Answer: the value of the account after 6 years is $101559.96
Step-by-step explanation:
If $64,000 is invested in an IRA account, then
Principal = $64,000
So P = 64,000
The rate at which $64000 was compounded is 8%
So r = 8/100 = 0.08
If it is compounded once in a year, this means that it is compounded annually (and not semi annually, quarterly or others). So
n = 1
We want to determine the value of the account after 6 years, this means
time, t = 6
Applying the compound interest formula,
A = P(1 + r/n)^nt
A = amount after n number of years
A = 64000( 1 + 0.08/1)^1×6
A = 64000(1.08)^6
A= 64000×1.58687432294
A= 101559.956668416
Approximately $101559.96 to 2 decimal places
Answer:
c
Step-by-step explanation:
y is equal to 6 multiplied by IxI
for example, if x was 1 the coordinates would be (1,6).
The pattern going (1,6) , (2,12) , (3,18) and so on.
The four angles of a quadrilateral are 30°, 60°, 150°, and 120° if the four vertices of an inscribed quadrilateral divide a circle in the ratio 1:2:5:4.
<h3>What is quadrilateral?</h3>
It is defined as the four-sided polygon in geometry having four edges and four corners.
We have the four vertices of an inscribed quadrilateral divide a circle in the ratio:
1:2:5:4
Let the sides of the quadrilateral be x, 2x, 5x, 4x.
We know the sum of all angles of quadrilateral = 360°
x+2x+5x+4x=360
12x = 360
First angle, x = 30°
Seconds angle, 2x = 2×30 ⇒ 60°
Third angle, 5x = 5×30 ⇒ 150°
Fourth angle, 4x = 4×30 ⇒ 120°
Thus, the four angles of a quadrilateral are 30°, 60°, 150°, and 120°
Learn more about the quadrilateral here:
brainly.com/question/6321910
A statement which best describes the strength of the correlation, and the causation between the variables is that: D. it is a strong positive correlation, and it is likely causal.
<h3>What is a positive correlation?</h3>
A positive correlation can be defined as a terminology that is used to described a scenario (situation) in which two variables move in the same direction and are in tandem.
This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Hence, when one variable increases, the other increases as well, and vice-versa.
By critically observing the scatter plot (see attachment) which models the data in the given table, we can infer and logically deduce that the value on the y-axis (circumference) increases as the value on the x-axis (radius) increases, so this is a strong positive correlation.
Also, we know that there exist a direct relationship between the circumference of a circle and its radius, so this relationship is most likely causal.
In conclusion, a statement which best describes the strength of the correlation, and the causation between the variables is that it's a strong positive correlation, and it is likely causal.
Read more on positive correlation here: brainly.com/question/10644261
#SPJ1
