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How much did you deposit at the end of each month into an investment account to pay 6.5% compounded monthly to have $3 million when you retire and 37 years

Sagot :

Answer:

$272559.70

Step-by-step explanation:

So, let's start with what we know

This problem should be solved with the formula

A = P ( 1 + r/n)^nt

The variable A is the final amount

A = 3000000

This is the amount we want to achieve

The variable P is the principle, the amount of money you put in a bank to earn interest

We have to solve for this value

The variable r is the interest rate

r = 0.065

Note: I converted the percent to a decimal, so we can use it in the formula

The variable n is the amount of times interest is compounded

n = 12

The interest is compounded monthly in a year, so 12 times

The variable t is the amount of time you have to earn the interest

t = 37

So, let's solve for the value P with the values we know

3000000 = P ( 1 + 0.065/12)^(12x37)

3000000 = P(11.0067628047)

3000000 / 11.0067628047 = P(11.0067628047) / 11.0067628047

272559.702905 = P

P = 272559.70

Note: I rounded to the nearest cent, since there isn't a value of USD lower than 1 cent.

So, there you have it, a principle of 272559.70 will get you 3000000 in 37 years given that interest is compounded monthly at 6.5% interest rate

If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it!