Answer: 91
Step-by-step explanation:
Substitute this into the parabolic equation,
We're told the line 
intersects 
twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know
We can tell from the quadratic equation that has its vertex at the point (3, 6). Also, note that
and
so the furthest to the right that extends is the point (5, 2). The line passes through this point for 
. For any value of 
, the line passes through either only once, or not at all.
So 
; in set notation,
The function:f ( x ) = x * 0.965^twhere x is the initial amount and t is the number of the years80 = x * 0.965^380 = x * 0.89632x = 80 : 0.89632 ≈ 89Answer:The initial amount of animals was 89.
Answer:
52,25,30,35 is the answer
Step-by-step explanation:
Answer: 2.01%.
Step-by-step explanation:
Suppose Alex invests $1 into the account for one year. The formula is A=P0⋅(1+rk)N⋅k with P0=$1. We know that r=0.02 and k=2 compounding periods per year. Now, N=1 year. Substituting the values we have A=$1⋅(1+0.022)2=$1.0201. Now, to calculate the effective annual yield, we will use the formula rEFF=A−P0P0. rEFF=1.0201−11=0.0201 or 2.01%. When rounded to two decimals, rEFF=2.01%. However, do not include the % in your answer.
