Step-by-step explanation:
Given, Dan borrows money to buy a new trumpet $400 at simple interest rate of 5% .
[tex]{\textrm {simple interest} = \frac{P \times r \times t}{100}[/tex] here P =$400, r = 5% and t = 1
[tex]=\$\frac{400 \times 5 \times 1}{100}[/tex]
[tex]=\$(0.05\times 400)[/tex]
Therefore he will need to pay back after one year is = 400+(0.05×400)
So, t = 400+(0.05×400)
Dan's equation is wrong.