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4 years ago

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In 2005, the Summerville Journal had 110,000 subscriptions. The number of subscriptions subsequently decreased by 8% each year.

Write and use an exponential decay function to find the number of subscriptions in 2022

1 answer:

barxatty [35]4 years ago

6 0

Answer:

The number of subscription will be 26,655 in 2022.

Step-by-step explanation:

In 2005, the number subscription is 110,000 and it is decreased at a rate 8% per year.

After 1 year number of subscription is 110,000- 8% of 110,00

=110,000(1-8%)

After 2 years number of subscription is 110,000(1-8%) -8% of 110,000(1-8%)

=110,000(1-8%)(1-8%)

=110,000(1-8%)²

After 2 years number of subscription is 110,000(1-8%)² -8% of 110,000(1-8%)²

=110,000(1-8%)²(1-8%)

=110,000(1-8%)³

....

and so on.

After t year the number of subscription is

$S(t)=110,000(1-8\%)^t$

t= 2022-2005=17 years

$\therefore S(t)=110,000(1+0.08)^{17}$

≈26,655

The number of subscription will be 26,655 in 2022.

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3 years ago

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Step-by-step explanation:

The goal is to express this parabola in its vertex form:

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Compare that expression with the given equation of this parabola. The constant term, the coefficient for $x$ , and the coefficient for $x^2$ should all match accordingly. That is:

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Answer:

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3 years ago