three business partners abila,bwire,and chirchi contributed ksh 120,000ksh 130,000 and ksh 240,000 respectively,to boost their business. they agreed to put 20% of the profit accrued back in to the business and to use 35% of the profit for running the business ( official operation) the reminder was to be shared among the business partners in the ratio of their contribution at the end of the year a grass profit of ksh 225000 was realised. calculate the amount. put back in to business
Answers
To calculate the amount put back into the business, we need to determine 20% of the profit. Here's the calculation:
Total profit = Ksh 225,000
Amount put back into the business = 20% of the profit
Amount put back into the business = 0.2 * Ksh 225,000
Amount put back into the business = Ksh 45,000
Therefore, Ksh 45,000 was put back into the business.\(\)
Related Questions
write a linear function f with the values f(-2)=8 and f(1)=-10
Answers
Answer:
The linear function f(x) = -6x - 4
Step-by-step explanation:
The equation of the linear function f(x) is y = m x + b, where
y = f(x)m is the slope of the line represents the functionb is the y-intercept ⇒ value y at x = 0The rule of the slope is m = \(\frac{y2-y1}{x2-x1}\) , where
(x1, y1) and (x2, y2) are two points on the line∵ f(x) = y ⇒ is the function of the set of ordered pairs (x, y)
∴ f(-2) = 8 is the point (-2, 8)
∴ f(1) = -10 is the point (1, -10)
∴ x1 = -2 and y1 = 8
∴ x2 = 1 and y2 = -10
→ Substitute them in the rule of the slope to find it
∵ m = \(\frac{-10-8}{1--2}\) = \(\frac{-18}{1+2}\) = \(\frac{-18}{3}\)
∴ m = -6
→ Substitute it in the form of the equation above
∵ y = -6(x) + b
∴ y = -6x + b
→ To find b substitute x by 1 and y by -10
∵ x = 1, y = -10
∴ -10 = -6(1) + b
∴ -10 = -6 + b
→ Add 6 to both sides
∵ -10 + 6 = -6 + 6 + b
∴ -4 = b
∴ b = -4
→ Substitute it in the equation
∴ y = -6x + -4
∴ y = -6x - 4
∵ y = f(x)
∴ The linear function f(x) = -6x - 4
Rebecca works as a dog walker and a tutor. She
earns $20 per hour as a dog walker and $25 per
hour as a tutor. Last week, Rebecca worked both
jobs for a total of 30 hours and earned a total of
$690.
How long did Rebecca work as a dog walker,
and how long did she work as a tutor?
Answers
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol
Step-by-step explanation:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol
Find the unknown value: x + 9 = 16
Answers
Answer:
Step-by-step explanation:
Given
x + 9 = 16
x = 16 - 9
x = 7
hope it will help :)
Answer and Step-by-step explanation:
Let's solve your equation step-by-step.
x+9=16
Step 1: Subtract 9 from both sides.
x+9−9=16−9
x=7
Answer:
x=7
help me
-31-4=-5-25x-5
Answers
Answer:
x = 1
Step-by-step explanation:
- 31 - 4 = - 5 - 25x - 5
− 3 5 = − 5 − 2 5 − 5
− 3 5 = − 2 5 − 1 0
− 3 5 + 1 0 = − 2 5 − 1 0 + 1 0
− 2 5 = − 2 5
− 2 5 = − 2 5
-25/-25 = - 25x/- 25
x = 1
Answer:
X=1
Step-by-step explanation:
1)Subtract the numbers
-31-4=-5-25x-5
-35=-5-25x-5
2)Subtract the numbers
-35=-5-25x-5
-35=-10-25x
3)Rearrange terms
-35=-10-25x
-35=-10-25x
4)Add 10 to both sides of the equation
−35=−25−10
−35+10=−25−10+10
5)Simplify
−25=−25x
X=1
7 x 10-⁴ 3.5 X 10⁶ thank youuuuuuuuuuiuuuuu
Answers
Answer:
−3430000
Step-by-step explanation:
Mark as brainllest
which measure captures the variation in ressponses? multiple choice the frequency distribution the median the mode the standard deviation the mean
Answers
the measure that captures the variation in responses is mean and it is the weighted average
What is the meaning of mean in math?
In mathematics and statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations), the geometric mean, and the harmonic mean.
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Please help ASPA thanks
Answers
What is it that you need help with im in Algebra 1
What does an exchange rate of $1.25: ¥1 mean or imply?
Implies that the ¥ has strengthened vis-à-vis the $U.S.
Implies that the $U.S. has strengthened vis-à-vis the ¥
Means that each $U.S. is worth 1.25¥
Can also be expressed as $1: ¥0.80
Answers
An exchange rate of $1.25: ¥1 implies that one U.S. dollar (USD) that is equivalent to 1.25 Japanese yen (JPY) or alternatively, 1 JPY is equivalent to 0.8 USD.
The USD is weaker than the JPY, since more USD is needed to purchase one unit of JPY.
So, if someone wanted to exchange USD for JPY.
JPY would receive fewer JPY for their USD than if the exchange rate was lower.
We can say oppositely,
if someone wanted to exchange JPY for USD then for their JPY than if the exchange rate was more. they would receive more USD .
The exchange rate is effected by factors such as interest rates, inflation, political stability, and trade relationships between the two countries.
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Which expression is equivalent to ½ sin 2 theta for all values of theta
Answers
Given:
Given the expression
\(\frac{1}{2}\sin2\theta\)Required: An equivalent expression
Explanation:
Use the formula
\(\sin2\theta=2\sin\theta\cos\theta\)Dividing by 2 on both sides gives
\(\begin{gathered} \frac{1}{2}\sin2\theta=\frac{1}{2}(2\sin\theta\cos\theta) \\ =\sin\theta\cos\theta \end{gathered}\)Option D is correct.
Final Answer: An equivalent expression of
\(\frac{1}{2}\sin2\theta\)is
\(\cos\theta\sin\theta\)a tailor bought 5 yards of cloth he used 2 3/8 yards of cloth to make 1 pair of pants if he made 2 pairs of pants how much cloth does the tailor have left
Answers
If a tailor bought 5 yards of cloth he used \(2\frac{3}{8}\) yards of cloth to make 1 pair of pants and he made 2 pairs, the length of the cloth that left is 1/4 yards
The total length of the cloth that he bought = 5 yards
The length of cloth that he used to make 1 pair of pants = \(2\frac{3}{8}\) yards
Convert the mixed fraction to the simple fraction
\(2\frac{3}{8}\) yards = 19/8 yards
The length of cloth required to make 2 pants = 2 × The length of cloth that he used to make 1 pair of pants
Substitute the values in the equation
= 2 × (19/8)
= 19/4 yards
The remaining cloth = The total length of the cloth that he bought - The length of cloth required to make 2 pants
= 5 - (19/4)
= 1/4 yards
Hence, the length of the cloth left is 1/4 yards
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Cuales son los factores de 210
Answers
Answer:
Hola otra vezzz xd
aqui esta otra foto hope it helpss
Step-by-step explanation:
Factores de 210:
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
¡Espero haber ayudado!
Sean bought 4/5 of a pound of cherries and then he ate 1/3 of a pound of them. When he got home, he saw that he still had
1/6 of a pound of cherries in his cupboard. How many total pounds of cherries does he have? Give your answer as an exact simplified improper fraction, not as a mixed number. Do not include units.
Answers
The pound that he ad will be 19/30 pounds.
How to calculate the fraction?From the information, it was stated that Sean bought 4/5 of a pound of cherries and then he ate 1/3 of a pound of them.
He also found out that he had 1/6 of a pound of cherries in his cupboard.
Therefore, the total will be:
= (4/5 - 1/3) + 1/6
= 24/30 - 10/30 + 5/30
= 19/30
Therefore, the pound that he ad will be 19/30 pounds.
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BC has endpoints B(5,9) and C(-4,-3). Find the coordinates of the midpoint of BC.
I need help !!
Answers
Answer:
(0.5,3)
Hope this helps..Have a good day!!
Imagine that the price that consumers pay for a good is equal to $4. The government collected $1 of taxes for every unit sold. How much does the firm get to keep after the tax is paid (i.e. Ptax-tax)? o $1
o $2
o $3 o $4 o $5
Answers
Answer:
$3 because if they are having a product at 4 dollars and lose a Dollar for ever one sold then $4-$1 = $3
One employee of a computer store is paid a base salary of $938 a month plus a 6% commission on all sales over $5,541 during the month. How much must the employee sell in one month to earn a total of $3,250 for the month?
Answers
To earn a total of $3,250 for the month, the employee must sell approximately $55,000 worth of products. This includes a base salary of $938 and a 6% commission on sales over $5,541. By solving the equation, we find that the total sales needed to achieve this earning is approximately $55,000.
To determine this, we can set up an equation based on the given information. Let's denote the total sales as S. The employee earns a 6% commission on sales over $5,541, so the commission earned can be calculated as 6% of (S - $5,541).
The total earnings for the month, including the base salary and commission, should equal $3,250. Therefore, we can write the equation as:
$938 + 0.06(S - $5,541) = $3,250
Now, we can solve this equation to find the value of S.
$938 + 0.06S - $332.46 = $3,250
Combining like terms, we have:
0.06S = $3,250 - $938 + $332.46
0.06S = $2,644.46
Dividing both sides by 0.06, we find:
S = $2,644.46 / 0.06
S = $44,074.33
Therefore, the employee must sell approximately $55,000 worth of products in one month to earn a total of $3,250.
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he roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 m. The slant height of the roof, which is unknown, is the hypotenuse of the right triangle formed with the radius and the height of the cone.
What is the slant height of the roof?
Answers
==========================================================
Explanation:
The base of the cone is 24 m across. This is the diameter of the circle. Divide it in half to get 24/2 = 12 m as the radius.
We can form a right triangle inside the cone such that the horizontal piece is the radius 12 m and the vertical piece is the height 16 m. The hypotenuse of this right triangle is the slant height. This is all mentioned in the instructions of course.
We'll use the pythagorean theorem to find the hypotenuse.
\(a^2 + b^2 = c^2\\\\c = \sqrt{ a^2 + b^2 }\\\\c = \sqrt{ 12^2 + 16^2 }\\\\c = \sqrt{ 144 + 256 }\\\\c = \sqrt{ 400 }\\\\c = 20 \text{ meters is the slant height}\\\\\)
It is the distance from the circular base to the peak of the cone, when traveling along the outside of the cone. This is a straight line distance.
Nico, Aditi, Erick, Raj, and Sandra are solving the equation. Two-fifths (5 + x) = 8 Each student begins to solve the problem as shown. Nico Aditi Erick Two-fifths (5 + x) = 8. (Five-halves) two-fifths (5 + x) = 8 (five-halves) Two-fifths (5 + x) = 8. Five-halves (5) + five-halves x = (five-halves) 8 Two-fifths (5 + x) = 8. Two-fifths (5 + x) minus 5 = 8 minus 5 Raj Sandra Two-fifths (5 + x) = 8. (one-half) two-fifths (5 + x) = 8 (one-half) Two-fifths (5 + x) = 8. two-fifths (5) + two-fifths x = 8 Which students are correct in their approach to solving the problem? Select three options. Group of answer choices
Nico
Aditi
Erick
Raj
Sandra
Answers
By applying the distributive property of multiplication, the students that are correct in their approach to solving the problem are: Nico, Raj and Sandra.
How to solve the given equation?In order to open the bracket and isolate the variable x, we would first of all multiply both sides by 5/2 as follows:
2/5(5 + x) = 8
Multiplying both sides by 5/2, we have:
5/2 × 2/5(5 + x) = 8 × 5/2
5 + x = 40/2
5 + x = 20
Subtracting 5 from both sides, we have:
5 + x - 5 = 20 - 5
x = 15
Method 2.In order to open the bracket and isolate the variable x, we would first of all multiply both sides by 1/2 and then 5 as follows:
2/5(5 + x) = 8
Multiplying both sides by 1/2, we have:
1/2 × 2/5(5 + x) = 8 × 1/2
1/5(5 + x) = 4
Multiplying both sides by 5, we have:
5 × 1/5(5 + x) = 4 × 5
5 + x = 20
Subtracting 5 from both sides, we have:
5 + x - 5 = 20 - 5
x = 15
Method 3.In order to open the bracket and isolate the variable x, we would apply the distributive property of multiplication:
2/5(5 + x) = 8
2/5 × 5 + 2/5 × x = 8
2 + 2x/5 = 8
Subtracting 2 from both sides, we have:
2 - 2 + 2x/5 = 8 - 2
2x/5 = 6
Multiplying both sides by 5/2, we have:
5/2 × 2x/5 = 5/2 × 6
x = 30/2
x = 15.
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Choose the composition of translations that maps the image ΔPQR onto ΔP′Q′R′.
Question 4 options:
(x,y) → (x + 6,y + 3)
(x,y) → (x – 6,y – 3)
(x,y) → (x + 6,y – 3)
(x,y) → (x – 6,y + 3)
Answers
Answer:
(x , y ) ---> (x + 6 , y - 3)
Step-by-step explanation:
(x , y ) ---> (x + 6 , y - 3)
P(-1 , 4) -----> P'(-1+6 , 4-3) = P'(5,1)
Comapre P and P' x-coordinate
-1 + a = 5
a = 5 +1 = 6
Q(-1, 2) ----->Q'(-1+6 , 2 -3)= Q'(5, -1)
R(3 , 1) ------> R'(3+6 , 1-3) = R'(9,-2)
using a table of values ,determine the ordered pairs for f(x)=x²+5x -2 for (x: -3≤ x ≤1)
Answers
The ordered pairs for the function f(x) = x² + 5x - 2 for -3 ≤ x ≤ 1 are (-3, -8), (-2, -8), (-1, -6), (0, -2), and (1, 4).
How to solveIn order to find the ordered pairs of the function f(x) = x² + 5x - 2, we need to substitute the x-values within the specified range into the function and ascertain the y-values (f(x)) that correspond with them.
In the interval between -3 and 1, our x-values consist of -3, -2, -1, 0, and 1. Next, we will input each of these values into the function.
For x = -3:
f(-3) = (-3)² + 5(-3) - 2 = 9 - 15 - 2 = -8
So the ordered pair is (-3, -8)
For x = -2:
f(-2) = (-2)² + 5(-2) - 2 = 4 - 10 - 2 = -8
So the ordered pair is (-2, -8)
For x = -1:
f(-1) = (-1)² + 5(-1) - 2 = 1 - 5 - 2 = -6
So the ordered pair is (-1, -6)
For x = 0:
f(0) = (0)² + 5(0) - 2 = 0 + 0 - 2 = -2
So the ordered pair is (0, -2)
For x = 1:
f(1) = (1)² + 5(1) - 2 = 1 + 5 - 2 = 4
So the ordered pair is (1, 4)
So, the ordered pairs for the function f(x) = x² + 5x - 2 for -3 ≤ x ≤ 1 are (-3, -8), (-2, -8), (-1, -6), (0, -2), and (1, 4).
The table of values:
x f(x)
-3 2
-2 0
-1 2
0 -2
1 4
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Create a table of values for the function f(x) = x² + 5x - 2 for the range of x values from -3 to 1, inclusive.
Find the value of x and y using matrix method. 2x – 5y = 7 -2x + 4y = - 6
Answers
9514 1404 393
Answer:
(x, y) = (1, -1)
Step-by-step explanation:
The augmented matrix of coefficients for these equations is ...
\(\left[\begin{array}{cc|c}2&-5&7\\-2&4&-6\end{array}\right]\)
The row-reduction function of your calculator can find the solution to the system of equations. The result of using that function is ...
\(\left[\begin{array}{cc|c}1&0&1\\0&1&-1\end{array}\right]\)
This tells you the solution is (x, y) = (1, -1).
Find the surface area of the prism 12in 7in 5in
Answers
Answer:
Rectangular Prism Surface Area Volume = lwh; Surface Area = 2(lw + lh + wh) Sphere Surface Area Volume = (4/3) π r 3; Surface Area = 4 π r 2; Spherical Cap Surface Area. Volume = (1/3) π h 2 (3R - h) Surface Area = 2 π Rh; Triangular Prism Surface Area Top Surface Area of a Triangular Prism Formula
Step-by-step explanation:
Bonnie deposited $1000 in an investment account on the first of January in 2001. The account pays 7.2% interest compounded annually. How much is the investment worth at the end of 2005? please help, having a mental break down over my math homework <3
Answers
Answer:
About $1415.71
Step-by-step explanation:
We can use the formula for compound interest, given by:
\(\displaystyle A=P(1+\frac{r}{n})^{nt}\)
Where P is the initial amount, r is the rate, n is the number of times compounded annually, and t is the time in years.
Our initial amount is the $1000 Bonnie deposited. So, P = 1000.
Our rate is the interest, which is 7.2% of 0.072. So, r = 0.072.
Since it is compounded annually, our n = 1. So, we have:
\(A=1000(1+0.072)^t\)
We want the amount after 5 years. So, t = 5. Substitute and evaluate:
\(A=1000(1.072)^5\approx\$1415.71\)
The investment will be worth about $1415.71 after 5 years.
Answestream wonder
Step-by-step explanation:
k 9
The diameter, D, of a sphere is 18.8m. Calculate the sphere volume, V. Use the value 3.14 for pi
Answers
Answer:
3.14159369398579323..... and so on
Triangle ABC with vertices at A(−3, −3), B(3, 3), C(0, 3) is dilated to create triangle A′B′C′ with vertices at A′(−15, −15), B′(15, 15), C′(0, 15). Determine the scale factor used.
5
one fifth
12
one twelfth
Answers
For example, we can compare the distance between A and B in the original triangle to the distance between A' and B' in the dilated triangle.
Distance between A and B:
sqrt[(3 - (-3))^2 + (3 - (-3))^2] = sqrt[72] = 6sqrt[2]
Distance between A' and B':
sqrt[(15 - (-15))^2 + (15 - (-15))^2] = sqrt[1800] = 30sqrt[2]
The scale factor is the ratio of the distance between corresponding pairs of vertices in the dilated triangle to the distance between the same pairs of vertices in the original triangle.
So, the scale factor used in the dilation is:
(scale factor) = (distance between corresponding vertices in dilated triangle) / (distance between corresponding vertices in original triangle)
= (30sqrt[2]) / (6sqrt[2])
= 5
Therefore, the scale factor used in the dilation is 5.
The cost of two adults and 2 children is $34.
What is the cost of an adult? What is the cost of a child?
Answers
Answer:
there's more to the promotion need to ask it aning
a) He ate 4/10 of the pie.Write the decimal for the amount of pie he ate
Answers
Answer:
0.4
Step-by-step explanation:
4 / 10 = 0.4
0.4 is the decimal for the amount of pie he ate.
The value of k for which x²-4kxy+4y²=0 represent a pair of straight is?
Please help me!!
Answers
Answer:
k=1 k= -1
Step-by-step explanation:
hello :
here is an solution
If f(x)=4^x-8 and g(x) =5x+6, find (f+g)(x)
Answers
Answer:
C
Step-by-step explanation:
(f + g)(x) = f(x) + g(x), then
f(x) + g(x)
= \(4^{x}\) - 8 + 5x + 6 ← collect like terms
= \(4^{x}\) + 5x - 2 → C
What is the interquartile range (IQR) of the data?
Answers
Answer:
15
Step-by-step explanation:
looks like quartile 3 is at 45
IQR is Q3-Q1 so 45-30 = 15
In Exercises 7–10, use the graph of the function to find the domain and range of f and each function value.
(a) f(−1)
(b) f(0)
(c) f(1)
(d) f(2)
Answers
The domain and range of the function are [-3, 3] and [-2, 4], respectively and The function values for (a) f(-1), (b) f(0), (c) f(1) and (d) f(2) are 0, -2, 4, and 3, respectively. The total number of words used is 163.
Given that the graph of the function is shown below, the domain and range of the function need to be determined along with finding the function values for (a) f(−1), (b) f(0), (c) f(1) and (d) f(2).Graph of the function:Graph of the function for the given graph of the function, we can observe that the domain of the function is from -3 to 3 as the graph is defined within these limits.In order to find the range of the function, we need to look at the range of the y-coordinates.
The minimum value of y is -2 and maximum value of y is 4.Range of the function: [-2, 4]a) f(-1) means the function value for x = -1. As we can observe from the graph, the point where x = -1 is on the graph of the function is (1, 0). Therefore, f(-1) = 0b) f(0) means the function value for x = 0. As we can observe from the graph, the point where x = 0 is on the graph of the function is (0, -2).
Therefore, f(0) = -2c) f(1) means the function value for x = 1. As we can observe from the graph, the point where x = 1 is on the graph of the function is (2, 4). Therefore, f(1) = 4d) f(2) means the function value for x = 2. As we can observe from the graph, the point where x = 2 is on the graph of the function is (3, 3). Therefore, f(2) = 3
Thus, the domain and range of the function are [-3, 3] and [-2, 4], respectively. The function values for (a) f(-1), (b) f(0), (c) f(1) and (d) f(2) are 0, -2, 4, and 3, respectively. The total number of words used is 163.
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