A. A library charges \( \boldsymbol{a} \) cents for the first 5 days that a book is borrowed and \( \boldsymbol{b} \) cents for each day over the 5 days. What is the total cost for borrowing a book for \( \boldsymbol{c} \) days where \( c \) is greater than 10 ? a) \( a+b c \) b) \( a+b(c-5) \) c) \( a+b(c-10) \) d) \( b+a(c-10) \)

\( \begin{array}{l}\text { Simplify the expression. Assume that variables represent } \\ \text { non-zero real numbers. }\end{array} \) \( \begin{array}{ll}\frac{6 a^{5}\left(a^{-2}\right)^{6}}{\left(a^{-1}\right)^{-3}} & \frac{6 a^{5}\left(a^{-2}\right)^{6}}{\left(a^{-1}\right)^{-3}}=\square \\ \text { (Simplify your answer. Type in exponenti. } \\ \text { notation. Type positive exponents.) }\end{array} \)

Rewrite the following without an exponent \[ (-7)^{-2} \]

Simplify. \( [32-(15+5) \div 4]-[56 \div(8-1)]^{\prime} \) \( [32-(15+5) \div 4]-[56 \div(8-1)]=\square \)

Three-fifths of Jesse Black's inventory was destroyed by fire. He sold the remaining part, which was slightly damaged, for two-thirds of its value and received \( \$ 3400 \). (a) What was the value of the destroyed part of the inventory? (b) What was the value of the inventory before the fire? (a) The value is \( \$ \square \). (Round to the nearest cent as needed.)

a) \( x+y=2 \) b) \( x+x-y=4+y \)