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iragen [17]
3 years ago
11

A furniture store is having a weekend sale and is offering a 20% discount on patio chairs and tables. The sales tax on furniture

is 6.25%. Using function composition, how can you represent the total amount, A, that you would need to pay for furniture that costs x dollars?
Mathematics
2 answers:
konstantin123 [22]3 years ago
5 0

Answer: A = 0.85x dollars.

Step-by-step explanation:

Since we have given that

Total Amount is represented as 'A'.

Cost of furniture = x dollars

Rate of discount = 20%

Amount of discount is given by

\frac{20}{100}\times x\\\\=0.2\times x\\\\=0.2x

So, Amount after discount becomes

=x-0.2x\\\\=0.8x

Rate of sales tax = 6.25%

Amount of sales tax is given by

\frac{6.25}{100}\times 0.8x\\\\=0.0625\times 0.8x\\\\=0.05x\ dollars

So, Amount after sales tax becomes,

A=0.8x+0.05x\\\\=0.85x\ dollars

Hence, A = 0.85x dollars.

BARSIC [14]3 years ago
3 0
The price will be reduced by 20%, so will become 0.8x
The tax will increase the amount by 0.0625 times
Thus:
A = 0.8x + 0.0625x
A = 0.8625x
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Answer:

When multiplying zeros, you first remove the zeros.

So,

2 x 7 = 14

Then you add the zeros to the answer.

We had three zeros

So we add three zeros to 14

14,000

8 0
3 years ago
The question is the photo
Readme [11.4K]
For this question you can say:
5/9( °F - 32) = -10 °C
so now you should solve the equation:
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i hope this is helpful
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6 0
3 years ago
A runner finished a total of 1,500 kilometers in races before retiring . She finished thirty-two 15-kilometer races . The rest o
Sindrei [870]

Answer:

32*15 = 480

1500-480 = 1020

1020/10

102 races

Step-by-step explanation:

5 0
3 years ago
One letter is selected from the word " UNNECESSARY" .Find the probability of (a)an 'R' (b)an'E' (c)an 'O' (d)a 'C
Alona [7]

Answer: A. 1/11

B. 2/11

C. 0

D. 1/11

Hope this helps!

7 0
3 years ago
In a study of the accuracy of fast food​ drive-through orders, one restaurant had orders that were not accurate among orders obs
Evgesh-ka [11]

Answer:Null hypothesis:  

Alternative hypothesis:  

 

 

The p value obtained was a very high value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of orders that were not accurate is not significant different from 0.1 or 10% .  

and the accuracy of the test yes is acceptable since the p value obtained is large enough to fail to reject the null hypothesis

Step-by-step explanation:

Data given and notation n  

n=367 represent the random sample taken

X=32 represent the orders that were not accurate

estimated proportion of orders that were not accurate

is the value that we want to test

represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

 

Alternative hypothesis:  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

(1)  

The One-Sample Proportion Test is used to assess whether a population proportion  is significantly different from a hypothesized value .

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

 

Statistical decision  

It's important to refresh the p value method or p value approach . "This methos is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided . The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

 

So the p value obtained was a very high value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of orders that were not accurate is not significant different from 0.1 or 10% .  

3 0
3 years ago
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