Respuesta :

continu
A=Pe^(rt)
A=future amount
P=present amount
r=rate
t=time
A=900e^(0.03*13)
A=900e^0.36
A=$1329.28

Answer: $1329.28

Step-by-step explanation:

Given : The principal amount : [tex]P=\$900[/tex]

Time period : [tex]t=13\text{ years}[/tex]

Rate of interest : [tex]r=0.03[/tex]

The formula to find the compound amount ( if compounded continuously ) is given by :-

[tex]A=Pe^{rt}[/tex]

i.e.[tex]A=(900)e^{0.03\times13}=900(1.47698079388)[/tex]

[tex]=1329.28271449\approx1329.28[/tex]

Hence, the compound amount after 13 years will be $1329.28.