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3 years ago

A rental car company charges $51 per day to rent a car and $0.14 for every mile

Mathematics

1 answer:

I am Lyosha [343]3 years ago

7 0

Answer:

Step-by-step explanation:

1 eat

2 sleep

3 answer

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Find the value of x. Round your answer to the nearest tenth.

harkovskaia [24]

Answer:

3.106

Step-by-step explanation: hope this helps

3 0

3 years ago

Read 2 more answers

URGENT! Are these congruent? If so by which theorem

timurjin [86]

Answer:

They are congruent by the AAS theorem!

Step-by-step explanation:

Sides EF and HJ are congruent, angles E and J are congruent and angles EGF and HGJ are congruent because they are vertical angles. Therefore, the triangles are congruent by the AAS theorem!

Hope this helps you :)

8 0

3 years ago

A company's revenue from selling x units of an item is given as R=1700x-2x^2 . If sales are increasing at the rate of 25 units p

viva [34]

Answer:

The daily rate is: 17500 units per day

Step-by-step explanation:

Given

$R = 1700x - 2x^2$

$\frac{dx}{dt} = 25$

Required

Find $\frac{dR}{dt}$ when $x = 250$

We have:

$R = 1700x - 2x^2$

Differentiate both sides with respect to time

$\frac{dR}{dt} = 1700\frac{dx}{dt} - 4x\frac{dx}{dt}$

Factorize

$\frac{dR}{dt} = (1700- 4x)\frac{dx}{dt}$

Substitute: $\frac{dx}{dt} = 25$ and $x = 250$

$\frac{dR}{dt} = (1700- 4x)\frac{dx}{dt}$

$\frac{dR}{dt} = (1700- 4*250)*25$

$\frac{dR}{dt} = (1700- 1000)*25$

$\frac{dR}{dt} = 700*25$

$\frac{dR}{dt} = 17500$

5 0

3 years ago

8. rajis annual salary ranges from $25 325 in the 1st year to $34 445 in the 7th year. The salaries in this range form an arithm

-Dominant- [34]

Answer:

a) $1520

b) $S_7 =$ $209195

Step-by-step explanation:

The range of salaries forms an arithmetic sequence with the first term as 25325 and its 7th term as 34445:

a) The raise the person can get each year is the common difference of the progression, d.

The nth term of an arithmetic progression is given generally as:

$a_n = a + (n - 1)d$

where a = first term = 25325

d = common difference

Therefore, the 7th term (34445) will be:

34445 = 25325 + (7 - 1)d

34445 = 25325 + 6d

=> 6d = 34445 - 25325 = 9120

d = 9120 / 6 = $1520

Therefore, the raise the person gets each year (common difference) is $1520.

b) The total amount the person will earn after 7 years is the sum of the salaries of all 7 yeas.

The sum of an arithmetic progression up to the nth term is given as:

$S_n = \frac{n}{2}(2a + (n - 1)d)\\ \\$

Therefore, the sum of the person's salary for the 7 years is:

$S_7 = \frac{7}{2}(2 * 25325 + (7 - 1)1520)\\ \\S_7 = 3.5 (50650 + 6(1520))\\\\S_7 = 3.5 (50650 + 9120)\\\\S_7 = 3.5 * 59770\\$

$S_7 =$ $209195

That is the total amount of salary after 7 years

5 0

3 years ago

the angle of depression from a plane to the airport is 34°. the pilot reports that the plane's altitude is 3200 feet . find the

Aleksandr-060686 [28]

$look\ at\ the\ picture\\\\cot34^o=\frac{x}{3200}\\\\cot34^o\approx1.4826\\\\\frac{x}{3200}=1.4826\ \ \ \ /\cdot3200\\\\x=4744.32\ (ft.)\approx4744\ (ft.)\leftarrow answer$

6 0

4 years ago