A bank offers a CD that pays a simple interest rate of 10.5​%. How much must you put in this CD now in order to have ​$1500 for a​ home-entertainment center in 2 years.

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Answer:

Required amount is $1239.669

Step-by-step explanation: Let P be the required amount. Given that

P + SI = 1500 .... (i)

We know that simple interest

[tex]SI=\frac{PRT}{100}[/tex].

Given R = 10.5, T = 2. So,

[tex]SI=\frac{P\times 10.5\times 2}{100}=\frac{21P}{100}[/tex]

Put in equation (i) we get

[tex]P+\frac{21P}{100}=1500[/tex]

[tex]\frac{121P}{100}=1500[/tex]

[tex]P=\frac{1500\times 100}{121}=\$1239.669[/tex]

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