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.

8. a) \( \operatorname{Add} \frac{7}{9+\frac{1}{6}}= \)

[b] Simplify to the simplest form : \( \sqrt{125}-\sqrt[3]{250}+\frac{1}{2} \sqrt[3]{16}+\sqrt{20} \)

Radicales: 1.-Di cuáles de las siguientes raíces son racionales y cuáles irracionales. ¿Por qué?: \[ \begin{array}{lllll}24 & \sqrt[3]{1000} & \sqrt[3]{512} & \sqrt[6]{2048} & \sqrt[5]{2048}\end{array} \]

1) \( f(x)=\log _{2} \quad x+2 \) 2) \( f(x)=\log _{2} \quad x-1 \) 3) \( f(x)=\log _{2} \quad x+3 \) 4) \( f(x)=\log _{2}(x+2) \) 5) \( f(x)=\log _{2}(x-2) \) 6) \( f(x)=\log _{2}(x-5) \)

Express the repeating decimal number as a quotient of two integers. \( 4 . \overline{45} \) \( 4 . \overline{45}=\square \) (Simplify your answer. Type an improper fraction.)