Answer:
5/10 or 1/2
Step-by-step explanation:
Beth ate 2/10 so 2/10+3/10+2/10=5/10=1/2
To simplify rational expressions, simply see and check if there is a common number or same number that can be divided from in both. If not here, you would simply multiply the numbers together.
Then simplify if you would need to.
It would be 85x/6
Answer:
1. Anne = 21 Bobby=35, 450, 70+40+30=140
Step-by-step explanation:
- 1 21÷3=7
- 7×5=35
- 7-2=250
- 5=250
- 1=50
- 2×50+7×50=100+350=450
- 450
- we can see that it's multiplied by 10, so 70+40+30=140
Answer:
-1.8m + 0.7
Step-by-step explanation:
Invested amount (P) = $300.
Time in years (t) = 2 years.
Balance after 2 years (A) = $329.49.
Let us assume rate of interest = r % compounds annually.
We know, formula for compound interest
![A=P(1+r)^t](https://tex.z-dn.net/?f=A%3DP%281%2Br%29%5Et)
Plugging values in formula, we get
![329.49=300(1+r)^2](https://tex.z-dn.net/?f=329.49%3D300%281%2Br%29%5E2)
![\mathrm{Divide\:both\:sides\:by\:}300](https://tex.z-dn.net/?f=%5Cmathrm%7BDivide%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A%7D300)
![\frac{300\left(1+r\right)^2}{300}=\frac{329.49}{300}](https://tex.z-dn.net/?f=%5Cfrac%7B300%5Cleft%281%2Br%5Cright%29%5E2%7D%7B300%7D%3D%5Cfrac%7B329.49%7D%7B300%7D)
![\left(1+r\right)^2=1.0983](https://tex.z-dn.net/?f=%5Cleft%281%2Br%5Cright%29%5E2%3D1.0983)
Taking square root on both sides, we get
![1+r=\sqrt{1.0983}](https://tex.z-dn.net/?f=1%2Br%3D%5Csqrt%7B1.0983%7D)
![\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}](https://tex.z-dn.net/?f=%5Cmathrm%7BSubtract%5C%3A%7D1%5Cmathrm%7B%5C%3Afrom%5C%3Aboth%5C%3Asides%7D)
![1+r-1=\sqrt{1.0983}-1](https://tex.z-dn.net/?f=1%2Br-1%3D%5Csqrt%7B1.0983%7D-1)
![r=\sqrt{1.0983}-1](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B1.0983%7D-1)
![r=1.048-1](https://tex.z-dn.net/?f=r%3D1.048-1)
r=0.048.
Converting it into percentage by multiplying by 100.
r=0.048 × 100
r = 4.8 %
Therefore, the rate of interest on the account is 4.8% compounds annually.