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## To calculate the future value of John's earnings over three years, we need to use the compound interest formula:

A = P(1 + r/n)^(nt)

where:

A = the future value of the investment

P = the principal amount (initial deposit)

r = annual interest rate (as a decimal)

n = number of times interest is compounded per year

t = number of years

In this case:

P = John's monthly earnings = $400

r = 5.9% = 0.059 (as a decimal)

n = 12 (compounded monthly)

t = 3 years

Plugging in these values into the formula, we get:

A = 400(1 + 0.059/12)^(12*3)

= 400(1 + 0.0049167)^(36)

â‰ˆ 400(1.0049167)^36

Calculating the exponential term, we get:

A â‰ˆ 400(1.1790645)

A â‰ˆ $471.63

After three years of consistently depositing $400 each month, John will have approximately $471.63 in his account.