Answer:
26*26*26 = 17576 ways to select 3 letters
10*10= 100 ways to select 2 numbers
So then the total number of ways are:
possible ways
Step-by-step explanation:
For this case we assume that we have 26 letters from A to Z and 10 numbers from 0 to 9 .
And we want to calculate the number of possible passwords possible if the password consists of 3 letters followed by 2 digits.
And for this case we can use the multiplication principle of combinatories, since we don't have any restriction about the letters of the numbers we can have repetition of letters or numbers.
For the number of possible letters:
26*26*26 = 17576 ways to select 3 letters
10*10= 100 ways to select 2 numbers
So then the total number of ways are:
possible ways
Answer:
X ≥9 years after 2009.
Step-by-step explanation:
Y=4x+4
Y-4=4x
X=(Y-4)/4
Y=number of U.S. households, in millions.
Y≥40
Y-4≥36
(Y-4)/4≥9
So, X≥9.
Answer:
$34
Step-by-step explanation:
I'd work backwards.
For the third book, she paid all her remaining money. The problem says she paid "1/2 her leftover money + $3". This means that: (let m = money used to buy book 3)
m = 1/2m + 3
1/2m = 3
m = 6
For the second book: (let n = money before book 2)
n - m (money left after book 2) = 1/2n + 2
1/2n +2 is money used up for book, which is the same as n-m.
n = 1/2n + 2 + m
1/2n = 2 + m = 2 + 6
1/2n =8
n = 16
For the first book, she spent 1/2 her money + 1. If o = money before book 1 (or the whole allowance):
o - n = 1/2o + 1
o = 1/2o + n + 1 = 1/2o + 16 + 1
1/2o = 17
o = 34
Check!
Spent 17 (half 34) + 1 on book 1
16 left
Spent 8 (half 16) +2 on book 2
6 left
Spent 3 (half 6) + 3 on book 3
0 left
The preparation of Reading Readiness, Inc.'s multi-step Income Statement for the month ended January 31 is as follows:
Reading Readiness, Inc.
Income Statement
For the month ended January 31
Sales Revenue $175,500
Less:
Sales Returns 4,700
Sales Discounts 6,000
Net Sales $164,800
Cost of Goods Sold 67,700
Gross profit $97,100
Expenses:
Salaries and Wages $25,900
Depreciation Expense 13,800
Rent Expense 24,000
Operating expenses $63,700
Operating income $33,400
Interest Expense 1,600
Income before tax $31,800
Income tax expense 7,700
Net income $24,100
Data and Calculation:
Gross profit percentage = 59% ($97,100/$164,800 x 100)
Thus, the net income after deducting the income tax expense is $24,100.
Learn more: brainly.com/question/24257787
Answer:
The right angle's vertex.
Step-by-step explanation:
A right angle is 90 degrees. The vertex is at the middle of the angle, so that point is used to draw a segment in the middle of the right angle.
