This is a solving system of linear equations question I solved it already can you create a table solving the problem and using my calculations ## Finding Rates of Interest on InvestmentsKerry earned a total of $900 last year on his investments. If $7000 was invested at a certain rate of return and $9000 was invested in a fund with a rate that was 2% higher, we need to find the two rates of interest.Given:- Total earnings from investments: $900- Amount invested at a certain rate: $7000- Amount invested at a rate 2% higher: $9000Let $ x $ be the rate of interest at which $7000 is invested and $ x+2 $ be the rate of interest at which $9000 is invested.This implies:\[ \frac{7000 \cdot x}{100} + \frac{9000 \cdot (x+2)}{100} = 900 \]Simplifying the equation:\[ 70x + 90x + 180 = 900 \]\[ 160x = 900 - 180 \]\[ 160x = 720 \]\[ x = \frac{720}{160} \]\[ x = \frac{9}{2} \]\[ x = 4.5 \]This means:- $7000 was invested at a 4.5% rate of interest.- $9000 was invested at $ x + 2 = 4.5 + 2 = 6.5 \%$ rate of interest.

Statement Reason SI = (P×r×t)/100 Formula of simple interest P =7000, t=1 Given data for 1st…

Kerry earned a total of $900 last year on his investments. If $7000 was invested at a certain rate of return and $9000 was invested in a fund with a rate that was 2% higher, find the two rates of interest.

Kerry earned a total of $900 last year on his investments. If $7000 was invested at a certain rate of return and $9000 was invested in a fund with a rate that was 2% higher, find the two rates of interest.

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Functions

Section9.CT: Test

Problem 16CT

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Question

This is a solving system of linear equations question I solved it already can you create a table solving the problem and using my calculations

## Finding Rates of Interest on Investments

Kerry earned a total of $900 last year on his investments. If $7000 was invested at a certain rate of return and $9000 was invested in a fund with a rate that was 2% higher, we need to find the two rates of interest.

Given:
- Total earnings from investments: $900
- Amount invested at a certain rate: $7000
- Amount invested at a rate 2% higher: $9000

Let $ x $ be the rate of interest at which $7000 is invested and $ x+2 $ be the rate of interest at which $9000 is invested.

This implies:
\[ \frac{7000 \cdot x}{100} + \frac{9000 \cdot (x+2)}{100} = 900 \]

Simplifying the equation:
\[ 70x + 90x + 180 = 900 \]
\[ 160x = 900 - 180 \]
\[ 160x = 720 \]
\[ x = \frac{720}{160} \]
\[ x = \frac{9}{2} \]
\[ x = 4.5 \]

This means:
- $7000 was invested at a 4.5% rate of interest.
- $9000 was invested at $ x + 2 = 4.5 + 2 = 6.5 \%$ rate of interest.

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