Open in App
Log In Start studying!

Select your language

Suggested languages for you:

Problem 1

Compute the simple interest for the specified period and the future value at the end of the period. Round all answers to the nearest cent. $$ \$ 2,000 \text { is invested for } 1 \text { year at } 6 \% \text { per year } $$

Short Answer

Expert verified
The simple interest is \(120 and the future value at the end of the period is \)2,120.
See the step by step solution

Step by step solution

Unlock all solutions

Get unlimited access to millions of textbook solutions with Vaia Premium

Over 22 million students worldwide already upgrade their learning with Vaia!

Step 1: Understand the given information.

We are given an initial investment of $2,000, interest rate of 6% per year, and investment duration of 1 year. We will use these values in the simple interest and future value formulas.

Step 2: Calculate simple interest.

The formula for simple interest is given by: Simple Interest = \(P \times R \times T\), where P is the principal amount, R is the interest rate (as a decimal), and T is the investment duration in years. In this case, we have P = $2,000, R = 6% = 0.06, and T = 1 year. Plugging these values into the formula: Simple Interest = \(\(2,000) \times 0.06 \times 1 = \)120.

Step 3: Calculate future value.

The formula for future value is given by: Future Value = \(P + \text{Simple Interest}\) In this case, we have P = \(2,000 and Simple Interest = \)120. Plugging these values into the formula: Future Value = \(\(2,000) + \)120 = $2,120.

Step 4: Round the answers to the nearest cent.

Since our answers are already in the nearest cent, we don't need to round them. The Simple Interest is \(120 and the Future Value is \)2,120.

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Access millions of textbook solutions in one place

  • Access over 3 million high quality textbook solutions
  • Access our popular flashcard, quiz, mock-exam and notes features
  • Access our smart AI features to upgrade your learning
Get Vaia Premium now
Access millions of textbook solutions in one place

Most popular questions from this chapter

Chapter 5

Compute the specified quantity. Round all answers to the nearest month, the nearest cent, or the nearest \(0.001 \%\), as appropriate. Fees You take out a 3-year, 7,000 loan at 8\% simple annual interest. The lender charges you a \(\$ 100\) fee. Thinking of the fee as additional interest, what is the actual annual interest rate you will pay?

Chapter 5

You take out a 2-year, \(\$ 5,000\) loan at \(9 \%\) interest with monthly payments. The lender charges you a \(\$ 100\) fee that can be paid off, interest free, in equal monthly installments over the life of the loan. Thinking of the fee as additional interest, what is the actual annual interest rate you will pay?

Chapter 5

Determine when, to the nearest year, $$\$ 3,000$$ invested at \(5 \%\) per year, compounded daily, will be worth $$\$ 10,000$$.

Chapter 5

Are based on the following table, which shows the 2008 annual inflation rates in several Latin American countries. \({ }^{13}\) Assume that the rates shown continue indefinitely. $$\begin{array}{|l|c|c|c|c|c|c|c|} \hline \text { Country } & \text { Argentina } & \text { Brazil } & \text { Bolivia } & \text { Nicaragua } & \text { Venezuela } & \text { Mexico } & \text { Uruguay } \\ \hline \text { Currency } & \text { Peso } & \text { Real } & \text { Boliviano } & \begin{array}{c} \text { Gold } \\ \text { cordoba } \end{array} & \text { Bolivar } & \text { Peso } & \text { Peso } \\ \hline \begin{array}{l} \text { Inflation } \\ \text { Rate (\%) } \end{array} & 9.2 & 6.3 & 15.1 & 13.8 & 25.7 & 5.0 & 8.5 \\ \hline \end{array}$$ If an item in Brazil now costs 100 reals, what do you expect it to cost 5 years from now? (Answer to the nearest real.)

Chapter 5

Determine the periodic payments on the loans given: \(\$ 1,000,000\) borrowed at \(4 \%\) for 10 years, with quarterly payments

Join over 22 million students in learning with our Vaia App

The first learning app that truly has everything you need to ace your exams in one place.

  • Flashcards & Quizzes
  • AI Study Assistant
  • Smart Note-Taking
  • Mock-Exams
  • Study Planner
Join over 22 million students in learning with our Vaia App Join over 22 million students in learning with our Vaia App

Recommended explanations on Math Textbooks