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swat32
3 years ago
9

The amount of money in a bank account with an initial balance of $15,000 earns 3% per year. In the exponential model of the form

y=A•B^x. Which value would represent the value of b in the function ?
Mathematics
2 answers:
oksian1 [2.3K]3 years ago
8 0
1.03=b this makes sense because it increases 3 percent so you add 1 to .03

Temka [501]3 years ago
3 0

Answer:

The value of b in the function is 1.03.

Step-by-step explanation:

A function that models exponential growth grows by a rate proportional to the amount present. For any real number x and any positive real numbers a and b such that b\neq 1, an exponential growth function has the form

                                           f(x)=ab^x

where

  • <em>a</em> is the initial or starting value of the function.
  • <em>b</em> is the growth factor or growth multiplier per unit x.

We know that the amount of money in a bank account with an initial balance of $15,000 earns 3% per year. So each year we have all of the previous earnings plus 3% more of those earnings (100% + 3% more).

Therefore,

The value of b in the function is b=1+0.03=1.03.

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