Principal amount = P = $500
Time = t = 14 years
Interest rate = r = 8.25% = 0.0825
Amount accumulated = A
Using the formula of compound interest:
![A=P e^{rt}](https://tex.z-dn.net/?f=A%3DP%20e%5E%7Brt%7D%20)
Substituting the values, we get:
![A=500 e^{0.0825(14)}=1587.01 ](https://tex.z-dn.net/?f=A%3D500%20e%5E%7B0.0825%2814%29%7D%3D1587.01%0A%20)
Thus the amount accumulated after 14 years will be $1587.01. Compared to the original amount of $500, this amount is tripled.
Answer:
The box plot below represents some
Answer:
A) cluster sampling ( b ) and systematic sampling ( e )
B ) Randomly selecting precincts increases the likelihood that the people polled represent the population well. ( c )
Step-by-step explanation:
Cluster sampling is a type of sampling plan used when there is an internally heterogeneous groups can be found inside a population that is supposed to be mutually homogeneous . while systematic sampling is a type of probability sampling that involves the selection of samples from a larger population at random but using a specific interval. to get the systematic sample the larger population is divided by the sample size.
from the information available in the report it is very evident that not all voters can be captured at once hence cluster sampling and systematic sampling would be employed .
B) the company will randomly select precinct to increase the likelihood of the sample size representing the entire population very well
Answer:
C. y= -2x^2 + 4
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
−
4
)
Focus:
(
0
,
−
33
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
31
8
x
y
−
2
−
12
−
1
−
6
0
−
4
1
−
6
2
−
12
________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
4
)
Focus:
(
0
,
33
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
31
8
x
y
−
2
12
−
1
6
0
4
1
6
2
12
______________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
4
)
Focus:
(
0
,
31
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
33
8
x
y
−
2
−
4
−
1
2
0
4
1
2
2
−
4
_______________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
−
4
)
Focus:
(
0
,
−
31
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
33
8
x
y
−
2
4
−
1
−
2
0
−
4
1
−
2
2
4
Answer:
(x,y)=(4x,4y)
Step-by-step explanation: