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AlexFokin [52]
3 years ago
13

C=p(1+r) what is the final Cost of a $40 item after an 8% tax is applied

Mathematics
1 answer:
makvit [3.9K]3 years ago
8 0
Hello there! The cost of the item is $40, which makes up 100% of the price. There is 8% tax applied on the item. Let's add both percentages. 100 + 8 is 108. That's 108%. Let's multiply that by 40 to get the total price. 40 * 108% (1.08) is 43.2. There. The final cost of an item is $43.20.
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A report by the US Geological Survey indicates that glaciers in Glacier National Park, Montana, are shrinking. Recent estimates
postnew [5]

Answer

a) C

b) B

c) C, E

d) 15.5

e) 0.7

f) 67.7

Step-by-step explanation

a) A linear equation can be written as y=mx+c where m is the slope and c is the intercept on the y-axis. The slope describes how y changes when x changes. A negative value means the it is a decreasing change. In our case, y is A and x is t. Thus, the slope of the equation is m=-0.062. This means that the area of glacier is decreasing by 0.062 \text{km}{}^2 = 62000 \text{m}{}^2 every year since 2000.

b) The A-intercept (= 16.2 \text{km}{}^2) represents the area covered when t=0. But t=0 starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2 \text{km}{}^2.

c) A=f(t) means the area covered after year 2000. Setting it to 12 means the area covered after t years is 12 \text{km}{}^2). t is therefore the number of years since 2000 that the total area covered will be 12 \text{km}{}^2).

d) f(12)=16.2−0.062\times12 =16.2-0.744 = =15.456 15.5 \text{km}{}^2 to 1 decimal place.

e) The term involving t represents the disappearing area. In 12 years, the disappeared area is 0.062\times12=0.744 =0.7 \text{km}{}^2 to 1 decimal place.

f) f(t)=16.2−0.062t =12

0.062t = 16.2-12 = 4.2

t = \dfrac{4.2}{0.062}=67.7419\ldots =67.7 years to 1 decimal place.

8 0
3 years ago
91. Jack can read 45 pages of his book in one and a
Digiron [165]

Answer:

10 hours

Step-by-step explanation:

45 pages per 1 hour and 30 minutes,  or 60 min +30 min =90 min

90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages

90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300

? minutes = 90*300/45 = 600 minutes

to read 300-page book will take 600 minutes = 10 hours

3 0
3 years ago
A poll asked 1057 American adults if they believe there was a conspiracy in the assassination of President Kennedy, and found th
AVprozaik [17]

Answer:

The 95% confidence interval of the proportion of Americans who believe in the conspiracy is  0.551<  p <  0.610

Step-by-step explanation:

From the question we are told that

   The sample size is  n =1057

   The number that believe there was a conspiracy is  k = 614

Generally the sample proportion is mathematically represented as

      \^ p =  \frac{614}{1057 }

=>   \^ p = 0.5809

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

=>   E = 1.96 * \sqrt{\frac{0.5809 (1- 0.5809)}{1057} }    

=>   E = 0.02975  

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>    0.5809 - 0.02975<  p <  0.5809 + 0.02975

=>    0.551<  p <  0.610

4 0
3 years ago
In the data set shown below, what is the value of the quartiles? {56, 58, 64, 68, 72, 75, 78} A. Q1 = 58; Q2 = 68; Q3 = 73.5 B.
Marysya12 [62]

Answer:

(C) Q1: 55.5 Q2: 110 Q3: 295

Step-by-step explanation:

Given the dataset:

There are 25 items in the dataset.

To find Q2, We divide it into two equal parts and consider the middle term

Therefore: Q2 =110

Q1 = the median of the lower half of the data set.

Q3 = is the median of the upper half of the data set.

In the lower half of the data

Since there are even number of terms,

Median = (55+56)/2=55.5

Therefore: Q1=55.5

In the upper half of the data

Since there are even number of terms,

Median = (239+351)/2=295

Therefore: Q3=295

Q1: 55.5,  Q2: 110,  Q3: 295

The correct option is C.

8 0
2 years ago
Read 2 more answers
At a cookout, Mrs. Crawford makes 8/9 pound of chicken, plus 1 pound for each guest. Is the relationship between the number of g
erma4kov [3.2K]
No, this rel. is not proportional because of the addition involved ("plus 1 lb for each guest").

A proportional rel. features mult. only.

3 0
3 years ago
Read 2 more answers
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