Answer:
\simeq 14.94 billion dollars
Step-by-step explanation:
During the period 1994 - 2004, the 'National Income' ,(NI) of Australia grew about 5.2% per year (measured in 2003 U. S, dollars). In 1994 , the NI of Australia was $ 4 billion.
Now,
(2020 - 1994) = 26
Assuming this rate of growth continues, the NI of Australia in the year 2020 (in billion dollars) will be,
![4 \times[\frac{(100 + 5.2)}{100}}]^{26}](https://tex.z-dn.net/?f=4%20%5Ctimes%5B%5Cfrac%7B%28100%20%2B%205.2%29%7D%7B100%7D%7D%5D%5E%7B26%7D)
=![4 \times[\frac{105.2}{100}]^{26}](https://tex.z-dn.net/?f=4%20%5Ctimes%5B%5Cfrac%7B105.2%7D%7B100%7D%5D%5E%7B26%7D)
=\simeq 14.94 billion dollars (answer)
Group and factor/undistribute
(x^2y^3-2y^3)+(-2x^2+4)
(y^3)(x^2-2)+(-2)(x^2-2)
see the (x^2-2) is common term so undistribute
(x^2-2)(y^2-2)
last one
2a + 3b = 6 --> Equation 1
5a + 2b = 4 --> Equation 2
Equation 1 * 5 --> 10a + 15b = 30
Equation 2 * 2 --> 10a + 4b = 8
Equation 1 - Equation 2 --> 11b = 22 --> b = 2
Sub b=2 in Equation 1 (or 2, either works):
2a + 3b = 6
2a + 3(2) = 6
2a + 6 = 6
2a = 0
a = 0
b = 2, a = 0
Answer:
Step-by-step explanation:
Remark
The way this is worded, it sounds like it is a horizontal distance. However by the marking it looks like they want the hypotenuse. Life can be very confusing sometimes.
The angle of the triangle that you need to know is the one on the right. The line of sight line is parallel to the base of the triangle. So the angle on the right is 8 degrees by the Z theorem.
Solution
Sin(8) = 1817 / x Multiply both sides by x
x*sin(8) = 1817 Divide by sin(8)
x = 1817/sin(8)
sin(8) = 0.1392
x = 1817/0.1392
x = 13055.7
Note
Watch how you do this. I would put it into your calculator as
1817
÷
sin(8)
=
If you use the rounded answer I gave for sin(8), you might get it wrong. This is a big distance and you should just use the exact number you get for sin(8).
i)50
<u>Steps</u>
30+20=50
ii)7
<u>Steps</u>
75-(30+20)-18
=75-(50)-18
=7
iii)20
<u>Steps</u>
From the available data from the question
iv)30
<u>Steps</u>
From the available data from the questionl
v)From the attcged image file