Solve
-Solve the Initial Value Problem $\frac { \mathrm { dP } } { \mathrm { dt } } = 7 \mathrm { kP } ^ { 2 } , \mathrm { P } ( 0 ) = \mathrm { P } _ { 0 }$

question 7

Multiple Choice

Solve.
-Solve the initial value problem $\frac { \mathrm { dP } } { \mathrm { dt } } = 7 \mathrm { kP } ^ { 2 } , \mathrm { P } ( 0 ) = \mathrm { P } _ { 0 }$

• A) \(P ( t ) = \frac { 7 P _ { 0 } } { 1 - 7 \mathrm { kP } _ { 0 } t }\)
• B) \(\mathrm { P } ( \mathrm { t } ) = \frac { \mathrm { P } _ { 0 } } { 1 - 7 \mathrm { kP } _ { 0 } \mathrm { t } }\)
• C) \(\mathrm { P } ( \mathrm { t } ) = \frac { \mathrm { P } _ { 0 } } { 7 - 7 \mathrm { kP } _ { 0 } \mathrm { t } }\)
• D) \(\mathrm { P } ( \mathrm { t } ) = \frac { \mathrm { P } _ { 0 } } { 1 - \mathrm { kP } _ { 0 } \mathrm { t } }\)

Calculate the present value of future cash flows at different interest rates.

Understand the impact of interest rate changes on the present value of future cash flows.

Analyze investment decisions using NPV methodology.

Understand the role of vigilant investors in the economy.

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