Mathematics Homework Solutions

The present value P that will amount to A dollars in n years with interest compounded annually at annual interest rate r, is given by P = A(1+r)^-n. Find the present value that will amount to $50,000 in 20 years at 8% compounded annually.

The present value P that will amount to A dollars in n years with interest compounded annually at annual interest rate r, is given by P = A(1+r)^-n. Find the present value that will amount to $50,000 in 20 years at 8% compounded annually.

Perimenter of a Rectangle Using a Binomial

The perimeter of a rectangular backyard is 6x + 6 yards. If the width is x yards, find a binomial that represents the length.

Distance travelled - A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car's new collision detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing?

A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car's new collision detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing?

Capital

Henry invested $12,000 in a new restaurant. When the restaurant was sold two years later, he received $27,000. Find his average annual return by solving the equation 12,000(1+r)^2 = 27,000.

Prove that the given element is algebraic over Q.

A step by step solution is provided to prove the given elements algebraic over Q. Easy to follow basic concepts of algebra are used to prove it.

Solving Algebraic Theory Problems - [See the attached questions file.]

Solving Algebraic Theory Problems - [See the attached questions file.] 1) Solve algebraically Type as cube root(x) and show raising to the nth power as ^n, like x 3 is typed x^3. a) Answer: Show work: b) Answer: Show work: c) Answer: Show work: 2) Solve algebraically and check potential solutions: ...continues

Writing Equations from Word Problems and pH Calculations

Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be modeled by an exponential function, H= p * at , where p is the number of new homes built in the first year recorded. ...continues

A Growth Rate Population of a Chosen Country

Choose a country of your choice that is experiencing population growth. Using the Library, web resources, and/or other materials to find the most recent population count of the country you have chosen and the population growth rate of that country. Use that growth rate to approximate the population in the year 2009. Show how eac ...continues

Rational Formula - Find the average weight in pounds of a type of bird of your choice and calculating time for two workers to complete a particular task.

Please assist with the following so I can complete he assignment: A In the use of the Library, web resources, and/or other materials, find the average weight in pounds of a type of bird of your choice. Use the rational exponent equation L = 2.43 * W^0.3326 to estimate the wingspan L in feet of the bird that weighs W pounds ( ...continues

Recall that an element a is called algebraic over a ring (or field) R if a is the root of some polynomial in R[x]. Is the element a = 2/5 + i/3, (R= the integers) algebraic over the ring (or field) R? If so, give a polynomial in R[x] which has a as a root.

Recall that an element a is called algebraic over a ring (or field) R if a is the root of some polynomial in R[x]. Is the element a = 2/5 + i/3, (R= the integers) algebraic over the ring (or field) R? If so, give a polynomial in R[x] which has a as a root.

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