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ycow [4]
3 years ago
7

An electronics store purchased a CD player at a wholesale price of 60$ and then sold it at a 40 percent discount off the origina

l retail price. If the store made a 25 percent profit on the whole price of the CD player, what was the stores profit as a percent of the original retail price?A. 10%B. 12%C. 15%D. 18%E. 20%
Mathematics
1 answer:
Ymorist [56]3 years ago
3 0

Answer:

Option B is the answer.

Step-by-step explanation:

Given :

The cost price = $60 (this is the wholesale price)

Let the actual retail price be R.

40% discount on R = 0.6R (selling price of the product )

We know profit = selling price -cost price

0.6R -60 = 25% of 60

=> 0.6R -60 =15

Solving for R now:

0.6R=15+60

0.6R=75

R = $125

We have to tell the profit/actual retail price percentage.

\frac{15}{125} \times100=12%

So, the answer is 12%.

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What’s 5y/42-5/6? Solve
Vedmedyk [2.9K]
First try to isolate the variable, in this case "y". the first step to this is add 5/6 to both sides to get 5y/42=5/6. next multiply each side by 42 to get 5y=35. next divide by 5 to get y=7. so y=7 is the answer.
7 0
3 years ago
A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a day waiting period to purchase
il63 [147K]

Answer:

The  90% confidence interval for the difference between proportions is (-0.260, -0.165).

Step-by-step explanation:

<em>The question is incomplete. The complete question is:</em>

<em>"A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a 15 day waiting period to purchase a gun?” Results from a random sample of US citizens showed that </em><em>318 of the 520 men </em><em>who were surveyed supported this proposed law while </em><em>379 of the 460 women </em><em>sampled said ‘‘yes”. Use this information to find a </em><em>90% confidence interval</em><em> for the difference in the two proportions, </em><em>pm - pw.</em><em> </em><em>Subscript pm</em><em> is the proportion of men who support the proposed law and </em><em>pw</em><em> is the proportion of women who support the proposed law. (Round answers to 3 decimal places.)"</em>

We want to calculate the bounds of a 90% confidence interval.

For a 90% CI, the critical value for z is z=1.645.

The sample of men, of size nm=-0.26 has a proportion of pm=0.612.

p_m=X_m/n_m=318/520=0.612

The sample 2, of size nw= has a proportion of pw=0.824.

p_w=X_w/n_w=379/460=0.824

The difference between proportions is (pm-pw)=-0.212.

p_d=p_m-p_w=0.612-0.824=-0.212

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_m+X_w}{n_m+n_w}=\dfrac{318+379}{520+460}=\dfrac{697}{980}=0.711

The estimated standard error of the difference between means is computed using the formula:

s_{pm-pw}=\sqrt{\dfrac{p(1-p)}{n_m}+\dfrac{p(1-p)}{n_w}}=\sqrt{\dfrac{0.711*0.289}{520}+\dfrac{0.711*0.289}{460}}\\\\\\s_{pm-pw}=\sqrt{0.00039+0.00045}=\sqrt{0.001}=0.029

Then, the margin of error is:

MOE=z \cdot s_{pm-pw}=1.645\cdot 0.029=0.0477

Then, the lower and upper bounds of the confidence interval are:

LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.212-0.0477=-0.260\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.212+0.0477=-0.165

The  90% confidence interval for the difference between proportions is (-0.260, -0.165).

6 0
3 years ago
Milton has his money invested in a stock portfolio. The value, v(.r), of his
exis [7]

Answer:

B) It decreases 22% per year.

Step-by-step explanation:

We are given that The value, v(.r), of his  portfolio can be modeled with the function : y(x) = 30,000(0.78)^x

Where x is the number of years since he made his investment.

Formula :P(1-r)^t=A

Where P = Principal

r = rate of decrease

t = time

A = Amount after t years

So, On comparing

P = 30000

t=x

A=y(x)

1-r=0.78

\Rightarrow 1-0.78=r

\Rightarrow 0.22=r

So, r = 0.22

r=22%

So, Rate of decrease is 22%

So, Option B is true,

It decreases 22% per year.

7 0
3 years ago
What is the simplify answer of 5/6+3/4+2/3 write as mixed number, if possible. ​
Yuki888 [10]

Answer:

Step-by-step explanation:

Fractions need a common denominator before being added together.

5/6 = 10/12

3/4 = 9/12

2/3 = 8/12

The sum is 27/12 = 2 3/12 = 2¼

3 0
3 years ago
Read 2 more answers
Simplify : (-7/18 × 15/-7) - (1 × 1/4) + (1/2 × 1/4)​
bixtya [17]

Answer:

17/24

Step-by-step explanation:

This expression simplifies to the following:

-7     15        1          1

---- * -----  -  -----  +  -----

18     -7        4          8

Reducing the product, we get

  15        1

-------- - -----

  18        8

and this simplifies further:

 5       1

----- - -----

 6       8

The LCD is 24.  Thus, we have:

20      3         17

------ - -----  =  -----

24      24       24

4 0
3 years ago
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