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devlian [24]
2 years ago
7

An elevator starts at the 6th floor. It goes up 7 floors twice, and then it goes

Mathematics
2 answers:
seraphim [82]2 years ago
4 0
The second

6+(7×2)-10 = 10
20-(5×3)+12 = 17
kodGreya [7K]2 years ago
3 0
The first elevator starts at 6th floor, and it goes up 7 floor twice, so it's going to be 6+2 x 7=6+14=20

The second elevator starts at 20th, it goes down 5 floor 3 times, then goes up 12 floor, so it's going to be 20-3 x 5+12=20-15+12=5+12=17.

20>17 so it's the first elevator.
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2,
mariarad [96]

Answer:

Insurance will pay $250,000 and Ronaldo will pay $90,000

Step-by-step explanation:

50/250 means 50 is the maxi9$50,000 per person for body injury liability while 250 means $250,000 maximum for one accident for body injury liability claim.

18 children each was awarded $20,000 as a result of lawsuit

Total amount of lawsuit=18×$20000= $360000

Ronald has 50/250 BI

Total amount insurance will pay =250,000

Ronald will have to pay= $(360,000-250000)=$90,000

8 0
2 years ago
John must have at least 289 test points to pass his math class. He already has test scores of 72, 78, and 70. Which inequality w
dedylja [7]
Since the sum of scores must be at least 289:

72+78+70+x ≥ 289
8 0
2 years ago
Read 2 more answers
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
2 years ago
On commencing employment a man is paid a salary of $7200 per annum and receives annual increments of $350. Determine his salary
Marina CMI [18]

Answer:

Step-by-step explanation:

From the question, we can form an equation like: S = 7200 + 350X

where S is the salary and X is year.

1. His salary in the 9th year, means X=9, so we substitute 9 into the equation to find S = 7200 +350 (9) = 10350

2. The total he will have in the first 12years, we have:

Sum of first n terms of an <em><u>AP: S =(n/2)[2a + (n- 1)d]</u></em> where a is the value of the 1st term, here a is 7200 and d = 350 the common difference between terms

=> S = (12/2)[2*7200 + (12- 1)350] = 109500

8 0
2 years ago
A high school wants to sell postage stamps with the school logo on them. The fundraising group have purchased 500 sheets of stam
erma4kov [3.2K]

Answer:

a) Cost

C(q) = 50+16q\\\\C(500)=50+16(500)=50+8,000=8,050

b) Sales income

S(q)=20q\\\\S(500)=20\cdot 500 = 10,000

c) Table of values

\left[\begin{array}{ccc}q&C(q)&S(q)\\0&50&0\\250&4,050&5,000\\500&8,050&10,000\end{array}\right]

d) Attached

e) Breakeven point = 12.5 sheets

f) Profit at 550 sheets = $1,950

Step-by-step explanation:

a) We have a fixed cost for the image, at $50.

We also have a variable cost of $16 a sheet.

The purchased quantity is 500 sheets.

Then, the cost function is:

C(q) = 50+16q\\\\C(500)=50+16(500)=50+8,000=8,050

b) The price for each sheet is $20, so the income from sales are:

S(q)=20q\\\\S(500)=20\cdot 500 = 10,000

c) Table of values

\left[\begin{array}{ccc}q&C(q)&S(q)\\0&50&0\\250&4,050&5,000\\500&8,050&10,000\end{array}\right]

d) Attached

e) The minimum number of sheets the group must sell so they don't lose any money is the breakeven point (BEP) and can be calculated making the income sales equal to the cost:

S(q)=C(q)\\\\20q=50+16q\\\\(20-16)q=50\\\\4q=50\\\\q=50/4=12.5

f) This profit can be calculated as the difference between the sales income and the cost:

P(500)=S(500)-C(500)\\\\P(500)=20\cdot 500-(50+16\cdot 500)=10,000-8,050=1,950

3 0
2 years ago
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