Section 3: Scientific Notation
1. How many one hundred dollar bills would you need to have ten thousand dollars? Explain.
2. How many 1,000 are there in 10 billion? Explain.
3. Explain in your own words:
a. How to convert a standard number to scientific notation.
b. How to convert a numb...

Per Capita
1) The National Oceanic and Atmospheric Administration (NOAA) reported that there are 17.8 million feet of Atlantic coastline in the state of North Carolina. If the population of North Caroline is approximately 9.5 million, find the number of feet of coastline per capita in North Carol...

Brenna's mom, Mrs. Herstone, is watching Brenna playing at the park. Some children are pushing Brenna around the merry-go-round. Mrs. Herstone decides to take some data, so she started her stopwatch. At 3.5 seconds Brenna is farthest from Mrs. Herstone 26 feet away. When the stopwatch reads 4.2...

Emile got a letter in the mail saying that a wealthy relative had left him an inheritance. At a meeting the next week, a lawyer read the following statement.
To Emile, because he likes math problems, I leave a choice. He can have one of two inheritances. He must make his choice before leavin...

Since this module focuses on measurement it will be very important that mathematical conversions be clearly demonstrated throughout your problem write-up. For example, if you are converting 28 yards to meters, you must track your calculations with cancellation of units as seen below:
28 yards t...

A downtown employee is looking for the best option for parking a car during a 5 day work week. One parking garage offers unlimited parking at a flat rate per month. Another garage offers an hourly rate for parking. Which option is best for the employee on a monthly basis?
Consider that the employ...

Suppose {e_t} and {E_t} are two independent white noise processes with variance sigma^2 and sigma^2_e respectively.
(a) Show that {v_t = e_tE_(t-1)} is also a white noise and calculate its variance.
(b) Show that y_t = v_t - 0.5_(vt-1) + 3e_(t-1) is stationary.

1. Write a function whose graph is the graph of y = (x+2)^2, but is refelcted about the x-axis.
2. Determine whether the given function is linear or nonlinear? If the function is linear, determine the slope.
x y = f(x)
1 -12
2 -7
3 -5
4 -4
5 -5
3. Form ...

Find an equation of the exponential function y=g(x) , whose graph passes through the 2 given points.
a) (0,5) (3,9)
b) (2,24) (4,8)
Please show how you got the answer.
And find a equation of the linear function y=f(x) for the same points.

Please help answer the following questions:
1. Find all intercepts of the function f(x)=4x^3-7x^2-16x+28 . For each intercept, show your algebra, then state the intercept using correct function notation and as an ordered pair. Clearly state whether the intercept is an x-intercept or a y-intercep...

Question 4
Find the work done by the force
F (x,y,z) = -x^2y^3 i + 4j + xk
on moving charged electric particle along the path given by the equation
r (t) = 2cos t i + 2sintj + 4k,
where the parameter t varies from pi/4 to 7pi/4.
Question 5
Displacement of the spring system with friction ...

6. Owing to the rising cost of copper, in 1982, the US Mint changed the composition of pennies from 95% Copper + 5% Zinc to 2.5% Copper + 97.5% Zinc to save money in minting pennies. Your favourite aunt has a collection of 5,000 pennies minted prior to 1982 and she intends on gifting the collection ...

You want to make a statement about the variability in the costs of personnel shelters. After collecting sample data (cost in $K) on 9 shelters you perform some preliminary calculations.
Given the information provided:
The coefficient of variation is about 17.64%
The variance is a...

Two species with populations N1(t) and N2(t) interact according to the model:
(dN_1/d_t)=r_1N_1(1-(N_1/K_1) - b_12(N_2/K_1),
(dN_2/d_t)=r_2N_2(1-b_21(N_1/K_2),
Non-dimensionalise the system (7) so that:
(d_u/d_t) = u (1- u - au), (d_u/d_t) = pv (1-Bu),
finding explicit formulae for t...

1. Solve the following system of equations using the Substitution method:
5X-7Y= - 18
4X+3Y= 20
2. Solve the following system of equations using the elimination method:
2X-3Y=12
-2X+3Y=12
Solution: Computation of the Equations
2X-3Y =12
-2X+3Y =12
3. A total of $80,000 is invested in ...

A. Graph the function =
f(x) = x-2/x^2 - 3x + 2
B. Find the domain and range of , showing all work.
C. Find the
→ , showing all work, or explain why the limit does not exist.
D. Find the
→ , showing all work, or explain why the limit does not exist.
E. Apply th...

1. A component has a reliability of 0.75. How many identical components do we have to add n parallel to the frst to increase the overall reliability to 0.95?
You may use the following general formulas
R_sys = 1-(1-R1)(1-R2)...(1-Ri)...(1-Rn)
Ri=e^-(lamda*t)
2. Find both the minimum and maximu...

Which of the following sets of polynomials n K[x], K commutative are K-modules:(a) all polynomials of degree exactly ; (b) all polynomials of degree at most 4; (c) all monic polynomials; (d) all polynomials of even degree?

Hello, I need help figuring out the missing amount and to arrive at the answers.
The following data have been extracted from the records of Riddle Co.:
July December
Production level, in units........................................... 5,000 10,000
Variable Cos...

Prepare a bank reconciliation as of August 31 from the following information:
a. The August 31 balance shown on the bank statement is $9,810.
b. There is a deposit in transit of $1,260 at August 31.
c. Outstanding checks at August 31 totaled $1,890.
d. Interest credited to the account during Aug...

Can you please explain how to do these problems?
1. Evaluate 3x-4y/ 2z when x= -2, y=3, z=4 . Express your answer as a fraction.
2. Use the order of operations to simplify the following expression. (-2)2 -3 2
3. Write the statement as an algebraic equation: 'The difference between x and 2...

6. Why can't you obtain a correlation coefficient greater than ±1?
8. As the value of r approaches ±1, what does it indicate about the following:
a) The consistency in the X-Y pairs
b) The variability of the Y scores at each X
c) The closeness of the Y scores to the regression line
d) the a...

Pope's Garage had the following accounts and amounts in its financial statements on December 31, 2010. Assume that all balance sheet items reflect account balances at December 31, 2010, and that all income statement items reflect activities that occurred during the year then ended.
Accounts recei...

To determine the compound amount of an investment of $10,000 with an interest rate of 6% compounded monthly after 4 years requires you to use a table factor that goes beyond the Compound Interest Table. Calculate the new table factor for this investment. (Points : 2.5)
5. Now, us...

On the basis of the following data for Teller Co. for 2008 and the preceding year ended December 31, 2008, prepare a statement of cash flows. Use the indirect method of reporting cash flows from operating activities. Assume that equipment costing $125,000; was purchased for cash, and equipment cos...

I need to calculate the four profitability ratios that can be computed from the information on the Conner Company. The data is presented below:
Average total assets
1,700,000
Net income
250,000
Net sales
1,400,000
Average common stockholders' equity
1,000,000
Net cash provid...