Question 263110
The amount is expressed as
{{{A = P(1+r/2)^2}}}
step 1 - divide by P to get
{{{(A/P) = (1+r/2)^2}}}
step 2 take a square root to get
{{{sqrt(A/P) = 1 + r/2}}}
step 3 - subtract 1 to get
 {{{sqrt(A/P) - 1 = r/2}}}
step 4 - multiply by 2 to get
{{{2sqrt(A/P) - 2 = r}}}
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P = $200 ; r = 10%.
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{{{A = 200(1+.10/2)^2}}}
which is
{{{A = 200(1+.05)^2}}}
and then
{{{A = 220.50}}}