The crime rate of a certain city is increasing by exactly \( 2 \% \) each year. If there were 550 crimes in the year 1990 and the crime rate remains constant each year, determine the approximate number of crimes in the year 2021.

57. (Enem) Torneios de tênis, em geral, são disputados em sistema de eliminatória simples. Nesse sistema, são disputadas partidas entre dois competidores, com a eliminaçāo do perdedor e promoçāo do vencedor para a fase seguinte. Dessa forma, se na \( 1^{\mathfrak{a}} \) fase o torneio conta com \( 2 n \) competidores, entāo na \( 2^{a} \) fase restarão \( n \) competidores, e assim sucessivamente até a partida final. Em um torneio de tênis, disputado nesse sistema, participam 128 tenistas. Para se definir o campeão desse tor- neio, o número de partidas necessárias é édado por: a) \( 2 \cdot 128 \) b) \( 64+32+16+8+4+2 \) c) \( 128+64+32+16+8+4+2+1 \) d) \( 128+64+32+16+8+4+2 \) e) \( 64+32+16+8+4+2+1 \)

The graph of \( y=|x-3|+2 \) is reflected across the \( y \)-axis and then translated down two units. What is the equation of the transformed graph? ( \( y=|-x+3|-2 \) \( \begin{array}{l}y=|x+3| \\ y=|-x+3| \\ y=-|x+3|+4\end{array} \)

How many different passcodes can be formed from the letters \( \{A, B, C, D\} \) if each letter can only be used once?

What is the value of log₁₀(0.01)?

8. Ironman can fly at the constant rate of 2.682 kilometers per second. He leaves the Stark tower and flies to the Moon, which is 961,000 miles away, at the same speed. Approximately, how many hours after take-off does Iromman reach the Moon? ( 1 mile \( =1.6 \) kilometers). A. 1.43 B. 40 C. 100 D. 159