Explanation Given: Here in the question we have:- At the end of the 10 month account balance as: $ 2100 and, At the end of the 18 month account balance as: $ 2180 Approach: Here we would equal the rate for both the balance where we would be able to calculate the original balance. Calculation: As we know the formula for the simple interest is:- Note here interest rate given as anualy- S . I = ( Princilpe amount × rate × time ) 100 And total amount is:- Total amont = Principle amount + S .I, Let principle amount = x and rate = r ; So, for 10 months: Total amount: 2100 = x + ( x × r × 10 12 100 ) r = ( ( 2100 − x ) × 100 ) × 12 ( x × 10 ) Similarly for 18 month: Total amount: 2180 = x + ( x × r × 18 12 100 ) r = ( ( 2180 − x ) × 100 ) × 12 ( x × 18 ) So, now we can equate the interest rate for both the months and calulate the original amount:

A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)

13th Edition

ISBN: 9780135183885

Author: Rick Billstein, Shlomo Libeskind, Johnny Lott, Barbara Boschmans

Publisher: PEARSON

See similar textbooks

Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

Videos

Question

Chapter 8.4B, Problem 13A

To determine

the original amount or principle amount initially at the end of 10 months, the annual Simple interest is $2100, at the end of the 18 months the balance is $2180.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.4B, Problem 12A

Chapter 8.4B, Problem 14A

Students have asked these similar questions

15. (a) Find all the eigenvalues and their algebraic and geometric multiplicities. (b) Find bases for the corresponding eigenspaces. (c) Is the matrix is diagonalizable? Explain. If it is, then find P and D. 100 00 1 1

respuesta

Good Day, Kindly assist me with this query.

Chapter 8 Solutions

A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)

Ch. 8.1 - Student were asked to write an algebraic...Ch. 8.1 - a. Choose seven consecutive term in any arithmetic...Ch. 8.1 - A teacher instructed her class as follows: Take...Ch. 8.1 - A teacher instructed her class to take any number...Ch. 8.1 - Give an example of geometric sequence whose first...Ch. 8.1 - Joel says that there is no reason to have more...Ch. 8.1 - A student wonders if sets can ever be considered...Ch. 8.1 - A student wants to know how can she prove that a...Ch. 8.1 - Prob. 9MC Ch. 8.1 - Prob. 11MC

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

the original amount or principle amount initially at the end of 10 months, the annual Simple interest is $ 2100 , at the end of the 18 months the balance is $ 2180 .

Solution Summary: The author explains the formula for the simple interest, which is 2100, and the 18-month balance.

Concept explainers

Videos

the original amount or principle amount initially at the end of 10 months, the annual Simple interest is $2100, at the end of the 18 months the balance is $2180.

Want to see the full answer?

Chapter 8 Solutions