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slamgirl [31]
3 years ago
15

A jewelry store purchases necklaces for n dollars each. The necklaces are then marked up by 20%, and costumers are charged 5% sa

les tax on the selling price. The expression n+
Mathematics
1 answer:
Aleksandr [31]3 years ago
8 0

Answer:

Step-by-step explanation:

Cost price = $n

Mark up price = selling price- cost price

= (20% × $n)

Selling price = $n + (20% × $n)

Sales tax = 5% × ($n + (20% × $n))

Total cost = selling price + sales tax

Total cost = $n + (20% × $n) + 5% × $n + (20% × $n)

= 1.2 × $n + 0.06 × $n

= 1.26 × $n.

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Zachary can't believe how bad London's traffic is today. In the past 10 minutes, his cab has barely moved 500 meters! He wonders
mezya [45]

Answer:

6 min

Step-by-step explanation:

5 kilometers = 5,000 meters

500/5,000 = 1/10 meaning it would take him 1/10 of an hour or 6 minutes to cover this distance.

4 0
2 years ago
You read 50 pages in an hour your sister reads 40 pages in an hour how many more pages did you read than your sister reads in 1/
Elena-2011 [213]

To start to figure this problem out, we can first figure out how many more pages you read in an hour compared to your sister.


50 - 40 = 10, so you read 10 more pages in 1 hour.


Now we have to figure out how much more you would read in 1/2 an hour. Since 1/2 an hour is 1/2 of an hour, we can divide 10 by 2 to figure out how many more pages you read in an hour compared to your sister. 10 divided by 2 is 5, so you read 5 more pages every half hour.

6 0
3 years ago
) The manager of a local Gap store estimates that on average the probability of a customer entering the store and will purchase
xeze [42]

Answer: 1. 0.0256

2. 0.4096

Step-by-step explanation:

Binomial probability formula , to find the probability of getting x successes:

P(x)=^nC_xp^x(1-p)^{n-x} , where n= Total number of trials

p= Probability of getting success in each trial.

Let x be the number of customers will make purchase.

As per given , we have

p= 0.20

n= 4

1. The probability that 3 of the next 4 customers will make a purchase will be:-

P(x=3)=^4C_3(0.20)^3(1-0.20)^{4-3}

P(x=3)=(4)(0.20)^3(0.80)^{1}\ \ [\because\ ^nC_{n-1}=n]

P(x=3)=(4)(0.008)(0.80)=0.0256

Hence, the probability that 3 of the next 4 customers will make a purchase = 0.0256

2. The probability that none of the next 4 customers will make a purchase will be :

P(x=0)=^4C_0(0.20)^0(1-0.20)^{4-0}

P(x=0)=(1)(0.80)^{4}\ \ [\because\ ^nC_{0}=1]

P(x=0)=0.4096

Hence, the probability that none of the next 4 customers will make a purchase= 0.4096

5 0
3 years ago
A graph has a constant of proportionality of 2.54. Let y represent centimeters and x represent inches. What is the unit rate of
Helga [31]

Answer: 2.54 is the rate of the given equation.

Step-by-step explanation:

Let x is the independent variable and y is the dependent variable.

Since, By the definition of proportionality,

y = k x

Where k is the constant of proportionality.

And, Here k = 2.54

Thus, the equation of line is,

y = 2.54 x

since, rate of the equation is the slope of the line.

And, the general equation of line

y = m x +c

Where, m is the slope of the line.

By comparing the equation of line y = 2.54 x  with this.

The slope of the line = 2.54

Therefore, 2.54 is the rate of the given equation.



3 0
3 years ago
Write an equation of a line containing (2, -3) and perpendicular to 3x+4y=14 answer
Sergio039 [100]

Answer:

Step-by-step explanation:

From the condition of perpendicularity, if two lines must be perpendicular to each other, the product of their gradient rather the slope must be equaled to ( -1 ).

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Therefore, m1, = -3/4 and m2, = 4/3 going by the condition. Since the line passes through the coordinate of (2,3), where x = 2, and y = -3, then, substitute for x and y in y = mx+ c, minding the m2, to find C, therefore,

-3 = 4/3x2 + c. -3 = 8/3 +c

Multiply through by 3 to make it a linear equation,

-9 = 8 + 3c; -9 - 8 = 3c, -17= 3c

c = -17/3.Now substitute for c in the equation ,y = mx+ c, the equation now becomes, y = 4x/3 - 17/3. Therefore the new equation is

3y = -4x - 17.

7 0
3 years ago
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