Alice starts off with $650. Next she puts $300 into the bank. This gives us $950. Theeenn she takes out $120 which leaves us with $830. She transfers $125 to her checking which takes away $125. This means 830 - 125 which is 680 or $680. The writes checks for $43 and $28 which mean she looses $43 and $28. Minus the $43 would be $637 and minus the $28 would be $609. At the end of the month Alice has a balance of $609.
Answer:
The answer is 8.24%.
Step-by-step explanation:
The rate r = 8% is for 1 year or 52 weeks.
As given there are 13 weeks term so total there will be = 4 terms.
So, n = 4
The effective interest rate R is given by:
R = 
= 
= 
= 0.0824
And in percentage, it is 8.24%.
Answer: 
Step-by-step explanation:
This could be written in index form as :
By laws of indices , we will equate their power , that is :
Expanding , we have :
factorising the Quadratic equation , we have :
Therefore:
or 
Answer:
Part A = 3 years
Part B = $3400
Step-by-step explanation:
To find this, we can model the value of the computer as V = A(.5)^x, in which x is the number of years. To find how long it takes to get to 12.5%, we can ignore all but the exponential part of the function and set equal to the percentage.
.125 = (.5)^x
3 = x
To find the initial value of the computer, use the formula created and solve for A.
V = A(.5)^x
425 = A(.5)^3
425 = A(.125)
3400 = A
Without trying to list all of them, I just now thought of a way to figure out the number of different possibilities:
The total can be made from:
-- zero, 1, 2, or 3 quarters . . . 4 choices
-- zero, 1, or 2 dimes . . . . . . . 3 choices
-- zero or 1 nickel . . . . . . . . . . 2 choices
and
-- zero, 1, or 2 pennies . . . . . . 3 choices
So there are (4 x 3 x 2 x 3) = 72 different possible combinations of coins
Almost all of the possible combinations appear to be unique. I do
see one possible duplication: 1qtr is the same thing as (2dim + 1nkl).
That reduces the number somewhat, but I don't really know how to handle it.
So the number of different amounts of change is a few less than 72 .
I hope this answer is worth 5 points.
