2.2360679775 is the square root of 5.
1/4 or 25% because...
The probability that Maine picks an apricot is 4/8
The probability that Maine picks an apricot after putting the first apricot back is still 4/8
4/8 x 4/8 = 16/64 = 1/4
Use slope formula:
m = (y2-y1) / (x2-x1)
-1/4 = 6-2 / 1/2 - x
-1/4 = 4 / 1/2 - x
-1(1/2 - x) = 4(4)
-1/2 + x = 16
x = 16 1/2 or 33/2
Perhaps the most concise way to factor is by "completing the square" which is how the quadratic formula is derived...
x^2+6x+8=0 move constant to other side, subtract 8 from both sides
x^2+6x=-8, halve the linear coefficient, square it, then add that to both sides, in this case (6/2)^2=3^2=9
x^2+6x+9=1 now the left side is a perfect square of the form
(x+3)^2=1 take the square root of both sides
x+3=±√1 subtract 3 from both sides
x=-3±√1
x=-3±1
x=-4 and -2
Since the zeros occur when x=-4 and -2 the factors of the equation are:
(x+2)(x+4)
Answer:
Tom's balance at the end of month 5 = 1,871.77
Step-by-step explanation:
a = 1600
ar = 1664
ar² = 1730.56
common ratio, r = ar/a
= 1664/1600
= 1.04
r = 1.04
what will toms balance be at the end of month 5
Month 5 = ar⁴
= 1600 * 1.04⁴
= 1600 * 1.16985856
= 1,871.773696
Approximately 1,871.77
Tom's balance at the end of month 5 = 1,871.77
