Two stores sell the samo television for the same original price. Store A advertises that the television is on sale for \( 30 \% \) off the original price. Store B advertises that it is reducing the television's price by \( \$ 250 \). When Allison compares the sale pricos of the television in both stores, she concludes that the sale prices are equal. Let p represent the telovision's original price. Which equation models this situation?

The ratio between the sum of the fifth, sixth and seventh terms of a geometric series and the sum of the first three terms of the same series is \( 81: 16 \). Determine the sum of the first ten terms, if the first term is 1024 .

Find the factar of \( x^{5}+x^{4}-13 x^{3}-13 x^{2}+36 x+36 \) ai list three factars.

9. Show that (i) \( \binom{n+2}{2}-\binom{n}{2}=n+\frac{1}{2} \) Solution:

Find the factar of \( x^{5}+x^{4}-13 x^{3}-13 x^{2}+36 x+36 \) of list three farturs.

7. Show that the set F of the six complex valued functions: \( f_{1}(z)=z, f_{2}(z)=\frac{1}{1-z}, f_{3}(z)=\frac{z-1}{z} \) \( f_{4}(z)=\frac{1}{z}, f_{5}(z)=1-z, f_{6}(z)=\frac{z}{z-1} \) is a group under the usual multiplication of mappings.