Answer:
Year in which the entrepreneur break even is 4
Step-by-step explanation:
We are given:
p(x) = x^3-4x^2+5x-20
We would find the value of x
Solving:
x^3-4x^2+5x-20 = 0
(x^3-4x^2)+(5x-20) = 0
x^2(x-4)+5(x-4) = 0
(x-4)(x^2+5)=0
=> x-4 = 0 and x^2+5 =0
x = 4 and x^2 = -5
x = 4 and x = ±√-5 or ±√5 i (not real solutions)
So, x = 4
So, year in which the entrepreneur break even is 4
Answer:
17 inches
Step-by-step explanation:
An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.
Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.
Now we know that for an obtuse triangle,




c > 16.64
Therefore the smallest possible whole number is 17 inches.
Answer:
$29
Step-by-step explanation:
1) Write all of the prices in a single column:
$15.69
$3.45
$1.75
$0.98
$0.55
$6.15
2) Round all of the items to the nearest dollar:
$16
$3
$2
$1
$1
$6
3) Add all of the values:
$29
Answer: The correct option is A, itis the product of the initial population and the growth factor after h hours.
Explanation:
From the given information,
Initial population = 1000
Increasing rate or growth rate = 30% every hour.
No of population increase in every hour is,

Total population after h hours is,

It is in the form of,

Where
is the initial population, r is increasing rate, t is time and [tex(1+r)^t[/tex] is the growth factor after time t.
In the above equation 1000 is the initial population and
is the growth factor after h hours. So the equation is product of of the initial population and the growth factor after h hours.
Therefore, the correct option is A, itis the product of the initial population and the growth factor after h hours.
Answer:
- a. 0.1647;
- b. 0.7153;
- c. 0.4453.
Step-by-step explanation:
By definition, if two event
and
are independent, then
. (
is the probability that the outcome of both event
and event
are true.)
<h3>a.</h3>
Since the outcome of these two events are independent,
.
<h3>b.</h3>
The logic not operator
or the prime superscript
denotes that an event does not happen.
.
.
Since the two events
and
,
and
are also independent. Probability that neither professor got funded:
.
Probability that at least one professor got funded- in other words, it is not true that neither professor got funded:
.
<h3>c.</h3>
Similarly, since the two events
and
,
and
are also independent. Probability that Jane but not Joe got funded:
.