WHOEVER ANSWERS THIS WILL GET BRAINLIEST

496.8926

Step-by-step explanation:

20 = 100(1/2)^(t/214)

Divide both sides by 100

20/100 = 100(1/2)^(t/214) / 100

1/5 = (1/2)^(t/214)

log((1/2)^(t/214) = log(1/5)

(t/214) x log(1/2) = log (1/5)

(t/214) = log (1/5)

           ÷ log (1/2)

t/214 = 2.321928

(214) x (t/214) = (214) x (2.321928)

t = 496.892592

I hope this helps!

yes

step-by-step explanation:

they have to be opposite and reciprocal of eachother.

yes, gavin is right.

step-by-step explanation:

gavin is correct. 

this problem is about converting 9% per year to how many percent per quarter. the rate is still the same. it only differed in the time period. so, through dimensional analysis,

9% per year  × (1 year / 4 quarters) = 2.25% per quarter

if he was asked to convert 9% per year to how many percent per quarter  compounded quarterly, then you will not simply divide by four. this is because compounding is not linear.

hope this , have a good day. c;