Answer:
#3) 72; #4) 40,320; #5) 90.
Step-by-step explanation:
#3) The number of possible choices are found by multiplying the choices of flavors and the choices of toppings:
6*12=72.
#4) The ordering of 8 cards is a permutation, given by 8!=40,320.
#5) This is a permutation of 10 objects taken 2 at a time:
P(10,2) = 10!/(10-2)!=10!/8!=90.
P.S I had the same question once.
<u>Answer:</u> d. $62,080
<u>Step-by-step explanation:</u>
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The capital gain is the profit earned from an investment whereas the passive income is the income generated by very minimal daily efforts.
Given: Annual income earned by Lenny = 
Passive income = 
Capital gain = 
Now, 

Hence, Lenny's total gross income for the year = $62,080
Answer:
<u>The distance of the library in the map is 0.67 inches (Rounding to two decimal places)</u>
Step-by-step explanation:
1. Let's review all the information given for solving this question:
Scale factor for the map of the town = 0.5 inches: 3 miles
Distance from Niko's house to his school = 3 miles
Distance from Niko's school to the library = 4 miles
2. Let's find the distance of the library in the map
Distance of the library in the map = Distance of the library * Scale factor
Distance of the library in the map = 4 miles * 0.5 inches:3 miles
Distance of the library in the map = (2 miles * inches)/3 miles
Distance of the library in the map = 2 inches/3 (Miles are cancelled in the numerator and in the denominator)
<u>Distance of the library in the map = 0.67 inches (Rounding to two decimal places)</u>
Answer:
-439
Step-by-step explanation:
(s circle t) (negative 7) is a notation for a compound function.
A compound function is a function that has as an argument another function.
Another notation for this compound function is s(t(-7)), that is, the result of the function t(-7) is the value that will be used in the function s(x).
So, first we calculate the value of t(-7):
t(x) = 3x
t(-7) = 3*(-7) = -21
Now, we apply this value for s(x):
s(x) = 2 - x2
s(t(-7)) = s(-21) = 2 - (-21)^2 = 2 - 441 = -439
Answer: The drive was 24.32% full when the transfer began.
Step-by-step explanation:
Given: The rate of transferring file = 4.44 megabytes per second.
After 32 seconds, the amount of data on the drive = 384 megabytes
The amount of transferred data =
megabytes
Therefore, the amount of data in the drive at the beginning is given by :-

The drive had a maximum capacity of 1000 megabytes.

Hence, the drive was 24.32% full when the transfer began.