Respuesta :

Given:

The interest on an investment varies directly as the rate if interest.

Assume that, the interest is $49 when the interest rate is 5%.

To find the interest when the rate is 9.9%

So, it can be written as,

[tex]\begin{gathered} \frac{0.05}{49}=\frac{0.099}{x} \\ 0.05x=0.099\times49 \\ x=\frac{0.099\times49}{0.05} \\ =97.02 \end{gathered}[/tex]

Hence, the interest when rate is 9.9% is $97.02.