Answer:
35.7%
Step-by-step explanation:
Sales increase in Year 1
Let the original sales be xSales has increased by 15%Therefore, new sales will be :Original sales + Original sales x 15%⇒ x (1 + 15%)⇒ x (1 + 0.15)⇒ x (1.15)⇒ 1.15xSales increase in Year 2
From Year 1, it has increased by 18%New sales will be :Year 1 sales + Year 1 sales x 18%⇒ 1.15x (1 + 18%)⇒ 1.15x (1 + 0.18)⇒ 1.15x (1.18)⇒ 1.357xOverall Increase
Year 2 sales - Original sales / Original sales1.357x - x / x0.357x / x0.357Decimal to % ⇒ x 100%0.357 x 100%35.7%Let the sales be known as "a".
Given statement:
One year, sales increased by 15%.
This can be written as:Year 1 = a + (a × 15%)Step-1: Evaluate the percentage⇒ Year 1 = a + (a × 15%)⇒ Year 1 = a + (a × 15/100)Step-2: Multiply the terms inside the parentheses⇒ Year 1 = a + (a × 15/100)⇒ Year 1 = a + (15a/100)Step-3: Open the parentheses⇒ Year 1 = a + (15a/100)⇒ Year 1 = 100a/100 + 15a/100Step-4: Add the like terms;⇒ Year 1 = 100a/100 + 15a/100⇒ Year 1 = 115a/100Next year (Year 2):Given statement:
The following year sales increased by 18%.
This can be written as:Year 2 = Year 1 + (Year 1 × 18%) Step-1: Substitute the amount of sales in year 1:⇒ Year 2 = Year 1 + (Year 1 × 18%) ⇒ Year 2 = 115a/100 + (115a/100 × 18/100)Step-2: Simplify the fractions in the parentheses:⇒ Year 2 = 115a/100 + (115a/100 × 18/100)⇒ Year 2 = 115a/100 + (23a/20 × 9/50)Step-3: Multiply the fractions in the parentheses:⇒ Year 2 = 115a/100 + (23a/20 × 9/50)⇒ Year 2 = 1150a/1000 + (207a/1000)Step-4: Open the parenthesis:⇒ Year 2 = 1150a/1000 + (207a/1000)⇒ Year 2 = 1150a/1000 + 207a/1000Step-5: Add the fractions:⇒ Year 2 = 1150a/1000 + 207a/1000⇒ Year 2 = 1357a/1000Overall percentage increase:Formula:
Overal percentage increase = (Sales in year 2 - Original sales) × 100
Step-1: Substitute the values in the equation:⇒ Overal percentage increase = (Sales in year 2 - Original sales) × 100⇒ Overal percentage increase = (1357a/1000 - a) × 100Step-2: Simplify the expression in the parentheses:⇒ Overal increase = (1357a/1000 - a) × 100⇒ Overal increase = (1357a/1000 - 1000a/1000) × 100⇒ Overal increase = (357a/1000) × 100Step-3: Open the parentheses and simplify:⇒ Overal increase = (357a/1000) × 100⇒ Overal increase = 357a/10 ⇒ Overal increase = 35.7aStep-4: Determine the overal increase in percentage:⇒ Overal increase = 35.7a⇒ Overal percentage increase = 35.7%Therefore, the overal increase in percent is 35.7%.
An electrician charges a flat fee for each job plus an hourly rate . He charged one customer $90 for a job that took him 3 hours . He charged another customer $150 for a job that took him 8 hours . Which equation models the relationship?.
Answer:
let x equal the service charge.
let y equal the per hour charge.
for the job that cost 450, the equation is 450 = x + 6y
for the job that cost 330, the equation is 330 = x + 4y
these two equations needs to be solved simultaneously.
subtract the second equation from the firs to get 120 = 2y
solve for y to get y = 60.
in the first equation, replace y with 60 to get 450 = x + 6*60.
simplify to get 450 = x + 360.
subtract 360 from both sides of the equation to get 90 = x.
it appears that the service charge is equal to 90 and the per hour charge is equal to 60.
for the job that cost 450, the equation becomes 450 = 90 + 6*60 = 90 + 360 = 450.
for the job that cost 330, the equation becomes 330 = 90 + 4*60 = 90 + 240 = 330.
the numbers check out.
the service charge is 90.
the per hour charge is 60.
i believe your solution is that the electrician charges a flat fee of 90 plus an hourly fee of 60 for a service call.
Step-by-step explanation:
You roll a fair 66-sided die.
What is text P ( roll less than 4)
Answer:
1/22
Step-by-step explanation:
Answer:
P(<4)
Step-by-step explanation:
P(<4) means "What is the probability that the die shows a number less than 4?" Since each side has a probability of 1/6 of showing, we can simply sum these 3 probabilities.
Becky says that when she simplifies the following expression, the value is 6 less than her age. What is Becky's age? (7+11) - 8÷2
20
14
26
11
The elements of a function of x are (-6, -7) (-2, -3) and (2, 3) What is the domain of the function?
A: {-7, -3, 3}
B: {-6,-2, 2}
C: {10}
D: {-7, -6, -2}
Answer:
B: {-6, -2, 2}
Step-by-step explanation:
Domain = input values (x-values)
Given elements: (-6, -7) (-2, -3) (2, 3)
The x-values of the given elements are: -6, -2 and 2
Therefore, the domain is {-6, -2, 2}
To determine the successful applicant for a job, the interviewer assigns a problem to each of the 7 applicants.
If the problems are assigned at random to each applicant, how many different ways can they be assigned?
Answer:
5040
Step-by-step explanation:
type 7! in calc.
Answer:
5040
Step-by-step explanation:
Just take the factorial of 7.
I appologize if I am mistaken.
factor the polynomials of 6x^2-7x-20
Amanda and Molly are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Amanda sold 3 rolls of plain wrapping paper and 3 rolls of shiny wrapping paper for a total of $60. Molly sold 1 roll of plain wrapping paper and 9 rolls of shiny wrapping paper for a total of $132. What is the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper? (no links please)
Answer:
Step-by-step explanation:
Solving system of symultaneous equation:
Let the cost of one roll of plain wrapping pair = x
Let the cost of one shiny wrapping paper = y
Amanda:
Cost of 3 rolls of plain paper + cost of 3 rolls of shiny paper = $ 60
3*x + 3*y = 60
3x + 3y = 60 ------------------(I)
Molly:
Cost of 1 roll of plain paper + cost of 9 rolls of shiny paper = $ 132
x + 9y = 132 ---------------------(II)
x = 132 - 9y ---------------(III)
Substitute x = 132 -9y in equation (I)
3*(132-9y) + 3y = 60
3*132 - 3*9y + 3y = 60
396 - 27y + 3y = 60
Combine like terms
396 - 24y = 60
Subtract 396 from both sides
-24y = 60 - 396
-24y = -336
Divide both sides by (-24)
y = -336/(-24)
[tex]\sf \boxed{y=14}[/tex]
Now, substitue y = 14 in equation (III)
x = 132 - 9*14
= 132 - 126
[tex]\sf \boxed{x = 6}[/tex]
cost of one roll of plain wrapping paper = $ 6
Cost of one roll of shiny wrapping paper = $ 14
what is the answer to 1/3 + 3/4 + 2/5 =
solve for x
42=x-2(x+4)
Answer:
-50
Step-by-step explanation:
42+=x-2x-8
42=-x-8
(add 8 to both sides)
50=-x
(divide by negative 1)
-50=x
At school there is a ratio of 3 girls for every 2 boys. If there are 100 students in the school, how many are girls
Answer:
60 girls
Step-by-step explanation:
There is a bag filled with 3 blue, 4 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting 2 the same colour?
Answer:
[tex] \frac{25}{72} [/tex]
Step-by-step explanation:
[tex]( { \frac{3}{12}) }^{2} + { (\frac{4}{12}) }^{2} + { (\frac{5}{12}) }^{2} = \frac{50}{144} = \frac{25}{72} [/tex]
1a. What formula would you use to find
the area of the rectangle below?
2 units
3 units
Answer:
Area = Width * Length
Step-by-step explanation:
This is the formula for a rectangle. If you plug in the values that were givin to you, the answer is 6 units^2.
i need help math asap
A science teacher recorded the pulse of each of the students in her classes after the students had
climbed a set of stairs. She displayed the results, by class, using the box plots shown.
Which class generally had the highest pulse after climbing the stairs?
The class which generally had the highest pulse of students recorded by the science teacher after climbing the stairs is class 3.
What is box plot representation of data?
Box plot is the way of representation of data which gives the graphical image of the data set to understand better.
The minimum and the maximum values in the box plot is plotted at the end points.
A science teacher recorded the pulse of each of the students in her classes after the students had climbed a set of stairs. She displayed the results, by class, using the box plots shown.
In this box plot, the class 3 has the highest value compare to all the box plot.
Thus, the class which generally had the highest pulse of students recorded by the science teacher after climbing the stairs is class 3.
Learn more about the box plot here;
https://brainly.com/question/14277132
#SPJ1
Which expressions are equivalent to
6
+
12
x
?
7
(
1
+
2
x
)
−
2
x
−
1
Let's see the other options :
7(1+2x)
Use the distributive property :
7+14x
Is 7+14x equivalent to 6+12x? No.
The expression equivalent to 6+12x is :
6(1+2x) ← divide 6+12x by 6 and put it outside the parentheses
hope helpful ~
explain how to do this
i forgot how to do it
Answer:
how i do it:
break the entire figure up into simple shapes ( there should be 4 separate figures once you do this )
find the missing / needed side lengths using the information already provided
multiply to get the area of each figure
add them all up
What is the surface area of the following cylinder in square centimeters? 471 cm 2 31.4 cm 2 47.1 cm 2 54.95 cm 2
Answer:
54.95
Step-by-step explanation:just did the question and got it right.
Hope this helps!
With decimal is equivalent to 76/9
Answer:
8.4
Step-by-step explanation:
76 ÷ 9 = 8.44444444
= 8.4 (rounded)
hope this helps!
Please help!!!
In the figure below, which is not drawn to scale, find x
A. 7.1
B. 14.2
C. 15
D. 7.5
Answer:
The answer is C. x=15
Step-by-step explanation:
PQ+PR+RQ=360°
(8x-10)°+(6x)°+(10x+10)°=360°
(8x+6x+10x)+(-10+10)=360°
24x+0=360°
[tex]x=\frac{360}{24}[/tex]
x=15
Find the degree measure of each arc
Answer:
Step-by-step explanation:
What is the solution to the equation 9r=4/7
Answer:
r=4/63
Step-by-step explanation:
Divide each term in 9r=47 by 9 and simplify.
Answer:
[tex]r=\frac{4}{63}[/tex]
Step-by-step explanation:
1) Divide both sides by the same factor
[tex]9r=\frac{4}{7}[/tex]
[tex]\frac{9r}{9} =\frac{\frac{4}{7} }{9}[/tex]
2) Simplify
Cancel terms that are in both the numerator and denominator[tex]\frac{9r}{9} =\frac{\frac{4}{7} }{9}[/tex]
[tex]r=\frac{\frac{4}{7} }{9}[/tex]
Divide the numbers[tex]r=\frac{\frac{4}{7} }{9}[/tex]
[tex]r=\frac{4}{63}[/tex]
PLEASE HELP!!!!
What is the area of the picture below?
Answer:
A=130
Step-by-step explanation:
need the answer
Find (3x+7)2 .
Answer:
9x² + 42x + 49
Step-by-step explanation:
Identity
(x + a)² = x² + 2ax + a²In this case, x = 3x and a = 7, so substitute the values.
(3x + 7)²(3x)² + 2(3x)(7) + (7)²9x² + 42x + 49Answer:
[tex]9x^2 + 42x + 49[/tex]
Step-by-step explanation:
Step 1: Factor out the expression
[tex](3x + 7)^2[/tex]
[tex](3x + 7)(3x + 7)[/tex]
[tex](3x * 3x) + (3x * 7) + (7 * 3x) + (7 * 7)[/tex]
[tex]9x^2 + 21x + 21x + 49[/tex]
[tex]9x^2 + 42x + 49[/tex]
Answer: [tex]9x^2 + 42x + 49[/tex]
Escribe una ecuación que represente la tabla.
por favor respondan ^^
Please tell me the answer
1*2*3*4*5*6*7*8*9*0=
Answer:
1*2*3*4*5*6*7*8*9*0=0
For anything times zero is zero
Step-by-step explanation:
Answer:
Step-by-step explanation:
this is zero, because the last number you multiply by is zero... but.. to be fair, it probably should have been a 10, as in 10 factorial or 10! if it was 10! , it would be 3,628,800.
[tex]( x + 1)(x - 1)[/tex]
what's the answer!!!!
[tex]\boxed{x^2-1}[/tex] is the ans
Calculations ↓First, multiply x times x :
x²
Now multiply x times (-1) :
-1x or -x
Right now we have
x²-x
Now multiply 1 times x :
x
x²-x+x
Now multiply -1 times 1 :
-1
x^2+x-x-1
the x's cancel :
x^2-1
So the simplified expression is :[tex]\blue{\boxed{\pmb{x^2-1}}[/tex]
[tex]\small\text{hope\:helpful~}[/tex]
the answer is 1575 but I need to show my work! (find the total volume)
I WILL GIVE BRAINLIEST!!!!!
Answer: 1575
Step-by-step explanation:
Volume of Pyramid: b*l*h/2 = 21*9*7/3 = 441
Volume of Rectangular prism = V= lwh = (21*12*9)/2 = 1134 (divide by two because it is half of a rectangular prism)
441 + 1134 = 1575
In order to either condense or expand logarithms using their properties, what must be?
Group of answer choices
the need the same exponent
they need the same answer
the need to have the same base
Answer:
Answer C
Step-by-step explanation:
The rules of logarithmic functions require the two log functions to have the same base. If they do not have the same base, you cannot apply any of the rules.
Answer:
Last option
Step-by-step explanation:
They need same base inorder to apply any property
Like
log_a(bc)=log_a^b+log_a^clog_a(b/c)=log_a^b-log_a^cWhich expression is equivalent to rootindex 4 startroot 144 a superscript 12 baseline b cubed endroot? assume a greater-than-or-equal-to 0 and b greater-than-or-equal-to 0.
An expression has numbers, variables, and mathematical operations. The expression that is equivalent to (144a¹²b³)⁰°⁷⁵ is 2a³(9b³)⁰°⁷⁵.
What is an expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression that is equivalent to [tex]\sqrt[4]{144a^{12}b^3}[/tex], this can be done in the following manner,
[tex]\sqrt[4]{144a^{12}b^3}\\\\= \sqrt[4]{2^4 \times 3^2 \times a^{12} \times b^3}\\\\= (2^4 \times 3^2 \times a^{12} \times b^3)^{\frac14}\\\\= 2^{(\frac14 \times 4)} \times 3^{(\frac14 \times 2)} \times a^{(\frac14 \times 12)} \times b^{(\frac14 \times 3)}\\\\= 2 \times 3^{(\frac12)} \times a^{3} \times b^{(\frac34)}\\\\[/tex]
[tex]= 2\times a^{3} \times 3^{(\frac12 \times \frac22)} \times b^{(\frac34)}\\\\= 2\times a^{3} \times 3^{(\frac24)} \times b^{(\frac34)}\\\\= 2\times a^{3} \times 9^{(\frac14)} \times b^{3(\frac14)}\\\\= 2\times a^{3} \times (9b^{3(\frac14)})\\\\=2a^3 \sqrt[4]{9b^3}[/tex]
Thus, The expression that is equivalent to (144a¹²b³)⁰°⁷⁵ is 2a³(9b³)⁰°⁷⁵.
Learn more about Expression:
https://brainly.com/question/13947055
Answer:
its a
Step-by-step explanation:
on edge 2022
Please help me with this Q.:)
Answer:
The first one
Step-by-step explanation:
<X = <Z
because they are corresponding angels