Little Miss Buffet takes all the money from her piggy bank and puts it into a savings account at her local bank. The bank promises an annual interest rate of 2.5% on the balance, compounded semiannually. How much will she have after one year if her initial deposit was $200?
A. $205.00
B. $205.01
C. $205.02
D.$205.03
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OpenStudy (anonymous):
what is 2.5% of 200$
OpenStudy (anonymous):
\[\frac{ 2.5 }{ 100 } \times 200=\]
OpenStudy (anonymous):
what would u get?
OpenStudy (anonymous):
5
OpenStudy (anonymous):
good what is 200+5=
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OpenStudy (anonymous):
205
OpenStudy (anonymous):
see it says "compounded semiannually" so in one year she ll get 205$
OpenStudy (anonymous):
Thanks :)
OpenStudy (anonymous):
wait i am not sure i am right
OpenStudy (anonymous):
oh ok
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OpenStudy (anonymous):
oright sorry about plz discard my previous answer its wrong i forgot there was a formula for this
OpenStudy (anonymous):
\[A=p(1+\frac{ r }{ n })^{nt}\]
OpenStudy (anonymous):
p is the initial amount which is 200 in our case
r is the interest rate which is 0.025 always write in decimal form
n is the number of compounding a year which is 2 because every 6 month
t is the year which is 1
OpenStudy (anonymous):
plz sub values in formula and u ll get a correct answer :)
OpenStudy (anonymous):
\[A=200(1+\frac{ 0.025 }{ 2 })^{2}\]
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