Two Chemicals React to Form Another Chemical $x(t)=\frac{11\left[1-\left(\frac{2}{3}\right)^{3 t}\right]}{1-\frac{1}{4}\left(\frac{2}{3}\right)^{3 t}}$ Where $x(t)$

question 131

Short Answer

Two chemicals react to form another chemical. Suppose that the amount of chemical formed in time t (in hours) is given by $x(t)=\frac{11\left[1-\left(\frac{2}{3}\right)^{3 t}\right]}{1-\frac{1}{4}\left(\frac{2}{3}\right)^{3 t}}$ where $x(t)$ is measured in pounds.
a. Find the rate at which the chemical is formed when $t=4$ Round to two decimal places.
b. How many pounds of the chemical are formed eventually?

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Definitions:

Government Bonds

Government Bonds are securities issued by governments to borrow money from investors, promising to pay back the principal amount with interest on specified dates.

Money Supply

The overall total of financial resources found in an economy at a given instance.

Excess Reserves

The reserves banks hold over and above the legal requirement set by the central bank, often seen as a precautionary measure.

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An individual bank refers to a financial institution dealing with deposits and loans of consumers and businesses, distinguishing itself by offering personalized banking products and services.