Exponential growth because maths is good
Answer: choice A) 7017
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Work Shown:
The first term is a_1 = 24 and we go up by 7 each time.
The common difference is d = 7
The nth term formula we'll use is
a_n = a_1 + (n-1)*d
a_n = 24 + (n-1)*7
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The 1000th term corresponds to n = 1000
Replace every n with 1000
Then use the order of operations (PEMDAS) to simplify
a_n = 24 + (n-1)*7
a_1000 = 24 + (1000-1)*7
a_1000 = 24 + (999)*7
a_1000 = 24 + 6993
a_1000 = 7017
Answer:
31 children and 290 adults
Step-by-step explanation:
Let a = number of adults and c = number of children.
a + c = 321
2a + 1.75c = 634.25
Multiply both sides of the the first equation by -2 and add it to the second equation.
-2a - 2c = -642
(+) 2a + 1.75c = 634.25
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-0.25c = -7.75
Divide both sides by -0.25
c = 31
Use the first equation to find a.
a + c = 321
Substitute 31 for c.
a + 31 = 321
Subtract 31 from both sides.
a = 290
Answer: 31 children and 290 adults
What is the third term of the sequence defined by the recursive rule f(1)=3 f(n)=f(n-1)+4
Need f(2):
f(2)=f(2-1)+4
f(2)=f(1)+4
f(2)=(3)+4=7
FIND f(3):
f(3)=f(3-1)+4
f(3)=f(2)+4
f(3)=(7)+4
f(3)=11
The length of each of the equal sides is become x = (3y-4) cm
According to the statement
we have given that the perimeter of the isosceles triangle and length of third side. and we have to find the length of same side of triangle.
So,
An isosceles triangle is a triangle that has two sides of equal length.
Let the equal sides of isosceles triangle be x cm each.
We know that the
Sum of sides of a triangle = perimeter
x+x+(3y-7) = 9y-15
2x = 9y-3y-15+7
After solving the equation it become
2x= 6y-8
x=(6y-8)/2
Now the length of equal sides is x=3y-4
So, The length of each of the equal sides is become x = (3y-4) cm
Learn more about isosceles triangle here
brainly.com/question/1475130
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