Multiply first equation by 2:
10x + 2y = 18
Subtract the second equation from this so that the 2y terms cancel:
10x - 3x = 18 - 4
7x = 14
x = 2
Plug into first equation to find y:
5(2) + y = 9
10 + y = 9
y = -1
The answer is (2,-1)
Answer:
{a , c}
Step-by-step explanation:
first find u intersection p
n(U n P ) = {a , b , c , d} n {b , d , e}
={d , b}
intersection means element or values which lies in both the sets
now to find p complement
note : p( bar at the top ) is read as p complement
p complement = n(U) - n(U n P)
={a , b , c , d} - {d , b}
={a , c}
n(U) -n(U n P) means the elements which is only in n(U ) but not in n(U n P)
The total amount that was raised for charity is £75.
<h3>What is the total amount raised?</h3>
Here is the sample space
1 2 3 4 5 6
Heads 1 4 9 16 25 36
Tails 1 8 27 64 125 216
Probability of getting a number greater than 30 = 4/12 = 1/3
1/3 x 450 = 150
Total value of people getting more than 30 : 150 x £1 = £150
Total amount paid = 50 x 450 = £225
Amount raised = £225 - 150 = £75
To learn more about probability, please check: brainly.com/question/13234031
#SPJ1
Answer:
The correct answer to the following question will be "70.56".
Step-by-step explanation:
The given values are:
Loan requires, PV = $100,000
Years = 20
Number of months, n = 240
Rate interest = 4.90000%
Monthly rate, r = 0.408333%
Monthly rental payment = $725
As we know,
![PV=PMT\times (\frac{1}{r})\times [1-[\frac{1}{(1+r)^n}]]](https://tex.z-dn.net/?f=PV%3DPMT%5Ctimes%20%28%5Cfrac%7B1%7D%7Br%7D%29%5Ctimes%20%5B1-%5B%5Cfrac%7B1%7D%7B%281%2Br%29%5En%7D%5D%5D)
On putting the values in the above formula, we get
⇒ ![100000=PMT\times (\frac{1}{0.004083333})\times [1-(\frac{1}{(1+0.004083333^{240})})]](https://tex.z-dn.net/?f=100000%3DPMT%5Ctimes%20%28%5Cfrac%7B1%7D%7B0.004083333%7D%29%5Ctimes%20%5B1-%28%5Cfrac%7B1%7D%7B%281%2B0.004083333%5E%7B240%7D%29%7D%29%5D)
⇒ 
⇒ 
⇒ 
Now,
On putting the values, we get
⇒ 
⇒ 
If s represents the number of songs Kim downloads, her expenses for a month must satisfy the inequality
5.00 + 0.58·s ≤ 13.00
To solve this, subtract 5.00 to get the s-term by itself, then divide by the coefficient of s.
0.58·s ≤ 8.00
s ≤ 8.00/0.58 ≈ 13.79
The number of songs must be an integer, so we conclude Kim can download 13 songs, but not 14 songs.
Kim can download 13 songs without exceeding her budget.
