Given that the number of bridges has been modeled by the function:
<span>y=149(x+1.5)^2+489,505
To find the year in which, y=505000 we shall proceed as follows:
From:
</span>y=149(x+1.5)^2+489,505
substituting y=505000 we shall have:
505000=149(x+1.5)^2+489,505
simplifying the above we get:
0=149(x+1.5)^2-15495
expanding the above we get:
0=149x^2+447x+335.25-15495
simplifying
0=149x^2+447x-15159.8
solving the quadratic equation by quadratic formula we get:
x~8.69771 or x~-11.6977
hence we take positve number:
x~8.69771~8.7 years~9 years
thus the year in which the number will be 505000 will be:
2000+9=2009
The answer is A because remember that it's a negative and it's easy to find the answer from there.
i hope this helped and have a wonderful day !
:)
Answer:
B and D
Step-by-step explanation:
5% of 35 can be represented as 5% .
To find equations that make this work, we need to find different ways to represent 5%.
5% can be represented as fraction - over 100. The percentage over 100 will be equal to the percent.
So, . Multiplying by 35 gets us
This means that Choice B is correct.
Another way to represent 5% is as a decimal.
We already know that the fraction form of 5% is . This means that in the decimal, the number 5 will be two place values to the right of the decimal place.
0.<u>0</u><u>5</u>
So the decimal expansion of 5% is 0.05. Multiplyin by 35 get us , so choice D works too.
Hope this helped!
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