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6. You deposit $1000 a year into an account. This account earns 8% interest compounded yearly,(20 points)a) how much will you have after 10 years?b) How much total money did you put in the account.c) How much total interest did you earn?

Sagot :

Compound interest formuae :

A = P ( 1+r/100)^ n or A = P( 1+i)^n or A = P ((1 + i )^n -1 )/i

we will use the highlighted formular due to compounded yearly statement on the question:

where A = Accumulated amount;

P = original amount invested/ (borrowed )

n = number of years

r = interest rate as a percentage

i = r/100

Answer to (a )

A = P ((1 + i )^n -1 )/i

where n = 10; i = 8/100 =0.08 ; P = 1000

A = 1000 ( 1 + (8/100))^10 -1)/ 0. 08

A =1000 ( 14.48)

A =$14486.56

b. 1000 X 10 = $12000

c. you earned interest of $14486 - $12000 = $2486