Question of the day! Someone steals your N500. Same person owes you N100. So he uses the stolen N500 to pay you your N100, and you give him N400 change... How much did you lose??
Answers
Same person gives you 100, your balance is -400
You give them the 400 change, your balance is -800
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Both circle Q and circle R have a central angle measuring 110°. The area of circle Q's sector is 4π cm2, and the area of circle R's sector is 9π cm2. The radius of circle Q is 7 cm. Which is the radius of circle R
Answers
Answer:
1800
Step-by-step explanation:
Labor quantity variance= Actual quantity ×standard price - standard quantity ×standard price
Standard quantity=2×2600=5200
Labor quantity variance
5050×12-5200×12=1800
Answers
Answers
they should be 40
to kee p fractions the same multiply topo and bottom by same number
3/8 times 5/5=15/40
1/5 times 8/8=8/40
15/40+8/40=23/40
*You might beable to simplify it
Answers
Answer:
(8, 1)
Step-by-step explanation:
Lets say you had 2 points, (x₁, y₁) and (x₂, y₂). The midpoint of these two lines would be:
Lets use (6, -2) for (x₁, y₁) and (10, 4) for (x₂, y₂):
So the midpoint of AB would be (8, 1).
I hope you find my answer helpful.
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Answers
The nthterm for the sequence is 4n + n².
The two consecutiveterms in the sequence where the difference will be 245 are 120 and 121.
What is a sequence?
A sequence is a group of numbers where there is a relation between each consecutive value.
We have,
5, 12, 21, 32,
We see that,
The difference between the consecutive numbers is 7, 9, 11, 13, 15,
We can make a formula for the nth term.
4n + n²
Where n = 1, 2, 3, 4, ,,,,
Now,
Let the two consecutiveterms be n and (n +1).
4(n + 1) + (n + 1)² - 4n - n² = 245
4n + 4 + n² + 2n + 1 - 4n - n² = 245
4 + 2n + 1 = 245
2n + 5 = 245
2n = 240
n = 120
And,
n + 1 = 121
So,
The two consecutiveterms in the sequence where the difference will be 245 are 120 and 121.
Thus,
The nthterm for the sequence is 4n + n².
The two consecutiveterms in the sequence where the difference will be 245 are 120 and 121.
Learn more about sequence here:
#SPJ6
12-5 = 7
21-12 = 9
32-21 = 11
Second difference
9-11 = 2
11-9 = 2
second difference is constant so it could defined by quadratic formula,
u(x) = ax^2 + bx + c
because 2a = Second difference = 2
so a = 1
then u(x) = x^2 + bx + c
build equations from known values to find b and c
for x=1, u(1) = 5 = 1^2 + b(1) + c
b + c = 4 ...(1)
x=2, u(2) = 12 = 2^2 + b(2) + c
2b + c = 8 ... (2)
solve b = 4, c =0
so u(x) = x^2 + 4x ... formula for n term (i use x not n here)
difference between consecutive term is 245, we have
245 = u(x+1) - u(x)
245 = (x+1)^2 + 4(x+1) - (x^2 + 4x)
245 = x^2 + 2x + 1 + 4x + 4 - x^2 - 4x
245 = 2x + 5
x = 120
it's between term 120 and 121
graph is y=2