112k views
9 votes
Samuel is going to invest in an account paying an interest rate of 5% compounded

continuously. How much would Samuel need to invest, to the nearest dollar, for the
value of the account to reach $77,000 in 9 years?

2 Answers

10 votes

Answer:

49097

Explanation:

Well the answer was in delta math what can I say

User Selfboot
by
5.1k points
7 votes

Answer:

$49677.4

Explanation:

Given data

Interest rate r= 5%

Final amount A = $77,000

time t= 9 years

let us apply the compound interest formula


A=P(1+r)^t

Substitute


77000=P(1+0.05)^9\\\\77000=P(1.05)^9\\\\77000=P*1.55

Divide both sides by 1.55

P=77000/1.55

P=$49677.4

Hence the principal amount should be $49677.4

User AndMarkus
by
5.2k points