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GalinKa [24]
3 years ago
9

#27 would you try different t values to find H? Or not?

Mathematics
1 answer:
maks197457 [2]3 years ago
6 0

H=H(t) represents the number of households that own ...blah... t years 1996. So H(0) is the number of households in the year 1996; we're told that H(0)=62 (since H is the number of households in millions).

At the end of each year, this number increases by 4.85%, i.e. a factor of 1.0485. This means after 1 year, the number of households is

H(1)=1.0485H(0)\approx65

After 2 years, or 1 year after the first year elapses, the number is

H(2)=1.0485H(1)=1.0485^2H(0)\approx68

After 3 years,

H(3)=1.0485H(2)=1.0485^3H(0)\approx71

and so on, with the general pattern of

H(t)=1.0485^tH(0)\implies\boxed{H(t)=62\cdot1.0485^t}

This is the function you're asked to find.

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Step-by-step explanation:

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Part A:

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