Wanda has decided to divide her $50,000 investment between three simple interest accounts. she placed $35,000 into an account that pays 8 percent. she invests half of the remaining money into an account that pays 10.5 percent and the other half into a 14 percent account. if she leaves the money alone for seven years, how much money will she have in total?
Answers
b. the average rate of change of f(x) is less than the average rate of change of g(x).
step-by-step explanation:
since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.
f(-2) = -3f(1) = 6 . . . estimated from f(x) = (x+2)^2-3, which matches points on the graph (-1,-2) and (0, 1)so the change in y-value for function f is (6 )) = 9.
the table tells us
g(-2) = 1g(1) = 31so the change in y-value for function g is (31 -1) = 30.
the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).
there are many solutions.
step-by-step explanation:
step 1: simplify both sides of the equation.
4x+6=4x^2+10x−4
step 2: subtract 4x^2+10x-4 from both sides.
4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)
−4x^2−6x+10=0
step 3: factor left side of equation.
−2(2x+5)(x−1)=0
step 4: set factors equal to 0.
x=-5/2 or x=1
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