Hudson invested $8,400 in an account paying an interest rate of 5.4%
compounded quarterly. Assuming no deposits or withdrawals are
made, how much money, to the nearest ten dollars, would be in the
account after 13 years?

Respuesta :

Answer: 16870

Step-by-step explanation:

The money that should be invested to the nearest ten dollars, would be in the account after 13 years is $16,870.

Calculation of the amount:

Since the invested amount is $8,400

The rate of interest is 5.4%

In quartely it should be [tex]= 5.4\% \div 4[/tex] = 1.35%

The time period is [tex]= 13 \times 4[/tex] = 52

So, here the future value be like

[tex]= \$8,400 \times (1 + 1.35\%)^{52}[/tex]

= $16,870

Hence, The money that should be invested to the nearest ten dollars, would be in the account after 13 years is $16,870.

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