∵ The formula of the compound interest is
→ A is the new amount
→ P in the initial amount
→ r is the interest rate in decimal
→ n is the number of periods
→ t is the time
∵ The initial amount is 800 dollars
∵ The annual rate is 3% = 3/100 = 0.03
∵ It is a compounded annually
∴ n = 1
∵ t = 5 years
→ Substitute all of these values in the formula above
→ Use the calculator to find the answer
∴ A = 927.4192594 dollars
Answer: =
=
Step-by-step explanation:
In order to get from 8 to 56, we have to multiply by 7.
We always do the same to the top! 3 multiplied by 7 = 21.
In order to get from 7 to 56, we have to multiply by 8.
We always do the same to the top! 3 multiplied by 8 = 24.
Answer:
The confidence interval for the population variance of the thicknesses of all aluminum sheets in this factory is Lower limit = 2.30, Upper limit = 4.83.
Step-by-step explanation:
The confidence interval for population variance is given as below:
We are given
Confidence level = 98%
Sample size = n = 81
Degrees of freedom = n – 1 = 80
Sample Variance = S^2 = 3.23
(By using chi-square table)
[(n – 1)*S^2 / X^2 α/2, n– 1 ] < σ^2 < [(n – 1)*S^2 / X^2 1 -α/2, n– 1 ]
[(81 – 1)* 3.23 / 112.3288] < σ^2 < [(81 – 1)* 3.23/ 53.5401]
2.3004 < σ^2 < 4.8263
Lower limit = 2.30
Upper limit = 4.83.