Answer: Liza invested $15000 at 3% and $30,000 at 4%
Step-by-step explanation:
Let x be the amount invested by Liza at 3% interest then the amount she invested in 4% interest will be 2x.
We know that the compound interest with principal P is give By
, where n is the number of period.
Now, interest earned in 3% (in decimal 0.03) account in 1 year is given by:-
![I_1=x[(1+0.03)^1-1]\\\Rightarrow\ I_1=x[0.03]\\\Rightarrow\ I_1=0.03x](https://tex.z-dn.net/?f=I_1%3Dx%5B%281%2B0.03%29%5E1-1%5D%5C%5C%5CRightarrow%5C%20I_1%3Dx%5B0.03%5D%5C%5C%5CRightarrow%5C%20I_1%3D0.03x)
Similarly, interest earned in 4% (in decimal 0.03) account in 1 year is given by:-
![I_2=2x[(1+0.04)^1-1]\\\Rightarrow\ I_2=2x[0.04]\\\Rightarrow\ I_2=0.08x](https://tex.z-dn.net/?f=I_2%3D2x%5B%281%2B0.04%29%5E1-1%5D%5C%5C%5CRightarrow%5C%20I_2%3D2x%5B0.04%5D%5C%5C%5CRightarrow%5C%20I_2%3D0.08x)
According to the question,
![I_1+I_2=1650\\\Rightarrow\ 0.03x+0.08x=1650\\\Rightarrow\ 0.11x=1650\\\Rightarrow\ x=15000](https://tex.z-dn.net/?f=I_1%2BI_2%3D1650%5C%5C%5CRightarrow%5C%200.03x%2B0.08x%3D1650%5C%5C%5CRightarrow%5C%200.11x%3D1650%5C%5C%5CRightarrow%5C%20x%3D15000)
Also, 2x=2(15000)=30000
Therefore, Liza invested $15000 at 3% and $30,000 at 4% .
Answer:
Jenny Question Answer: 4 over 50
Jake Question Answer: 20 beads are red
Step-by-step explanation:
Jenny: She pulled a purple tile 4 times when there is 50 tiles in the bag
Jake: 6 of the 15 beads are red. 6/15 = 2/5 = 40% are red. Take the percent times the total number of beads. 40 * 50 = 20.
20 of the beads are red
I hope I helped, please correct me if I'm wrong!