Answer:
$2647.18
Step-by-step explanation:
Data provided in the question:
Rate = 9% compounded quarterly
interest rate per period, i = 9% ÷ 4 = 2.25% = 0.0225
Future value = $43,000
Time = 3.5 years
Number of periods, = 3.5 × 4 = 14
Now,
Let the annual payments be 'A'
Thus,
Future value = A × [ (1 + i)ⁿ - 1 ) ÷ i ]
or
$43,000 = A × [ (1 + 0.0225)¹⁴ - 1 ) ÷ 0.0225 ]
or
$43,000 = A × 16.244
or
A = $2647.18
Answer:
7 ft
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
153.86 = 3.14 r^2
Divide each side by 3.14
153.86 / 3.14 = r^2
49 = r^2
Take the square root of each side
sqrt(49) = sqrt(r^2)
7 = r
Positive 3
It’s positive three
Answer:
Class interval 10-19 20-29 30-39 40-49 50-59
cumulative frequency 10 24 41 48 50
cumulative relative frequency 0.2 0.48 0.82 0.96 1
Step-by-step explanation:
1.
We are given the frequency of each class interval and we have to find the respective cumulative frequency and cumulative relative frequency.
Cumulative frequency
10
10+14=24
14+17=41
41+7=48
48+2=50
sum of frequencies is 50 so the relative frequency is f/50.
Relative frequency
10/50=0.2
14/50=0.28
17/50=0.34
7/50=0.14
2/50=0.04
Cumulative relative frequency
0.2
0.2+0.28=0.48
0.48+0.34=0.82
0.82+0.14=0.96
0.96+0.04=1
The cumulative relative frequency is calculated using relative frequency.
Relative frequency is calculated by dividing the respective frequency to the sum of frequency.
The cumulative frequency is calculated by adding the frequency of respective class to the sum of frequencies of previous classes.
The cumulative relative frequency is calculated by adding the relative frequency of respective class to the sum of relative frequencies of previous classes.
