# math

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Bernie invested a sum of money 8 yr ago in a savings account, which has since paid interest at the rate of 3%/year, compounded monthly. His investment is now worth \$39,396.92. How much did he originally invest?

\$ ?

• math -

P = Po(1+r)^n.

P = \$39,396.92.

Po = ?.

r = (3%/12) / 100% = 0.0025 = Monthly %
rate expressed as a decimal.

n = 12Comp/yr * 8yrs = 96 Compounding
periods.

P = Po(1.0025)^96 = \$39,396.92
Po*1.27087 = 39,396.92
Po = \$31,000.00 = Initial deposit.

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