<span>the main formula is (a - b)² = a² -2ab + b²
</span><span>as for 49x^2 – 56x + 16, it is the same of (7x -4)²
so the </span>the factored form of 49x^2 – 56x + 16 = (7x -4)(7x -4)
a) For principal amount P, interest rate r, and number of years t, the amortization formula for the monthly payment A is ...
... A = P(r/12)/(1 -(1 +r/12)^(-12t))
... A = 22500·(0.06/12)/(1 -(1 +0.06/12)^(-12·20)) ≈ 161.20
The monthly payment is $161.20.
b) After 240 payments, the amount repaid is
... $161.20·240 = $38,688
c) (22500/38688)·100% = 58.2% is paid toward principal
The remaining amount, 41.8% is paid toward interest.
Answer:
Option D is correct
Margin of error(to four decimal places) = 0.0414
Step-by-step explanation:
Given: p = 65% = 0.65 and n = 500
Error of margin (E) is given by:
For a confidence level of 95%,
Substitute the value of , p and n in the above formula to calculate error of margin (E) :
Simplify:
E = 0.0414082288551
Therefore, the margin of error(round to four decimal places) = 0.0414
Answer:
x = 7 1/3
Step-by-step explanation:
First, add 1/2 and 6
1/2 + 12/2 = 13/2 = 6 1/2
Our equation now:
13/2 over 3 - x - 3 over 2 = 0
Next, divide 13/2 by 3
13/2 divided by 3 = 13/6
Our equation now:
13/6 over 3 - (x - 3) over 2 = 0
Now, find common denominators and simplify
13/6 - ((x - 3) times 3) over 6 = 0
22 - 3x over 6 = 0
Multiply by six on both sides
22 - 3x = 0
Subtract 22 from both sides
-3x = -22
Divide by -1
3x = 22
Divide both sides of the equation by 3
x = 22/3
x = 7 1/3
Hope this helps!