Mr. Valdez puts $10,000 in a retirement account and does not make any deposits or withdrawals. The table below shows the amount of money in the account after x years.

A 2-column table with 5 rows. The first column is labeled years with entries 0, 10, 20, 30, 40. The second column is labeled amount (dollar sign) with entries 10,000; 16,000; 27,000; 43,000; 70,000.
What values, rounded to the nearest hundredth, complete the exponential regression equation that models the data?



f(x) =
(
)x

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Answer:

The answer on edge. is f(x) =  9,974.73  ( 1.05 )x

Step-by-step explanation

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The value that complete the regression equation is f(x) =  9,974.73  ( 1.05)^x.

How to solve for the value

We have the exponential equation as

[tex]y=ab^{x}[/tex]

a is the initial rate

b is the rate

x is 0

y = 10000

When substituted the rate is given as

f(x) =  9,974.73  ( 1.05 )x

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