A quantity with an initial value of 450 grows exponentially at a rate of 0.4% every 10 years. What is the value of the quantity after 96 years, to the nearest hundredth?

467.58

Step-by-step explanation:

Grows 0.4% --> r = .004

Grows every 10 years: exponent of t/10

where t is in years

Write a function:

f(t) = 450(1+0.004)^t/10

96 years means no time conversion is needed due to years being the only unit in the problem

T = 96

f(96) = 450(1+0.004)^96/10

= 467.580247756

≈467.58

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