Ask question

Ask question

All categories

babymother [125]

3 years ago

10

Alley bought 1 pound of potatoes costing $4 from a local grocery store last week. Her final bill included an additional sales ta

x 8%. The next week alley found that the price for a pound of potatoes had gone up to $6. What is the percentage increase in the cost of a pound of potatoes, including the sales tax?

2 answers:

Sergeeva-Olga [200]3 years ago

7 0

Answer: 54%

Step-by-step explanation:

Given: The cost of 1 pound of potato in a local grocery store last week= $4

The cost of 1 pound of potato in a local grocery store last week after 8 % tax= $4+8% of $4

$=4+0.08\times4=4+0.32=\$4.32$

The cost of 1 pound of potato in a local grocery store next week= $6

The cost of 1 pound of potato in a local grocery store next week after 8 % tax= $6+8% of $6

$=6+0.08\times6=6+0.48=\$6.48$

The percentage increase in the cost of a pound of potatoes, including the sales tax will be given by :-

$P=\frac{\text{ increase in cost}}{\text{cost last week}}\times100\\\\\Rioghtarrow\ P=\frac{6.48-4.32}{4}\times100\\\\\Rightarrow\ P=\frac{2.16}{4}\times100\\\\\Rightarrow\ P=54\%$

Paul [167]3 years ago

5 0

$6.00 X 8% $6.48

this is the answer. hope this helps

You might be interested in

A fish swims over the waterfall. The distance y (in feet) that the fish falls is given by the function y=16t2 , where t is the t

inessss [21]

Answer:

See Explanation

Step-by-step explanation:

Given

$y = 16t^2$

The equation is incomplete. However, a possible question could be to calculate the distance of the fish at a particular time

e.g. Time, t = 4,

The distance is:

$y = 16t^2$

$y = 16 * 4^2$

$y = 16 * 16$

$y = 256ft$

Another possible question is to determine the time taken to cover a certain distance

e.g.

Distance, y = 400

This gives:

$y = 16t^2$

$400 = 16t^2$

Divide by 16

$25 = t^2$

Take square roots

$5 = t$

$t = 5\ seconds$

8 0

3 years ago

Please help and show all work so I can fully understand it, thanks.

seraphim [82]

Answer:

$\frac{1}{m-4}$

Step-by-step explanation:

$\frac{\frac{4m-5}{m^4 -7m^3 +12m^2}}{\frac{4m-5}{m^3 -3m^2}}$

Factor the equation:

$\frac{\frac{4m-5}{m^2(m^2 -7m+12)}}{\frac{4m-5}{m^2(m-3)}}$

$\frac{\frac{4m-5}{m^2(m-3)(m-4)}}{\frac{4m-5}{m^2(m-3)}}$

Rewrite to suit the format of multiplying two fractions. Remember, dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second. A reciprocal of a fraction is when one switches the place of the numerator and the denominator, that is, the value on top (numerator), and the value on the bottom (denominator).

$\frac{4m-5}{m^2(m-3)(m-4)}*\frac{m^2(m-3)}{4m-5}$

Simplify, take out common terms that are found on both the numerator and denominator

$\frac{4m-5}{m^2(m-3)(m-4)}*\frac{m^2(m-3)}{4m-5}$

$\frac{1}{m-4}$

4 0

3 years ago

Is education related to programming preference when watching TV? From a poll of 80 television viewers, the following data have b

Luda [366]

Answer:

a) H0: There is no association between level of education and TV station preference (Independence)

H1: There is association between level of education and TV station preference (No independence)

b) $\chi^2 = \frac{(15-10)^2}{10}+\frac{(15-20)^2}{20}+\frac{(10-10)^2}{10}+\frac{(5-10)^2}{10}+\frac{(25-10)^2}{10}+\frac{(10-20)^2}{20} =33.75$

c) $\chi^2_{crit}=5.991$

d) Since the p value is lower than the significance level we enough evidence to reject the null hypothesis at 5% of significance, and we can conclude that we have dependence between the two variables analyzed.

Step-by-step explanation:

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Assume the following dataset:

High school Some College Bachelor or higher Total

Public Broadcasting 15 15 10 40

Commercial stations 5 25 10 40

Total 20 40 20 80

We need to conduct a chi square test in order to check the following hypothesis:

Part a

H0: There is no association between level of education and TV station preference (Independence)

H1: There is association between level of education and TV station preference (No independence)

The level os significance assumed for this case is $\alpha=0.05$

The statistic to check the hypothesis is given by:

$\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}$

Part b

The table given represent the observed values, we just need to calculate the expected values with the following formula $E_i = \frac{total col * total row}{grand total}$

And the calculations are given by:

$E_{1} =\frac{20*40}{80}=10$

$E_{2} =\frac{40*40}{80}=20$

$E_{3} =\frac{20*40}{80}=10$

$E_{4} =\frac{20*40}{80}=10$

$E_{5} =\frac{40*40}{80}=20$

$E_{6} =\frac{20*40}{80}=10$

And the expected values are given by:

High school Some College Bachelor or higher Total

Public Broadcasting 10 20 10 40

Commercial stations 10 10 20 40

Total 20 30 30 80

Part b

And now we can calculate the statistic:

$\chi^2 = \frac{(15-10)^2}{10}+\frac{(15-20)^2}{20}+\frac{(10-10)^2}{10}+\frac{(5-10)^2}{10}+\frac{(25-10)^2}{10}+\frac{(10-20)^2}{20} =33.75$

Now we can calculate the degrees of freedom for the statistic given by:

$df=(rows-1)(cols-1)=(2-1)(3-1)=2$

Part c

In order to find the critical value we need to look on the right tail of the chi square distribution with 2 degrees of freedom a value that accumulates 0.05 of the area. And this value is $\chi^2_{crit}=5.991$

Part d

And we can calculate the p value given by:

$p_v = P(\chi^2_{3} >33.75)=2.23x10^{-7}$

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(33.75,2,TRUE)"

Since the p value is lower than the significance level we enough evidence to reject the null hypothesis at 5% of significance, and we can conclude that we have dependence between the two variables analyzed.

7 0

3 years ago

The value of a new car in 2015 was 40,000 dollar. It depreciates each year by 7%. How much will the car be worth in 2026?

tiny-mole [99]

Answer:

9200 dollars

Step-by-step explanation:

just minus it 77%

4 0

3 years ago

Graph points A(-1, -1), B(-1, 3) and C(3, 2) on the coordinate plane. What is the area of triangle ABC? A) 7 square units B) 8 s

Ray Of Light [21]

Answer:

8 square units is the answer

6 0

3 years ago