The amount Howie will pay back at the end of one year is $26000.00
The given parameters are:
[tex]P =25000[/tex] -- the principal amount
[tex]R = 4\%[/tex] -- the interest rate
[tex]T=1[/tex] --- the duration
The amount to pay back in this duration is then calculated using:
[tex]A = P(1 + RT)[/tex]
So, we have:
[tex]A = 25000(1 + 4\% \times 1)[/tex]
[tex]A = 25000(1 + 4\% )[/tex]
Express percentage as decimal
[tex]A = 25000(1 + 0.04)[/tex]
[tex]A = 25000(1 .04)\\[/tex]
Multiply
[tex]A = 26000[/tex]
Hence, the amount to pay back is $26000.00
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