I think he is not correct because there is negative number so it can't be greater than one
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)
To factor quadratic equations of the form ax^2+bx+c=y, you must find two values, j and k, which satisfy two conditions.
jk=ac and j+k=b
The you replace the single linear term bx with jx and kx. Finally then you factor the first pair of terms and the second pair of terms. In this problem...
2k^2-5k-18=0
2k^2+4k-9k-18=0
2k(k+2)-9(k+2)=0
(2k-9)(k+2)=0
so k=-2 and 9/2
k=(-2, 4.5)