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Try to fill in the formula

which variable/number are you having trouble with?

A, P, N

A = 3000
P = 100
n = 12
right?

yes

what do you have so far?

\[3000=100(1+\frac{ 1 }{ 12 })^{(12)t}\]

how would i find t

ok. great. The only change is 1/12 should be 0.02/12 because the interest rate is 2%

To solve it, start by dividing by the 100 and then simplifying the stuff in parentheses

\[30= (1.0016)^{(12)t}\]

To solve for t, divide by (12 ln 1.0016)

if you have to round

did you get it?

I get 177.28737576

but it is not in the choices

Throw a few more 6's on the 1.0016 and you'll come up with the first answer

Wow thank you. this is complicated math.

You're welcome. yeah it is. And it's pretty messed up that 3 of the choices were so close together.