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soldier1979 [14.2K]
3 years ago
12

Use the appropriate compound interest formula to compute the balance in the account after the stated period of time 24,000 is in

vested for 2 years with an APR of 6​% and daily compounding.
Mathematics
1 answer:
VLD [36.1K]3 years ago
7 0

We know the compound interest formula is given by

A=P(1+\frac{r}{n} )^{nt}

Now, we have been given that 24,000 is invested for 2 years with an APR of 6​% and daily compounding. Thus, we have

P= 24,000\\
\\
t=2\\
\\
r=0.06\\
\\
n=365

On substituting these values in the above formula for the compound interest, we get

A=24000\left ( 1+\frac{0.06}{365} \right )^{365\cdot 2}\\
\\
\text{On solving this, we get}\\
\\
A=27059.7

Therefore, the balance in the account after 2 years is 27059.7

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