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stepan [7]
4 years ago
7

(02.02 HC) Austin is comparing the prices of two car rental companies. Company A charges $24 per day and an additional $25 as se

rvice charges. Company B charges $22 per day and an additional $40 as service charges. Part A: Write an equation to represent each company's total charges for renting a car for a certain number of days. For both equations (one for Company A and one for Company B), define the variable used. (4 points) Part B: Which company would charge less for renting a car for 4 days? Justify your answer. (3 points) Part C: How much money is saved by using the services of Company A instead of Company B to rent a car for 6 days? (3 points)
Mathematics
1 answer:
My name is Ann [436]4 years ago
5 0

Answer:

A: Company a; 49 dollars company b; 62 dollars Part B: company a because it costs less

Step-by-step explanation:

Part A

  • add 24 and 25
  • add 22 and 40

Part B

  • multiply 49 by 4
  • multiply 62 by 4
  • Which one is greater?
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3 years ago
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Two teaching methods, A and B, are implemented for learning Spanish. There is a 70% chance of successfully learning Spanish if m
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Answer:

(a) Shown below.

(b) Shown below.

(c) The probability that a person does not learn Spanish is 0.18.

(d) The probability that method B was used given that a student learned the Spanish successfully is 0.83.

Step-by-step explanation:

(a)

Consider the provided data.

P(A)=0.20\\P(B)=0.80\\P(L|A)=0.70\\P(L|B)=0.85

Then the probability of not learning Spanish using the respective methods are:

P(L'|A)=1-P(L|A)=1-0.70=0.30\\\\P(L'|B)=1-P(L|B)=1-0.70=0.15

(b)

The Probability Tree representing each of the probabilities mentioned above is attached below.

(c)

Compute the probability that a person does not learn Spanish as follows:

P(L')=P(L'|A)P(A)+P(L'|B)P(B)

         =(0.30\times 0.20)+(0.15\times 0.80)\\\\=0.06+0.12\\\\=0.18

Thus, the probability that a person does not learn Spanish is 0.18.

(d)

Compute the probability that method B was used given that a student learned the Spanish successfully as follows:

P(B|L)=\frac{P(L|B)P(B)}{P(L|A)P(A)+P(L|B)P(B)}

            =\frac{(0.85\times 0.80)}{(0.70\times 0.20)+(0.85\times 0.80)}\\\\=\frac{0.68}{0.14+0.68}\\\\=0.82927\\\\\approx 0.83

Thus, the probability that method B was used given that a student learned the Spanish successfully is 0.83.

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3 years ago
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What are the options for answers?
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In January, Mr Tan's students read 20 books. In Febuary, they read 15 books. What is the percent increase or decrease in the num
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I need the answer to 7 ASAP. Thank you.
Ksju [112]

Answer:

a=14.63

c=13.63

Step-by-step explanation:

a = sinA*b

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