At an interest rate of 5 percent, $200 would earn $10 in one year.
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It is 80 currency units.
Kate invested 4500.
That completely depends on what rate of interest you can expect your investment to earn, and how often you can expect the investment interest to be compounded. The assumed rate of interest has more effect on the final value than even the annual payment has, yet the question ignores it completely.
Oh, dude, it's like super simple math. So, to calculate the principal amount P, you just divide the interest by the interest rate times the number of years. In this case, 40 divided by (10% times 5 years) gives you the principal amount P. That's like, what, 80 bucks? Math is fun, right?
The first responder posted this response:$1,280.08====================================The next responder posted this response:Assuming the 5% interest rate is the nominal annual rate, the first step is to calculate the effective interest rate.ieffective = (1+r/m)m - 1where r is the nominal rate (.05) and m is the compounding periods per year (semiannual = 2 compoundings per year).ieffective = (1+.05/2)2 - 1 = .0506Simply use this effective rate to solveFuture Value = Present Value * (1+i)nwhere i is the effective interest rate and n is the number of years.F = 1000*(1+.0506)5 = $1280.08