Answer:
And rounded up we have that n=1068
Step-by-step explanation:
For this case we have the following info given:
the margin of error desired
the level of confidence given
The margin of error for the proportion interval is given by this formula:
(a)
the critical value for 95% of confidence is 
We can use as estimator for the population of interest 
. And on this case we have that 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=1068
Answer:
48 pieces
Step-by-step explanation:
20÷5/12=20*12/5=240/5=48
The annual return percentages will be evaluated using the formula:
A=P(1+r/100)^n
where:
A=amount
P=principle
r=rate
n=time
a] A=$500, P=$400, n=1 years
500=400(1+r)^1
solving for r we shall obtain:
1.25=1+r
hence
r=1.25-1
r==0.25
annual rate of investment is 25%
b] A=2500+100=$2600, P=$ 2000, n=1 year
hence
2600=2000(1+r)^1
2600/2000=1+r
1.3=1+r
r=1.3-1
r=0.3
annual rate of investment is 30%
Answer:
40 degrees
Step-by-step explanation:
Complementary angles have a sum of 90.
y = 90 - x
The angle is 260 degrees less than six times its complement.
y = 6x - 260
90 - x = 6x - 260
350 - x = 6x
350 = 7x
50 = x
This is the measure of the complement.
y = 90 - x
y = 90 - 50
y = 40
This is the measure of the first angle.
Answer:
He earned 110287.3536 dollars
