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aivan3 [116]
3 years ago
11

Greg just purchased a house for $450,000. His annual homeowners insurance premium is $0.42 per $100 of value. If his annual prem

ium is divided into equal monthly payments, what will Greg have to pay on a monthly basis to keep his home insured? a. $1,890.00 b. $157.50 c. $1,575.00 d. $131.25 Please select the best answer from the choices provided A B C D
Mathematics
1 answer:
sveta [45]3 years ago
4 0

Answer:

\$157.50

Step-by-step explanation:

The computation of the amount pay on monthly basis is shown below:

But before that we need to find out the annual amount pay which is to be find out by applying the following formula

= Purchase\ value \times \frac {insurance\ premium}{percentage}

where,

Purchase value of the house is $450,000

Insurance premium is $0.42

Percentage is $100

Now put these values to the above formula

So, the annual amount pay is

= \$450,000 \times \frac {\$0.42}{\$100}

= \$1,890

Now the monthly paying amount is

= \frac{Annual\ amount\ pay}{total\ number\ of\ months\ in\ a\ year}

= \frac{\$1,890}{12\ months}

= \$157.50

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Answer:

(a) Population mean = 314.5mg

(b) Margin of error = 21.281mg

(c) No, 350mg is not a plausible value

The new brand of hot dog has a lower sodium content on average than the leading brand

(d) Yes

Step-by-step explanation:

(a) Population mean = (370+326+322+297+326+289+293+264+327+331)/10 = 3145/10 = 314.5mg

(b) Margin of error = t×sd/√n

sd = 29.73, n = 10, degree of freedom = n-1 = 10-1 = 9

Assuming 95% confidence level

t-value corresponding to 9 degrees of freedom and 95% confidence level is 2.262

Margin of error = 2.262×29.73/√10 = 21.281mg

(c) No

Lower limit of new brand = 314.5 - 21.281 = 293.219mg

Upper limit = 314.5 + 21.281 = 335.781mg

The range of sodium content for the new brand of hot dog is between 293.219mg and 335.781mg which is lower than the leading brand (350mg)

(d) Margin of error = t×sd/√n

From the formula above, margin of error varies inversely as the square root of sample size

The smaller the sample size (n = 10) the larger the margin of error and the less accurate is the population mean

The larger the sample size (n = 40) the smaller the margin of error and the more accurate is the population mean

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