A store buys a photo frame at a wholesale price of $99.00. It sells the photo frame at a retail price of$16.20. The markup is the difference between the retail price and the wholesale price. What is the markup on the photo frame?

sketch the graph of each quadratic function and compare it with the graph of

$$y = x^2$$

.

$$k(x) = 1/2x^2 - 1$$

Many students strive to get good grades. How would social-learning theorists explain this behavior? How would behaviorists explain it?

What are the people doing? (traviesa) La joven ______ molesta a su hermanito.

Best Shoe Company makes loafers. During the most recent year, Best incurred total manufacturing costs of $24,300,000. Of this amount,$2,200,000 was direct materials used and $17,800,000 was direct labor. Beginning balances for the year were Raw Materials Inventory,$700,000; Work-in-Process Inventory, $900,000; and Finished Goods Inventory,$900,000. At the end of the year, balances were Raw Materials Inventory, $900,000; Work-in-Process Inventory,$1,700,000; and Finished Goods Inventory, $730,000. Requirements Analyze the inventory accounts to determine:

1. Cost of raw materials purchased during the year.
2. Cost of goods manufactured for the year.
3. Cost of goods sold for the year.

A sewing machine needle moves with a rapid vibratory motion, rather like SHM, as it sews a seam. Suppose the needle moves 8.4 mm from its highest to its lowest position and it makes 24 stitches in 9.0 s. What is the maximum needle speed?

Prove each statement by mathematical induction.

$$\sqrt { n } < \frac { 1 } { \sqrt { 1 } } + \frac { 1 } { \sqrt { 2 } } + \cdots + \frac { 1 } { \sqrt { n } }$$

, for all integers

$$n \geq 2$$

.

For what values of x is the product (x + 4)(x – 6) positive? Explain

True Fit Shoe Company makes loafers. During the most recent year, True Fit incurred total manufacturing costs of $21,900,000. Of this amount,$2,600,000 was direct materials used and $14,800,000 was direct labor. Beginning balances for the year were Direct Materials,$700,000; Work-in-Process Inventory, $1,500,000; and Finished Goods Inventory,$1,100,000. At the end of the year, balances were Direct Materials, $800,000; Work-in-Process Inventory,$2,000,000; and Finished Goods Inventory, $1,080,000.

Requirements Analyze the inventory accounts to determine:

1. Cost of direct materials purchased during the year.
2. Cost of goods manufactured for the year.
3. Cost of goods sold for the year.

A positive number

$$\epsilon$$

and the limit L of a function f at

$$+ \infty$$

are given. Find a positive number N such that |f(x)-L|<

$$\epsilon$$

if x>N.

$$\lim _ { x \rightarrow + \infty } \frac { 4 x - 1 } { 2 x + 5 } = 2 ; \epsilon = 0.1$$

Use a calculator to find the value of the expression. $( 4.1 ) ^ { 2 }$

Root Shoe Company makes loafers. During the most recent year, Root incurred total manufacturing costs of $26,300,000. Of this amount,$2,000,000 was direct materials used and $19,800,000 was direct labor. Beginning balances for the year were Direct Materials,$700,000; Work-in-Process Inventory, $1,500,000; and Finished Goods Inventory,$400,000. At the end of the year, balances were Direct Materials, $800,000; Work-in-Process Inventory,$1,200,000; and Finished Goods Inventory, $600,000.

Requirements Analyze the inventory accounts to determine:

1. Cost of direct materials purchased during the year.
2. Cost of goods manufactured for the year.
3. Cost of goods sold for the year.

The designations 1A through 8A used for certain families of the periodic table are helpful for predicting the charges on ions in binary ionic compounds. In these compounds, the metals generally take on a positive charge equal to the family number, and the nonmetals take on a negative charge equal to the family number minus 8. Thus the compound formed from sodium and chlorine contains $\mathrm { Na } ^ { + }$ and $\mathrm { Cl } ^ { - }$ ions and has the formula $\mathrm { NaCl } .$ Predict the formula and the name of the binary compound formed from the following pairs of elements. Rb and F

What is the type of the equation

$$u_{xx} − 4u_{xy} + 4u_{yy} = 0?$$

Show by direct substitution that u(x, y) = f (y + 2x) + xg(y + 2x) is a solution for arbitrary functions f and g.