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svetoff [14.1K]
3 years ago
14

The manufacturer wants to an a large an existing manufacturing facilities such that total for areas 1.5 times that of the curren

t facility. The floor area of the current facility is rectangular and measures 300 feet length by 140 feet width. The manufacturer wants to increase each dimension by the same amount. (A) Write a function that represents the new floor area. Use x as the variable. (B) find the dimensions of the new floor. Round your answer to two decimal places. (C) Another alternative is to increase the current floors link to buy an amount that is twice an increase in the floors width. The total floor areas 1.5 times that of the current facility. Repeat parts (a) and (b) using these criteria. Write a function that represents the new floor area a period use x as a variable. Find the dimensions of the new floor. Round your answer to two decimal places.
Mathematics
1 answer:
tatiyna3 years ago
5 0
I think the answer is C
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Step-by-step explanation:

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1)\text{   }N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}

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Explanation:

1) Half-life = 17.5 days

initial amount of Arsenic-74 = 90 mg

To get the equation, we will use the equation of half-life:

\begin{gathered} N_t\text{ = N}_0(\frac{1}{2})^{\frac{t}{t_{\frac{1}{2}}}} \\ where\text{ N}_t\text{ = amount remaining} \\ N_0\text{ = initial amount} \\ t_{\frac{1}{2}\text{ }}\text{ = half-life} \end{gathered}N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}

2) we need to find the remaining amount of Arsenic-74 after 70 days

t = 70

\begin{gathered} N_t=\text{ 90\lparen}\frac{1}{2})^{\frac{70}{17.5}} \\ N_t\text{ = 5.625 mg} \end{gathered}

So after 70 days, 5.625 mg will be left

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I am needing help with this question!!
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The answer is C. y = - 2x - 1

hope that helps!! :)
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