Answer:
[tex]Cost\ Price = 4331.25[/tex]
Step-by-step explanation:
Given
Selling Price = Sh. 4950
Profit = 12.5%
Required
Determine the cost price
Profit is calculated as:
[tex]Profit = \frac{Selling\ Price - Cost\ Price}{Selling\ Price} * 100\%[/tex]
Substitute values for Selling Price and Profit
[tex]12.5\% = \frac{4950 - Cost\ Price}{4950} * 100\%[/tex]
Cross Multiply:
[tex]4950 * 12.5\% = (4950 - Cost\ Price) 100\%[/tex]
[tex]\frac{4950 * 12.5\%}{100\%} = (4950 - Cost\ Price)[/tex]
[tex]618.75 = (4950 - Cost\ Price)[/tex]
Collect Like Terms
[tex]Cost\ Price = 4950 - 618.75[/tex]
[tex]Cost\ Price = 4331.25[/tex]
Hence, the cost price of the item is: Sh. 4331.25
Pls help me I will Brianlest
Answer:
$4400
Step-by-step explanation:
Total earnings = $1038
Base salary = $675
What part of the total earnings was from the commission?
$1038 - $675 = $363
She made $363 in commissions.
The commissions are 8.75% of the sales.
Let sales = x.
8.25% of x = $363
0.0825x = 363
Divide both sides by 0.0825
x = 4400
Answer: Her sales were $4400
If you traveled 2,500 meters over the weekend, how many kilometers is that?
Answer:
25 kilometers
Step-by-step explanation:
I don’t know how to do this.
Answer:
[tex]a_{n} = \frac{n}{(n +1)^{2}}[/tex]
Step-by-step explanation:
[tex]a_{n} = \frac{n}{(n +1)^{2}}[/tex]
[tex]a_{1} = \frac{1}{(1 +1)^{2}} = \frac{1}{2^{2}} = \frac{1}{4}\\\\a_{2} = \frac{2}{(1 +2)^{2}} = \frac{2}{3^{2}} = \frac{2}{9}\\\\a_{3} = \frac{3}{(1 +3)^{2}} = \frac{3}{4^{2}} = \frac{3}{16}\\[/tex]
Find the product of 6x and 2y2
Answer: 24xy
I'm not sure if I'm right, but if I am and you have any questions about how it was solved, feel free to ask!! :)
Simplify the expression: 2(2 + g) =
Answer:
4 + 2g
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
2(2 + g)
Step 2: Expand
Distribute 2: 2(2) + 2(g)Multiply: 4 + 2gIf 5 students play the flute and 7 students play the clarinet, what is the ratio of clarinet players to fluteplayers?
Answer:
5:7
hope it helps........
A figure has been dilated from center 0 by a scale factor of = 7/6 . What scale factor would shrink the dilated figure back to the original size?
Answer:
6/7
Step-by-step explanation:
1 x 7/6 x 6/7 = 1
A scale factor of 6/7 would shrink the dilated figure back to its original size.
To return the dilated figure back to its original size, you would need to use a scale factor that is the reciprocal of the original dilation scale factor. The reciprocal of a fraction is obtained by flipping the numerator and denominator.
Given the original dilation scale factor of 7/6, the scale factor that would shrink the dilated figure back to the original size is:
Reciprocal of 7/6 = (6/7)
So, using a scale factor of 6/7 would shrink the dilated figure back to its original size.
To know more about scale factor
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Please help its due today
Jody wants to build a rectangular garden that has dimensions 16 feet by 24 feet. Fence post must be placed 4 feet apart.
Create a diagram that locates each post.
How many post will Jody need?
Answer:
8 posts total on both the 16 ft. sides(there are 4 sides to a rectangle), 12 posts on both the 24 ft. sides(there are 4 sides to a rectangle)
Step-by-step explanation:
they are spaced 4 ft apart. Jody will need 20 total posts.
Help! Anyone??
The graph below shows the relationship between the distance a car is driven and the numbers of gallons of gas used.
a. Find and interpret the slope.
b. Interpret the slope.
Step-by-step explanation:
not sure about this one sorry cant help ya but i do have a hint its B
Tony bought 8 books about plants and 3
books about fish. He also bought 7
science magazines. Each book cost $6
and each magazine cost $5. How much
did Tony spend in all?
Answer:
Tony spent $101.
Step-by-step explanation:
11*6 = 66
7*5 = 35
66+35 = 101
Question and answer choices are attached. Please pick the right answer and explain/show work if possible. Thanks!
Answer:
Choice c. [tex]\sqrt{12}[/tex]
Step-by-step explanation:
Vectors
Suppose we have a vector v defined as
[tex]\vec v=a\mathvf{i}+b\mathvf{j}[/tex]
The magnitude of the vector is:
[tex]\mid\mid\vec v\mid\mid=\sqrt{a^2+b^2}[/tex]
On the other hand, the dot product of the vector by itself is:
[tex]\vec v\cdot\vec v=a*a+b*b=a^2+b^2[/tex]
Note the relation between these two operations is:
[tex]\mid\mid\vec v\mid\mid=\sqrt{\vec v\cdot\vec v}[/tex]
Since we are given:
[tex]\vec v\cdot\vec v=12[/tex], then:
[tex]\mid\mid\vec v\mid\mid=\sqrt{12}[/tex]
Choice c) [tex]\sqrt{12}[/tex]
I need to find the equation of the graphed line.
Answer:
y=-x-7
Step-by-step explanation:
So the line goes down one unit for every unit it goes to the left.
Slope is rise over run which would be -1/1 (simplify to -1)
The line crosses the y axis at -7
So to put it in slope-intercept form (y=mx+b) it would be y=-1x-7
You don't have to include the one in -1x because its the same as saying -x
Answer: 20-w33
Step-by-step explanation:
So easy yaar! SO. EASY!
Just find the slope by connecting the megapixel by the hardrive!
Then calculate the cheese fromage from the stroop waffle, simply add the chemistry hypothecary theory, and your're set!
Don't forget to comma the C's and capitalize the G's!
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!
Elena gets a base pay of $1,500 per month. She also earns a commission of 8% of the total sales dollars that she makes. What are Elena’s earnings for a month in which she has sales of $32,000?
Answer:
You have to divide the total sales by 8 percent. 32,000/ 0.8 =40,000
So your answer is 40,000.
Step-by-step explanation:
Answer:
4060
Step-by-step explanation:
8/100(32000)+1500=4060
Which best describes the figure that is represented by the following coordinates
A(—3,4) B (3, 4) C (3, —2) and D (—3 —2)
Answer: Rectangle
Reasoning: 4 straight sides, 2 pairs of sides of equal length.
A computer is normally $550 but is discounted to $385. What percent of the original price does Mark pay?
Can someone help me?
Answer:
70%
Step-by-step explanation:
385/550 giving you a decimal of 0.7 which is 70%
True or false? 3a+15b is divisible by 3 for any values of a and b.
Answer:
true
Step-by-step explanation:
its TRUE :)
Answer:
False
Step-by-step explanation:
Take a=-1 and b=-1/7
-3+-15/7=-36/7 which is not divisible by 3. There are several other examples which I don't even need to prove
10 snails is to be chosen from this population. Find the probability that the percentage of streaked-shelled snails in the sample will be (a) 50%. (b) 60%. (c) 70%.
Here is the full question:
[tex]The \ shell \ of \ the \ land \ snail \ Limocolaria \ martensiana \ has \ two \ possible \ color[/tex][tex]forms: \ streaked \ and \ pallid. \ In \ a \ certain \ population \ of \ these \ snails, \ 60\% \ o f \ the[/tex][tex]individuals \ have \ streaked \ s hells.\ 16 \ Suppose \ that \ a \ random \ sample \ of \ 10 \ snails[/tex][tex]is \ to \ be \ chosen \ from \ this \ population. \ F ind \ the \ probabilit y \ that \ the \ percentage \ of[/tex]
[tex]streaked-shelled \ snails \ in \ t he \ sample \ will \ be[/tex]
[tex](a) 50\%. \ (b) 60\%. \ (c) 70\%.[/tex]
Answer:
(a) 0.2007
(b) 0.2510
(c) 0.2150
Step-by-step explanation:
Given that:
The sample size = 10
Sample proportion= 60% 0.6
Let X represents the no of streaked-shell snails.
[tex]X \sim Binom (n =1 0, p = 0.60)[/tex]
The Probability mass function (X) is:
[tex]P(X =x)= (^n_x) p^x(1-p)^{n-x}; x = 0,1,2,3...[/tex]
The Binomial probability with mean μ = np
= 10 * 0.6
= 6
Standard deviation σ = [tex]\sqrt{np(1-p)}[/tex]
= [tex]\sqrt{10*0.6*(1-0.6)}[/tex]
= 1.55
The probability that the percentage of the streaked-shelled snails in the sample will be:
a)
[tex]P(X = 0.5) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]
[tex]= ^{10}^C_5 * (0.6)^5(1-0.6)^{10-5}[/tex]
[tex]= \dfrac{10!}{5!(10-5)!} * (0.6)^5(1-0.6)^{10-5}[/tex]
= 0.2007
b)
[tex]P(X = 0.6) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]
[tex]= ^{10}^C_6 * (0.6)^6(1-0.6)^{10-6}[/tex]
[tex]= \dfrac{10!}{6!(10-6)!} * (0.6)^6(1-0.6)^{10-6}[/tex]
= 0.2510
c)
[tex]P(X = 0.7) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]
[tex]= ^{10}^C_7 * (0.6)^7(1-0.6)^{10-7}[/tex]
[tex]= \dfrac{10!}{7!(10-7)!} * (0.6)^7(1-0.6)^{10-7}[/tex]
= 0.2150
Sarah bought 4 pens for $1.00. How many did she pay for each pen?
Answer:
Sarah paid 25 cents for each individual pen
Step-by-step explanation:
Answer:
she paid .25 cents for each
Step-by-step explanation:
1.00÷4=.25
What type of exponential function is f(x)=0.6(2.4)^x?
What is the function's percent rate of change?
Select from the drop-down menus to correctly complete each statement.
The function is an exponential CHOOSE function.
The percent rate of change of the function is CHOOSE%.
Answer:
growth
140%
Step-by-step explanation:
The function f(x) is an exponential growth function as f(x) increases when x increases.
The percent rate of change of the function f(x) is 201.6%.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 0.6 [tex](2.4)^x[/tex]
For x = 1,
f(1) = 0.6 x 2.4 = 1.44
For x = 2,
f(2) = 0.6 x 2.4² = 0.6 x 5.76 = 3.456
For x = 3,
f(3) = 0.6 x 2.4³ = 0.6 x 18.824 = 8.2944
We see that,
As the value of x increases, the value of f(x) increases.
f(x) is an exponential growth function.
Now,
The percentage rate of change of function f(x).
= (f(2) - f(1)) / (2 - 1) x 100
= (3.456 - 1.44) x 100
= 2.016 x 100
= 201.6 %
Thus,
f(x) is an exponential growth function.
f(x) percent rate of change is 201.6%
Learn more about functions here:
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For what value of the number k is the following function differentiable at x=2
f(x) = {2x + 1 if x<2
k x=2
3x-1 x>2}
Answer:
For f(x) to be differentiable at 2, k = 5.
Step-by-step explanation:
For f(x) to be differentiable at x = 2, f(x) has to be continuous at 2.
For f(x) to be continuous at 2, the limit of f(2 – h) = f(2) = f(2 + h) as h tends to 0.
Now,
f(2 – h) = 2(2 – h) + 1 = 4 – 2h + 1 = 5 – 2h.
As h tends to 0, lim (5 – 2h) = 5
Also
f(2 + h) = 3(2 + h) – 1 = 6 + 3h – 1 = 5 + 3h
As h tends to 0, lim (5 + 3h) = 5.
So, for f(2) to be continuous k = 5
Tell if it’s linear or not, plz help it has a timer :(
Answer:
Only B is linear
Step-by-step explanation:
I would appreciate if someone would help me
Answer:
x = 12
Step-by-step explanation:
We know that the integers are consecutive. This means that they can be written as:
x, x + 1, and x+2.
First Integer: x
Second Integer: x + 1
Third Integer: x + 2
It is also given that the sum of the first integer and twice the second is 80 minus three times the third.
Write as an equation:
First Integer + 2(Second Integer) = 80 - 3(Third Integer)
Substitute:
x + 2(x+1) = 80 - 3(x+2)
Multiply:
x + 2x + 2 = 80 - 3x - 6
Simplify:
3x + 2 = 74 - 3x
Add 3x to both sides of the equation:
6x + 2 = 74
Subtract 2 from both sides of the equation:
6x = 72
Divide both sides of the equation by 6:
x = 12
Let me know if you have any questions about my explanation!
Answer:
Smallest Integer = 12Step-by-step explanation:
According to question ,
• First Integer → x
• Second Integer → x + 1
• Third Integer → x + 2
Now question says that the sum of the first and twice the second is 80 minus three times the third that means ,
→ x + 2 ( x + 1 ) = 80 - 3 ( x + 2 )
→ x + 2x + 2 = 80 - 3x - 6
→ 3x + 2 = -3x + 74
→ 3x + 3x = 74 - 2
→ 6x = 72
→ x = 72/6
→ x = 12
Hence , value of x is 12 that means :
→ x = First Integer = 12
→ x + 1 = Second Integer = 13
→ x + 2 = Third Integer = 14
In all of these x is the smallest integer and hence 12 is the correct answer .
Write the decimal 0.00383 in words
Answer:
point zero zero three eight three
Answer: three thousandths
Step-by-step explanation:
hope this helped
Match each mixed number to it's improper fraction.
Answer:
9/2
5/3
13/4
3/2
Step-by-step explanation:
A graph showing a proportional relationship will...
find the nth term of this quadratic sequence
2, 8, 18, 32, 50,
BE FAST IM TIMED
An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques. There are 75 students in the school who can participate in the experiment. Using a table of random digits, the researcher will randomly place the students into five equally sized treatment groups suitable for comparison.
Which number range would be needed to label the students correctly?
A 0–4
B 1–5
C 00–75
D 01–75
Answer:
D
Step-by-step explanation:
Answer:hope it helped
Step-by-step explanation:
c answer
what is the value of the function y = 3/4x - 5 for x = -4
Answer:
y= 5.33333
Step-by-step explanation:
i think this is right DON'T MARK BRAILIST
25x^3+5x^2+30x+6=0 solve
Answer:
x = -1/5, x = i sqrt(30)/5, x = -i sqrt(30)/5
Step-by-step explanation:
25x^3 + 5x^2 + 30x + 6 = 0
5x^2(5x + 1) + 6(5x + 1) = 0
(5x + 1)(5x^2 + 6) = 0
5x + 1 = 0
5x = -1
x = -1/5
5x^2 + 6 = 0
5x^2 = -6
x^2 = -6/5
x = +/- sqrt(-6/5)
x = +/- i * sqrt(30)/5
x = i sqrt(30)/5 or x = -i sqrt(30)/5
What is the slope of the line shown in the graph?
A 3/2
B) 2/3
C) -3/4
D) -2/3
Answer:
D.
Step-by-step explanation:
y-intercept is (0, 3)
x-intercept is (4.5, 0)
formula to find the slope from two points is
[tex]slope = m = \frac{y2 - y1}{x2 - x1} = \frac{y1 - y2}{x1 - x2} \\ [/tex]
then the slope of the line that crosses (0, 3) & (4.5, 0) is
[tex]m = \frac{3 - 0}{0 - 4.5} = \frac{3}{ - 4.5} = - \frac{3}{ \frac{9}{2} } = - \frac{2}{3} [/tex]