TeofiloD716979 TeofiloD716979
  • 25-10-2022
  • Mathematics
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Ethan and Evan are twins. They each deposit $3,000 into separate bank accounts.Their accounts each accrue interest annually as shown in the tables below.

Ethan and Evan are twins They each deposit 3000 into separate bank accountsTheir accounts each accrue interest annually as shown in the tables below class=

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HeelaD300407 HeelaD300407
  • 25-10-2022

Part A.

Ethan's account can be model as a linear equation since it is increasing at a constant rate of the form:

[tex]y=240x+3000[/tex]

And Evan's account can be model as a exponential equation of the form:

[tex]y=3000(1.08)^x[/tex]

Part B:

Evaluate the 1st and 2nd equation for x = 5:

[tex]\begin{gathered} y=240(5)+3000=4200 \\ y=3000(1.08)^5=4407.98 \\ so\colon \\ \frac{4407.98}{4200}=1.05 \end{gathered}[/tex]

It would be 1.05 higher

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