## Problem 1

Determine the angle between the tail of the force and the handle AB.

## Problem 2

Determine the force in each cable and the force F required to hold the 5 lb lamp in equilibrium.

## Problem 3

Solve for the magnitude and direction of force P in order to maintain equilibrium in the system.

## Problem 4

Determine the force in cables DA, DB, and DC if the bucket weighs 20 pounds.

## Problem 5

Determine the directional sense and the magnitude of the resultant moment about the origin.

## Problem 6

Determine the magnitude and direction of the moment of force about point O and then find the magnitude and direction of the moment of force about point P.

## Problem 7

Determine the moment of the force F about point P.  Express the answer as a Cartesian vector.

## Problem 8

The Force F={800i+400j-800k}N acts act point B.  Determine the moment of the force about point A.

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## Mortgage Project

You can buy the solution to this project right here.

A home will likely be the biggest purchase a person ever makes, along with being the most intimidating purchase. But the suitable news is most of the problems homebuyers face have a quick solution, if accomplished before trying to get a mortgage.

Also the purpose of this project is help you to overcome the imitating home buying process, definitely it will gave a chance to get familiar with the process:

• Check your credit report so you are mindful of what your current credit score is before for a loan. Credit reporting agencies must give you one free report annually.
• Try to work closely with your banker to figure out how much you can borrow and which loan exactly fits you.
• Acquire what current mortgage rates are. Bankers are there to help you understand how that translates into monthly mortgage payments and that’s the purpose of this project.

The following formula is used for figuring out a monthly home mortgage payment:

$\displaystyle M=\frac{Lr\left[1+\frac{r}{12}\right]^{12t}}{12\left[\left(1+\frac{r}{12}\right)^{12t}-1\right]}$

where:           L=the loan amount in dollars
r = the annual interest rate expressed as decimal
t = the number of years of the loan
M = the monthly payment in dollars

You are looking to buy a $325,000 home in Haverhill. If Bank of America will give them a 30-year mortgage at 6% annual interest rate for the cost of the house after they receive a 10% down payment. A. Determine the loan amount? B. How much their monthly payment will be? C. At the end of the 30-years, how much total money will you have paid to Bank of America for your home? In another word how much did the$325,000 house really cost the couple?

D. How much interest will they have paid?

E. How many of her monthly payment go toward the interest?

F. What percent increase over the cost of the home does this interest represent?

G. Redo and re-answer all questions, but this time for 15 years?

Do analysis comparison between 30 and 15 years mortgage (at least one page not double spacing).

## College Mathematics for Aviation II: Test 4

The following questions are taken from the Embry-Riddle Aeronautical University Worldwide Test 4 questions from MyMathLab.

Questions:

1. Evaluate the given definite integral.

##### $\displaystyle \int _0^1\:\left(2x^4-7x^2\right)dx$$\displaystyle \int _0^1\:\left(2x^4-7x^2\right)dx$

2. Find the area of the region bounded by the graphs of the given equations.

##### $\displaystyle y=x,\:y=\sqrt[4]{x}$$\displaystyle y=x,\:y=\sqrt[4]{x}$

3. Approximate the value of the integral defined by the given set of points.

##### $\displaystyle \int _2^8\:ydx$$\displaystyle \int _2^8\:ydx$

4.  Find the area of the region enclosed between the two curves

$\displaystyle y=5-x^2\:\:\:and\:\:y=x-7$

5.  Evaluate the given definite integral.

$\displaystyle \int _0^{2\sqrt{2}}\:\frac{x}{\sqrt{x^2+1}}dx$

6. Approximate the value of the integral by use of the trapezoidal rule, using n=8.

$\displaystyle \int _0^{10}\:\sqrt{100-x^2}dx$

7. What is the velocity (in ft/s) of a sandbag 2.25 s after it is released from a hot-air balloon that is stationary in the air?

## College Physics 2.8 – Movement of the Land near the San Andreas Fault

#### Land west of the San Andreas fault in southern California is moving at an average velocity of about 6 cm/y northwest relative to land east of the fault. Los Angeles is west of the fault and may thus someday be at the same latitude as San Francisco, which is east of the fault. How far in the future will this occur if the displacement to be made is 590 km northwest, assuming the motion remains constant?

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