Respuesta :

First, find what 41 is 4% of.
[tex] \frac{4}{100} = \frac{41}{x} [/tex]
[tex]4x = 4100[/tex]
[tex]x = 1025[/tex]
Now find 7% of 1025.
[tex]1025(.07) = 71.75[/tex]
The interest would be $71.75

Answer:

$ 71.75

Step-by-step explanation:

Suppose r represents the interest rate and I represents the amount of interest,

∵ the interest on an investment varies directly as the rate of interest,

i.e. I ∝ r

I = kr

Where,

k = constant of variation,

If I = 41, r = 4% = 0.04,

[tex]\implies 41=0.04k\implies k = \frac{41}{0.04}=1025[/tex]

Thus, the equation that shows the relation between I and r is,

I = 1025 r

If r = 7% = 0.07,

Thus, the interest would be,

I = 1025 × 0.07 = $ 71.75