You invest 4,100 in an account that pays an interest rate of 7.25% ,compounded continuously. Calculate the balance of your accou
1 answer:
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We have that
<span>A(-2,1), B(1,5), C(4,4), D(1,0)
</span>using a graph tool
see the attached figure
we know that
A parallelogram is a simple quadrilateral with opposite sides parallel and equal in length
therefore
<span>let's calculate the slope and distance of each side and compare them
</span>
side AB
slope m=(y2-y1)/(x2-x1)------> m=(5-1)/(1+2)----> m=4/3
distance AB=√4²+3³-------> dAB=5 units
side CD
slope m=(y2-y1)/(x2-x1)------> m=(0-4)/(1-4)----> m=4/3
distance CD=√4²+3³-------> dCD=5 units
side BC
slope m=(y2-y1)/(x2-x1)------> m=(4-5)/(4-1)----> m=-1/3
distance BC=√1²+3³-------> dBC=√10 units
side AD
slope m=(y2-y1)/(x2-x1)------> m=(0-1)/(1+2)----> m=-1/3
distance AD=√1²+3³-------> dAD=√10 units
(side BC and side AD are parallel) and (side BC=side AD)
and
(side AB and side CD are parallel) and (side AB=side CD)
therefore
the answer is
Yes, it is a parallelogram
<span>A(-2,1), B(1,5), C(4,4), D(1,0)
</span>using a graph tool
see the attached figure
we know that
A parallelogram is a simple quadrilateral with opposite sides parallel and equal in length
therefore
<span>let's calculate the slope and distance of each side and compare them
</span>
side AB
slope m=(y2-y1)/(x2-x1)------> m=(5-1)/(1+2)----> m=4/3
distance AB=√4²+3³-------> dAB=5 units
side CD
slope m=(y2-y1)/(x2-x1)------> m=(0-4)/(1-4)----> m=4/3
distance CD=√4²+3³-------> dCD=5 units
side BC
slope m=(y2-y1)/(x2-x1)------> m=(4-5)/(4-1)----> m=-1/3
distance BC=√1²+3³-------> dBC=√10 units
side AD
slope m=(y2-y1)/(x2-x1)------> m=(0-1)/(1+2)----> m=-1/3
distance AD=√1²+3³-------> dAD=√10 units
(side BC and side AD are parallel) and (side BC=side AD)
and
(side AB and side CD are parallel) and (side AB=side CD)
therefore
the answer is
Yes, it is a parallelogram
Answer:
The minimum sample size necessary is 2305.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
For this problem, we have that:
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The researcher wishes to be accurate within 2% of the true proportion. Find the minimum sample size necessary?
We need a sample size of n.
n is found when M = 0.02. So
Rounding up
The minimum sample size necessary is 2305.