Answer: She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.
Step-by-step explanation:
Let P be the initial amount she invested in an account that pays 6% interest.
Then, amount invested in other account = 2P
Simple interest = Principal x rate x time
After one year, for the first account,
Interest = P(0.06)(1) = 0.06P
For second account,
Interest = (2P)(0.07)(1)=0.14P
Total interest = ![0.06P+0.14P=1000](https://tex.z-dn.net/?f=0.06P%2B0.14P%3D1000)
![\Rightarrow\ 0.20P=1000\\\\\Rightarrow\ P=\dfrac{1000}{0.20}\\\\\Rightarrow\ P=5000](https://tex.z-dn.net/?f=%5CRightarrow%5C%200.20P%3D1000%5C%5C%5C%5C%5CRightarrow%5C%20P%3D%5Cdfrac%7B1000%7D%7B0.20%7D%5C%5C%5C%5C%5CRightarrow%5C%20P%3D5000)
2P = 2(5000)=10000
Hence, She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.
Answer: The answer is (b) Neither I nor II.
Step-by-step explanation: We are given two equations and we need to find which is true. Since it is a simple algebraic question, so we just need to follow BODMAS rule to check the equations.
The equations are as follows -
![(I)~~L.H.S=(\dfrac{32}{8}-2)6=(4-2)6=2\times 6=12.](https://tex.z-dn.net/?f=%28I%29~~L.H.S%3D%28%5Cdfrac%7B32%7D%7B8%7D-2%296%3D%284-2%296%3D2%5Ctimes%206%3D12.)
![R.H.S=(32-1)2=31\times 2=62.](https://tex.z-dn.net/?f=R.H.S%3D%2832-1%292%3D31%5Ctimes%202%3D62.)
Since L.H.S ≠ R.H.S, so this equation is not correct.
![(II)~~L.H.S=\dfrac{72}{9\times 4}=2.](https://tex.z-dn.net/?f=%28II%29~~L.H.S%3D%5Cdfrac%7B72%7D%7B9%5Ctimes%204%7D%3D2.)
![R.H.S=\dfrac{62}{6+3}=\dfrac{62}{9}.](https://tex.z-dn.net/?f=R.H.S%3D%5Cdfrac%7B62%7D%7B6%2B3%7D%3D%5Cdfrac%7B62%7D%7B9%7D.)
Since L.H.S ≠ R.H.S, so this equation is also not correct.
Thus, the correct option is (b) Neither I nor II.
Answer: no both, 3.61^2 and 3.62^2 are greater than 13
Step-by-step explanation:
Answer:
f(x) = –x2
Step-by-step explanation:
mhmhmhmhmhmhmhmhmhmhmhmhmhmhmhmhmhmhmh...
Answer: x=3
Step-by-step explanation:
7+5(x-2)=12
Open bracket
7+5x-10=12
Collect like terms
5x-3=12
5x=12+3
5x=15
X=15/5
X=3