Answer:
A.
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the Australian dollar weakens by 5% over the next year, then the A. L will need 5% more Australian dolar to buy Japanese yen. Calculate exchange rate after oe year as follows:
![\yen/AUD=(\yen67.72/AUD)\times (\right \frac{1.00}{1.00+0.05})\left\\\\=\yen64.495/AUD](https://tex.z-dn.net/?f=%5Cyen%2FAUD%3D%28%5Cyen67.72%2FAUD%29%5Ctimes%20%28%5Cright%20%5Cfrac%7B1.00%7D%7B1.00%2B0.05%7D%29%5Cleft%5C%5C%5C%5C%3D%5Cyen64.495%2FAUD)
Thus, the exchange rate over the next year is ¥64.495/AUD
Answer:
12 cups.
Step-by-step explanation:
Let x be the total cups of strawberries picked by Margo.
We have been given that Margo freezes 8 cups of strawberries and this is 2/3 of the total strawberries that she picked.
We need to find x such that 2/3 of x equals 8. We can represent this information in an equation as:
![\frac{2}{3}x=8](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Dx%3D8)
Let us multiply both sides of our equation by 3.
![3*\frac{2}{3}x=3*8](https://tex.z-dn.net/?f=3%2A%5Cfrac%7B2%7D%7B3%7Dx%3D3%2A8)
![2x=24](https://tex.z-dn.net/?f=2x%3D24)
Let us divide both sides of our equation by 2.
![\frac{2x}{2}=\frac{24}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B24%7D%7B2%7D)
![x=12](https://tex.z-dn.net/?f=x%3D12)
Therefore, Margo picked 12 cups of strawberries.
Answer:
![(-\infty,+\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%2B%5Cinfty%29)
Step-by-step explanation:
The given inequality is 3x-2>4 or ![5x-3\leq 7](https://tex.z-dn.net/?f=5x-3%5Cleq%207)
We group similar terms to obtain: 3x>4+2 or ![5x\le7+3](https://tex.z-dn.net/?f=5x%5Cle7%2B3)
Simplify to get:
3x>6 or ![5x\le10](https://tex.z-dn.net/?f=5x%5Cle10)
x>2 or ![x\le 2](https://tex.z-dn.net/?f=x%5Cle%202)
This implies that the solution set is all real numbers.
The solution in interval notation is ![(-\infty,+\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%2B%5Cinfty%29)