Solve the Problem $\mathrm { f } ( \mathrm { t } ) = \frac { 56,000 } { 1 + 1865.7 \mathrm { e } ^ { - 1.9 \mathrm { t } } }$

question 183

Multiple Choice

Solve the problem.
-The logistic growth function $\mathrm { f } ( \mathrm { t } ) = \frac { 56,000 } { 1 + 1865.7 \mathrm { e } ^ { - 1.9 \mathrm { t } } }$ models the number of people who have become ill with a particular infection t weeks after its initial outbreak in a particular community. How many people were ill after 6 weeks?

• A) 54,854 people
• B) 56,000 people
• C) 180 people
• D) 57,867 people

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Definitions:

Annual Coupon Bond

A bond that pays interest to the holder annually until maturity, when the face value is also paid back.

Face Value

The maturity value of a bond. Also known as par value of bond.

Yield Curve

A graph showing the relationship between bond yields and their maturity dates, which can indicate economic expectations.

Liquidity Premium

Forward rate minus expected future short interest rate.