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antoniya [11.8K]
2 years ago
15

(BEST ANSWER GETS BRAINLIEST)(!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
yawa3891 [41]2 years ago
5 0
$12950 is the initial cost. This is because, in the function <span>f(d)=275d+12,950,
275 is the amount that changes depending on the number of days, d is th enumber of days so 12950 would be the initial amount that never changes.</span>
Ksenya-84 [330]2 years ago
4 0
<span>The initial cost is $12,950.

Hope this was helpful!</span>
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Two car rental companies charge an initial rental fee plus a fee per day. The table shows the total costs of renting a car for x
Fynjy0 [20]

Answer:

a) Which rental company charges less per day?

Payless rental company

b) How many days must you rent a car for the total costs to be the same?​

3 days.

Step-by-step explanation:

We have car rental companies

Discount car rentals and Pay less car rentals.

x = number of days

y = Total cost.

a) Let's assume the starting day of renting a car is 2 days

We need to determine the Equation for discount rentals.

For Discount car rentals

2 days = $185

4 days = $265

6 days = $345

8 days = $425

The difference between 2 days = $265 - $185 = $80

If the difference between 2 days = $80

Difference between 1 day = $80/2

= $40

If you rent a car for 1 day,

185 - 40 =$145

Hence, the Equation for payment for Discount rentals =

y = 40x + 105

b) For Pay less car rentals

This equation was given: y = 55x + 60.

y = Total cost, x = number of days

a) 1 day

y = 55(1) + 60

y = $115

b) 2 days

y = 55(2) + 60

y = 110 + 60

y = $170

c) 3 days

y = 55(3) + 60

= 165 + 60

= $225

d)For 4 days

y = 55x + 60.

y = 55 × 4 + 60

y = 220 + 60

y = $280

e) For 5 days

y = 55x + 60.

y = 55 × 5 + 60

y = 275 + 60

y = $335

f) For 6 days

y = 55x + 60.

y = 55 × 6 + 60

y = 330 + 60

y = $380

g) For 7 days

y = 55x + 60.

y = 55 × 7 + 60

y = 385 + 60

y = $445

h) For 8 days

y = 55x + 60.

y = 55 × 8 + 60

y = 440 + 60

y = $500

a) Which rental company charges less per day?

The total coast for renting a car as determined in the above calculation

For 1 day in Discount car rentals = $145

For 1 day in Payless car rentals = $115

From the above calculation, it is Payless rental company

b) How many days must you rent a car for the total costs to be the same?

We equate both equations to each other

y = 40x + 105 = y = 55x + 60.

40x + 105 = 55x + 60

105 - 60 = 55x - 40x

45 = 15x

x = 45/15

x = 3 days.

Therefore, after 3 days, the total cost of renting a car from Discount car rentals or Payless car rentals is the same.

8 0
2 years ago
The law of cosines is a^2+b^2-2abcosC=c^2. Find the value of 2abcosC.
polet [3.4K]
2ab x cos (C) = 7 because

a^2 + b^2 - 2ab x cos(C) = c^2
2ab x cos(C) = a^2 + b^2 - c^2
2ab x cos(C) = 2^2 + 2^2 - 1^2
2ab x cos (C) = 7
4 0
2 years ago
Read 2 more answers
The diagram shows a cube of side length 4 inches. A is a vertex of the cube, while B and C are located on opposite edges of the
Nikolay [14]

Answer:

we will get an isosceles triangle as a result.

Step-by-step explanation:

when the point A is joined to B and C we will get the side AB and AC of equal length.

length of AB and AC could be calculated easily with the help of pythagorean theorem where the base and perpendicular are of length 4in and 1in .

when we will cut a plane including the the points A,B and C we will get a triangle whose sides AB and AC are equal but BC would be of distinct length.

Hence, the resultant figure will be an isosceles triangle.


5 0
2 years ago
Read 2 more answers
Find the mean, median and mode of the weights of the people shown. 105kg 53kg 76kg 91kg 120kg 61kg 55kg 98kg 61kg
Yuliya22 [10]
First, you need to put them in order
53kg, 55kg, 61kg, 61kg, 76kg, 91kg, 98kg, 105kg, 120kg

For mean, you add them all up and divide by the amount of numbers (9)
720/9 = 80

For median, you find the middle number (76kg)

For mode, you find the number that appears the most (61kg)

Mean: 80
Median: 76
Mode: 61
5 0
2 years ago
Read 2 more answers
According to a study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That
timama [110]

Answer:

Let X the random variable of interest "number of tweets with no reaction", on this case we now that:

X \sim Binom(n=100, p=0.71)

And the expected value is given by:

E(X) = np =100*0.71 = 71

So we expect about 71 tweets with no reaction for this case.

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

Let X the random variable of interest "number of tweets with no reaction", on this case we now that:

X \sim Binom(n=100, p=0.71)

And the expected value is given by:

E(X) = np =100*0.71 = 71

So we expect about 71 tweets with no reaction for this case.

3 0
2 years ago
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