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Agri-small business limited expenses on petrol for their fleet is r 4 850.00 at the end of september and they have a balance of r106 360.00 remaining in their account. the company has used 25% of its september income on salaries, 11% on electricity, rates and taxes, and 42% of the remaining on insurance and investments. the total income and expenditure in september are
The total income and expenditure of Agri-small business limited in September is R 299596 and expenditure is R 193236.
Given that the expenses on petrol be R4850.00 at the end of September, balance is R 106360.00, usage on income of salaries be 25%, on electricity,rates and taxes be 11%, 42% of the remaining on insurance and investments.
We are required to find the total income and expenditure in September.
Generally the equation for insurance is mathematically given as :
Insurance=42% of the balance
Insurance=0.42*0.64A
Insurance=0.2688A.
Generally the equation for the total after all the other expenditures is mathematically given as:
Total expenditure after all other expenditures=0.64A-0.2688A
Total expenditures after all other expenditures=0.3712A.
Total expenditures after all other expenditures is as 111210 (106360+4850)
Equating both the equation and value:
111210=3712A
A=299596
The total income is 299596.
Therefore the calculation of expense is given as:
Expense=0.25A+0.11A+0.2688A+4850
Expense=0.6288A+4850
=0.6288*299596+4850
=193236
The expense is 193236.
Hence the total income and expenditure in September are "Income is R 299596 and expenditure is R 193236.
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The total income and expenditure of Agri-small business limited in September is R 299596 and expenditure is R 193236.
How to find the Expense?We have to find the total income and expenditure in September.
The equation for insurance is mathematically given as :
Insurance = 42% of the balance
Insurance=0.42*0.64A
Insurance=0.2688A.
Total expenditure after all other expenditures = 0.64A-0.2688A
Total expenditures after all other expenditures = 0.3712A.
Total expenditures after all other expenditures is as 111210 (106360 +4850)
Equating both the equation and value:
111210 = 3712 A
A = 299596
Thus The total income is 299596.
Therefore the calculation of expense is given as:
Expense=0.25A+0.11A+0.2688A+4850
Expense=0.6288A+4850
=0.6288*299596+4850
=193236
The expense is 193236.
Hence, the total income and expenditure in September are "Income is R 299596 and expenditure is R 193236.
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Ralph’s current annual income is $32,000. Using the graph shown below, Ralph has calculated that he will have to pay a total of $9,280 in federal taxes this year. Which of the following statements is true?
Answer:
c
Step-by-step explanation:
Ralph’s calculation is too high, as his calculation includes state taxes option (b) is correct.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Ralph’s current annual income is $32,000.
Total of $9,280 in federal taxes this year.
32000(0.24) = x
7680 = x
Thus, Ralph’s calculation is too high, as his calculation includes state taxes option (b) is correct.
a.
Ralph’s calculation is too high, he has only calculated state taxes.
b.
Ralph’s calculation is too high, his calculation includes state taxes.
c.
Ralph’s calculation is correct, he will have to pay $9,280 in federal taxes this year.
d.
Ralph’s calculation is too low, he did not include medical care in his calculation.What is gross pay.
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a histogram with the hills to the far left means the image is overexposed.
The statement "A histogram with the hills to the far left means the image is overexposed" is not accurate. In fact, a histogram with the hills to the far left indicates that the image is underexposed, not overexposed.
A histogram is a graphical representation of the distribution of pixel values in an image. It displays the frequency of occurrence of different tonal values. The horizontal axis represents the tonal values, while the vertical axis represents the frequency or number of pixels.
When the hills of the histogram are concentrated towards the left side, it means that a significant portion of the image has darker or lower tonal values. This indicates an underexposed image, where the exposure settings were insufficient to capture enough light, resulting in a darker overall appearance.
Conversely, an overexposed image would have the hills of the histogram concentrated towards the right side, indicating that a significant portion of the image has brighter or higher tonal values.
Therefore, the correct interpretation is that a histogram with the hills to the far left means the image is underexposed, not overexposed.
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Alessia uses her bank card to buy lunch 3 times. Each time she buys lunch, it costs $12.50. She then deposits $30 in her bank account. What is the change in her bank balance in dollars as a result of these transactions?
Answer: She has a $-7.50 balance
Step-by-step explanation: A = 3*12.5
A= 37.5
37.5-30= -7.5
Answer:
Her balance will be $7.50 in the red.
Step-by-step explanation:
expenses: (12.50)*3 = 37.50
funds added: 30
$30 - $37.50 = -$7.50
Eight shirts and six pairs of pants cost $726. Nine shirts and seven pairs of pants cost $831. Write a system of equations for the problem , using x as the cost of a shirt and y as the cost of a pair of pants.
Answer:
Step-by-step explanation:
8x + 6y = 726
9x + 7y = 831
56x + 42y = 5082
-54x - 42y = -4986
2x = 95
x = 47.50 Shirt
47.50(8) + 6y = 726
380 + 6y = 726
6y = 346
y = 57.67 pants
3x+2<11 please show work
Answer:
Step-by-step explanation:
3x+2<11
3x<9
3x/3<9/3
X<3
X=3
Answer:
X < 3
Step-by-step explanation:
if a rigid motion was used to transform Image A into Image B and then a rigid motion was used to transform Image B into Image C, would Imagine C have to be the same size and shape as Image A? Explain.
Answer:
Yes
Step-by-step explanation:
A rigid motion is a transformation that preserves the size and shape of the original image. A rigid motion was used to transform image A into image B and then a rigid motion was used to transform image B into image C.
The only change experienced by objects which undergo rigid motion or transformation is the relative change in the position of the objects such that the side which was upward before now face downward and other similar changes. Hence, objects which undergo rigid motion do not experience any change in size or shape.
Rigid transformation may occur in the form of rotation, reflection or translation. During rigid motion, the original shape and size of the object is preserved as the angles and side lengths are unaltered.Therefore, since the object A underwent rigid motion to form B, then B also underwent rigid motion to form C, we can conclude that the size and shape of image A will be preserved in image C.
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66. Mechanical Engineering A crossed belt connects
a 10-centimeter pulley on an electric motor with a
20-centimeter pulley on a saw arbor (see figure). The
electric motor runs at 1700 revolutions per minute.
(c) Let L be the total length of the belt. Write L as
a function of o, where is measured in radians.
What is the domain of the function? (Hint: Add the
lengths of the straight sections of the belt and the
length of the belt around each pulley.)
On solving the provided question, we cans ay that - the value of the each unit in this time will be from unitary method is 85.
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
here,
value of the 20 unit is 1700
value of the each unit will be 1700/20 = 85
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This sample is selected by dividing the population into subgroups and then taking a fixed number of units from each group using the simple random sample. simple random sample stratified random sample cluster random sample Voluntary random sample
The correct sampling method described in the question is a stratified random sample among the simple random sample, stratified random sample, cluster random sample and Voluntary random sample
The sampling method described in the question is a stratified random sample.
In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.
In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.
Other sampling methods mentioned in the question are:
Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.
Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.
Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.
Therefore, the correct sampling method described in the question is a stratified random sample.
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help please! find m∠bcf
Answer:
BCF = 140°
See attached image.
Answer:
m<BCF=140°
Step-by-step explanation:
first find m<BCD
m<BCD=180-50-90
m<BCD=40°.
to find m<BCF, we can do 180-m<BCD, since m<BCD and m<BCF add up to 180° (they form a straight angle)
180-m<BCD=m<BCF
180-40=m<BCF
m<BCF=140°
what is -1/-1 simplified
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Since -1 and -1 are both the same number, they cancel each-other out so the answer is one or 1.
Hope this Helps!!! :)
10. The Harlem Renaissance of the 1920’s could be described as:
a) a period when African Americans gained political leadership
b) a major urban renewal project providing new houses for African Americans
c) a time of increased recognition of African American athletes
d) a rebirth of African American culture as seen through the experiences of musicians and writers
Answer:
Answer is A.
Step-by-step explanation:
I'm pretty sure lmk if I'm wrong.
Reflect the triangle in the x-axis
I think this might helpful
Dinah went out to eat at a restaurant. She wants to leave the waitress a tip of 18%. She can determine the amount she should pay by adding the total amount of the bill (b) to 18% of b + 18% ×b. Which expression shows another way that dinah can calculate the total amount she will pay, Including tip? Help me plssss
Answer:
C. \(1.18b\)
Step-by-step explanation:
Hi! Ace here!
In order to do this, we have to convert 18% into a decimal.
The decimal form of it is .18.
So we have to do
\(b+.18b\)
Combine like terms:
\(1.18b\)
I hope this helped
Answer:
1.18b
Step-by-step explanation:
Remember: percentage = decimal × 100
total = b + 18% x b
Factor out b:
total = b x (1 + 18%) = b x (1 + 0.18)
total = b x 1.18 = 1.18b
HELP PLS GUYS ANYONE PLSSSSSS-h
Answer:
1 5/24
Step-by-step explanation:
5/6 + 3/8
LCM of 6&8=24
(5/6)*4 =20/24
(3/8)*3=9/24
20+9/24= 29/24
QRD(Quotuient,Reminder,Divisor)
= 1 5/24
B.
Answer:
The second option, 1 5/24
Step-by-step explanation:
First off, find da flipping LCD UnU
6: 6, 12, 18, 24, 30
8: 8, 16, 24, 32, 40
We find that it is 24 UwU
5 x 4 = 20
6 x 4 = 24
5/6 - > 20/24
3 x 3 = 9
8 x 3 = 24
3/8 - > 9/24
20/24 + 9/24 = 29/24
29 - 24 = 5
29 ÷ 29 = 1
1 5/24
Find the p-value for this test based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table)
a. xยฏxยฏ = 380; s = 39; n = 18
The p-value for this test is 0.012, which is the probability of observing a sample mean as extreme as 380 (or more extreme) if the null hypothesis were true.
If the significance level of the test was α = 0.05, for example, we would reject the null hypothesis since the p-value (0.012) is less than the significance level.
To find the p-value for this test, we first need to determine the appropriate test statistic. Since we do not know the population standard deviation, we will use a t-test. The test statistic is calculated as:
t = (X - μ) / (s / √n)
Where X is the sample mean, μ is the null hypothesis population mean, s is the sample standard deviation, and n is the sample size.
In this case, the null hypothesis might be that μ = 400 (for example, if we were testing whether the mean weight of a certain type of fruit was 400 grams). Using the given sample information, we can calculate the t statistic as:
t = (380 - 400) / (39 / √18) = -2.82
Next, we need to find the corresponding p-value from the t-distribution table. Looking at the table with 17 degrees of freedom (since n - 1 = 18 - 1 = 17), we find that the p-value for a two-tailed test with a t-value of -2.82 is approximately 0.012.
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as you consider the various factors involved in starting a group, what is the most important factor you have to judge?
As you consider the various factors involved in starting a group, the most important factor you have to judge is the group's purpose or goal.
Step 1: Identify the group's purpose or goal - This is crucial because it will guide all other decisions, including membership criteria, communication methods, and meeting schedules.
Step 2: Assess the needs and resources of potential members - This will help you understand their motivations and ensure the group can support their needs while accomplishing its goal.
Step 3: Establish clear membership criteria and expectations - This will ensure that everyone in the group is on the same page and committed to the same goals.
Step 4: Choose an appropriate communication method - This will facilitate smooth and efficient communication among group members.
Step 5: Develop a meeting schedule that works for all members - Regular meetings help keep the group on track and provide opportunities for collaboration and feedback.
By focusing on the group's purpose or goal, you can create a solid foundation for a successful and productive group.
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select all that apply. the central limit theorem tells us that as the sample size gets larger, group of answer choices the mean of the sampling distribution becomes equal to the population mean. the standard error of the mean decreases in size. the closer the sample means will be to the population mean. the sample statistics clusters away from the population parameter.
The central limit theorem tells us that as the sample size gets larger, the closer the sample means will be to the population mean.
What is defined by the Central Limit Theorem?The Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\).
For the sampling distribution, the mean and the standard deviation are given as follows:
Mean: \(\mu\), that is, the same as the population mean.Standard deviation: \(s = \frac{\sigma}{\sqrt{n}}\), which is the population standard deviation divided by the square root of the sample size.The standard error decreases with the sample size, meaning that the closer the sample means will be to the population mean.
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If 2 chipmunks take 12 hours to stash a pile of nuts, how many hours will it take 3 chipmunks to stash the nuts? HELP I WILL MARK BRAINLEST
Answer:
8 hours
Step-by-step explanation:
are you doing the rsm principal test too?
test the series for convergence or divergence. 4 5 − 4 7 + 4 9 − 4 11 + 4 13 −
Therefore, the series 4/5 - 4/7 + 4/9 - 4/11 + 4/13 - ... is convergence in nature.
To test the convergence or divergence of the given series: 4/5 - 4/7 + 4/9 - 4/11 + 4/13 - ..., we can use the alternating series test. The alternating series test states that if a series has the form (-1)^n b_n, where b_n is a positive sequence that is decreasing and approaches zero as n approaches infinity, then the series converges.
In the given series, we have b_n = 4/(2n+3), which is a positive sequence that approaches zero as n approaches infinity. To see that b_n is decreasing, we can note that b_{n+1}/b_n = 2(2n+3)/(2n+5) < 1 for all n, since the numerator is always less than the denominator. Therefore, b_n is a positive, decreasing sequence that approaches zero as n approaches infinity.
Furthermore, the series has the form (-1)^n b_n, where the sign alternates between positive and negative. Therefore, we can apply the alternating series test, which tells us that the series converges.
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Find the relationship between zeros and intercepts of the polynomial m2 + 5m + 4.
They are equal to zero
They are same
They are different
They are opposites
The zeros and intercepts of the polynomial m^2 + 5m + 4 will be different.
Intercepts and zero of a functionA quadratic function is a function that has a degree of 2.
Given the following equation
f(m) = m^2 + 5m + 4
The x-intercept occurs at the point where f(m) is zero and same is applicable to the zeros of the function.
This shows that the zeros and intercepts of the polynomial m^2 + 5m + 4 will be different.
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find an example of a commutative ring R with 1 in R, and a prime ideal P (of R) with no zero divisors but R is not an integral domain.
An example of a commutative ring R with 1, a prime ideal P, and no zero divisors but R is not an integral domain is the ring R = Z/6Z, where Z is the set of integers and 6Z is the ideal generated by 6.
The ring R = Z/6Z consists of the residue classes of integers modulo 6. The elements of R are [0], [1], [2], [3], [4], and [5], where [a] denotes the residue class of a modulo 6.
In this ring, addition and multiplication are performed modulo 6. For example, [2] + [3] = [5] and [2] * [3] = [0].
R has a multiplicative identity, which is the residue class [1]. It is commutative since addition and multiplication are performed modulo 6.
The ideal P = 2R consists of the elements [0] and [2]. P is a prime ideal since R/P is an integral domain, which means there are no zero divisors in R/P. However, R itself is not an integral domain because [2] * [3] = [0] in R, showing that zero divisors exist in R.
Therefore, the ring R = Z/6Z, with the prime ideal P = 2R, satisfies the given conditions.
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Use the LCD to rewrite 47 and 310 with the same denominator.
Answer:
i dont have a answer but i need this one too
Step-by-step explanation:
solve each inequality and graph the solution
5+ x <12
Answer:
Inequality Form:
x<7
Interval Notation:
(−∞,7)
Step-by-step explanation:
plz give brainlyest
it says, which number line illustrates 11.92? If u need to, press on the pic and ABCD answers are there! but can someone help me? tysm
Answer: A
Step-by-step explanation:
The yellow dot is two markers to the right of 11.9. The next highest marked line is 12.0, and there are 10 marks between 11.9 and 12.0, so each represents 0.01 of a unit. Figure A shows the dot at 11.9 + 2 markers at 0.01 each:
11.9 + 2*(0.01) = 11.92
Use the Index Laws to solve the following equations:
a) 9^4(2y+1) = 81
b) (49^(5x−3)) (2401^(−3x)) = 1
(a) Using the Index Law for multiplication, we can simplify the equation 9^4(2y+1) = 81 as follows:
9^4(2y+1) = 3^2^4(2y+1) = 3^8(2y+1) = 81
Since both sides have the same base (3), we can equate the exponents:
8(2y+1) = 2
Simplifying further:
16y + 8 = 2
16y = -6
y = -6/16
Simplifying the fraction:
y = -3/8
Therefore, the solution to the equation is y = -3/8.
(b) Using the Index Law for multiplication, we can simplify the equation (49^(5x−3)) (2401^(−3x)) = 1 as follows:
(7^2)^(5x-3) (7^4)^(3x)^(-1) = 1
7^(2(5x-3)) 7^(4(-3x))^(-1) = 1
7^(10x-6) 7^(-12x)^(-1) = 1
Applying the Index Law for division (negative exponent becomes positive):
7^(10x-6 + 12x) = 1
7^(22x-6) = 1
Since any number raised to the power of 0 is 1, we can equate the exponent to 0:
22x - 6 = 0
22x = 6
x = 6/22
Simplifying the fraction:
x = 3/11
Therefore, the solution to the equation is x = 3/11.
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will mark brainliest ~ Select the correct answer. Which function is the inverse of f(x)= x^2 – 16 if the domain is
\(x \geqslant 0\)
Step-by-step explanation:
y = x² - 16
x² = y + 16
x = sqrt(y + 16) as x is non-negative.
Therefore f^-1(x) = sqrt(x + 16). (A)
Answer:
the answer is A
Step-by-step explanation:
Solve for x |2x+1|=-13
Answer:
no solution
Step-by-step explanation:
Your question is in the form:
absval of something
= a NEGATIVE number
The absolute value is always positive. So it can never be negative.
There are no values that x can be that will make this math sentence true.
It's not really a trick question, but the course/teacher/book/program just wants you to recognize that an absolute value CANNOT be negative.
A spinner Is divided into elght equal sections. Each section is labeled with one number, from 1-8. Maggle spins the
pointer on the spinner five times, each at a different speed. Four of the times the pointer lands on the section labeled 7.
Which statement BEST explains these results?
The section labeled 7 is slightly bigger than the other sections
The bottom of the spinner is not flat.
The section labeled 7 appears more than once on the spinner.
The pointer of the spinner is not balanced.
Answer:
Step-by-step explanation:
The bottom of the spinner is not flat.
Fill in the table of values for the equation y=x+2
Answer:
(-5,-3) (0, 2) (3,5)
Step-by-step explanation:
Just plug the x values into the equation.
-5+2=-3
0+2=2
3+2=5