Answer:
Company B is the better deal. Diego will save $31.5.
Step-by-step explanation:
First, find the area of the rectangle: 45*30=1350 sq.ft.
Next, find out how much it will cost for Company A: $3.9 for 2 x 5 ft (10 sq.ft)
Divide 1350 by 10 to see how many of their sod rolls will fit into his yard=135.
Multiply $3.9 by 135=526.5$
Do the same with Company B: $150 for 450 sq.ft plus $45 delivery.
Dived 1350 by 450 to see how many rolls= 3
Multiply $150 by 3= $450, then add $45= $495
Subtract Company B's $495 from Company A's $526.5= $31.5 <-how much Diego saved.
Answer with Step-by-step explanation:
We are given S be any set which is countable and nonempty.
We have to prove that their exist a surjection g:N
Surjection: It is also called onto function .When cardinality of domain set is greater than or equal to cardinality of range set then the function is onto
Cardinality of natural numbers set =
( Aleph naught)
There are two cases
1.S is finite nonempty set
2.S is countably infinite set
1.When S is finite set and nonempty set
Then cardinality of set S is any constant number which is less than the cardinality of set of natura number
Therefore, their exist a surjection from N to S.
2.When S is countably infinite set and cardinality with aleph naught
Then cardinality of set S is equal to cardinality of set of natural .Therefore, their exist a surjection from N to S.
Hence, proved
Answer: the lowest commission is $163.96
Step-by-step explanation:
Let x represent the lowest monthly commission that a salesman earned.
Let y represent the highest monthly commission that a salesman earned.
The lowest monthly commission that a salesman earned was only 1/5 more than 1/4 as high as the highest commission he earned. This means that
x = y/4 + 1/5 - - - - - - - - 1
The highest and lowest commissions when added together equal $819. This means that
x + y = 819
x = 819 - y - - - - - - -2
Substituting equation 2 into 1, it becomes
819 - y = y/4 + 1/5
Multiplying through by 20, it becomes
16380 - 20y = 5y + 4
25y = 16380 - 4 = 16376
y = 16376/25 = 655.04
x = 819 - 655.04 = 163.96
it's 72°, since move two point
