A company sells an inexpensive accounting program for home computers. If it can sell \( x \) programs per week at \( p \) dollars each, according to the formula \( x=320-10 p \), and the cost to produce \( x \) programs is \( C(x)=5 x+650 \), find \( P(x) \) and \( P(70) \).

6. \( |7 x|=-63 \)

Write out in full and verify the statements \( S_{1}, S_{2}, S_{3}, S_{4} \), and \( S_{5} \) for the follow \( 18+54+90+\cdots+(36 n-18)=18 n^{2} \) \( 18+54+90+126+162=\square \) (Do not simplify.) Are \( S_{1}, S_{2}, S_{3}, S_{4} \), and \( S_{5} \) true statements? No Yes Which of the following is the next step of the proof? A. Show that \( S_{k+1} \) is true. B. Show that if \( S_{k} \) is true, then \( S_{k+1} \) is true. C. Show that \( S_{n} \) is true. O D. Show that if \( S_{k+1} \) is true, then \( S_{k} \) is true. Write the statement \( S_{k} \) and \( S_{k+1} \).

5. \( |x|=10 \)

2. Make \( \pi \) the subject of the formular \( =\frac{6}{2 \pi} \)

Transpose \( V=\frac{1}{3} \pi r^{2} h \) for \( h \)