Danae is choosing between two jobs. One job pays an annual bonus of $1,500 plus $120 per day worked. The second job pays a annual bonus of $2,500 plus $100 per day worked.
120d + 1,500=100d+ 2,500
d=100
How much will Danae have earned on day 100 at either job?
A: 12,000
B:12,500
C:13,500
D:14,500

Answer:

The correct option is Option C

Step-by-step explanation:

We are given the lines: [tex]y=-\frac{4}{5}x+2 \ and \ \ y=-\frac{5}{4}x-\frac{1}{2}[/tex]

The lines are perpendicular if they have opposite slopes i,e [tex]m_1=-\frac{1}{m_2}[/tex]

In line 1 the slope is [tex]-\frac{4}{5}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-4/5)

In line 2 the slope is [tex]-\frac{5}{4}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-5/4)

The opposite reciprocal of -4/5 is 5/4  

So, the lines are not perpendicular as their slopes are not opposite reciprocal of each other.

If the lines are parallel there slope must be same. Hence lines are not parallel as well.

So, The correct option is Option C

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

57=4w+13

57-13=4w

44=4w

w=11

Answer:

(X-x0)^2 +(y-y0)^2= r^2

R=4

R^2=16

(X-0)^2+(y-0)^2=16

Answer:

D. If you go through all the equations they all come out true beside this one. With this one Alisha pays $1,480 which is less than $1,500

Answer:

GH=45

HJ=81.6

GJ=53.4

Step-by-step explanation:

hope i helped <3

Answer:

I think the answer is 6 sorry if i'm wrong

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

it isn't a straight line, so it is nonlinear

Answer:

Step-by-step explanation:

((3×5)+4)/5=

19/5

The improper fraction is 19/5.

We have to convert [tex]3 \dfrac{4}{5}[/tex]  it into an improper fraction.

To convert into an improper fraction calculation must be done in a single unit following all the steps given below.

                    [tex]= \dfrac{3 \times 5 + 4}{5}[/tex]

                    [tex]=\dfrac{15+4}{5}\\\\=\dfrac{19}{5}[/tex]

Hence, The improper fraction is 19/5.

To know more about Fractions click the link given below.

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Answer:

PA = 20 units

NL = 20 units

Step-by-step explanation:

Property of a rectangle,

"Diagonals of a rectangle are equal in measure and divide each other in two equal parts"

By using this property,

PT = TL

(x + 3) = (3x - 11)

3x - x = 11 + 3

2x = 14

x = 7

Length of PT = (x + 3) = 10

Length pf PA = 2(PT) = 20 units

Length of NL = PA = 20 units

Answer:20,24,28,32

Step-by-step explanation:

Answer:

20, 24, 28, 32

Step-by-step explanation:

The sequence is counting by 4. Wasn't sure how many numbers you were looking for, but if you need more than what was given in the answer then keep counting up by 4.

Answer:

9.6

Step-by-step explanation:

First you figure out that the shadow is 2.5 times larger than what is casting it. Then you divide 24 by 2.5.

A and B

Both A and B, when simplified get -(1/6), because the others have either 0 or 2 negative signs, denoting a positive end result.

Answer:

-74

Step-by-step explanation:

First: 5-2=3

-9*3=-27

111÷3=37

Then do -27-37=-74

Answer:

-9·3-111 ÷3

-27-111 ÷3

-27-37= -64

the answer is -64

Answer:

the number on the left is half of the amount of the number next to it on the right, so the next three terms are 64, 128, 256

Step-by-step explanation:

ex 4x2=8 8x2=16 16x2=32

Answer:

x = 120

Step-by-step explanation:

Given

0.25(x + 4) - 3 = 28 ( add 3 to both sides )

0.25(x + 4) = 31 ( divide both sides by 0.25 )

x + 4 = 124 ( subtract 4 from both sides )

x = 120

The value of x that satisfies the equation 0.25(x + 4) - 3 = 28 is x = 120.

Here, we have,

To solve the equation 0.25(x + 4) - 3 = 28, we will follow these steps:

Let's go through each step in detail:

Step 1: Distribute the 0.25 to the terms inside the parentheses.

0.25(x + 4) - 3 = 28

Distribute 0.25 to (x + 4):

0.25x + 0.25 * 4 - 3 = 28

Step 2: Simplify the equation by combining like terms.

0.25x + 1 - 3 = 28

Simplify 0.25 * 4:

0.25x + 1 - 3 = 28

0.25x - 2 = 28

Step 3: Isolate the variable x on one side of the equation.

To isolate the variable x, we want to get rid of the constant term -2 on the left side.

We can do this by adding 2 to both sides:

0.25x - 2 + 2 = 28 + 2

Simplifying:

0.25x = 30

Step 4: Solve for x.

To find the value of x, divide both sides by 0.25:

0.25x / 0.25 = 30 / 0.25

Simplifying:

x = 120

So, the value of x that satisfies the equation 0.25(x + 4) - 3 = 28 is x = 120.

To learn more on equation click:

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#SPJ6

Given:

Functions are

[tex]f(x)=\dfrac{1}{3}x^2+4[/tex]

[tex]g(x)=9x-12[/tex]

To find:

The value of [tex]g(f(x)).[/tex].

Solution:

We have,

[tex]g(f(x))=g(\dfrac{1}{3}x^2+4)[/tex]        [tex][\because f(x)=\dfrac{1}{3}x^2+4][/tex]

[tex]g(f(x))=9(\dfrac{1}{3}x^2+4)-12[/tex]        [tex][\because g(x)=9x-12][/tex]

[tex]g(f(x))=9(\dfrac{1}{3}x^2)+9(4)-12[/tex]

[tex]g(f(x))=3x^2+36-12[/tex]

[tex]g(f(x))=3x^2+24[/tex]

Therefore, the required function is [tex]g(f(x))=3x^2+24[/tex].

Following are the calculation to the given function:

Given:

[tex]f(x)=\frac{1}{3}x^2+4 \\\\g(x)=9x-12[/tex]

To find:

[tex]g(f(x))=?[/tex]

Solution:

[tex]f(x)=\frac{1}{3}x^2+4 \\\\g(x)=9x-12[/tex]

[tex]\to g(f(x))=g( \frac{1}{3} x^2+4) \\\\[/tex]

                [tex]=9( \frac{1}{3} x^2+4)-12 \\\\=\frac{9}{3}x^2+36-12 \\\\=3x^2+24 \\[/tex]

Therefore, the answer is "[tex]24+3x^2[/tex]" .

Learn more about the g(f(x)):

brainly.com/question/17022176

Answer:

78.5

Step-by-step explanation:

add 1+2+3+4+5+6+7+100-56=78.5

Answer:

5. y = -1/2x + 6

6.  y = 1/2x + 150

7. y = 10x + 20

8. y = 25x

Step-by-step explanation:

Look at the y-intercept and eliminate the answers you dont need.

Then find the slope of each.

Answer:

39.66

Step-by-step explanation:

i think your asking how much his total is going to be you didnt put the whole question so I really dont know

Answer:

point slope form is below. since you have the slope already, all you have to do is plug in the point for x1 and y1 and then the slope for m

y - y1 = m(x -x1)

y - 2 = -4 (x - 2) (this is the equation)

Step-by-step explanation:

Answer: x≥-3

Step-by-step explanation:

-(4x-5)+16x≥-31

-4x+5+16x≥-31

12x+5≥-31

   -5  -5

12x≥-36

12/12x≥-36/12

x≥-3

hope this helped :)

Answer:

$1.97

Step-by-step explanation:

Answer:

I believe 7x, 4y, and 1

Step-by-step explanation:

I belive the answer is C.

Answer:

Step-by-step explanation: