Herky and Elaina want to compare their investment accounts to see how much they will have in the accounts after eight years
They substitute their values shown below into the compound interest formula.
|
Name
Herky
Elaina
Principal
$500
$400
Compound Interest Accounts
Interest Rate Number of Years
5%
8
6%
A = P(1 + r)
Compounded
Once a year
Once a year
Which pair of equations would correctly calculate their compound interests?
Herky: A - 500(1+0.08) 5. Elaina: A-400(1+0.08)
Herky: A-(500x 1) +(0.05) Elaina: A - (400x 1) +(0.06)
Herky: A - 500(1+0.05) 8 Elaina: A - 400(1+0.06) 8
Herky A - (500x 1) +(0.05) Elaina: A-(400 x 1)+(0.05)

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.