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Sagot :
Based on the model, the total amount of money in the joined account after the 5 weeks is $767.30
What are linear equations
Linear equations are equations that have constant rates
A linear equation is represented as:
y = mx+ b
In this case,
- m represents the deposit per week
- b represents the initial deposit
So, the linear equations are:
- y =153.46x --- for Monica
- y = 128.90+ 127.68x -- For Lauren
To calculate the number of weeks, when they have the same amount, we equate both equations
[tex]153.46x = 128.90 + 127.68x[/tex]
Collect like terms
[tex]153.46x -127.68x= 128.90[/tex]
[tex]25.78x= 128.90[/tex]
Solve for x
[tex]x= 5[/tex]
Substitute 5 for x in
[tex]y = 153.46x[/tex]
[tex]y = 153.46 * 5[/tex]
[tex]y = 767.30[/tex]
Hence, it will take 5 weeks for both accounts to have the same amount of $767.30
Read more about linear equations at:
https://brainly.com/question/14323743
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