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A rare coin's value, v, in dollars, can be modeled by the function v = 500(1.3)t, where t is the number of years since the coin was purchased. Rewriting the function in which of these ways would be helpful in determining the rate at which the coin is gaining value, per month?

Respuesta :

calculista

Answer:

[tex]v=500(1+0.3)^t[/tex]

The ate at which the coin is gaining value, per month is r=30% or r=0.3

Step-by-step explanation:

we have

[tex]v=500(1.3)^t[/tex]

This is a exponential growth function

The general form of a exponential growth function is given by

[tex]v=a(1+r)^t[/tex]

where

a is the initial value

r is the rate of change

In this problem we have

[tex]1+r=1.3[/tex]

solve for r

[tex]r=1.3-1\\r=0.3\\r=0.3*100=30\%[/tex]

therefore

The new equation is equal to

[tex]v=500(1+0.3)^t[/tex]

The ate at which the coin is gaining value, per month is 30%

gatoballs

Answer:

v=(500)(1.3[tex]\frac{1}{12}[/tex])^12t

Step-by-step explanation:

Since a month is 1 12 of a year, and since t is the product of 1 12 and 12t, this choice is correct.

and I got the answer right on USA Test Prep :)

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