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daser333 [38]
3 years ago
14

Joe used a coupon that allowed him to stay five nights at the pleasant dreams hotel for a total of $410. If he had not used the

coupon, his room would have cost $10 more each night. How much would Joe have paid for each night without the coupon
Mathematics
2 answers:
larisa [96]3 years ago
8 0
Answer) $92 A night
Explanation) First you would add $50 to the initial $410 making the total for all 5 nights without the coupon $460. You would then divide $460 by 5 since he stayed for 5 nights getting your answer of $92 a night.
postnew [5]3 years ago
7 0

Answer:

$92

Step-by-step explanation:

First, you need to divide the expense between the 5 nights. So 410/5=82. This is still with the coupon though. You need to add 10. When you do, you get $92/night. So, for five nights without the coupon, he would have spent $460 for the entire trip. Hope this Helps!

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Suppose "35" cars start at a car race. In how many ways can the top 3 cars finish the​ race?
Thepotemich [5.8K]

Answer:

The  value  is   \left 35  } \atop }} \right. P_3  =  39270

Step-by-step explanation:

From the question we are told that

    The  total number of cars is  n  =  35

     The  number cars considered is  r = 3

Generally the number of different top three finishes possible for this race of 35 cars  is mathematically represented as

       \left n } \atop }} \right. P_r  =   \frac{n!}{(n - r) !}

       \left 35  } \atop }} \right. P_3  =   \frac{35! }{(35 - 3) !}

       \left 35  } \atop }} \right. P_3  =   \frac{35 *  34 *  33 *  32! }{32 !}

       \left 35  } \atop }} \right. P_3  =  39270

7 0
2 years ago
Sesame Company purchased a computer system for $74,000 on January 1, 2018. It was depreciated based on a 7-year life and an $18,
amm1812

Answer: $24000

Step-by-step explanation:

Depreciation for 2018 = ($74,000 - $18000) / 7

= $56000/7

= $8000

Depreciation for 2019 = ($74,000 - $18000) / 7

= $56000/7

= $8000

Depreciation up to 2019 = $8000 + $8000 = $16000

Book value at end of 2019 = $74000 - $16000 = $58000

Revised residual value = $10,000

Number of remaining years = 4-2 = 2 years

Depreciation expensed for 2020 will be:

= ($58000 - $10,000) / 2

= $48000/2

= $24000

7 0
2 years ago
In a certain town in the united states, 40% of the population are democrats and 60% are republicans. The municipal government ha
mixer [17]

Answer:

(a) 0.48, (b) 0.625, (c) 0.1923

Step-by-step explanation:

First define

Probability a person is a democrat: P(D) = 0.4

Probability a person is a republican: P(R) = 0.6

Probability a person support the measure given that the person is a democrat: P(SM | D) = 0.75

Probability a person support the measure given that the person is a republican: P(SM | R) = 0.3

Now for the Theorem of total probabilities we have

(a) P(SM) = P(SM | D)P(D)+P(SM | R)P(R) = (0.75)(0.4)+(0.3)(0.6) = 0.48

and for the Bayes' Formula we have

(b) P(D | SM) = P(SM | D)P(D)/[P(SM | D)P(D)+P(SM | R)P(R)] = (0.75)(0.4)/0.48 = 0.625

Now let SMc be the complement of support the measure, i.e.,

P(SMc | D) = 0.25 : Probability a person does not support the measure given that the person is a democrat

P(SMc | R) = 0.7: Probability a person does not support the measure given that the person is a republican,

and also for the Bayes' Formula we have

(c) P(D | SMc) = P(SMc | D)P(D)/[P(SMc | D)P(D)+P(SMc | R)P(R)] = (0.25)(0.4)/[(0.25)(0.4)+(0.7)(0.6)] = 0.1/(0.52)=0.1923

4 0
3 years ago
Evelyn took a job that paid $100 the first week. She was guaranteed a raise of 2% each week. How much money will she make in all
Zanzabum
This is a growth exponential equation. 
It can be solved 2 ways, but one of them is long and cumbersome and not worth the effort. You could take 2% of the base number and keep doing it 8 times. 

The other way is to realize that 100$ + 2% of 100 dollars can be written as 2% = 2/100 = 0.02 and that can be written as
100( 1 + 0.02 ) = 100(1.02) Now if you want this to be raised 8 times, it will look like this
y = 100(1.02)^(n - 1) for any number of weeks
y(8) = 100(1.02)^7 = 114.87
So at week 1 she has 100 dollars and at week 8 she has 114.87 dollars.

Comment
Realize that if her boss does not want to give her compounded interest that she could still make
Ln = L_{8} = 100 + (n - 1)*0.02*100
L_{8} = 100 + 7*0.02*100 = 100 + 14. = 114
By compounding she makes a whole 0.87$ more. 


6 0
2 years ago
Find the values of x and y for which the quadrilateral must be a parallelogram.
BabaBlast [244]

Answer:

I believe you are right.

Step-by-step explanation:

All sides seem to be of similar length. The values you put in would make the sides equal so I would go with that one.

5 0
3 years ago
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