Programs Math & Finance Majors: Questions Answered

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A user, currently a Math major, is considering a double-major in Finance and seeks help with a finance-related math problem. They need to determine the original investment amount given that the total interest earned on an investment at an 8.2% interest rate, compounded semiannually over 8.5 years, was $1,175.98. A formula is provided for solving the problem: P = A(1 + r/m)^(-mt), where A is the total amount, r is the interest rate, m is the number of compounding periods per year, and t is the time in years. After applying the formula, the user calculates the original investment to be $1,200.
rocomath
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Are there any Math/Finance Majors in here? I am currently a Math major, but I am also thinking about doing a double-major with Finance. I start this summer, so I still have time.
 
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Hi, I'm new to this site and may be in the wrong place. If so, kindly direct me to the right place.
I wold like to solve the following question:
If the total interest earned on an investment at 8.2% compounded semiannually for 8.5 years was $1,175.98, what was the original investment?
I would like to know what formula(s) to use.
Thank you in advance.
Makman
 
Makman said:
Hi, I'm new to this site and may be in the wrong place. If so, kindly direct me to the right place.
I wold like to solve the following question:
If the total interest earned on an investment at 8.2% compounded semiannually for 8.5 years was $1,175.98, what was the original investment?
I would like to know what formula(s) to use.
Thank you in advance.
Makman
You have to use the formula

P=A(1+r/m)^-(m*t)

A is you actual ammount
r is your rate
m is your compound, in your case m will be 2
t is the time in years

Remember that the formula has a negative exponent!
 
Thank you!
Yes, I worked it out. $1,200.

Much appreciated.
 
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