91Ó°ÊÓ

Solve each problem using a quadratic equation. A certain bakery has found that the daily demand for blueberry muffins is \(\frac{3200}{p},\) where \(p\) is the price of a muffin in cents. The daily supply is \(3 p-200 .\) Find the price at which supply and demand are equal.

Solve each equation. Check your solutions. $$ 9 x^{4}-25 x^{2}+16=0 $$

Solve each problem using a quadratic equation. In one area the demand for compact discs is \(\frac{700}{P}\) per day, where \(P\) is the price in dollars per disc. The supply is \(5 P-1\) per day. At what price, to the nearest cent, does supply equal demand?

Solve each equation by completing the square. Give (a) exact solutions and (b) solutions rounded to the nearest thousandth. \(4 p+3=2 p^{2}+2 p\)

Solve each equation by completing the square. Give (a) exact solutions and (b) solutions rounded to the nearest thousandth. \((x+1)(x+3)=2\)

Solve each equation. Check your solutions. $$ x^{4}+48=16 x^{2} $$

Solve each problem using a quadratic equation. The formula $$ A=P(1+r)^{2} $$ gives the amount \(A\) in dollars that \(P\) dollars will grow to in 2 yr at interest rate \(r\) (where \(r\) is given as a decimal), using compound interest. What interest rate will cause \(\$ 2000\) to grow to \(\$ 2142.45\) in 2 yr?

Solve each equation by completing the square. Give (a) exact solutions and (b) solutions rounded to the nearest thousandth. \((x-3)(x+1)=1\)

Solve each problem using a quadratic equation. Use the formula \(A=P(1+r)^{2}\) to find the interest rate \(r\) at which a principal \(P\) of \(\$ 10,000\) will increase to \(\$ 10,920.25\) in 2 yr.

Solve each equation. Check your solutions. $$ z^{4}+72=17 z^{2} $$