By what percent must we decrease the number A to obtain the number 4A/5?

1 answer:

8 0

$\bf \cfrac{4A}{5}\implies \cfrac{4}{5}\cdot A\impliedby \textit{A is being reduced to four fifths} \\\\\\ \stackrel{\textit{let's convert four fifths to percentage}}{\cfrac{4}{5}\cdot 100\implies \cfrac{400}{5}\implies 80}$

so 4/5 of A is really 80% of A then.

since a whole A is 100% of A, 100% - 80% = 20%, A is being reduced by 20%, namely 1/5.

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The answer choice which represents the domain and range of the function h(t) as given in the task content in which case, values are rounded to the nearest hundredth is; Domain: [0, 3.85] and Range: [0, 18.05].

<h3>What are the domain and range of the function as given in the task content?</h3>

It follows from convention that the domain of a function simply refers to the set of all possible input values for that function.

Also, the range of a function is the set of all possible output values for such function.

On this note, by observing the graph in the attached image, it follows that the Domain of the function in discuss is; [0, 3.85].

While the range is the difference between the minimum and maximum height attained and can be computed as follows;

At minimum height, t = 0; hence, h(t) = 0.

At maximum height; h'(t) = 0 where h'(t) = h'(t)=-9.74t+18.75 and hence, t = 1.92.

Hence, h(1.92) = 18.05.

The range is therefore; [0, 18.05].

Read more on domain and range;

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