An investment of $15,300.00 earns 2.6% annual interest, compounded continuously. If no funds are
added or removed from this account, what is the future value of the investment after 35 years?
Round your answer to the nearest penny.

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

P = 15300

r = 2.6% = 2.6/100 = 0.026

t = 35 years

Therefore,

A = 15300 x 2.7183^(0.026 x 35)

A = 15300 x 2.7183^0.91

A = $38010.4

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

what are ur choices?