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intrest calculation

if David invest $1000 in an account paying an annual percentage rate of 12% compunded quaterly, how much would he have in your account at the end of 1 year, 10 year and 100 year?

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Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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A = p( 1 + r/ 4 ) ^ 4y               A- value of investment after the gain
                                               r - interest rate.
                                               y - number of years.
 
A = 1000 ( ! + 12%/ 4 ) 4(1)=
 
    = 1125.51
 
A = 1000 ( 1 + 0.12/4) ^ 4(10)=
   = 1000 * ( 1.03 ^40)=3262.04
A = 1000 ( 1.03^ 400) = 136423718.20
Kirill Z. | Physics, math tutor with great knowledge and teaching skillsPhysics, math tutor with great knowledge...
4.9 4.9 (174 lesson ratings) (174)
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S=P*(1+r/4)4t, where t is the number of years, r is the annual interest rate (r=0.12 in your problem), P is the principal ($1000 in your problem).