The following section is a statement from the rental agreement Tim signed when he rented his car this past weekend.

"Upon checkout, the fuel level of the vehicle will be determined by turning the vehicle on and visually inspecting the fuel gauge. The approximate fuel level will be recorded on the Check-Out sheet and verified with initials by the vehicle Renter. One copy of the Check-Out sheet will be given to the customer. Another copy will be kept with the on-site records of the vehicle.

"The rented vehicle must be returned with a minimum fuel level the same as that indicated on the Check-Out sheet. A vehicle returned with a fuel level less than the approximate level indicated on the Check-Out sheet will be completely refueled with on-site pumps. The price of the fuel used to refuel the vehicle will be added to the Renter's total charge at a cost of $4.50 per gallon plus a $5.00 refueling charge."

Tim is running extremely late and has just 5 minutes to return his rental car to the agency. The fuel tank in the car is half empty. It was full when he picked it up. (The car has a 12-gallon fuel tank.) He doesn't think he can get gas and get to the agency to return the car in time. Returning the car a day late will result in an extra daily rental charge of $32.00 and refueling the car on his own will cost $2.59 per gallon at the local gas station. Which of the following statements is true?
a.
It would be cheaper to refuel the car and return it a day late.
b.
It would be cheaper to return the car on time and pay the refueling costs.
c.
It would cost about the same to return the car on time without gas or one day late with gas.
d.
Tim is not responsible for refueling the car when he returns it.

If Speed = dist/time, then;

dist = speed * time

We also know that both of them travel the same distance, so we equate the distance travelled to each other

36 * x+45 = 72 * x

36x + 1620 = 72x

72x - 36x = 1620

36x = 1620

x = 1620/36

x = 45 miles

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Answer:

$425000

Step-by-step explanation:

561000*100/132=425000

[tex] \large╚»★«╝ { \mathcal{Answer }}╚»★«╝[/tex]

The Correct option among them is B

_____________________________________

The other options have one variable each, but according to the given question there should be two variables in the inequality.

The only choice satisfying the conditions is Option B

having two variables in it ( that is "m" and "n" )

[tex] ꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]

Answer:

9×y

Step-by-step explanation:

the

answer

of

the

given

is 9y

For a square:

A = s2, where s = side (the length and the width are the same)

625 = s2

±25 = s

length of rectangle = 1.4 · length of square

length of rectangle = 1.4(25)

length of rectangle = 35

Answer:

-1.8 million. This means that the business likely spent a lot on production and generated very little sales during the first year.

Step-by-step explanation:

2.3 - 4.1= -1.8

[tex]\\\text{Given that,}\\\\(x_1 , y_1) = (5,6) ,~~ (x_2, y_2) = (-5,-4)\\\\\text{Slope},~m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-4-6}{-5-5} = \dfrac{-10}{-10} = 1[/tex]

Answer:

Answer: 5/9 as a decimal is 0.556.

5/9 ≈ 0.56 rounded to the nearest hundredth, good luck

Answer:

Step-by-step explanation:

f(x)= -2/9x + 1/3 = -2/9(0) + 1/3 = 0 + 1/3= 1/3

Use the Chain Rule:

[tex]\frac{d}{dx} [f(g(x))] = f'(g(x)) * g'(x)[/tex]

Given Information:

[tex]f(x) = x^5\\ g(x) = \frac{cos(x)}{1} +sin(x)\\ f(g(x)) = ( \frac{cos(x)}{1} +sin(x))^5\\ \\ f'(x)=5x^4\\ g'(x)=\frac{-sin(x)}{1} + cos(x)\\f'(g(x))*g'(x)=5(\frac{cosx)}{1} + sin(x))^4*(\frac{-sin(x)}{1} + cos(x))[/tex]

The answer is:

[tex]5(\frac{cosx)}{1} + sin(x))^4*(\frac{-sin(x)}{1} + cos(x))[/tex]

Answer:

850 people

Step-by-step explanation:

10,200 people in 12 rows

÷ 12 on both sides:

[tex]\frac{10200}{12}[/tex] people in [tex]\frac{12}{12}[/tex] rows

[tex]850[/tex] people in [tex]1[/tex] row.

Answer:

The rule for a profit-maximizing perfectly competitive firm is to produce the level of output where Price= MR = MC, so the raspberry farmer will produce a quantity of 90, which is labeled as e in Figure 4 (a). Remember that the area of a rectangle is equal to its base multiplied by its height.

Step-by-step explanation:

if I understand this correctly as logarithm of 64 to the base of 64, then the answer is clearly 1

64¹ = 64.

Answer:

5.5 hours

Step-by-step explanation:

time = distance/speed

t = 330/60

t = 5.5 hours

Is the wrong answer, the correct answer is 1,436.4

Answer:

Hello!

After reviewing the problem you have provided I have come up with the correct solution:

x= 9

Step-by-step explanation:

To come up with this solution you have to first realize that the smaller triangle is a proportionally scaled down version of the entire larger triangle! (I will show what I mean in a linked picture)

So after we have realized that the smaller triangle is a scaled down version of the larger one, we can then create a formula or ratio to calculate the value of the missing side of the larger triangle (being x+6=??).

To create the formula/ratio I divided 10inches by 4inches. Thus the larger triangle is 2.5 times larger than the smaller one.

I then use this ratio to figure out the missing length of the larger triangle by doing:

6inches x 2.5 = 15inches.

I then inputed the 15inches into the formula of the missing side:

x+6=15

Subtracted 6 from both sides to simplify, and came up with the solution!

x=9

Let me know if this helps!

Answer:

  13.05%

Step-by-step explanation:

The value of an ordinary annuity earning interest compounded annually is ...

  A = P((1 +r)^n -1)/r . . . . . interest rate r for n years on principal payments P

For this account, the balance after 5 years will be ...

  A = 3000((1 +.07)^5 -1)/0.07 = 3000·5.750739

The sum of payments is ...

  payment total = 3000·5

Then the amount of interest is ...

  3000·(5.750739 -5) = 3000·0.750739

and the fraction that is of the account balance is ...

  (3000·0.750739)/(3000·5.750739) × 100% ≈ 13.05%

About 13.05% of the balance is interest earned.

Answer: -30

Step-by-step explanation:

Answer:

D. Multiply both sides by -7

Step-by-step explanation:

So solving would look like this

m/-7 < 14

m > -2

Remember when multiplying by a negative the sign flips, hope that helps :)

Answer:

5.Math is a very different one that

Ok

Answer:

c :)

Step-by-step explanation:

i guessed and got it right <3

[tex]\frac{x}{5} +3=2\\\frac{x}{5} =-1\\x=-5[/tex]

Let me know if you need any clarification, I just don't have much to say on a simple question like this

Answer:last one

Step-by-step explanation:

A random number generator picks a number from 6 to 66 in a uniform manner, its resultants are  mathematically given as

Generally, the equation for Mean is mathematically given as

[tex]X=\frac{a+b}{2}\\\\Therefore\\\\X=\frac{6+66}{2}[/tex]

X=36

b)

Generally, the equation for standard deviation is mathematically given as

[tex]\sigma=\sqrt{\frac{b-a}{12}^2}\\\\Therefore\\\\\sigma=\sqrt{(\frac{66-6}{12})^2}\\\\\sigma=\sqrt{25}\\\\[/tex]

[tex]\sigma=5[/tex]

c)

The probability that the number will be exactly 19

[tex]p(x=19)=\frac{19-6}{66-6}[/tex]

p(x=19)=0.2167

d)

The probability that the number will be between 28 and 46 is P(28 < x < 46)

[tex]P(28 < x < 46) =\frac{46-6}{66-6} -(\frac{28-6}{66-6})[/tex]

P(28 < x < 46) =0.3

e)

The probability that the number will be larger than 48 is P(x > 48)

[tex]P(x > 48)=1-P(x\leq 48)[/tex]

Therefore

[tex]P(x > 48)=1-(\frac{48-6}{66-6})[/tex]

P(x > 48)=0.3

f)

[tex]P(x > 17 | x < 62) = P(x\leq 62-P(x leq 17))[/tex]

Therefore

[tex]P(x > 17 | x < 62) =\frac{62-6}{66-6}-(\frac{17-6}{66-6})[/tex]

P(x > 17 | x < 62) =0.75

g)

The 49th percentile

[tex]p(x\leqk=k.(1/66-6))[/tex]

Therefore

[tex]0.49=k*(1/(66-6))[/tex]

k=29.4

h)

The maximum for the lower quartile

P(xl)=h*1/60

0.25=h*1/60

h=15

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Answer:

15

Step-by-step explanation:

Answer:

4 better explanation inbox

Step-by-step explanation:

Answer:

David= 30

Maria= 15

Trey= 20

Step-by-step explanation:

If David sent 30 messages, then half as as many as that would be 15, the amount that Maria sent. 5 more than what Maria would be what Trey sent, 20.