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marshall27 [118]
3 years ago
13

Luigi is an urban planner. As an independent contractor, he charges a $140 fee plus $25 per hour for

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
7 0

Answer:

Function: y=140+25x

Amount earned for 10 hours of work: \$390

Step-by-step explanation:

Let be "x"  the number of hours worked on a project and "y" the total amount Luigi charges for a project.

Based on the data given in the exercise, you can identify that:

  • $140 is a fixed amount.
  • For each hour worked on the project, Luigi charges $25. This can be expressed as: 25x

Then, the total amount he charges for a project is the sum of $140 and 25x. This can be represented with the following function:

y=140+25x

To calculate the amount of money earned for 10 hours of work, you must substitute x=10 into the function and evaluate. Then:

y=140+25(10)\\\\y=390

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Write an equation of the line that<br> passes through (-1,2) with a slope of 4
Iteru [2.4K]

Step-by-step explanation:

Hey there!

Given;

The points is; (-1 , 2) and slope is 4.

<em>Note:</em><em> </em><em>Use </em><em>one-point</em><em> formula</em><em>.</em>

<em>(y - y1) = m(x - x1)</em>

<em>~</em><em> </em><em>Put </em><em>all</em><em> values</em><em>.</em>

(y - 2) = 4(x + 1)

~ Simplify it.

(y - 2) = 4x + 4

4x - y + 6 = 0

Therefore, the required equation is; 4x-y+6=0.

<h3><em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em></h3>

6 0
2 years ago
Jamie has saved $42 of her allowance money to buy books. If she buys 5 books at d dollars per book, she will have
Musya8 [376]

Answer:

She has 24,50$ left

Step-by-step explanation:

3,50*5 = 17,50

42$ - 17,50$ = 24,50$

4 0
2 years ago
I need help writing the first 5 terms of the sequence!
Angelina_Jolie [31]

The first five terms of the sequence are 1, 4, 7, 10, 13.

Solution:

Given data:

a_{1}=1

a_{n}=a_{n-1}+3

General term of the arithmetic sequence.

a_{n}=a_{n-1}+d, where d is the common difference.

d = 3

a_{n}=a_{n-1}+3

Put n = 2 in a_{n}=a_{n-1}+3, we get

a_{2}=a_1+3

a_{2}=1+3

a_2=4

Put n = 3 in a_{n}=a_{n-1}+3, we get

a_{3}=a_2+3

a_{3}=4+3

a_3=7

Put n = 4 in a_{n}=a_{n-1}+3, we get

a_{4}=a_3+3

a_{4}=7+3

a_4=10

Put n = 5 in a_{n}=a_{n-1}+3, we get

a_{5}=a_4+3

a_{5}=10+3

a_5=13

The first five terms of the sequence are 1, 4, 7, 10, 13.

3 0
3 years ago
three players scored a total of 70 points during a basketball game one player scored twice as many as one mate and 10 points few
Fed [463]
40+20+10=70
40 is twice 20
10 is 10 fewer than 20.
7 0
3 years ago
Read 2 more answers
Verify that -tan2x = (2tanx) / (sec^2x - 2)
sashaice [31]

Answer:

Below.

Step-by-step explanation:

- tan 2x =   -2tanx / (1 - tan^2x)

Using the identity  tan^2x = sec^2x - 1 and substituting for tan^2x:

- tan 2x = -2 tanx / (1 - (sec^2x - 1))

=   2 tanx / ( - 1(sec^2x + 2))

= 2 tan x / (sec^2 x - 2)

8 0
3 years ago
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