Respuesta :

Answer: $11,233.67, $81,661.70

Step-by-step explanation:

[tex]A = Pe^{rt}[/tex]     where A is the total amount earned, P is the principal amount invested, r is the interest rate, and t is the time it is invested

What do we know?

A = unknown

P = 10,000

r = .07 (converted 7%)

t = 3 years

[tex]A = Pe^{rt}[/tex]

[tex]A = 10,000e^{(.07)(3)}[/tex]

[tex]A = 10,000e^{.21}[/tex]

A = 10,000(1.2333678)

A = 11,233.3678

rounded to the nearest penny, A = 11,233.37

[tex]A = Pe^{rt}[/tex]

[tex]A = 10,000e^{(.07)(30)}[/tex]

[tex]A = 10,000e^{2.1}[/tex]

A = 10,000(8.16617)

A = 81661.70

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Answer: [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

  [tex]ln\sqrt[5]{e^{2} }[/tex]

= [tex]ln(e^{\frac{2}{5} } )[/tex]

= [tex]\frac{2}{5}[/tex]

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