To find the rate add 1 to the annual rate divided by 365 days raised to the number of days left in the year minus 1.
r= (1 + 0.2319/365)^305 - 1
r = 0.2138
Now multiply by 100 for the percent:
0.2138 x 100 = 21.38%
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Answer:
A) 90
Step-by-step explanation:
"The sum of two integers is 23" becomes
a + b = 23
"the positive difference of the same two integers is 13" becomes
a - b = 13 (difference means subtract)
Now solve the system..
a + b = 23
a - b = 13 *use addition or elimination method, since b has opposite coefficients...
2a = 36 ( we add the two equations together)
a = 18 (divide by 2 on both sides)
Since a = 18, 18 + b = 23, gives us b = 5. (18 + 5 = 23)
ab = (18)(5) = 90
In y=ax²+bx+c, the vertex is when x=-b/(2a),
the x intercept is the value of x when y=0, and the y intercept is the value of y when x=0
in this case, a=-1, b=2, so the vertex is when x=-2/[2*(-1)]=1
when x=1, y=-(1)²+2*1+1=2, so the vertex is (1,2)
when x=0, y=1, the x intercept is (0,1)
when y=0, -x²+2x+1=0, use the quadratic formula to find x: x=-1+√2, x=-1-√2
so the symmetry point the the y intercept is (-1+√2, 0) (-1-√2, 0)