Answer:
2
Step-by-step explanation:
i took the test
Charlotte works in a calling center making appointments for a local lawn care service. She earns $40 each full workday plus an additional $2 for each appointment that she schedules. Today, Charlotte needs to earn at least $75. Write an inequality to describe this situation. In two or more complete sentences, describe the solution set of this inequality and what it means for Charlotte.
x = number of appointments
y = total amount earned in dollars
The total earnings equation is y = 2x+40
The 2x is from her earning $2 per appointment. If she makes x of them, then she earns 2x dollars. This is on top of the $40 from working the full day.
She wants to earn at least $75. This means she wants to earn $75 or more.
This means,
[tex]y \ge 75\\\\2x+40 \ge 75\\\\2x \ge 75-40\\\\2x \ge 35\\\\x \ge \frac{35}{2}\\\\x \ge 17.5[/tex]
Since x is the number of appointments, and we can't have a fractional number of appointments, we must round up to x = 18. This is the lowest number of appointments she can do and earn $75 or larger.
If x = 17, then
y = 2x+40 = 2*17+40 = 34+40 = 74
which is not 75 or larger
But if x = 18, then
y = 2x+40 = 2*18+40 = 36+40 = 76
which is larger than 75, so we've cleared the hurdle.
We can say the solution set is [tex]x \ge 18[/tex] where x is a whole number. So she could book x = 18, x = 19, x = 20, x = 21, etc as the number of appointments to reach her goal.
In summary, she must schedule at least 18 appointments to earn $75 or more.
Since she makes $2 for every appointment she makes we would need to use 40+2n so she would get $2 per appointment no matter how many appointments she makes. Also, we wouldn't use an equal sign because they didn't say she needed to earn exactly $75. They said she needed to earn "at least" $75. At least means equal to or greater than ≥. So the inequality would be 2n+40≥75. PRO TIP: Any time it asks you to write an inequality you will use either <, >, ≤, or ≥ not an =.An equation uses =, an inequality uses the other symbols
2 points
Rheese bought a new car for $17.500. The value of the car is depreciating at a rate of 4.6%
each year. How much would the car be worth in 4 years?
$20,949.07
$79,515.07
$1,488.03
$14,495.44
$14,253.86
quation of the asymptote for the given
Doint
Given:
Initial value of new car = $17,500
Depreciation rate = 4.6%
To find:
The value of car after 4 years.
Solution:
The exponential decay model is
[tex]y=a(1-r)^t[/tex]
where, a is initial value, r is decreasing rate and t is time in years.
Substitute a=17500, r=0.046 and t=4 in the above equation.
[tex]y=17500(1-0.046)^4[/tex]
[tex]y=17500(0.954)^4[/tex]
[tex]y=17500(0.8283111)[/tex]
[tex]y=14495.44425[/tex]
[tex]y\approx 14495.44[/tex]
The value of car after 4 years is $14495.44.
Therefore, the correct option is D.
Roger owes his father $15. He borrows another $25 from him. What integer represents the balance that he owes his father?
The integer -40 represents the balance that he owes his father if Roger owes his father $15. He borrows another $25 from him.
What is an integer?it is defined as the whole number it can be a negative whole number or a positive whole number for example 2, 4, 1, -8, 0, etc.
It is given that:
Roger owes his father $15. He borrows another $25 from him.
As we know, the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
The amount Roger owes = $15
Roger borrows = $25
Total debt = -15 + (-25)
Total debt = -$40
The above integer represents the balance that he owes his father.
Thus, the integer -40 represents the balance that he owes his father if Roger owes his father $15. He borrows another $25 from him.
Learn more about the integer here:
https://brainly.com/question/15276410
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jacob’s graduation party costs $22.50 for decorations, plus an additional $5.50 for each attendee. At most, how many attendees can there be if Jacob budgets a total of $50 for his graduation party? Write an equation, solve, and justify your steps. Show your work.
Answer:
28.00 and yes he is still in his budget
Step-by-step explanation:
22.50
5.50
............
28.00
Answer:
Jacob can have up to 5 guests at his graduation party because 50 - 22.50 is 27.50 and 27.50/5.50 is 5.
Step-by-step explanation:
To start off you would subtract 22.50 from 50 leaving you with 27.50. From there you would account for the number of attendees. Since 27.50/5.50 equals 5 the maximum amount of guests Jacob can have at his graduation party is 5.
??help me please now
Answer:
x^2+10x+24
Step-by-step explanation:
(x+6)×(x+4)
=x^2+4x+6x+24
=x^2+10x+24 (ans)
Solve:
10 -0.75x < 7
Please and thank you
Answer:
The answer is x<4
But the girl over me just did it for points
Answer:
x<4
Step-by-step explanation:
A number increased by 5
Answer:
if number was represented by x it would be x+5
Step-by-step explanation:
Two one third plus six three fifths
the following two triangles are congruent. Select the correct statement for the correct corresponding part that must be congruent.
Answer:
You are correct.
Step-by-step explanation:
y and j are the vertexes. Given that M and S are the corresponding parts of the 2 triangles, I would say you picked the right answer. But the question is ambiguous and there might be some hidden meaning why this is wrong. The reason might not stand up in a court of law, but instructors do hold the gun at your head.
Curse at it and move on.
please help i will mark brainliest
Answer:(3,-5)
Step-by-step explanation:
Answer:
The answer will be
B. (3,-5)
A bird flies south. Its distance from its nest, as a function of time, is modeled by y=20x+1. Which statement best describes the function
Answer:the function is linear
Step-by-step explanation:
Answer:
it linear
Step-by-step explanation:
AP3X verified
Find the total area of the shaded region in the composite figure, round to the nearest tenth.
Answer:
all my answers are in the comments btw
Step-by-step explanation:
2. Write an algebraic
expression to represent
two less than a
Answer:
a-2
Step-by-step explanation:
Only 5 and 6. Please help me need it for now
Answer:
5)1075000000
6)333.333333333
Step-by-step explanation:
5)4.3*10^3=4300
2.5*10^5=250000
6)3*10^6=3000000
9*10^3=9000
Step-by-step explanation:
5.)
(4.3 × 10³) × (2.5 × 10⁵)
10.75 × 10⁸
PLEASE HELP!!!!!!!!!
Answer:
C. Graph C :)
Step-by-step explanation:
Please help will mark brainliest if correct
Answer:
Step-by-step explanation:
The triangles can not be proven congruent.
We have AAA theorem ⇒ given triangles are similar for sure.
Find The Slope Of The Relationship
Answer:
[tex]m=4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (10, 40)
Point (15, 60)
Step 2: Find slope m
Substitute: [tex]m=\frac{60-40}{15-10}[/tex]Subtract: [tex]m=\frac{20}{5}[/tex]Divide: [tex]m=4[/tex]Is 13/12 greater then 6/5?
Answer:
yes
Step-by-step explanation:
how do I work out this problem
sofia opens a new savings account with a 2.25% simple interest rate. She deposited $3500 and earned $3696.88 total by the time she checked the account again. How long was the money left untouched in the savings account?
Help ? On this question and show me your working out so I know
Answer:
27.5 hr
Step-by-step explanation:
220÷8=27.5
How to calculate the H-Method of
f(x)= -2,5x² x0=4 ?
I really have no clue
Answer:
Yotmpocoa ngo ni ideate
Step-by-step explanation:
Pick an Dessert for every single day?
Answer:
I don't know what to pick! both look sooooo yummy =P. If i had to chosse i would pick the second one.
Step-by-step explanation:
Which answer choice shows 38.412 rounded to the nearest half?
A. 38
B. 38.5
C. 39
D. 39.5
Answer:
A
Step-by-step explanation:
when u see all the numbers after the point they all are not equal to or > 5 so we don't add any number.
1/3 of a number is 4 less than 1/2 of the number, the number is
Answer:
12
Step-by-step explanation:
1/2x=3/4x−3⇒2x=3x−12⇒x=12
6x + -2 =16 solve for x
Answer:
3
Step-by-step explanation:
+2 =18
18/6 =3
Answer:
x=3
Step-by-step explanation:
Move all terms that don't contain
x
to the right side and solve.
Find three different integer solutions to the equation -3x-y=-1
Answer:
The integers are -3, x, and -y
Step-by-step explanation:
What is the binary number for 20
10100 hope it helped!
A soccer team won 11 games last year. This year they won 13 games. What was the percent increase in the number of games they won?
Answer:
About 18% increase
Step-by-step explanation:
The parabola LaTeX: f\left(x\right)=x^2f ( x ) = x 2 was translated up by 4 units.
What is the function rule for the new transformed parabola LaTeX: g\left(x\right)g ( x )?
Group of answer choices
LaTeX: g\left(x\right)=4x^2 g ( x ) = 4 x 2
LaTeX: g\left(x\right)=\left(x+4\right)^2 g ( x ) = ( x + 4 ) 2
LaTeX: g\left(x\right)=x^2+4 g ( x ) = x 2 + 4
LaTeX: g\left(x\right)=\left(x-4\right)^2 g ( x ) = ( x − 4 ) 2
Answer:
C. g(x) = x²+4
Step-by-step explanation:
Given the parabola function f(x) = x²
Translating the function up by 4 means adding the constant value of +4 to the function since it's translated along the positive y axis. The resulting function g(x) will be x²+4
Hence the correct answer is g(x) = x²+4. Option C is correct.
What is the value of this expression? Select all that apply (8.59 x 10^4) - (3.2 x 10^3)
Answer:
A. 8.27*10^4
D. 82,700
Step-by-step explanation: