Sal bought a \( \$ 1000 \) bond that has a coupon rate of \( 7 \% \). The bond will mature in 10 years. How much interest will he receive semiannually?

\( (\sqrt{6},-\sqrt{2}) \) une expression.) \( \cos \alpha=\frac{\sqrt{3}}{2} \) (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for the expression.) tan \( \alpha=\square \) (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for the expression.)

Find the greatest common factors (GCF) of the following numbers. 1. Using Venn diagram method a. 12,18 b. 24,64 c. \( 45,63,99 \) 2. Using prime factorization method a. 24,54 b. 108,104 c. \( 180,270,1,080 \)

Un quadrato ha l'area di \( 169 \mathrm{~m}^{2} \). Aumentan- done l'area di \( 27 \mathrm{~m}^{2} \), quale variazione subisce il perimetro?

\( n \) désignant un entier naturel non nul, on considère l'ensemble \( E_{n} \) des mots de \( n \) lettres que l'on peut former à l'aide des lettres a, b et c uniquement et ne contenant pas deux lettres consécutives identiques. On note \( F_{n} \) la partie de \( E_{n} \) constituée par les mots qui commencent et se terminent par deux lettres différentes. On pose \( \alpha_{n}=\operatorname{card}\left(E_{n}\right) \) et \( \beta_{n}=\operatorname{card}\left(F_{n}\right) \). 1. Déterminer \( \alpha_{n} \) en fonction de \( n \).

g) \( 8 z^{4}+8 z^{3}-z-1=0 \)