The answer is: 70 .
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Explanation:
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(20/100) x = 14; solve for "x".
(20/100) = 2/10 = 1/5 ;
(1/5) x = 14
x/5 = 14 ;
x = 14 * 5 ;
x = 70 . The answer is: 70 .
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The general form of a polynomial is: x² + bx + c = 0. Substituting the roots,
3² + b(3) + c = 0
3b + c = -9 --> eqn 1
(5 + √5)² + (5 +√5)(b) + c = 0
(5+√5)b + c = -30-10√5 --> eqn 2
Solving both equations simultaneously by subtracting eqn 2 from eqn 1,
(-2 - √5)b = 21 + 10√5
b = -8 - √5
Using eqn 1,
3(-8 - √5) + c = -9
-24 - 3√5 + c = -9
c = -9 + 24 + 3√5
c = 15 + 3√5
Hence, the polynomial is: <em>f(x) = x² + (-8 - √5)x + (15 + 3√5)</em>.
We are given
P = $754.43
r = 13.6% annual
for a.
A = 150
for b.
A = 300
First, change the interest into effective monthly
i = (1 + 0.136/12)^12 - 1
Solve for i
Next, use the general formula
A = P i ( 1 + i)^n / (1 + 1)^n - 1
Subsitute P, i, and A for a and b.
Then, solve for n for a and b.
Jason likely missed placed the decimal, because 3 x 1 = 3, and if the decimal was between 2 and 5, the number would be near 3.