You are given $2000 and told to invest in one of the following accounts. Which account will give you the greatest return after 10 years? How much will that investment be worth. a) 3% compounded yearly b) 2.9% compounded daily c) 2.95% compounded monthly d) 2.97% compounded quarterly show work for all a,b,c,d and choose which will give greatest.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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You are given $2000 and told to invest in one of the following accounts. Which account will give you the greatest return after 10 years? How much will that investment be worth.

a) 3% compounded yearly

b) 2.9% compounded daily

c) 2.95% compounded monthly

d) 2.97% compounded quarterly

show work for all a,b,c,d and choose which will give greatest.

Expert Solution
Step 1

Formula of compounded investment:

A=P1+rnnt

where

A= Ending Amount

P=Principal Amount

r=Interest rate

n- number of times interest is compounded per unit t

t= time

 

Step 2

a)

Given,

P=2000r=3100t=10n=1

Step 3

Then,

A=$20001+310010=$2687.83

Step 4

b)

Given,

P=$2000r=2.9100n=365t=10

Step 5

Then,

A=$20001+2.9100×3653650=$2672.82

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