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A bank offers a CD that pays a simple interest rate of 2.5%. How much must you put in this CD now in order to have $4,000 for a home-entertainmentcenter in 2 years.

Sagot :

The formula to calculate Simple Interest is given as

[tex]I=\frac{\text{PRT}}{100}[/tex]

The question provides the following parameters:

[tex]\begin{gathered} R=2.5 \\ T=2 \end{gathered}[/tex]

If the amount to be had now is $4000, which is inclusive of the interest to be had over the period, this means that

[tex]P+I=4000[/tex]

If we substitute the value for I, we have a new equation, such that

[tex]\begin{gathered} P+\frac{\text{PRT}}{100}=4000 \\ \therefore \\ P(1+\frac{RT}{100})=4000 \end{gathered}[/tex]

Substituting the values into the equation, we can solve for P as

[tex]\begin{gathered} P(1+\frac{2.5\times2}{100})=4000_{} \\ P(1+0.05)=4000 \\ 1.05P=4000 \\ P=\frac{4000}{1.05} \\ P=3809.52 \end{gathered}[/tex]

The answer is $3,809.52