Answer:
line two is probably he line of best fit.
Write two equations with the given information:
1) x = 2y ( x is twice the value of y)
2) x + y = 42
Replace x in the second equation with the value of x in the first equation:
2y + y = 42
Simplify:
3y = 42
Divide both sides by 3:
y = 42 / 3
y = 14
Now we have the value for Y, solve for x by replacing y with 14:
x = 2y
x = 2(14)
x = 28
X = 28 and y = 14
Answer:
-6 ≥ x
Step-by-step explanation:
x + 6 ≥ 12 + 2x
Subtract x from each side
x-x + 6 ≥ 12 + 2x-x
6 ≥ 12 + x
Subtract 12 from each side
6-12 ≥ 12-12x
-6 ≥ x
Your formula is missing the exponent sign "^", it should read: P(1+r)^n. Re: what changes would increase your return? - the compounding period (continuous compounding is higher than annual compounding), the higher "r" is the higher the return. The higher P is the higher the return - the beauty of compounding interest...interest paid on interest earned (already paid).
Example: Formula for annually compounded interest at 4%:
$50(1.04)^5 = $60.83
vs. if you invested all of the $100 now...
$100(1.04)^5 = $121.67
you have invested only $50 more, but you receive...
interest on the $50 = (60.83 - 50) = 10.83
interest on the $100 = (121.67 - 100) = 21.67
if you wait to invest the additional $50 you will lose the opportunity to receive interest on it, and interest on the interest paid each year during the 5 year period.
Above example with continuous compounding: Formula: P(e)^(r*t) where r= rate (here I use 4%) and t = time...."e" is a constant for continuous compounding, roughly equivalent to: 2.71828
$50(e)^(0.04*5) = $50(1.2214) = 61.07
$100(e)^(0.04*5) = $100(1.2214) = $122.14
you can see that with continuous compounding (vs. annual compounding) you earn more interest because interest is compounded more frequently (and that interest earns interest)...
3x² - 7x - 8 = 0
We're asked about square roots so we won't try to factor; we'll go right for the quadratic formula,
x = ( 7 ± √(7² - 4(3)(-8)) )/(2(3)) = (7 ± √(49+96))/6 = 7/6 ± √145/6
145 = 5×29, so no square factors. The positive difference is
d = (7/6 + √145/6) - (7/6 - √145/6) = 2√145/6 = √145/3
so m=145, n=3 for a sum of
Answer: 148