Use the tax tables in this lesson to find the tax.

How much tax does a head of household with taxable income of $23,798 owe?

Nicki O’Shea is 25 years old and is single. Her gross income last year was $21,455 and her taxable income was$13,926. Find her tax.

Air pressure, $P$, decreases exponentially with the height, $h$, in meters above sea level:

$$P=P_0 e^{-0.00012 h}$$

where $P_0$ is the air pressure at sea level. The maximum cruising altitude of an ordinary commercial jet is around 12,000 meters (about 39,000 feet). At that height, what is the air pressure, as a percent of the sea level value?

Use the tax tables in this lesson to find the tax.

Beth and Ira Stein are married and file a joint tax return. Their taxable income is $23,378. What is their tax?

Use the marginal tax rates in Table $4.9$ to compute the tax owed in the following situations.

Paul is a head of household with a taxable income of $\$ 89,300$. He is entitled to a $\$ 1000$ tax credit.

In preparing their tax return, the Rossinis, a married couple, claimed 5 exemptions at $3,500 each, and the standard deduction. Their adjusted gross income was$45,208. What was the Rossini’s exact taxable income?

Find the local maximum and minimum values.

$$f(x)=\frac{x}{(x-1)^2}$$

In Colonization: Second Contact (Harry Turtledove, Ballantine Publishing Group, 1999), the Earth has been partially settled by aliens from another planet, whom humans call Lizards. Laboratory study by humans of Lizard science requires “shifting back and forth between the metric system and the one the Lizards used, which was also based on powers of ten but used different basic quantities for everything but temperature.” Why might temperature be an exception?

A plane accelerates from rest at a constant rate of $4.5\,\dfrac{\text{m}}{\text{s}^2}$ along a runway that is $1.5\text{ km}$ long. Assume that the plane reaches the required takeoff velocity at the end of the runway.

a) What is the time $t_{TO}$ needed to take off? b) What is the speed $v_{TO}$ of the plane as it takes off? c) What is the distance $d_1$ traveled by the plane in the first second of its run?

Carbon disulfide and carbon monoxide are produced when carbon is heated with sulfur dioxide.

$$5 \mathrm{C}(s)+2 \mathrm{SO}_2(g) \longrightarrow \mathrm{CS}_2(l)+4 \mathrm{CO}(g)$$

a. How many moles of $\mathrm{C}$ are needed to react with $0.500 \mathrm{~mol}$ of $\mathrm{SO}_2$ ? b. How many moles of $\mathrm{CO}$ are produced when $1.2 \mathrm{~mol}$ of $\mathrm{C}$ reacts? c. How many moles of $\mathrm{SO}_2$ are required to produce $0.50 \mathrm{~mol}$ of $\mathrm{CS}_2$ ? d. How many moles of $\mathrm{CS}_2$ are produced when $2.5 \mathrm{~mol}$ of C reacts?

In one year, Nestor Ortiz’s wages totaled $29,450. His wife, Maria Gomez had a salary of$31,572 and a bonus of $500. The Gomezes also received$2,519 in interest and $953.37 in dividends. They paid$4,850 into a retirement fund and were penalized $52 for removing money from a savings plan early. What was their adjusted gross income that year?

what value of $F_{\max }$ gives an impulse of $6.0 \mathrm{Ns}$ ?

Bo and Dan Brady’s income last year was: net income from business, $35,838.67; dividends,$2,312.98; interest, $3,517.45; rental income,$2,672. Adjustments to income totaled $4,628.83. Find their adjusted gross income

A latus rectum of a conic section is a chord through a focus parallel to the directrix. Find the area bounded by the parabola $y=x^2 /(4 c)$ and its latus rectum (refer to the said figure).