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3 years ago

3. The simple interest on $6,000 for 4 years is $1,680. *

1 answer:

4 0

Substituting the numbers into the simple interest formula, we get
I=. p r t
1,680=(3000)(r)(8). Multiplying
1,680= 24,000r Divide both sides by 24,000
0.07= r
So, the percentage is (0.07)(100)= 7%...

Well, Anita, I am glad to help out... Don't forget to rate my answer:)

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Gracie’s insurance premiums are $150 per month. This year she also paid a $500 deductible and 20% of $3,000 for a minor accident

storchak [24]

Her insurance premiums are 150 per month.....there is 12 months in a year....so in 1 year, her premiums totaled : (150 * 12) = 1800

she paid a $ 500 deductible

she paid 20% of $ 3000 for the accident..
0.20 * 3000 = $ 600

therefore, her total healthcare expenses for 1 yr totaled :
1800 + 500 + 600 = $ 2900 <==

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3 years ago

Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 1,000 m2.

irina [24]

The approximate width of Alice's backyard is 22.36 in.

Let l be the length of the rectangle and w be the width.
l = 2w
A = 1000 m2 = l*w
1000 m2 = 2w *w
500 m2 = w^2
√500 m2 = √w^2
w = <span>22.360679775 in or 22.36 in</span>

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8 0

4 years ago

Read 2 more answers

The mean cost of a meal for two in a mid-range restaurant in Tokyo is $40 (Numbeo.com website, December 14, 2014). How do prices

NNADVOKAT [17]

Answer:

a) $Me=2.02 \frac{6.827}{\sqrt{42}}=2.13$

b) So on this case the 95% confidence interval would be given by (30.53;34.79)

c) On this case the confidence interval not contains the price $40, so we can conclude that the prices for Hong Kong mid-range restaurants are significant less than the prices for mid range restaurants in Tokyo at 5 % of significance.

Step-by-step explanation:

1) 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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

2) Part a

The margin of error is given by:

$Me=t_{\alpha/2}\frac{s}{\sqrt{n}}$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=42-1=41$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,41)".And we see that $t_{\alpha/2}=2.02$

$Me=2.02 \frac{6.827}{\sqrt{42}}=2.13$

3) Part b

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=32.66$

The sample deviation calculated $s=6.827$

Now we have everything in order to replace into formula (1):

$32.66-2.02\frac{6.827}{\sqrt{42}}=30.532$

$32.66+2.02\frac{6.827}{\sqrt{42}}=34.788$

So on this case the 95% confidence interval would be given by (30.532;34.788)

4) Part d

On this case the confidence interval not contains the price $40, so we can conclude that the prices for Hong Kong mid-range restaurants are significant less than the prices in mid range restaurants in Tokyo at 5 % of significance.

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3 years ago

Mr. Santos is driving from atlanta, Georgia to Phoenix, Arizona. On the first day, he drive 183 miles. He drove 213 miles on the

kumpel [21]

Answer:

On the fifth day Mr.Santos would drive 303 miles.

Step-by-step explanation:

First you have to find the pattern which is add 30 miles each day. On the fourth day you would add 243+30=273. Now that you know how far he drove on the fourth day you would add 273+30=303 miles.

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3 years ago

Read 2 more answers

What is the difference between 8 forty-sevens and 7 forty-sevens

dem82 [27]

Difference, as in, to subtract.

84 - 74 = 10.

The difference is very clear. 84 is bigger than 74.

7 0

3 years ago