Two Chemicals React to Form Another Chemical Where $x ( t )$

question 44

Essay

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:

Yield To Maturity

The total return anticipated on a bond if the bond is held until it matures, accounting for its current market price, par value, coupon interest rate, and time to maturity.

Current Yields

The annual income (interest or dividends) from an investment divided by the current price of the security, expressed as a percentage.

Par Value

The nominal or face value of a bond, share of stock, or other financial instruments, as stated by the issuing company.

Yield To Maturity

The total return anticipated on a bond if the bond is held until the date of its maturity, considering all payments from the time of purchase to maturity.