Answer:
503
Step-by-step explanation:
For an arithmetic sequence, the n-th term is found by
To find 
(the common difference) we can simply subtract one of the terms by the last, for example:
The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:
We also have to know that 
stands for the first term of the sequence, which in this case is 311.
Now that we know this, let's find the 32nd term
Good luck!
Answer:
1) x = (a+c)/b
2) The equation is correct no matter what value x takes.
Step-by-step explanation:
1) a−(a+b)x=(b−a)x−(c+bx)
<=> a - ax - bx = bx - ax - c - bx
<=> a - ax - bx - (bx - ax - c - bx) = 0
<=> a - ax - bx - bx + ax + c + bx = 0
<=> a - ax + ax - bx - bx + bx + c = 0
<=> a - bx + c = 0
<=> bx = a + c
If b ≠ 0, x = (a+c)/b
2) 2(3x−5a)+9(2a−7b)+3(5a−2x)=0
<=> 2×3x + 2×(-5a) + 9×2a + 9× (-7b) + 3×5a + 3×(-2x) = 0
<=> 6x -10a + 18a - 63b + 15a - 6x = 0
<=> (6x - 6x) + (15a - 10a + 18a) - 63b = 0
<=> 23a - 63b = 0
<=> 23a = 63b
=> a = 63b/23
with all values of x, the equation is correct.
Answer:
f=
1
/4
y+
−1
/2
Step-by-step explanation:
Let's solve for f.
y=5x^0+4x−3
Step 1: Flip the equation.
4x+2=y
Step 2: Add -2 to both sides.
4x+2+−2=y+−2
4x=y−2
Step 3: Divide both sides by 4.
4x
/4
=
y−2
/4
x=
1
/4
y+
−1
/2
=f=
1
/4
y+
−1
/2
<h3><em><u>brainliest please?</u></em></h3>
Answer:
The explicit formula that can be used is 
The account's balance at the beginning of year 3 is 
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
14 feet I think..........................
