If interest is compounded annually

Assignment Help Mathematics
Reference no: EM13161736

If interest is compounded annually, it grows as follows. Suppose P0 is the initial amount and INT is the interest rate per year. If P1 and P2 represent the balance at the end of the first and second year, respectively, then P1 ¼ P0 + P0 INT ¼ P0 ( 1 + INT) P2 ¼ P1 + P1 INT ¼ P1 ( 1 + INT) ¼ P0 ( 1 + INT) ( 1 + INT) ¼ P0 ( 1 + INT) 2. In general, if Pk represents the amount at the end of the kth year, then Pk ¼ P0 ( 1 + INT) k. When money is deposited in an IRA, usually it is sheltered from taxes until the money is withdrawn after the age of 59. Suppose that someone close to you opened such an account for you on your 16 th birthday at 7% interest, and then he or she forgot about it ( so no money was added or withdrawn). On your 60 th birthday, some fortune hunters notify you about this account. The money has been compounded annually at the 7% rate. Write a program that reads an initial amount and computes the total in the account on your 60th birthday. You decide to leave the money in the IRA for another year. Starting from your 61st birthday, you decide to withdraw each years interest income. In other words, you withdraw the years interest and leave the rest of the money untouched. How much income would you receive per month for the rest of your life?

"Design your program to accept any integer input. Test it with initial investments of $ 1700, $ 3600, and $ 8500. (Note: Use the predefined method pow from the Math class to compute the amount at your 60th birthday.)

The program should do all the necessary computing, and output all the relevant data as follows: (from my Instructor: This program should only prompt for prompt for the principle amount. The remaining problem should include static variables (60 for the age, etc)."

The initial investment was $_____________. The total amount accumulated after _____________ years, if $_____________ is allowed to compound with interest at 7.00%, comes to $_____________. The total amount accumulated after _____________ ( years + 1) years, if $ _____________ is allowed to compound with interest at 7.00%, comes to $_____________. The interest earned during this year is $_____________. If interest is withdrawn each year thereafter, my income is $_____________ per month. The initial investment was $_____________. The total amount accumulated after _____________ years, if $_____________ is allowed to compound with interest at 7.00%, comes to $_____________. The total amount accumulated after _____________ ( years + 1) years, if $ _____________ is allowed to compound with interest at 7.00%, comes to $_____________. The interest earned during this year is $_____________. If interest is withdrawn each year thereafter, my income is $_____________ per month. The initial investment was $_____________. The total amount accumulated after _____________ years, if $_____________ is allowed to compound with interest at 7.00%, comes to $_____________. The total amount accumulated after _____________ ( years + 1) years, if $ _____________ is allowed to compound with interest at 7.00%, comes to $_____________. The interest earned during this year is $_____________. If interest is withdrawn each year thereafter, my income is $_____________ per month.

Reference no: EM13161736

Questions Cloud

Java''s type int has limit onhow large aninteger it can store : Java's type int has a limit on how large an integer it can store. This limit can be circumvented by representing an integer as an array of digits. Write an interactive program that adds two integers of up to 50 digits each.
Your letterinventory class must use an array : Your LetterInventory class must use an array of Counter objects. Note that there is no nextChar method in the Scanner class. You must use the next() method and then use a loop through the characters of the token that is returned. Ignore any character..
Pointer variables to demonstrate shallow and deep copy : Using C++, write a program that uses pointer variables to demonstrate shallow and deep copy. The program should give the user the choice to do the following:
Write method called median that accepts an array of integer : Write a method called median that accepts an array of integers as its parameter and returns the median of the numbers in the array.
If interest is compounded annually : If interest is compounded annually, it grows as follows. Suppose P0 is the initial amount and INT is the interest rate per year. If P1 and P2 represent the balance at the end of the first and second year
Demonstrate the construction and output of an array : In fluid mechanics, the Reynolds number (Re) is a dimensionless quantity that is used to help predict similar flow patterns in different fluid flow situations. For example, Reynolds numbers can be computed for different velocities of fluid flow over ..
Ask the user how many times you want to run : c the algorithm. 2. Then choose a word at random from the array of Strings as the target (Use the integer random number generator)
Build a table of reynolds numbers at flow velocities : Write a program code to compute and build a table of Reynolds numbers at flow velocities varying from 100 to 1000 ft/sec (at increments of 100)
In psuedocode, design an application : In psuedocode, design an application that has an array of at least 20 integers. It should call a module that uses the sequential search algorithm to locate one of the values

Reviews

Write a Review

Mathematics Questions & Answers

  Finding curves

Find the curve that passes through the points (3, 2) and has the property that if the tangent line is drawn at any point P on the curve, then the part of the tangent line that lies in the first quadrant is bisected at P.

  Substitutions for homogeous and bernoulli

What technique would be used to solve the differential equation: You do not have to solve the differential equations, just write what technique that you would use to solve them.

  Example of graph used in real life

Find an example online of a graph used in real life. Please provide the link to the web page by using the link button in the editor. Describe at least one mathematical feature of the graph

  Determining derivative approximation

Approximate the derivative of y=x^3 at x=2 by assuming delta x = 0.001 and determining the corresponding change delta y. Compare the approximate value with the exact value.

  Determining right angled triangle

Anne is pulling on a 60-foot rope attached to the top of a 48-foot tree while Walter is cutting the tree at its base. How far from the base of the tree is Anne standing?

  Description of mutually exclusive events

Can you give two other ways of representing a discrete probability distribution? Or Can a pair of events be both mutually exclusive and independent? Description of Mutually exclusive events

  Solving linear programming problem

Solving linear programming problem.

  Volume of pyramid with rectangular base

Find the volume of the pyramid with a rectangular base. 11 in height, 12 in length, and 10 in width.

  Develope a formula for the overall probability of kill

Develope a formula for the overall probability of kill, assuming that N defensive missles are launched.

  Derivatives and extrema

Find f'(x) using the appropriate rule and simplify to one expression with positive exponents. Find all values of x, using algebra, where f'(x)=0 (Write your answer with positive exponents)

  Maximal planar graph

Prove that there exists only one 4-regular maximal planar graph.

  Calculate the probability of a head on the first flip

A silver dollar is flipped twice, calculate the probability of each of the following occurring: A, a head on the first flip

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd