Um capital de \( R \$ 600,00 \), aplicado à taxa de juros simples de \( 30 \% \) ao ano, gerou u montante de \( R \$ 1320,00 \) depois de certo tempo. O tempo de aplicação foi de: l,69

Use the definite integral to find the area between the \( x \)-axis and \( f(x) \) over the indicated interval. Check first to see if the graph crosses the \( x \)-axis in the given interval. \( f(x)=\frac{5}{x}-\frac{5}{e} ;\left[1, e^{2}\right] \) The area is \( \square \). (Type an exact answer in simplified form.)

The marginal revenue (in thousands of dollars) from the sale of \( x \) handheld gaming devices is given by the following function. \( R^{\prime}(x)=4 x\left(x^{2}+26,000\right)^{-\frac{2}{3}} \) (a) Find the total revenue function if the revenue from 125 devices is \( \$ 47,939 \). (b) How many devices must be sold for a revenue of at least \( \$ 43,000 \) ? (a) The total revenue function is \( R(x)=\square \), given that the revenue from 125 devices is \( \$ 47,939 \). (Round to the nearest integer as needed.)

Discussion Topic In this unit, you learned about the structure and functions of the three branches of the federal government. Identify these branches, and describe some of their powers, as granted by the U.S. Constitution. What are some ways that each branch can perform checks on the powers of other branches? Why do you think this important? What do yo think might happen if one branch of government was granted too much power over others? Explain your response.

20) \( (-1)-(-40) \)

Simplify \( \left(7^{-1} q^{5}\right)^{-2}\left(r^{-5} s\right)^{2} \). Identify the exponeI