A quantity with an initial value of 800 grows continuously at a rate of 4.5% per year. What is the value of the quantity after 96 months, to the nearest hundredth?

Respuesta :

The value of the quantity after 96 months, to the nearest hundredth is 1146.66

Exponential equations

The standard expression for an exponential equation is expressed as:

P(t) = P0e^rt

Given the following parameters

Po = 800

rate r = 4.5% = 0.045

time t = 8 years

Substitute

P(8) = 800e^0.045(8)
P(8) = 1146.66

Hence the value of the quantity after 96 months, to the nearest hundredth is 1146.66

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