The sales of phones and accessories should be 6 and 12 each, correspondingly.
Explain the term commission?A simple definition of commission accounting is an income or expense incurred by the business throughout the course of a transaction. Usually, commission-based real estate companies or other sales organizations employ this style of bookkeeping.The data stated in question-
For each phone he sells, Jace receives a $11 commission, and for each accessory, he receives a $3 commission. Jace sold twice quite so many components as phones on any given day, generating a commission of $102 from both types of transactions.Let 'P' be the number of the phones sold.
Then, the accessory sold be '2P'.
The equation will form for the total cost will be;
11P + 3(2P) = 102
11P + 6P = 102
17P = 102
P = 102 / 17 =
P = 6 (number of sold phones)
Accessories sold = 2P = 2 x 6 = 12
Thus, the sales of phones and accessories should be 6 and 12 each, correspondingly.
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I saw a shirt for $97, I borrowed $50 from dad and $50 from mom. I bought the shirt for $97 with $3 change in hand $100-$97 = $3. Now I gave $1 to dad and $1 to mom and kept $1 to myself. Now I owe my dad $49 my mom $49, and I have $1($49+$49+$1 = $99). But where did $1 go, as I had $100, to begin with?
$1 is still with you in your pocket.
From the Question:
cost of Shirt=$97
$49 my mom $49 = $50
Amount borrowed from Mum = $50
Total Amount borrowed from dad and mum:
$50 + $50 = $100
change in hand:
Total t Amount borrowed from dad and mum - the cost of the Shirt
$100-$97 = $3.
Recall:
I gave $1 to dad and $1 to mom and kept $1 for myself
Money owed my dad = Amount borrowed from Dad - Amout given to Dad
=$50 - $1
= $49
Money owed my Mum =Amount borrowed from Mum -Amount given to Mum
=$50 - $1
= $49
change in hand will be = Amount borrowed from dad and mum - (cost of Shirt +Amout given to Dad +Amount given to Mum)
change in hand will be = $100 -( $97+ $1 + $1 )
= $1
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Solve for z.
z + 1 is greater than it equal to 29
The solution of the inequality z + 1 ≥ 29 for z , is z ≥ 28 .
Inequality can be defined as a relationship between two expressions or values that are not equal to each other.
For Example : x > 3.
In the question ,
it is given that
the inequality is " z + 1 is greater than it equal to 29 ",
we have to solve this inequality for z ,
So inequality can be rewritten as
z + 1 ≥ 29
Subtracting 1 from both sides of the inequality , we get
z + 1 -1 ≥ 29 - 1
z ≥ 29 - 1
z ≥ 28 .
Therefore , The solution for z + 1 ≥ 29 , is z ≥ 28 .
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A $500 investment in a 12-month CD with an interest rate of 4.89% compounded monthly, earns $25.01 interest in
one year. What effective rate of interest does this investment earn?
Answer:
Step-by-step explanation:
Effective interest rate, r = [tex](1+\frac{i}{n} )^{n}-1[/tex]
Here,
r = effective annual rate
i = nominal rate
n = number of periods
r = [tex](1+\frac{0.0489}{12} )^{12}-1[/tex]
= 0.05001099558
= 5.001099558 %
i need help with this
The total 12 people answered the survey in total when in a survey, 7 people said that their favorite card game was patience.
Given that,
In a survey, 7 people said that their favorite card game was patience.
We have to find how may people answered the survey in total.
What is pie chart?Pie charts can be used to show percentages of a whole group and show percentages at a particular moment. In contrast to bar graphs and line graphs, pie charts do not show changes over time. The pages that follow provide a description of a pie chart's many elements.
We divide the patience by 7
210/7
30
So, For each person in patience we have 30°.
The total is
60°+30°+60°+210°
2+1+2+7
12
Therefore, The total 12 people answered the survey in total when in a survey, 7 people said that their favorite card game was patience.
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Relative maxima and relative minima of the function f(x) = x^5 - 4x^3 3x^2 - 8x - 6
The relative maxima and relative minima for f(x) = x⁵ - 4x³ + 3x² - 8x - 6 is is -1.871 and 1.518
The given function is f(x) = x⁵ - 4x³ + 3x² - 8x - 6 ,now differentiation function with respect to x we get
=5x⁴ - 12x² + 6x - 8
Now solving the given equation for the critical values are:
x₁ = 0.176 + 0.73i
x₂ = 0.176 - 0.73i
x₃ = 1.518
x₄ = -1.871
Now, taking derivative of the 5x⁴ - 12x² + 6x - 8 , with respect to x we get
= 20x³ - 24x + 6
now replacing the value of x by 1.58, we get
20 * 1.58³ - 24 * 1.58 + 6
= 46.966, which is positive so it is the minima
Again replacing the value of x by -1.871, we get
=>20 * -1.871³ - 24 * -1.871 + 6
=> -169.9, which is negative so it is the maxima
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write a linear function with the values f(0)=6 and f(7)=27
The equation of the linear function is f(x) = 3x + 6
Given,
In the question:
The values are given as:
f(0)=6 and f(7)=27
To write a linear function.
Now, According to the question:
Write the equation of linear function:
y = mx + b
Substitute (0,6) and (7, 27) into y = mx + b:
6 = m x 0 + b
27 = m x 7 + b
Solve the equation:
6 = b
27 = 7m + b
Swap the sides :
b = 6
27 =7m +b
Substitute into one equation:
27 = 7m + 6
7m = 27 - 6
7m = 21
m = 3
Substitute b = 6 , m = 3 into y = mx +b
f(x) = 3x + 6
Hence, The equation of the linear function is f(x) = 3x + 6
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Sam is taking photos for the yearbook. She takes 140 photos in the morning.
In the afternoon, she takes 60% more photos.
How many photos does Sam take in the afternoon?
The number of photos that Sam takes in the afternoon is 224.
What is percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
In this case, Sam is taking photos for the yearbook and she takes 140 photos in the morning and in the afternoon, she takes 60% more photos.
The photos taken in the afternoon will be:
= Morning photos + Increase in photo
= 140 + (60% × 140)
= 140 + 84
= 224
He took 224 photos.
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PLEASE HELP!
Jason decided to begin a workout program. He wants to start running three times a week. At the beginning of the workout program, his weekly average per run is 1 mi. He increases his weekly average per run by 17% each week, according to an exponential growth model.
Jason makes a sketch of the graph for this situation. He plots the point containing the y-intercept, (0,1) . He then plots the point representing the weekly average per run for Week 7 and rounds the coordinates of the point to the nearest tenth.
What are the coordinates of the point that represents the weekly average per run for Week 7?
Answer: I think it (7,4.1)
Step-by-step explanation:
Answer:
7.3.0
Step-by-step explanation:
y=x2-14x+1
y=-14x+17
Answer:
y-y=x2-14x+14x+1-17
x2-16=0
x2=16
x=4
please help asap
(possible answers are: 2,-5,1,-8)
The solution is y = -5
What is Quadratic Equation?
A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c = 0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
Given data ,
Let the function be f ( x ) = y
And , y = x² + 2x - 8
So , f ( x ) = x² + 2x - 8
Substituting the value for x in the equation , we get
When x = -3
f ( -3 ) = ( -3 )² + 2( -3 ) - 8
= 9 - 6 - 8
= 9 - 14
f ( -3 ) = -5
When x = 1
f ( 1 ) = ( 1 )² + 2( 1 ) - 8
= 1 + 2 - 8
= 3 - 8
f ( 1 ) = -5
Hence , the value of y = -5
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If given that the area of a square is 121 cm², find the length of one side of the square.
A 30.25 cm
B 11 cm
C 60.5 cm
D 10 cm
2. There were 198 men and 256 women at a party of the men and
One-fourth of women left early.how many people remained at the party?
Answer:1/4 ×256/1= 64 women that left party
256-64= 192 women who remained
192+198=390 men and women at the party
Step-by-step explanation:
After 2/3 of a minute a turtle has moved just 3/7 of a foot. What is the turtle's speed in
feet per minute?
Solve the following system of equations by linear combination: 2x + y = 8 x – y = 4
a. The solution is (5, –2).
b. The solution is (4, 0).
c. There is no solution.
d. There are an infinite number of solutions.
The solution to the equation by linear combination is (b) The solution is (4, 0).
How to determine the solution to the equation?From the question, we have the following system of equations
2x + y = 8
x – y = 4
By linear combination, we start by eliminating one of the variables
This is done by adding the equations
So, we have
2x + x - y + y = 8 + 4
Evaluate the like terms
3x = 12
Divide both sides
x = 4
Substitute x = 4 in x – y = 4
4 – y = 4
So, we have
y = 4 - 4
Divide
y = 0
Hence, the solution is (b) (4, 0)
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five fair coins are tossed. what is the probability that five tails will show? express your answer as a common fraction.
The probability that five tails will show is 1/32.
Given that the 5 coins are tossed. The probability of getting the head or the tails is 1/2 for each toss.
This means, total number of observations = 2⁵ = 32.
Required outcome is → 5 Heads {H,H,H,H,H}
This can occur only ONCE! when all the coins show the heads.
Thus, required outcome = 1
so, the Probability (5 Heads) = 1/32.
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A ship travels 10 km on a course heading 50º east of north. How far north, and how far east has the ship traveled at this point? show work!
The Distance the ship has traveled towards the north and east respectively on a course 50 degrees at and a distance of 10km is 7.66km respectively
How to find distance traveled by the ship
In a right angled triangle, the square on the hypotenuse side is equal to the sum of the squares on the other two sides
using the trig. ratios of Sine, Cosine and Tangent
From sinβ = opposite/hypotenuse
where; β is the angle made on the course
sin50°=y/10
Where y is the distance towards north
this implies that 10sin50=y
10 x 0.7660=y
y=7.66km
also towards the East
using cosne ratio
cos40=adj/hypo
cos40=x/10
where x is the distance towards east
10 x cos40=x
10x 0.7660
x=7.66km
The ship traveled a distance of 7.66km in each of the directions
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Question 3 of 5
What is the fractional equivalent of the repeating decimal 0.5?
A- 5/99
B- 5/9
C-5/11
D-1/2
Answer: A. 5/99
Step-by-step explanation: This is bc it is repeating and 5 is an odd number.
A stadium manager has signed five acts this year with a combined revenue projection of $1,000,050. The cost for these is expected to average $85,000 per act. How much profit margin does the stadium expect this last year?.
profit margin does the stadium anticipate for this year 575050
Given,
This year, a stadium manager has booked five performances with a projected aggregate revenue of $1,050,050.
Profit: 1000 - 425 (85 x 5) = 575
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Show work!
The sum of the angles of a triangle is 180. the first and second angles are equal. The third angle is 2.5 times the first. How large is the first angle?
Answer: 40°
Step-by-step explanation:
First angle can be represented as x, second angle can be represented as y, and the third angle can be represented as z.
x + y + z = 180°
Since the first and second angles are equal, x = y, we can replace y with x.
x + x + z = 180°
The third angle is 2.5 times the first, which can be written as 2.5x.
x + x + 2.5x = 180 (now we solve for x)
4.5x = 180
x = 40°
Check:
40 + 40 + 40(2.5) = 180°
180°=180°
Pls help asap, 35 POINTS
The smaller triangle is dilated to create the larger triangle. The center of datio. Is plotted but not labeled.
Describe this dilation. Be sure to include all of the information someone would need to perform the dilation.
Answer: Wat is dat green unlined as
Step-by-step explanation:
Which situations can be represented by an exponential function? select each correct answer.
An exponential function can be represented by the below four situations.
An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance; and A total population is increasing by about 7.5% each year.
An exponential function is one in which the amount increases or decreases by being multiplied by a fraction or decimal.
In the first situation, 4/5 of the number is found per year; this means we multiply by 4/5. This is exponential.
In the second situation, the number of miles increases by 38 per gallon of gas used. This is adding 38, so it is not exponential.
In the third situation, the amount in the checking account is decreased by subtracting $25.75 for every month that passes; this is not exponential.
In the fourth situation, the number of toads increases by 7.5%; this is done by multiplying by 1.075 each time. This is exponential.
Hence the answer is an exponential function can be represented by the above four situations.
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Bob rides his bike with a constant speed of
16 km/h. How far can he travel in 2 hours
30 minutes?
Graph the linear function d(x)=−12x−3
The graph of the given linear function is attached below.
What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which m is the slope, which is the rate of change, that is, the change in y divided by the change in x.
Also, b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.
We are given the linear function d(x)=−12x−3
The graph is given below.
Two points on the graph are (2, 4) and (4, 7).
Now,
Hence, Slope of graph = -12
The graph of the given linear function is attached below.
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Shane bought a mid-level computer 10 years ago for $3800. Yesterday, Shane bought a mid-level computer for $1400.
What was the approximate percent of decrease in the cost of mid-level computers?
The percent of decrease is 63.16%
How to calculate the percentage of decrease?
First, we calculate the amount of decrease
= $3,800 - $1,400
= $2,400
Next we dividing the amount of decrease by original price (old price)
= $2,400 ÷ $3,800
= 0.6316
And then convert the result into a percentage by multiplying by 100%
= 0.6316 × 100%
= 63.16%
Thus, the percent of decrease is 63.16%
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If f(x) = 2x - 9, which of the following are correct? Select all that apply. f(-1) = -11 f(2) = 5 f(3) = -3 f(0) = -9 f(-3) = 15
f(-1) = -11 and f(3) = -3 . these functions are true .
What does a math function mean?
A relationship between a group of inputs and one output each is referred to as a function. A function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. f(x), where x is the input, is a common way to refer to a function.In mathematics, a function is an expression, rule, or law that establishes the relationship between two variables (the dependent variable).given function f(x) = 2x - 9
f(-1) = -11 ⇒ x = -1 put in function
f( -1 ) = 2 * -1 - 9 ⇒ - 11
f(2) = 5 ⇒ x = 2 put in function
f( 2 ) = 2 * 5 - 9 = 1
f(3) = -3 ⇒ x = 3 put in function
f ( 3 ) = 2 * 3 - 9 = -3
f(-3) = 15 ⇒ x = -3 put in function
f( -3) = 2 * -3 - 9 = - 15
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Mrs. Rowan allotted 30 minutes at the beginning of class for her students to complete an exam. The last student took 42 minutes to complete the exam. What is Mrs. Rowan's percent error
Mrs. Rowan's , percent error is 40% .
In the question ,
it is given that ,
the time allotted by Mrs. Rowan to complete the exam = 30 minutes
the time that the last student took to complete the exam = 42 minutes
the percent error can be calculated using the formula
percent error = (time student take - time allotted) / (time allotted) × 100
Substituting the values of allotted time and time taken by the student from above , we get
percent error = (42 - 30)/30 × 100
= 12/30 × 100
= 0.4 × 100
= 40%
Therefore , Mrs. Rowan's percent error is 40% .
The given question is incomplete , the complete question is
Mrs. Rowan allotted 30 minutes at the beginning of class for her students to complete an exam. The last student took 42 minutes to complete the exam. What is Mrs. Rowan's percent error ?
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Find the eighth term in the sequence and explain how you arrived at this answer.
4, 16, 36, 64, 100, ...
Answer: 144
Step-by-step explanation:
When we go from 4 to 16, we add 12. Then, to get to 36, we add 20. Then, we add 28 to get 64, and finally 36 to get 100. The pattern looks like we add by 8 more every time, so next number is 100 + (36 + 8) or 144.
The sequence of squares of even nos. so the 8th term would be the square of 16 which is 256.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference
d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
The given sequence is 4, 16, 36, 64, 100...
This is a sequence of squares of even nos.
The first term is the square of 2 and the second term is the square of 4 hence the 8th term would be the square of 16 which is 16² = 256.
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based on the picture, would man a or man b have more gravity?
subject is science but it not there
Answer: what picture
Step-by-step explanation:
What is the greatest common factor of 306², 806², and 206³?
Answer:
4Step-by-step explanation:
Find the prime factors of each number:
206 = 2*103 ⇒ 206² = 2²*103²306 = 2*3²*17 ⇒ 306² = 2²*3⁴*17²806 = 2*13*31 ⇒ 806² = 2²*13²*31²The greatest common factor of the three numbers is:
2² = 4Kristen is mixing sweet tea and lemonade to make her favorite beverage. She mixes 24 fluid ounces of sweet tea with 18 fluid ounces of lemonade. How many liters of the beverage did she mix? Round to the nearest hundredth.
Answer: The answer should be 1.24.
Step-by-step explanation:
1.24209 rounded to the nearest hunredth is 1.24.
Answer:
1.24
Step-by-step explanation:
there are 33.814 fluid ounces in one liter. But she mixes 24 + 18 = 42 fluid ounces which is 1.24209 liters rounded to the nearest hundredth is 1.24
