%25)
Hence, she invest 41500 at 7% interest and 900 at 11% interest.