Answer:
P(t)=30
Step-by-step explanation:
Plug in t=6 into the equation: P(t)=t^2-t
So P(t)= (6)^2-6
P(t)=36-6
P(t)=30
F=5.77X10^9(1.032^(y-1985)), we want to know when this is:
2.2X10^12=5.77X10^9(1.032^(y-1985))
381.2825=1.032^(y-1985)
ln(3,812825)=(y-1985)ln(1.032)
ln(3.812825)/ln(1.032)=y-1985
y=1985+ln(3.812825)/ln(1.032)
y≈2027.5
So GDP will reach 2.2 trillion during the year 2027.
180-24=5
180-56=34
Both are equal
D
Answer:
2 roots in every case, not all are real.
Step-by-step explanation:
All of these equations are quadratic equations (degree 2). Every quadratic has two roots. They may be identical (looks like 1 root), and they may be complex (zero real roots), but there are always 2 of them.
a) the y-value of the vertex is negative and the parabola opens downward (leading coefficient -5), so there are no real zeros and both roots are complex.
b) each binomial factor contributes a root. Both roots are real.
c) the discriminant is positive, (3²-4·2·1=1), so both roots are real.
