Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales in dollars, X, which can be represented by g(x) = 185 +0.03x. Jim is paid $275 per week plus 2.5% of his total sales in dollars, x, which can be represented by f(x) = 275 +0.025%. Determine the value of x, in dollars, that will make their weekly pay the same.​

Answers

Answer 1

Answer:

$18,000.

Step-by-step explanation:

When their weekly pay is the same:

185 + 0.03x =  275 + 0.025x

0.03x - 0.025x =  275 - 185

0.005x = 90

x =90/0.005

x = 18,000


Related Questions

Choose the algebraic description that maps the image ΔABC onto ΔA′B′C′.

Question 2 options:

(x,y) → (x – 4,y)


(x,y) → (x,y + 4)


(x,y) → (x,y – 4)


(x,y) → (x + 4,y)

Answers

Answer:

(x,y+4)

Step-by-step explanation:

This shows a translation of 4 units up, so the y coordinate increases by 4. Please mark brainliest as I need 1 more to move up. It would be much appreciated.

Answer:B

Step-by-step explanation:

Jim removed 27 gallons of water from a rainwater storage tank. There are 59 gallons left in the tank. What equation can Jim use to find how much water was in the tank earlier? Use x to represent the amount of water originally in the tank.

Answers

Answer: X = 86 gallons

Step-by-step explanation:

X-27=59

X=59+27

show that's ABE = EBC ​

Answers

Answer:

abe = ebc

Step-by-step explanation:

bcos both the seperate angels have the same degree

Since ABD + DBE = DBE + EBC, so ABE = EBC

find the missing side of the triangle

Answers

Answer:

7 sqrt(2) = c

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

7^2 + 7^2 = x^2

49+49 = c^2

98 = c^2

Taking the square root of each side

sqrt(98) = sqrt(c^2)

sqrt(49*2) = c

7 sqrt(2) = c

Solve for x 3x+3/x-4 = 3x+2/x+4

Answers

Answer:

here you go! with step by step so you can do it next time

Answer:

-7/8

Step-by-step explanation:

cross multiply first then expand the equations when you cross multiply it will be

(3x+3)(x+4)=(3x+2)(x-1)

3x(x+4)+3(x+4)=3x(x-1)+2(x-1)

3x²+12x+3x+12=3x²-3x+2x-2

3x²+15x+12=3x²-x-2

3x²-3x²+15x+x=-2-12

16x/16=-14/16

x=-14/16

simplified to

-7/8

I hope this helps

GH bisects LM at K. LK = 5x+2 and LM = 64 Find x

Answers

Answer:

x = 6

Step-by-step explanation:

Since GH bisects LM at K , then

LK = [tex]\frac{1}{2}[/tex] LM , that is

5x + 2 = [tex]\frac{1}{2}[/tex] × 64 = 32 ( subtract 2 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

The value of x is 6.

Here,

GH bisects LM at K.

LK = 5x+2 and LM = 64

We have to find the value of x.

What is Bisection in line?

Bisecting a line is cutting a line exactly in half. It may also be referred to as constructing a perpendicular bisector as the line you are drawing will be at a right angle to the original line.

Now,

GH bisects LM at K.

LK + KM = LM

2 LK = LM

2 ( 5x + 2 ) = 64

5x + 2 = 32

5x = 30

x = 6

Hence, The value of x is 6.

Learn more about the Bisection of line visit:

https://brainly.in/question/10606306

#SPJ2

Find the range of the function f(x)=-4x-8 for the domain {0,1,2}

Answers

Answer:

Since this function is definable for all real values of x,

Domain(f(x)) = R = (-∞,∞)

Step-by-step explanation:

Now,

Let 4x-8=y

4x = y+8

x = (y+8)/4

Since x is definable for all real values of y,

Range(f(x)) = R = (-∞,∞)

Please hurry I will mark you brainliest

What is the slope of the line with an x-intercept of 4 and a y-intercept of -3?

Answers

the answer to this question is the slope is 43

Answer:

Therefore, the slope is 3/4

Step-by-step explanation:

An x -intercept is the value of x when y=0 , so an x-intercept of 4 can be written as a coordinate on the graph as (4,0)

Likewise, an

y -intercept is the value of y when x=0 , so an y -intercept of −3can be written as a coordinate on the graph as (0,-3)

Now we have two points(4,0) (0,-3)

To find the slope given two points, we use the formula

rise÷run , or y2−y1÷x2−x1 .

Plug in the given points into the formula

-3-0/0-4

-3/-4

3/4

Therefore, the slope is 3/4

Hope this helps!

Find two fractions, when multiplied together make 3/4

Answers

Answer:

3/1 times 1/4, 3/2 times 1/2, 9/8 times 2/3

Answer:

1/2 & 3/2

Step-by-step explanation:

1/2 X 3/2 = 3/4

To get this answer, you need to think of two numbers which we can multiply to get 3 and two numbers which we can multiply to get 4.

Answer from Gauthmath

Please do this ASAP, it’s due in 30 minutes!
Thank you!
No links<3

Answers

Answer:

I think it is -24t+20 if you want to simplify

Step-by-step explanation:

Answer:

-24t + 20

Step-by-step explanation:

First, remove the parentheses

Then, multiply 6 by 5

Then expand 3(2t+4) - 30t + 8

Finally simplify 6t + 12 - 30t + 8

-24t + 20

Hope this helps!


The ratio of the corresponding dimensions of two similar parallelograms is 3.1. The
ratio of the base to height for each parallelogram is 5:4. If the height of the smaller
parallelogram is 100, what is the base of the larger parallelogram?
A А
125
В.
240
C.
300
D.
375

Answers

B sorry if I’m wrong

Solve for 2. Round to the nearest tenth, if necessary.
51
66
H
Answer: 2
Submit Answer
attempt 1 out of 2
PLS HELP

Answers

Answer:

x = 53.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 51 = 66/x

x tan 51 = 66

x = 66/ tan 51

x=53.44574

Rounding to the nearest tenth

x = 53.4

Help anyone can help me do this question,I will mark brainlest.​

Answers

Step-by-step explanation:

GIVEN =

d= 49cm

[tex]\pi = \frac{22}{7} [/tex]

To find = Circumference of a circle

SOLUTION =

CIRCUMFERENCE OF THE CIRCLE = πd

[tex] \frac{22}{7} \times 49[/tex]

= 22 × 7

154cm

the circumference of the given circle is 154cm

Answer:

Step-by-step explanation:

5) diameter = d = 49 cm

Circumference = πd

                         [tex]= \frac{22}{7}*49\\\\= 22 *7\\\\= 154 \ cm[/tex]

6) d = 20 mm

Circumference = π* 20

                         = 20π mm

What is mL in LMN? Round only your final answer to the nearest degree.

Answers

Answer:

∠ L ≈ 52°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosL = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{LM}{LN}[/tex] = [tex]\frac{8}{13}[/tex] , then

∡ L = [tex]cos^{-1}[/tex] ([tex]\frac{8}{13}[/tex] ) ≈ 52° ( to the nearest degree )

Find the measure of the indicated angle to the nearest degree

Answers

B=8H=16

We know

[tex]\boxed{\sf cos\theta=\dfrac{B}{H}}[/tex]

[tex]\\ \sf\longmapsto cos\theta=\dfrac{8}{16}[/tex]

[tex]\\ \sf\longmapsto cos\theta=\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto cos\theta=cos60[/tex]

[tex]\\ \sf\longmapsto \theta=60[/tex]

Find the value of k for which the following system of equations has infinite solution. 5x +2y=k,10x +4y=3​

Answers

Answer:

k=3/2 or 1 1/2

Step-by-step explanation:

Answer  3/2

Step-by-step explanation:

help please help......​

Answers

Answer:

[tex]{ \sf{( \sec \theta - \csc \theta)(1 + \tan \theta + \cot \theta) }} \\ = { \sf{( \sec \theta + \tan \theta \sec \theta + \cot \theta \sec \theta) - ( \csc \theta - \csc \theta \tan \theta - \csc \theta \cot \theta)}} \\ = { \sf{( \sec \theta + \sec \theta \tan \theta + \csc \theta) - ( \csc \theta - \sec \theta - \csc \theta \cot \theta)}} \\ = { \sf{ \sec \theta \tan \theta + \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}[/tex]

Suppose that d varies jointly with r and t, and d = 110 when r = 55 and t = 2. Find r when d = 40 and t = 3.

Answers

Answer:

r = 13.33

Step-by-step explanation:

d = k*r*t

Where,

k = constant of proportionality

d = 110 when r = 55 and t = 2

d = k*r*t

110 = k * 55 * 2

110 = 110k

k = 110/110

k = 1

Find r when d = 40 and t = 3

d = k*r*t

40 = 1 * r * 3

40 = 3r

r = 40/3

= 13.333333333333

Approximately,

r = 13.33


Rationalise the denominator

Answers

Answer:

sqrt(3) /3

Step-by-step explanation:

1 / sqrt(3)

Multiply the top and bottom by sqrt(3)

1/ sqrt(3) * sqrt(3)/ sqrt(3)

sqrt(3) /  sqrt(3)*sqrt(3)

sqrt(3) /3

Answer:

[tex] = { \sf{ \frac{1}{ \sqrt{3} } }} \\ \\ { \sf{ = \frac{1}{ \sqrt{3} } . \frac{ \sqrt{3} }{ \sqrt{3} } }} \\ \\ = { \sf{ \frac{ \sqrt{3} }{ {( \sqrt{3}) }^{2} } = \frac{ \sqrt{3} }{3} }} [/tex]

The water level of a river is 170feet. The river recedes 4 feet each year. Ingrid claims that the equation that represents this scenario is y=170x-4. Is her equation correct?

Answers

Answer:

Step-by-step explanation:

In the equation y = mx + b, which is the form Ingrid's equation is in, the m stands for the rate of change. If the water level is decreasing, the rate at which it is decreasing is what goes in for m. The "b" of that equation indicates the starting height of the water, which is 170. The equation should be:

y = -4x + 170, negative because the water is decreasing.

On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below. x 0 1 2 3 4 5 Total P(x) .07 .36 .27 .17 .10 .03 1.00

Answers

Answer:

1.96 ;

1.216

Step-by-step explanation:

Given the data :

x : __0 _ 1 _ 2 _ 3 _4 _5 Total

P(x) .07 .36 .27 .17 .10 .03 1.00

. The mean, also called the expected value is defined as ;

E(X) = Σx*p(x)

E(X) = (0*0.07) + (1*0.36) + (2*0.27) + (3*0.17) + (4*0.10) + (5*0.03) = 1.96

The standard deviation, ; √var(x)

Var(X) = Σx²*p(x) - E(X)²

Var(X) = [(0² * 0.07) + (1² * 0.36) + (2² * 0.27) + (3² * 0.17) + (4² * 0.10) + (5² * 0.03)] - 1.96²

Var(X) = 5.32 - 3.8416

Var(X) =14784

SD(X) = √1. 4784 = 1.216

Write an inequality and show on a number line all numbers:
less than 4 but greater than or equal to 0

Answers

Answer:

the inequality is 0<x<4

Step-by-step explanation:

(0,4)

Can someone help me with this please

Answers

Answer:

8

Step-by-step explanation:

The amount of blocks that make up each layer would be best represented as the Length, Width and height

A number multiplied by itself 3 times = 512

8 x 8 x 8 = 512

64 x 8 = 512

512 = 512

Therefore, 8 blocks make up each layer

Answer:

B

Step-by-step explanation:

You need a number that when multiplied by itself 3 times gives you 512. So the length and width of the bottom layer must be 8 by 8 which is 64.

The layers are 8 cm high, so that's the third number you multiply together.

Volume = 8*8*8 = 64

But the answer you want is 8*8 which is 64

Given |
m || n, find the value of x.

m
54°
2
Answer: 2 =
Submit Answer
attempt 1 out of 2
Pls help me I got it wrong one already

Answers

Answer:

x = 126

Step-by-step explanation:

The angles are complementary which means they sum to 180

x+54 =180

x = 180-54

x = 126

answer please it's urgent​

Answers

Answer:

HOPE IT HELP YOU . Plz tell me if it is write or wrong .

WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!!


Suppose you obtain a five-year lease for a Porsche and negotiate a selling price of $146,000. The annual interest rate is 8.4%, the residual value is $75,000, and you make a down payment of $3000. Find each of the following.

A.) The net capitalized cost.

B.) The money factor. (Rounded to four decimal places)

C.) The average monthly finance charge. (Rounded to the nearest cent).

D.) The average monthly depreciation. (Rounded to the nearest cent.)

E.) The monthly lease payment. (Rounded to the nearest cent.)

Answers

Answer:

Look down below

Step-by-step explanation:

A.)Net capitalized cost=146,000-3000= $143,000

Net capitalized cost = 143,000

B.)Money factor=8.4/100 over 24=0.084/24=0.0035

Money Factor= 0.0035

C.)Average monthly finance charge= (143,000+75,000)x 0.0035= 218,000 x 0.0035=$763

Average Monthly Finance Charge= $763

D.)Average monthly depreciation= 143,000-75000/5 x 12=68000/60=$1133.33

Average monthly deprecation= $1133.33

E.)monthly lease payment=1133.33/5= $226.66

Monthly lease payment= $226.66

what is 5cd when c = 3 and d = 4​

Answers

5cd c=3 d=4. 5(3)(4)= 60

[tex] \sf \: c = 3 \\ \sf \: d = 4 \\ \\ \sf \: 5cd \: = \: ?\\ \\ \sf \:5 cd \hookrightarrow \\ \sf = 5 \times (3) \times (4) \\ \sf = 5 \times 12 \\ = \underline{ \bf \: 60}[/tex]

-> Just substitute the values given for variables c & d in the equation 5cd & you'll get the answer.

Which expressions in the picture are equivalent to (v^-1)^1/9? Choose all answers that apply:

Answers

Answer:

All of them: A, B, and C

Step-by-step explanation:

Answer:

A, B, and C

Step-by-step explanation:

Recall the exponent property [tex](a^b)^c=a^{(b\cdot c)[/tex].

Therefore,

[tex](v^{-1})^{1/9}=(v^{1/9})^-1=v^{-1/9}[/tex]

In addition, fraction exponents can be written as radicals such that:

[tex]a^{b/c}=\sqrt[c]{a^b}[/tex]

Thus, [tex](\sqrt[9]{v})^{-1}=(v^{1/9})^{-1}=(v^{-1})^{1/9}[/tex].

Therefore, answer choices A, B, and C are correct.

Antonia and Aleena both bought a book that cost £3.50 each. How much change did they get from £10.00?
£6.50
£2.00
£3.00

Answers

Answer:

They got 3.00 back

Step-by-step explanation:

Since they both bought a book it means you have to double the price of one book.

3.50+3.50=7.00

Then since you are looking for the difference of 10.00 you would subtract it.

10.00-7.00=3.00

find the measure of the indicated angle to the nearest degree​

Answers

Answer:

? ≈ 28°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{19}{41}[/tex] , then

? = [tex]sin^{-1}[/tex] ([tex]\frac{19}{41}[/tex] ) ≈ 28° ( to the nearest degree )

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