The future value of this amounts after 5 years in the order they will be recieved will be:
FV=p(1+r/100)^n
a. $7100
FV=7100(1+9/100)^5
FV=7100(1.09)^5
FV=$10,924.23
b.$8700
FV=8700(1+9/100)^5
FV=8700(1.09)^5
FV=$ 13,386.03
c. $12500
FV=12500(1+9/100)^5
FV=12500(1.09)^5
FV=$19,232.80
So if you look at the equation you can see the y-intercept.
slope y-intercept
↓ ↓
y = x - 2
The y-intercept is where the line crosses the y-axis. So which ever graph has -2 as the y-intercept in correct...Its more complex when the graphs have the same intercept but in this case this should be easy to find.
So looking at the graphs you can see that the 3rd graph is the correct answer.
I hope this helps love! :)
Answer:
C. Probability is 0.90, which is inconsistent with the Empirical Rule.
Step-by-step explanation:
We have been given that on average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches.
First of all, we will find z-score corresponding to 87.5 and 107.5 respectively as:










Now, we need to find the probability
.
Using property
, we will get:

From normal distribution table, we will get:



Since the probability is 0.90, which is inconsistent with the Empirical Rule, therefore, option C is the correct choice.
Answer:
x
=
2
±
√
7
Explanation:
there are no whole numbers which multiply to - 3
and sum to - 4
we can solve using the method of
completing the square
the coefficient of the
x
2
term is 1
∙
add subtract
(
1
2
coefficient of the x-term
)
2 to
x2
−
4
x
⇒
x
2
+2(−
2
)
x
+
4
−
4
−
3
=
0
⇒
(
x
−
2
)2
−
7
=0
⇒
(
x
−
2
)
2
=
7
take the square root of both sides
⇒
x
−
2
=
±
√
7
←
note plus or minus
⇒
x
=
2
±
√
7←
exact solutions
Um i would need more details
But i thing you would add those together