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Financing Word Problem - HELP!

How much should Jethro invest now to have $10 000 in 3 years time? The money will be invested at 5%/ a compounded monthly.

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Katherine P. | Shoreview Area Math Tutoring and Test PrepShoreview Area Math Tutoring and Test Pr...
5.0 5.0 (552 lesson ratings) (552)
1
Hi Natalie,
 
I see that you are posting a lot of similar problems. Here is one general formula that will help you with these sorts of economics/algebra-based problems. It's the compound interest formula.
 
A = P(1+r/n)^(nt)
 
The amount (A) is equal to the principal (P, the starting amount) times 1 plus the interest rate (r, as a decimal) divided by the number of compoundings per year (n), raised to the number of compoundings per year (n) times the number of years (t).
 
 
For this problem, you are asked to find P.
 
1.) Plug in all of the pieces of information you have:
 
10,000 = P (1+0.05/12)^(12*3)
 
2.) Rearrange the equation to solve for P.
 
P = 10,000/[(1+0.05/12)^(36)]
 
 
 
 
Deanna L. | Electrical engineering major and music lover with MIT degreeElectrical engineering major and music l...
4.9 4.9 (120 lesson ratings) (120)
0
three years compounded monthly is twelve times three or 36 periods. so somef amount x times 1 plus .05/12, raised to the 36th power equals 3000. solve for x..hope that helps.