Find the maturity value and the amount of simple interest earned. $\$ 4012$ at $7.26 \%$ for 7 months The maturity value is $\$$ (Round to the nearest cent as needed.)

Step 1 ：Given that the principal amount (P) is $4012, the rate of interest (R) is 7.26% or 0.0726 in decimal form, and the time (T) is 7 months or \(\frac{7}{12}\) years.

Step 2 ：We can calculate the interest (I) using the formula for simple interest: \(I = PRT\).

Step 3 ：Substitute the given values into the formula: \(I = 4012 \times 0.0726 \times \frac{7}{12}\).

Step 4 ：Calculate the interest: \(I = 170.29\) dollars.

Step 5 ：The maturity value is the sum of the principal and the interest. So, we add the interest to the principal: Maturity Value = P + I.

Step 6 ：Substitute the values into the formula: Maturity Value = 4012 + 170.29.

Step 7 ：Calculate the maturity value: \(\boxed{Maturity Value = 4182.29}\) dollars.