Auburn University

Algebra

Matrices & Determinants Solutions

4. Determine whether the given matrix is invertible without computing its determinant. -1 -3 0 1 3 5 8 -3 -2 -6 3 2 0 -1 2 1

Math - Others

Simple & Compound Interest Solutions

Assume that you save 100,000 USD to keep on the 1st day of every month, in your home or in the bank under monthly 7% compound interest. Put the balance at the beginning of n th month under the system keeping in your home: Mn and compound interest Cn. Then, the first chance when Cn > M50 is at the beginning of (1) th month.

Accounting

Financial Systems Solutions

Berthold's Sporting Goods just purchased $375 worth of tennis gear from one of its vendors to restock its inventory. What accounts would be debited and credited in this transaction? A. Inventory would be debited $375. Accounts Payable would be credited $375. B. Inventory would be credited $375. Accounts Payable would be debited $375. C. Both Inventory and Accounts Payable would be credited $375. D. Both Inventory and Accounts Payable would be debited $37.

Accounting

Accounting Concepts and Standards Solutions

A payroll register lists the beginning cumulative earnings for three employees as $32,000, $3,400, and $11,200. It lists the ending cumulative earnings for these employees as $39,400, $5,340, and $15,320. What does the payroll list as the total current period earnings? A. $60,060 B. $13,460 C. $46,600 D. $106,660

Physics

Radioactivity Solutions

Rocks brought back from the Moon were estimated to have 8% of the ⁴⁰K (Potassium) that it initially had. (It turns into ⁴⁰Ar.) How long ago were these rocks formed? This indicates how long it has been since the Moon was hot and molten. a. After 10,000 years, what fraction of a sample of 40K is left over? b. After 1,000 years, what fraction of a sample of 40K is left over?

Physical Chemistry

Solutions Solutions

Hydrochloric acid is usually purchased in a concentrated form that is 37.0% HCl by mass and has a density of 1.20 g/mL. How much concentrated solution would it take to prepare 3.05 L of 0.505 M HCl upon dilution with water?

Physical Chemistry

Solutions Solutions

An aqueous solution containing 18.1 g of an unknown molecular (nonelectrolyte) compound in 106.0 g of water was found to have a freezing point of -1.5 °C. Calculate the molar mass of the unknown compound. (Use Kf = 1.86 °C/m). Express your answer using two significant figures.

Physical Chemistry

Surface chemistry Solutions

Calculate the osmotic pressure of a solution containing 23.1 g of glycerin (C3H8O₂) in 261.0 mL of solution at 290 K. Express your answer in atmospheres to three significant figures.

Physical Chemistry

General Solutions

An aqueous solution contains 5.0% hydrogen peroxide by mass. What is the molarity of this solution? (Assume a density of 1.02 g/mL.) Express your answer in moles per liter to two significant figures.

Physics

Radioactivity Solutions

A rare decay mode has been observed in which ²²²Ra emits a ¹⁴C nucleus. (A) The decay equation is ²²²Ra → AX +¹⁴C. Identify Nuclide AX (element and number of nucleons) and explain your answer in a sentence.

Math

Probability Solutions

A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the following table. Determine whether gender and passing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth. Passed Failed Male 52 37 Female 81 30 Since P(male)*P(fail) = and P(male and fail) the two results are so the events are

Physics

Electric Field and Potential Solutions

91 91 1 r 1/r2 F12 (uC) (uC) (cm) (m) (m) (N) 10 C 10 uC 10 cm 0.1 m 100 89.876 10 C10 uc 9 cm 0.09 m 123.45679 110.957 10 C 10 uC 8 cm 0.08 m 156.25 140.430 10 uC 10uC 7 cm 0.07 m 204.08163 183.419 10 uC 10 uC 6 cm 0.06 m 277.77777 249.654 10 uC 10 uc 5 cm 0.05 m 400 359.502