Mathematics: PLEASE HURRY Jacquees deposited $1900 into an account that earns 4% interest compounded semiannually. After T years, Jacquees has $3875.79 in the account. Assuming he made no additional deposits or withdrawals, how long was the money in the account? Compound interest formula: v(t)=p(1+r/n)^nt T= years since initial deposit N= Number of times compounded per year R= annual interest rate (as a decimal ) P= initial (principal) investment V(t)= The value of investment after T years - 2 years -9 years

PLEASE HURRY Jacquees deposited $1900 into an account

molly7392

24.01.2022

t=18 years

Step-by-step explanation:

A year has two semesters, then

n = 2v(t)=p(1+r/2)2t

3875.79 = 1900∗(1+(0.04/2))^2t

2.0398895 = (1+0.042)^2t

Apply natural logarithm on both sides

ln(2.0398895) = ln[(1+0.042)^2t]

Then simplify,

0.712896 = 2t∗ln(1.02)

t = 0.712896 / (2∗ln(1.02))

t=18 years

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