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Verified Answer :

The investment amount after one year 25000(1.03)
The growth factor is 1.03

Answer:

1.03

Step-by-step explanation:

We have been given that an investment of $25,000 grows in value at a rate of 3% per year. We are asked to find the growth factor for the given investment.

We will use exponential growth function to solve our given problem.

\(y=a\cdot b^x\), where,

a = Initial value,

b = For growth factor b is in form (1+r), where, r represents rate in decimal form.

Let is convert our given rate in decimal form.

\(3\%=\frac{3}{100}=0.03\)

Upon substituting our given values in exponential growth formula, we will get

\(y=\$25,000(1+0.03)^x\)

\(y=\$25,000(1.03)^x\)

Therefore, the growth factor of our given investment is 1.03.