Answer:
the ansqer is g(x) = 4^x-4 + 2
The correct expression to convert the 22 AUD into USD is option A.
<h2>
How do you convert the Australian dollars into US dollars?</h2>
Given that the value of 1 US dollar is equal to the value of 2 Australian dollars. We can write this as given below.
1 USD = 2 AUD
1 AUD = 1/2 USD
The 22 Australian dollars can be converted as,
![22 \;\rm AUD = \dfrac {1}{2}\times 22 \;\rm USD](https://tex.z-dn.net/?f=22%20%5C%3B%5Crm%20AUD%20%3D%20%5Cdfrac%20%7B1%7D%7B2%7D%5Ctimes%2022%20%5C%3B%5Crm%20USD)
Hence the correct expression to convert the 22 AUD into USD is option A.
To know more, follow the link given below.
brainly.com/question/19943359.
Solution: We know that formula for continuously compound interest is:
![A= P e^{rt}](https://tex.z-dn.net/?f=%20A%3D%20P%20e%5E%7Brt%7D%20%20)
Where A is the future amount $900 x 2 = $1800
P is the principal investment $900
e is the eular's constant
r is rate of interest 0.09
t is the time ( to be found)
Therefore we have:
![1800=900 \times e^{0.09 \times t}](https://tex.z-dn.net/?f=%201800%3D900%20%5Ctimes%20e%5E%7B0.09%20%5Ctimes%20t%7D%20%20)
![2=e^{0.09 \times t}](https://tex.z-dn.net/?f=%202%3De%5E%7B0.09%20%5Ctimes%20t%7D%20%20)
Taking natural log on both sides
![ln(2)=0.09 \times t](https://tex.z-dn.net/?f=%20ln%282%29%3D0.09%20%5Ctimes%20t%20)
![t=\frac{ln(2}{0.09}](https://tex.z-dn.net/?f=%20t%3D%5Cfrac%7Bln%282%7D%7B0.09%7D%20%20)
![t=7.702](https://tex.z-dn.net/?f=%20t%3D7.702%20%20)
Therefore it will take 7.702 years to double the amount
Solution:
Consider the Given Isosceles Triangle
Considering the Possibilities
Case 1. When two equal angles are of 70°
Let the third angle be x.
Keeping in mind , that sum of Interior angles of Triangle is 180°.
70° + 70° + x= 180°
140° +x= 180°
x= 180°- 140°
x= 40°
Case 2:
When an angle measures 70°, and two equal angles measure x°.
Keeping the same property of triangle in mind, that is sum of interior angles of triangle is 180°.
70° + x° + x° = 180°
⇒ 70° + 2 x° = 180°
⇒ 2 x° = 180° - 70°
⇒ 2 x° = 110°
Dividing both sides by 2, we get
x= 55°
Answer:
2 + (4/3)(2)
2 + 8/3
6/3 + 8/3
14/3 is the answer
Step-by-step explanation: