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gogolik [260]
4 years ago
8

When a student sold an Xbox on eBay for $145, she was charged a two-part final value fee: 5.25% of the first $25 of the selling

price plus 3.25% of the remainder of the selling price over $25. Find the fee to sell the Xbox on eBay. (Round your answer to the nearest cent.)
Mathematics
1 answer:
Contact [7]4 years ago
6 0
Selling Price = $145

Charge on first $25 is 5.25%
5.25% of $25 = \frac{5.25}{100}*25= \frac{5.25}{4} = 1.3125

Charge on rest is 3.25%
rest amount = $145 - $25 = $120
3.25% of $120 = \frac{3.25}{100}*120=3.9

Total\ charge=1.3125+3.9=5.2125 =\boxed{5.21}


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The caller times at a customer service center has an exponential distribution with an average of 22 seconds. Find the probabilit
jenyasd209 [6]

Answer:

The probability that a randomly selected call time will be less than 30 seconds is 0.7443.

Step-by-step explanation:

We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.

Let X = caller times at a customer service center

The probability distribution (pdf) of the exponential distribution is given by;

f(x) = \lambda e^{-\lambda x} ; x > 0

Here, \lambda = exponential parameter

Now, the mean of the exponential distribution is given by;

Mean =  \frac{1}{\lambda}  

So,  22=\frac{1}{\lambda}  ⇒ \lambda=\frac{1}{22}

SO, X ~ Exp(\lambda=\frac{1}{22})  

To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;

    P(X\leq x) = 1 - e^{-\lambda x}  ; x > 0

Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)

        P(X < 30)  =  1 - e^{-\frac{1}{22} \times 30}

                         =  1 - 0.2557

                         =  0.7443

7 0
4 years ago
Can someone tell me the answer to both of these
omeli [17]

Answer:

First question --> C) 8.5h

Second question --> D) 2

Step-by-step explanation:

First question

Terry earns $10 per hour

Jill earns 20% less which is $2 less

Jill earns $8 per hour

Jerry earns $0.50 more per hour than Jill

Jerry earns $8.50 per hour

Second question

x = 2

y = 4

(2x + 3y) / 4 - 2 = ?

Use PEMDAS

so Parentheses first, then divide, then subtract

So.... (2x + 3y) = (2*2 + 3*4) = (4 + 12) = 16

Then divide

16/4 = 4

Then subtract

4 - 2 = 2

3 0
3 years ago
Read 2 more answers
What is the equation of a line that passes through (7,8) and has a slope of -3
Komok [63]
It is helpful to first plug this in to point-slope form (note that there are other ways to do this).

Using the form y-y_1 = m(x-x_1), you get y-8=-3(x-7). You can simplify this to get y = -3x+29.

Answer choice A
3 0
3 years ago
Read 2 more answers
How much would $600 invested at 8% interest compounded continuously be worth after 3 years? Round your answer to the nearest cen
eduard

Answer:

yes

Step-by-step explanation:

You just do it

5 0
3 years ago
How to solve this Algebra question?
PIT_PIT [208]
  • Slope formula: \frac{y_2-y_1}{x_2-x_1}

Firstly, let's set up our equation. Place the two coordinates in the slope formula and have it equal 8: \frac{3k-4-k}{5-(-2)}=8

Next, combine like terms: \frac{2k-4}{7}=8

Next, multiply both sides by 7: 2k-4=56

Next, add 4 onto both sides of the equation: 2k=60

Lastly, divide both sides by 2 and <u>your answer will be k=30</u>

7 0
3 years ago
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