word problem

juicy123

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Jan 3, 2006
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problem : camilia received a $1200 prize for on of her essays. She decides to invest $1000 of it for college. Her bank offers two options. The first is a regular saving account that pays 2.5% interest every 6 months. The second is a COD that pays 5% interest each year.

A. with the savings account, how much would camilia have after 1 year? after 2 years?

work: savings 1 year---$1000 + 2.5 %(2) <-- [ 6 months * 2 = 1 year]
$1000+ 5% = $1050
after 2 years----
$1000+ 2.5% (4) <---[6months * 4 = 2 years]
$1000+ 10% = $1,100

B. with the COD, how much would camilia have after 1 year? After 2 years?
work: savings one year---
$1000+ 5% (one year)= $1050
after 2 years---
$1000+ 10% (5%*2 = 2years of interest) = $1100

C.Explain why you get different results for A and B:

what i dont get is.. that i got the same answers for each year.. so i must have dont something wrong im my process. i dont know what i did.
 
your interpretation on how the savings account works is incorrect ...

A = 1000(1 + 0.025)<sup>2t</sup>, where t is the number of years

for 1 year ... 1000(1 + 0.025)<sup>2</sup> = $1050.62

for 2 years ... 1000(1 + 0.025)<sup>4</sup> = $1103.81

for the CD ...

A = 1000(1 + 0.05)<sup>t</sup>

for 1 year ... 1000(1 + 0.05)<sup>1</sup> = $1050

for 2 years ... 1000(1 + 0.05)<sup>2</sup> = $1102.50
 
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