Carlie runs two different business. She needs to pay $100 for materials, and pay her associates $12 per hour for her childcare business. And for her lawn care business, she has to pay $275 for materials, and pays her associates $10 per hour.
Write two functions, C(x) and L(x), to represent the amount of money she will need to run her childcare business and her lawn care business. Complete the equations by filling in the blanks.
Childcare business: C(x) =
Lawn care business: L(x) =
Answers
Answer: (Answer in photo, explanation below)
Step-by-step explanation:
Carlie is running two different business.
She needs to pay:
- For the childcare business,
100$ for the materials
12$ per hour for each associate for her childcare business, so if we call:
= the number of hours worked by each associate
= the number of associates
The total cost for the childcare business is:
(1)
- For the lawn care business,
275$ for the materials
10$ per hour for each associate for her lawn care business, so if we call:
= the number of hours worked by each associate
= the number of associates
The total cost for the lawn care business is:
(2)
Therefore, the total expenses from both businesses is the sum of (1) and (2):
Related Questions
Lin runs 5 laps around a track in 6 minutes
how many minutes per lap is that? _ minutes
if Lynn runs 21 laps at the same rate, how long does it take her? _ minutes
how many laps per minute is that _laps
Answers
2) 25.2
Explanation :
Part 1
Lina runs 5 laps in 6 mins so we have to find out how many mins she runs per lap. To find that divide 6 by 5 and you’ll get 1.2.
Part 2
Multiply 21 by 1.2 and you’ll get 25.2.
Item 4
How do these U.S. customary units of liquid volume compare?
Drag and drop the volume measures so they are in order from smallest to largest.
Pint
Cup
Quart
Answers
Which statement about odd numbers is true?
A. If x is odd then x2 is even.
B. If x is odd then 2x is even.
C. If x is odd then x3 is even.
D. If x is odd then 3x is even.
Answers
The table shows the total profits earned from magazine sales.
select a function that models this situation.
O A.) y = 24x
O B.) y = 10x + 28
O C.) y = 14x + 20
O D.) y = 15x + 10
Answers
Find the derivative of f(x) =( -7/x) at x = -3.
pls help !!
Answers
Answer:
[tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCalculus
Derivatives
Derivative Notation
Derivative of a constant is a 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle f(x) = \frac{-7}{x}[/tex]
[tex]\displaystyle x = -3[/tex]
Step 2: Differentiate
Quotient Rule: [tex]\displaystyle f'(x) = \frac{\frac{d}{dx}[7]x - \frac{d}{dx}[x](-7)}{x^2}[/tex]Basic Power Rule: [tex]\displaystyle f'(x) = \frac{(0)x - x^{1 - 1}(-7)}{x^2}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{(0)x - x^0(-7)}{x^2}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{(0)x - 1(-7)}{x^2}[/tex]Multiply: [tex]\displaystyle f'(x) = \frac{0 + 7}{x^2}[/tex]Add: [tex]\displaystyle f'(x) = \frac{7}{x^2}[/tex]Step 3: Solve
Substitute in x [Derivative]: [tex]\displaystyle f'(-3) = \frac{7}{(-3)^2}[/tex]Evaluate exponents: [tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
will be giving brainliest to the correct one, no links or account will be reported:)
Answers
Answer:
Step-by-step explanation:
39.53 + 90 + x = 180
129.53 + x =180
x = 180 - 129.53
x = 50.47
The area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for π
Answers
Answer: √ 4A /π or 13.996450848446
Step-by-step explanation:
D = 2R
C = 2πR
A = πR2
where:
R: Radius
D: Diameter
C: Circumference
A: Area
π: 3.14159
The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD? (4 points) negative 1 over 2 −2 2 1 over 2
Answers
Answer:
answer 1/2
Step-by-step explanation:
y-3=-2(x-4)
y-3=-2x+8
y=-2x+11
y=mx+c
m= slope which is -2
because it perpendicular It became 1/2
I do not understand this assignment at all..I've been stuck on it for a long time and it's due very soon.
could someone please solve or explain these ,, u don't have to do both of them | I just need an explanation so I can solve the other 7
Answers
[tex]\text{State Income Tax Rate: }6.65\%, \\\text{Deduction: }\$7,702.03[/tex]
Answer:
State income tax: [tex]6.65\%[/tex]
Step-by-step explanation:
Based on the interface, it seems like you have chosen lawyer as a career with the given salary of $115,820.
The chart given for state income tax is broken into two categories:
$21,400-$80,650 => 6.45%
$80,651-$215,400 => 6.65%
Since the chosen career's salary is $115,820, the career falls into the second range of 6.65% state income tax.
The deduction is simply the amount of money taxed. For a 6.65% state income tax, the deduction can be found from:
[tex]115,820\cdot 0.0665=\boxed{\$7,702.03}[/tex]
Rita buys 8 bottles of water. Each bottle contains 1.8 L of water.
Rita says she bought a total of 14.4 L of water.
Use estimation to show that her answer is reasonable.
Drag the numbers into the boxes to complete the number sentence.
_____x______= L
1 2 8 15 16 20 120 160
Answers
Answer:
Equation: 2 x 8 = 16
Step-by-step explanation:
1.8 ≈ 2
8 ≈ 8
2 x 8 = L
L = 16
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A certain television is advertised as a 38-inch TV (the diagonal length). If the height
of the TV is 25 inches, how wide is the TV? Round to the nearest tenth of an inch.
Answers
Answer: 28.6
Step-by-step explanation:
From a sample tray, 4 of the last 10 cake samples chosen were strawberry. Based on past data, of the next 20 samples taken, how many should you expect to be pieces of strawberry cake?
Answers
Answer: 8
Step-by-step explanation:
There are 8 pieces of strawberry cake should you expect for 20 samples.
What is mean by Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
From a sample tray, 4 of the last 10 cake samples chosen were strawberry.
Hence, Let pieces of strawberry cake should you expect for 20 samples is, = x
Thus, By definition of proportion, we get;
⇒ 4/10 = x/20
⇒ 4 × 20 / 10 = x
⇒ x = 8
Thus, There are 8 pieces of strawberry cake should you expect for 20 samples.
Learn more about the proportion visit:
https://brainly.com/question/1496357
#SPJ2
Can some one help me with this question its hard :( down below ill give brainliest and plz explain
Answers
Answer:
1 is the answer
Step-by-step explanation:
10^0 on the calculator is 1
someone help me please
Answers
Answer:
18
Step-by-step explanation:
cos 49=x/27
27 cos 49= x
x = 17.7
approximately 18
Let's evaluate 3x + 4 when x=5
First, I need to substitute 5 in for x
3( ) + 4
Put the steps for Evaluating an Expression in order: Evaluate x-3 when x=9?
Can you evaluate 3a + 4b when a=6 and b=5?
Substitute your values for a and b
3( ) + 4( )
Evaluate the following expression when a= 3 and b = 6
6a+3b
Answers
Step 1) substitute x = 5 into the equation
3x +4
3(5) + 4 gives you 3 times 5 + 4
The answer is 15 + 4 which is 19
Now substitute a and b into the equation 3(a) + 4(b) when the a = 6 and b = 5
Hereby 3(6) + 4(5)
3 * 6 = 18 and 4* 5 = 20
18 + 20 = 38
The answer is 38
Now finally
Substitute a and b Into the equation
3(3) + 4(6)
9+ 24 = 33
Mystique's favorite part of a pizza is the crust. Which measurement is the BEST for determining how much crust is on a pizza?
A) The circumference
B) The area
Answers
In a competative exam of 40 questions plus three months is awarded for a correct answer and minus one for every correct answer to find the total score for student had 11 wrong answers in his attempt of all questions.
Answers
Answer:
76
Step-by-step explanation:
n a competitive exam of 40 questions, +3 is awarded for a correct answer and -1 for every wrong answer. Find the total score if a student had 11 wrong answers in his attempt of all questions.
Answers gotten wrong = 11
answers gotten right = 40 - 11 = 29
total score = (point for correct answer x number of correct answer) + (point for wrong answer x number of wrong answer)
(+3 x 29) + (-1 x 11) = 76
solve: 7-z what is the answer to this question.................... . . . .. . . . .. .
Answers
Answer:
7 - z = 0
- z + 7 = 0
- z = - 7
z = 7
Thus, The answer is 7
-TheUnknownScientist
The vertex angle of an isosceles triangle is three times the measure of either base angle. Find the area if the measure of the congruent sides are 14 in
Answers
Answer:
[tex]Area = 93.21in^2[/tex]
Step-by-step explanation:
Given
[tex]\theta \to[/tex] vertex angle
[tex]\alpha \to[/tex] base angle
[tex]\theta = 3\alpha[/tex]
[tex]l = 14in[/tex] -- congruent sides
Required
The area of the triangle
First, calculate the angles
[tex]\theta + \alpha + \alpha = 180^o[/tex] ----- angles in an isosceles triangle
Substitute [tex]\theta = 3\alpha[/tex]
[tex]3\alpha + \alpha + \alpha = 180^o[/tex]
[tex]5\alpha = 180^o[/tex]
Divide both sides by 5
[tex]\alpha = 36^o[/tex]
Recall that: [tex]\theta = 3\alpha[/tex]
[tex]\theta = 3 * 36^o[/tex]
[tex]\theta = 108^o[/tex]
The area is then calculated as:
[tex]Area = \frac{1}{2}l^2 \sin(\theta)[/tex]
[tex]Area = \frac{1}{2}*14^2 \sin(108^o)[/tex]
[tex]Area = \frac{1}{2}*196 *0.9511[/tex]
[tex]Area = 93.21in^2[/tex]
write an email about a game you played recently
Answers
football waz good and ther was funi monke that go "haha funi monke go stinky poopoo hahahahahhaha".
The equation of the axis for the following graph is?
Answers
Step-by-step explanation:
The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .
BRAINLIEST!!!!!!!!!!!!!!!!!!! I need the answer by now PLZ
Answers
Answer:
length times width times height is=volume
Step-by-step explanation:
8*7*6=336
the volume is 336
A jar is full of gumballs and Hershey’s kisses. 2/3 of the jar is gumballs. 3/5 of these gumballs are red. What fraction of the whole jar are the red gumballs?
Answers
Answer:
[tex]\frac{2}{5}[/tex] of the jar contains red gumballs
Step-by-step explanation:
Hi there!
What we know:
[tex]\frac{2}{3}[/tex] of the jar is gumballs[tex]\frac{3}{5}[/tex] of the gumballs are redTo find the fraction of red gumballs in the whole jar, multiply the fractions:
Red gumball fraction × Total gumball fraction
[tex]= \frac{3}{5}*\frac{2}{3}\\= \frac{2}{5}[/tex]
Therefore, red gumballs contain [tex]\frac{2}{5}[/tex] of the whole jar.
I hope this helps!
A piece of wire bent to form a square of area 121cm2 . Calculate
(a) The length of each side of the square
Answers
Square root of 121 is 11
So
A= L x W
A = 11 x 11
A = 121 cam 2
In the accompanying diagram of AABC, a right angle is at C,
AB = 8, and AC = 4. Find BC.
Answers
Answer:
64
Step-by-step explanation:
Dababy approved.
Yuhh I need help pleasee
Answers
Answer: [tex]-15,\ 3[/tex]
Step-by-step explanation:
Given
The table is given for values of x
From the table, If [tex]x=0[/tex] it corresponds to -15 i.e.
When we replace x by 0 in [tex]f(x)[/tex], we obtain [tex]f(0)=-15[/tex]
Similarly, for [tex]f(x)=27[/tex] corresponds to [tex]x=3[/tex]
Jasmine, Georgia, and Olivia are in boats on a lake. Their relative locations are shown in the diagram.
What is the distance from Georgia's boat to Olivia's boat?
Enter your answer in the box. Round your final answer to the nearest whole number.
ft
Answers
Answer:
52ft
Step-by-step explanation:
Help me
3.9x0.5+4 5/6 / 3 3/7
Answers
1.95 + 4 5/6 ÷ 3 3/7 multiplication left ot right
1.95 + 29/6 ÷ 24/7 convert to improper fraction
1.95 + 29/6 · 7/24 divide by fraction same as multiplication by reciprocal
1.95 + 203/144 multiply
1.95 + 1.40 (and a teensy bit more)
3.35
Drag each situation to show whether it can be modeled using a linear or an exponential function. If the situation cannot be modeled with either function type, drag it into the container labeled Neither.
Answers
Answer: the savings account one is linear, the enrollment of students is linear, the investment is exponential as well as the cars value, the speed of the truck is neither (not fully sure) and the temperature outside is linear
Step-by-step explanation: linear means in a straight line without curves meaning if the question mentions percentages it’s automatically not linear as percentages tend to curve. Exponential means it curves which has direct connections to percentages and getting multiplied by
Hope this helps you
Whats the value of b?
Answers
Answer:
b = 5
Step-by-step explanation:
This triangle is a 30 - 60 - 90 special right triangle
As you can see in the image provided below the longer leg is equal to the short leg times √3
This means that the short leg is equal to the long leg divided by √3
Thus, b = [tex]\frac{5\sqrt{3} }{\sqrt{3} }[/tex] which is equivalent to 5