Part 1: An amount of $1000 is invested into an account that pays 5% per annum simple interest on a monthly basis. 1 Calculate the amount of interest paid per month. 2 Find the value of this investment after the first three months. 3 What do you notice about this sequence? What sort of sequence is it? 4 Write the general formula that can be used to find the amount of the investment after 1 months. 5 Use your formula to calculate the value of investment after two years.

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,...
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8 Conceptual Which type of series models simple interest? Which type
models compaund interest?
9 Conceptual How are outcomes and growth paterns relatad?
Transcribed Image Text:8 Conceptual Which type of series models simple interest? Which type models compaund interest? 9 Conceptual How are outcomes and growth paterns relatad?
Investigation 8
Part 1:
An amount of $1000 is invested into an account that pays 5% per annum
simple interest on a monthly basis.
1 Calculate the amount of interest paid per month.
2 Find the value of this investment after the first three months.
3 What do you notice about this sequence? What sort of sequence is it?
4 Write the general formula that can be used to find the amount of the
investment after 2 months.
5 Use your formula to calculate the value of investment after two years.
Part 2:
An amount of $1000 is invested into an account that pays 5% per annum
compound interest. Interest is compounded monthly.
1 Calculate the amount of interest paid after the first month.
2 Find the value of the investment after the first month.
3 Continue this process for the second and third months.
4 What do you notice about this sequence? What sort of sequence is it?
5 Write the general formula that can be used to find the amount of the
investment after z months.
6 Use your formula to calculate the value of investment after two years.
7 Compare your answers from the final question of each part. Which
investment is worth more; the simple interest or the compound
interest?
Transcribed Image Text:Investigation 8 Part 1: An amount of $1000 is invested into an account that pays 5% per annum simple interest on a monthly basis. 1 Calculate the amount of interest paid per month. 2 Find the value of this investment after the first three months. 3 What do you notice about this sequence? What sort of sequence is it? 4 Write the general formula that can be used to find the amount of the investment after 2 months. 5 Use your formula to calculate the value of investment after two years. Part 2: An amount of $1000 is invested into an account that pays 5% per annum compound interest. Interest is compounded monthly. 1 Calculate the amount of interest paid after the first month. 2 Find the value of the investment after the first month. 3 Continue this process for the second and third months. 4 What do you notice about this sequence? What sort of sequence is it? 5 Write the general formula that can be used to find the amount of the investment after z months. 6 Use your formula to calculate the value of investment after two years. 7 Compare your answers from the final question of each part. Which investment is worth more; the simple interest or the compound interest?
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