darruda1981 darruda1981
  • 06-03-2020
  • Mathematics
contestada

matthew invested $5000 in an account that earns 3.8% interest . how much did matthew have in his account after 3 years

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jdoe0001 jdoe0001
  • 06-03-2020

the assumption being "simple interest" rate of 3.8%, as opposed to "compound interest".

[tex]\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to 3.8\%\to \frac{3.8}{100}\dotfill &0.038\\ t=years\dotfill &3 \end{cases} \\\\\\ A=5000[1+(0.038)(3)]\implies A=5000(1.114)\implies A=5570[/tex]

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glennkie000
glennkie000 glennkie000
  • 21-01-2021

Answer:

$5591.93 would be the answer.

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