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This is matching:#1 If solving a problem with population growth compounding CONTINUOUSLY, which of the following formulas would you use?#2 If solving a problem with population growth compounding ANNUALLY, which of the following formulas would you use?#3 If solving a problem with population growth compounding QUARTERLY, which of the following formulas would you use?#4 If solving a problem with continuously compounding interest, which of the following formulas would you use?A: A(t)=P(1+r÷n)^ntB: A(t)=Pe^rtC: P(t)=P0(1+r)^tD: P(t)=P0^e^rt

Respuesta :

#1

The formula for continuous compounding is:

[tex]A(t)=P_{}e^{r\cdot t}[/tex]

#2

Since the population grows compounding annually, we have that:

[tex]P(t)=P_0(1+r)^t[/tex]

#3

For a problem with population growth compounding quarterly, we have to divide the rate between n=4, therefore:

[tex]A(t)=P(1+\frac{r}{n})^{n\cdot t^{}}[/tex]

#4

Finally, for continuously compounded interest we have the formula:

[tex]P(t)=P_0e^{r\cdot t}[/tex]

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