Answer:
120
Step-by-step explanation:
Since we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.
We use the permutation formula to find the answer, but before that let's check values.
n = 8
k = 5
Now since there are two letters already chosen we have to deduct two from both the value of n and k.
n = 6
k = 3
Now we can use the permutation formula:




The 3*2*1 cancels out and leaves us with:


So there are 120 possible ways to arrange eight letters into groups of five where order matters and the first two letters are already chosen.
<span>His earned income level are as follows.
The base amount is $14,138.50
</span><span><span>The amount over $62,450 = $82,500 - $62,450 =$20,050
The amount of tax on the third $20,050 is given by 31% of $20,050 = 0.31 x $20,050 = $6,215.5</span>
(i.e. Multiply line 3 by 31% = $6,215.5)
Total tax = $ 14,138.50 + $6,215.50 = $20,354
(i.e. Add lines 2 and 4 = $</span>20,354)
Answer:
You are building your kids a small desk, where the width is 1/3 of its length. The length of the desk is 6 feet. What is it’s width? What is the area of the desk?
Answer:
$4800
Step-by-step explanation:
Let x be the C.P of the painting.
Profit=10% of x
Profit=
If S.P increase by 240 then
Profit=15% of x=
For first case
S.P=C.P+ Profit
S.P=x+10x/100
S.P=
For second case
New S.P
=
According to question







Hence, the C.P of the painting=$4800