Answer:
The balance of account at the end of 36 years is $31,849.29
Step-by-step explanation:
We are given the following in the question:
P = $3,300
r = 6.5% = 0.065
t = 36 years
The compound interest is given by:
where A is the amount, p is the principal, r is the interest rate, t is the time in years and n is the nature of compound interest.
Since interest is compounded annualy we use n = 1
Thus, balance of account at the end of 36 years is $31,849.29
The three numbers have to multiply to 48 in a ratio of 3:2:1
which would be 6:4:2
so 6 inches
Answer:
Step-by-step explanation:
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solucion
Volumen de un cilindro: es igual al área de la tapa por la altura del mismo
A = πD² * h / 4
Lata grande y lata pequeña
Para la lata grande, el diámetro y la altura han aumentado un 20%.
Lata pequeña:
d = 4 cm
h = 3 cm
A 1 = π * (4) ² * 3/4
A1 = 37,70 cm²
Lata grande:
d = 4 * 1,2 = 4,8 cm
h = 3 * 1,2 = 3,6 cm
A2 = π (4,8) ²3,6 / 4
A2 = 65,14 cm²
Si 37,7 representa el 100%
65,14 representación x
x = 170%
El incremento del volumen es de un 70%
Answer:
a) The formula is given by mean
the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.
b)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
If the distribution for X is normal or if the sample size is large enough we know that the distribution for the sample mean
is given by:
Part a
The formula is given by mean
the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.
Part b
The confidence interval for the mean is given by the following formula: