# Math

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\$ 2631 is deposited into an account for 15 years. Determine the accumulation if interest is 8.01 % compounded
(a) monthly, (b) daily, (c) continuously.

The accumulation based on

(a) monthly compounding is \$ ;

(b) daily compounding is \$ ;

(c) continuous compounding is \$

Thanks

• Math -

Pt = Po(1+r)^n.

a. r = (8.01%/12) / 100% = 0.006675 =
Monthly % rate expressed as a decimal.

n = 12 comp./yr * 15 yrs. = 180 comp.
periods.

Pt = 2631(1.006675)^180 = \$8713.48.

b. Pt = Po(1+r)^n.

r = (8.01%/360) / 100% = 0.0002225 =
daily % rate expresed as a decimal.

n = 360 comp./yr * 15 yrs. = 5400 comp.
periods.

Plug the calculated values of r and n
into the given EQ and solve.

c. Pt = Po*e^rt.

r = 8.01% / 100% = 0.0801 = Annual % rate expressed as a decimal.

rt = 0.0801/yr * 15yrs. = 1.2015.

Pt = 2631*e^1.2015 = \$8748.34.

• Math -

First name: Henry. not Henry00.

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