beastmodepetty1766 beastmodepetty1766
  • 21-12-2020
  • Mathematics
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How many days will it take for a sum of $4,000 to earn $80 interest if it is deposited in a bank paying ordinary simple interest at the rate of 5%/year?

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warylucknow warylucknow
  • 22-12-2020

Answer:

It will take 146 days to earn an interest of $80.

Step-by-step explanation:

The simple interest formula is:

[tex]I=\frac{P\times r\times t}{100}[/tex]

It is provided that:

I = $80

P = $4,000

r = 5% p.a.

Compute the time required as follows:

[tex]I=\frac{P\times r\times t}{100}[/tex]

[tex]t=\frac{I\times 100}{P\times r}[/tex]

  [tex]=\frac{80\times 100}{4000\times 5}\\\\=0.4\ \years\\\\=0.4\times 365\ days\\\\=146\ days[/tex]

Thus, it will take 146 days to earn an interest of $80.

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