2) a fund that pays a nominal rate of 4% per year compounded monthly. You would like to deposit $X every month during the first year and $2X every month during the second year. Determine the amounts of your monthly deposits during year 1 and year 2. You want to accumulate $30,000 two years from now. You decide to make monthly deposits into

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
icon
Concept explainers
Question
**Problem Statement**

You want to accumulate $30,000 two years from now. You decide to make monthly deposits into a fund that pays a nominal rate of 4% per year, compounded monthly. You would like to deposit $X every month during the first year and $2X every month during the second year. Determine the amounts of your monthly deposits during year 1 and year 2.
Transcribed Image Text:**Problem Statement** You want to accumulate $30,000 two years from now. You decide to make monthly deposits into a fund that pays a nominal rate of 4% per year, compounded monthly. You would like to deposit $X every month during the first year and $2X every month during the second year. Determine the amounts of your monthly deposits during year 1 and year 2.
Expert Solution
Step 1

Given that:

Future value = $30,000

Rate of interest = 4% = 0.04

Number of computing periods in year(n)= 12

Amount deposit in the first year = $X.

Amount deposit in the second year = $2X.

The formula for compound interest is,

FV=PMT1+rnnt-1rn

video

Learn your way

Includes step-by-step video

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education