Answer:
8
Step-by-step explanation:
replace x with 4 and y with 2 in the equation
3x - 7y + 10
3(4) - 7(2) + 10
multiply
12 - 14 +10
add
-2 + 10 = 8
Answer:
See below.
Step-by-step explanation:
I will assume that 3n is the last term.
First let n = k, then:
Sum ( k terms) = 7k^2 + 3k
Now, the sum of k+1 terms = 7k^2 + 3k + (k+1) th term
= 7k^2 + 3k + 14(k + 1) - 4
= 7k^2 + 17k + 10
Now 7(k + 1)^2 = 7k^2 +14 k + 7 so
7k^2 + 17k + 10
= 7(k + 1)^2 + 3k + 3
= 7(k + 1)^2 + 3(k + 1)
Which is the formula for the Sum of k terms with the k replaced by k + 1.
Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.
But the formula is true for 1 term because 7(1)^2 + 3(1) = 10 .
So it must also be true for all subsequent( 2,3 etc) terms.
This completes the proof.
The probability of an event that has two possible outcomes is 1/2
<h3>What is Probability?</h3>
This refers to the likelihood of an event occurring and this can be found by calculating using a mathematical model.
It should be noted that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.
Read more about probability here:
brainly.com/question/24756209
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Answer:
let cp be x
mp= x+ (20% 0f x)= 1.2x
sp = mp -d%of mp= 1.2- 15% *1.2 =1.02x
profit = 40
sp-cp =40
1.02x-x=40
x=2000
cp =2000
mp= 1.2*2000=2400
Step-by-step explanation: