When you write $1.35 what does the decimal point means

1 answer:

3 0

I believe the decimial point divides between the dollar value and the cent value in american currecy. aka the decimial point symbolizes the cent value.

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Ohn has taken out a loan for college. He started paying off the loan with a first payment of $100. Each month he pays, he wants

Gwar [14]

Answer:

Ohn has paid $5730 in first 20 installments

Step-by-step explanation:

As per the question Ohn payed the first installment =$100

Next month Ohn payed the installment = 1.1×$100

Similarly subsequent installment =1.1×1.1×$100

So we can write first 20 installments as

⇒100+100×1.1+100×1.1²+100×1.1³.........+100× $1.1^{20}$

And we know in geometric series

1+x²+x³+........... $x^{20}$ = (1- $x^{n-1}$ )÷(1-x)

Therefore sum of first 20 installments will be

⇒100(1+1.1²+1.1³............ $1.1^{20}$ =(1- $1.1^{20}$ )÷(1-1.1)

= 100(1-6.73)÷(-.1)

=100×5.73÷.1

= $5730

So Ohn has paid $5730

7 0

3 years ago

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp

motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\$

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305$