91Ó°ÊÓ

Perform the indicated divisions. $$\frac{2 \pi f L-\pi f R^{2}}{\pi f R}$$

Set up an appropriate equation and solve. Data are accurate to two sig. digits unless greater accuracy is given. A wholesaler sells three types of GPS systems. A dealer orders twice as many economy systems at \(\$ 40\) each, and 75 more econoplus systems at \(\$ 80\) each, than deluxe systems at \(\$ 140\) each, for \(\$ 42,000 .\) How many of each were ordered?

Set up an appropriate equation and solve. Data are accurate to two sig. digits unless greater accuracy is given. A person won a state lottery prize of \(\$ 20,000,\) from which \(25 \%\) was deducted for taxes. The remainder was invested, partly for a \(40 \%\) gain, and the rest for a \(10 \%\) loss. How much was each investment if there was a \(\$ 2000\) net investment gain?

Simplify the given algebraic expressions. $$(4 x-y)-(-2 x-4 y)$$

In Exercises \(5-48,\) simplify the given expressions. Express results with positive exponents only. $$\left(\frac{F}{t}\right)^{20}$$

Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter. \(f=\frac{F}{d-F},\) for \(d \quad\) (photography)

Simplify the given expressions. Express results with positive exponents only. $$\left(\frac{F}{t}\right)^{20}$$

Solve the given equations. $$3(4-n)=-n$$

Perform the indicated multiplications. $$-2\left(-3 s t^{3}\right)(3 s-4 t)$$

evaluate each of the given expressions by performing the indicated operations. $$\frac{-64}{-2|4-8|}$$