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help_people
 one year ago
@skullpatrol
help_people
 one year ago
@skullpatrol

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help_people
 one year ago
Best ResponseYou've already chosen the best response.0The number of subscribers y to a magazine after t years is shown by the equation below: y = 95(0.75)t Which conclusion is correct about the number of subscribers to the magazine? It increased by 25% every year. It decreased by 25% every year. It increased by 75% every year. It decreased by 75% every year.

help_people
 one year ago
Best ResponseYou've already chosen the best response.0i bleive this one is d

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Is t an exponent?

help_people
 one year ago
Best ResponseYou've already chosen the best response.0yes t is an expontnet @mathstudent55

help_people
 one year ago
Best ResponseYou've already chosen the best response.0ok @skullpatrol jstu to clarify d is wrong?

help_people
 one year ago
Best ResponseYou've already chosen the best response.0based on what you are showing me it is increasing

skullpatrol
 one year ago
Best ResponseYou've already chosen the best response.0$$\Huge y = 95(0.75)^t$$

skullpatrol
 one year ago
Best ResponseYou've already chosen the best response.0is that^ the equation?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Calculate the function for t = 0. \(y = 95(0.75)^0 = 95 \times 1 = 95\) At t = 0, the initial numbers of subscribers is 95. Now let's calculate y for t = 1, at the end of 1 year. \(y = 95(0.75)^1 = 95 \times 0.75 = 71.25\) At t = 1, the end of the first year, the number of subscribers is 71.25. Now calculate the percent decrease from 95 to 71.25: \(percent~change = \dfrac{71.25  95}{95} \times 100 = 25\%\) A negative percent change is a decrease. The decrease is 25% per year.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1This problem can be solved without graphs or any calculations. All you need to do is to compare the equation you were given with the growth/decay formula: \(F = P(1 + r)^t\) where F = future amount, P = present amount r = rate of increase or decrease t = time in years If r is a rate of increase, then r is positive. A negative r means a rate of decrease. Now let's compare this formula with your given equation. \(y = 95(0.75)^t\) must fit into \(F = P(1 + r)^t\), then you get \(y = 95[1 + (0.25)]^t\) Notice that to have 1 + r in the parentheses, you need to write 0.75 as 1 + (0.25). This clearly shows that the rate is 25% decrease annually.
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