Answer:
For part a)
130 = 10/2[2a+(10-1)d]
Simplify, u get
2a + 9d = 26.................(1)
Also U5 = a + (5-1)d = 3a
Simplify, u get
a= 2d...................(2)
Substituting for a in equation 1,
2(2d)+9d= 26
Solving for d, we get
d = 2
In part b) substituting for d in equation 2 to get the first term
a = 2(2) = 4
Part c) the no. of terms required can be obtained by solving
28 = 4+(n-1)2
n = 13
Answer:
The student must pay 4247.5 - 4000 = 247.50 dollars in interest
Step-by-step explanation:
Answer:
A) 13.4 feet
Step-by-step explanation:
You need to use the Pythagorean theorem:
L = 
= 13,4 feet
A the slope of the line is 1
to calculate the slope m , use the ' gradient formula '
m = ( y₂ - y₁ ) /( x₂ - x₁ )
where (x₁, y₁ ) = 6, 3) and (x₂, y₂ ) = (9, 6)
m = 
= 
= 1
cot(<em>x</em>) = cos(<em>x</em>) / sin(<em>x</em>)
so
cos(<em>x</em>) / cot(<em>x</em>) = 1 / (1/sin(<em>x</em>)) = sin(<em>x</em>)
Then
sin²(<em>x</em>) + sin(<em>x</em>) cos(<em>x</em>) / cot(<em>x</em>) = sin²(<em>x</em>) + sin²(<em>x</em>) = 2 sin²(<em>x</em>)
