wht is the ending balance of R341000 at 4% for 3 years?
Answers
The ending balance for a amount of Rs. 341,000 with a interest rate of 4% for the time period of 3 years is Rs. 381920.
What is interest?
In the fields of finance and economics, interest is the payment made at a set rate by a borrower or deposit-taking financial institution to a lender or depositor in excess of the principal amount (the amount borrowed).
Information given in the question,
Principle amount = 341,000
Time period = 3 years
Interest rate is 4 % which can be written as 0.04 in decimals.
We can calculate the ending balance using this formula formula for simple interest:
\(S.I. = Principle \times Interest \times time\)
Putting the values given in the question
S.I. = (341000)(0.04)(3)
S.I. = 40,920
Interest is 40,920.
The ending balance is the sum of Principle amount and Interest. So,
ending balance = 341000+40920
ending balance = 381920
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Related Questions
can someone help me solve F(x) = -9x-5
Answers
Answer:
Step-by-step explanation:
What you've provided is only a function. What's the complete question?
Kiley had a piece of bamboo skewer that measured 14Three-fifths inches long. She wanted to cut it into toothpicks that were each 3One-fifth inches long. How many toothpicks can she make? 4 toothpicks 5 toothpicks 46 toothpicks 47 toothpicks
Answers
Answer:
Answer is (4 )
9/16 (i turned 14 3/5 into decimal form, as well as 3 1/5 then i simply divided it and turned it back into a fraction!
Step-by-step explanation:
Answer:
its 4 ( I checked and everything
Step-by-step explanation:
To support a triangular kite, Hana
attaches thin strips of wood from each vertex
perpendicular to the opposite edge. She
then attaches the kite's string at the point
of concurrency. To calculate the point of
concurrency, she determines the coordinates
of each vertex on a coordinate plane. What
are the coordinates where the wood strips
cross? Round your answer to the nearest
hundredth.
Answers
The circumcenter of the triangle is at the point (22, 36). This is the point where the three thin strips of wood cross and where Mike attached the kite's string.
How to calculate the circumcenter of the triangle ?The point of concurrency of the lines perpendicular to the sides of a triangle is known as the circumcenter of the triangle. To find the circumcenter of a triangle with vertices at (x1, y1), (x2, y2), and (x3, y3), you can use the following formula:
x = (x1 + x2 + x3) / 3
y = (y1 + y2 + y3) / 3
Plugging in the coordinates of the three vertices, we get:
x = (0 + 44 + 0) / 3 = 22
y = (58 + 36 + 0) / 3 = 36
So the circumcenter of the triangle is at the point (22, 36).
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Convert 20341 base 5 into decimal system (also verify )
Answers
\((20341)_5\\\\=(2 \times 5^4 + 0 \times 5^3 + 3 \times 5^2 +4 \times 5^1 +1\times 5^0)_{10}\\\\=(2 \times 625+0+3 \times 25 +20 +1)_{10}\\\\=(1250+75+21)_{10}\\\\=(1346)_{10}\)
sharon wilson is single and has health insurance benefits as shown in the tabled her recent network health care costs inclued hospital surgery she made co payments for 15 physical therapy visits at $95 each and she had 5 co payments for local pharmacy 2 generic and 3 brand name drugs her hospital admission charge was $240 and she had a hospital bill for $54,869 find the amount she paid
Answers
sharon wilson is single and has health insurance benefits as shown in the tabled her recent network health care costs include hospital surgery. The amount she paid is: $56,844.
What is insurance benefits?A policy that represents an insurance contract provides the policyholder with financial protection or payment from an insurance firm against losses. In order to make payments to the insured more manageable, the firm combines the risks of its clients. The degree of financial protection you receive from insurance is known as coverage. The medical services your plan covers are known as benefits.
The SBC provides a quick overview of a health plan's pricing, advantages, covered medical treatments, and other crucial aspects for customers. SBCs often offer clear explanations of important coverage restrictions and exclusions, as well as special aspects of health plans including cost sharing policies.
Total amount paid = (15 × $95) + ($5 × 2) + ($240 × 3) + $54,869
Total amount paid = $56,844
So, the amount she paid is: $56,844.
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How do you solve a binomial expression?
Answers
To solve a binomial expression, use the FOIL (First, Outer, Inner, Last) method to multiply the two terms together. Then use the distributive property to simplify the expression and combine like terms.
1.Identify the two terms of the binomial expression and write them in the correct order.
2. Use the FOIL method to multiply the two terms together:
the first term of each binomial is multiplied together first.
Outer: Divide the second term of the second binomial by the first term of the first binomial.
Multiplying the first term of the second binomial by the second term of the first binomial yields the inner product.
Lastly, combine the second terms of each binomial.
3. To make the expression simpler, use the distributive property.
4. Combine like terms, if applicable.
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What is the slope of a line if x equals (-2 and y equals 4?
Answers
Answer:
can't be determined unless you give two points which is two sets of x and y points
The table below shows the heights of players on a high school's football and basketball teams. what is the probability that the player selected will be 6'1 or shorter
Answers
Complete each statement with x or y .
a. You use __-values to compute the amplitude of a function.
Answers
The amplitude of a function is determined by analyzing the y-values of the graph and calculating the difference between the highest and lowest points on the graph.
You use y-values to compute the amplitude of a function. The amplitude of a function is the maximum distance between the function's graph and its midline. It is measured by finding the difference between the highest and lowest y-values of the function. By examining the graph of the function and determining the highest and lowest points on the graph, you can find the amplitude.
To find the amplitude, first, identify the maximum and minimum y-values of the function. Then, subtract the minimum value from the maximum value to calculate the amplitude. Keep in mind that the amplitude is always positive and represents the vertical distance between the midline and the peak or trough of the function.
For example, if the highest point on the graph is y = 5 and the lowest point is y = -3, the amplitude would be 5 - (-3) = 8.
In summary, the amplitude of a function is determined by analyzing the y-values of the graph and calculating the difference between the highest and lowest points on the graph.
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On a quiz there are four multiple-choice questions worth 3 points each and two true/talse questions
worth 1 point each. Each multiple-choice question has five possible choices. If a student randomly
guesses on each question, what is the expected value of the student's score on the test?
Answers
Using proportions, it is found that the expected value of the student's score on the test is of 3.4 points.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, there are four multiple choice questions, with five options, worth 3 points each, hence the expected score for the multiple choice questions is given by:
Em(X) = 4 x 1/5 x 3 = 12/5 = 2.4.
There are also two true-false questions(two options), worth 1 points, hence the expected score for the two true-false questions is given by:
Etf(X) = 2 x 1/2 x 1 = 1.
Then, the total expected score is given by:
E(X) = Em(X) + Etf(X) = 2.4 + 1 = 3.4.
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The sides of a triangular plot are in the ratio
of 3:5:7 and its perimeter is 300m
find it's area
Answers
Answer:
The area of the triangular plot having a perimeter of 300 m and sides in the ratio 3:5:7 is 2598.08 m².
Step-by-step explanation:
What is area?
The area of a two- dimensional figure is defined as the total space covered by it.What is perimeter?
The perimeter of any geometrical figure is defined as the sum of the length of its sides, or the total length of the boundary delimiting the figure.Solution:
It is given that :
The perimeter of the triangle = 300m.The ratio of its sides = 3 : 5 : 7Let the length of the three sides be 3x m, 5x m, and 7x m respectively.
∴ 3x + 5x + 7x = 300
Or, 15 x = 300
Or, x = 20.
∴ The sides of the triangular plot are
3x = 60 m5x = 100 m7x = 140 mNow, if the perimeter and the length of the sides are known, then the area of a triangle can be calculated using the formula:
Area = \(\sqrt{s ( s- a )( s- b)(s - c)}\)
where s = semi-perimeter of the triangle,
a, b, c = length of the three sides of the triangle
Here, s = 300 ÷ 2 = 150 m.
∴ Area of the triangular plot = \(\sqrt{150 (150-60)(150-100)(150-140)}\)m²
= \(\sqrt{150 * 90 * 50 * 10}\) m²
= √675x\(10^{4}\) m²
≈ 2598.08 m².
Thus the area of the triangular plot is 2598.08 m².
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What is an equation of the line that passes through the point (-5,-4) and is perpendicular to the line 5x+6y=36
Answers
Answer:
y = 6/5x + 2
Step-by-step explanation:
First let's fix this equation
5x + 6y = 36 (subtract 5x on both sides)
6y = -5x + 36 (divide by 6 on both sides)
y = -5/6x + 6
NOW
The perpendicular slope of this equation is 6/5
Now we have to plug in (-5,-4) to get the y-intercept
-4 = 6/5(-5) + b (distribute 6/5 to -5) (b represents the y-intercept)
-4 = -6 + b (add 6 on both sides)
2 = b
So your equation is...
y = 6/5x + 2
HOPE THIS HELPED!!!!!
at
Question:
The current (in amps) in a simple
electrical circuit varies inversely to
the resistance measured in ohms.
The current is 24 amps when the
resistance is 20 ohms. Find the
current (in amps) when the
resistance is 12 ohms.
Please help
Answers
The current in amps when the resistance is 12 ohms is 40 amps.
Explain resistance
Resistance is the measure of how much a material or object opposes the flow of electric current through it. It is a property that determines how much voltage is needed to drive a given current through the material and is measured in ohms. Resistors are components used to control the resistance in an electrical circuit.
According to the given information
We know that the current (I) varies inversely with the resistance (R), so we can write:
I = k/R
24 = k/20
Multiplying both sides by 20, we get:
k = 480
Now we can use this value of k to find the current when the resistance is 12 ohms:
I = 480/12
I = 40
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Pls help with the answer for the question given below
Answers
The columns of two matrices are combined to create a new matrix, which is known as an augmented matrix.
What is meant by augmented matrices?An augmented matrix for a system of equations is a matrix of numbers where each column contains all the coefficients for a single variable and each row represents the constants from one equation (both the coefficients and the constant on the other side of the equal sign).
The columns of two matrices are combined to create a new matrix, which is known as an augmented matrix. When using matrices to solve straightforward linear equations, the augmented matrix is a crucial tool. The number of variables in the linear equation is the same as the number of rows in the augmented matrix.
Therefore, the correct answer is option A.
\($\left[\begin{array}{cccc}2 & -3 & 1 & -5 \\ 4 & -1 & -2 & -7 \\ -1 & 0 & 2 & -1\end{array}\right]$\)
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a) measure angle x.
b) use your answer from a) to work out the value of angle y.
Answers
Generally, using a protractor we see x to be an angle 32 degrees
Hence, we solve
since the angle in point is given by 360 and x=35
Therefore
y=360-x
y=360-32
y=328 degrees
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The measure of angle x would be 35° and the measure of angle y would be 325°
Calculating the measure of anglesFrom the question, we are to determine the measures of angle x and angle y.
The measure of angle x can be determined with the aid of a protractor.
From the given diagram, we can observe that angle x is an acute angle. That is, the measure of angle x is less than 90°.
After determining the measure of angle x by using a protractor, for example, let us say the measure of angle x is 35°.
We can determine the measure of angle y by using the sum of angles at a point theorem.
Sum of angles at a point is 360°.
Thus, we can write that
x + y = 360°
Then,
35° + y = 360°
y = 360° - 35°
y = 325°
Hence, the measure of x = 35° and the y = 325°
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S is a geometric sequence.
a) (1x + 1), 1 and (rootx - 1) are the first three terms of S.
Find the value of x.
You must show all your working.
b) The 5 term of S can be written in the form a V2 + b
where a and b are integers
Find the value of a and the value of b
Answers
Answer: your answer would be 2
Step-by-step explanation:
Which point represents the approximate location of √23?
A) point A
B) point B
C) point C
D) point D
Answers
Answer:
A
Step-by-step explanation:
√23 is 4.795
So point A
Given the following scatterplot, if a point was added in the upper left corner with an x-value of 10 and ay-value of 20, what would happen to the value of the correlation coefficient, r?
Answers
The upper left corner with an x-value of 10 and a y-value of 20 to the given scatterplot would likely decrease the value of the correlation coefficient, r.
The correlation coefficient, r, measures the strength and direction of the linear relationship between two variables. It ranges from -1 (perfect negative correlation) to 1 (perfect positive correlation), with 0 indicating no correlation. In a scatterplot, points that are closer to forming a straight line indicate a stronger linear relationship, while points that are more scattered indicate a weaker linear relationship.
In the given scatterplot, adding a point in the upper left corner with an x-value of 10 and a y-value of 20 would likely introduce an outlier that deviates from the overall pattern of the data. This outlier would be located far away from the other points, potentially causing the scatterplot to become more scattered and less linear. As a result, the linear relationship between the two variables, as measured by the correlation coefficient, r, would likely decrease. This is because the outlier would have a disproportionate influence on the calculation of the correlation coefficient, pulling it closer to 0 or even changing the direction of the correlation, if the outlier introduces a different pattern to the data.
Therefore, adding a point in the upper left corner with an x-value of 10 and a y-value of 20 to the given scatterplot would likely decrease the value of the correlation coefficient, r.
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a manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 436 436 gram setting. is there sufficient evidence at the 0.1 0.1 level that the bags are underfilled or overfilled? assume the population is normally distributed. state the null and alternative hypotheses for the above scenario.
Answers
The null hypothesis and alternative hypothesis for the given data is equal to H0: μ = 436 and Ha: μ ≠ 436.
Weight of the bag filled with machine works = 436 grams
The null hypotheses for the bag filled with machine work will be the statement of no effect
And it'll be the mean weight of the bag which is equal to 436grams.
Null hypothesis is equal to ,
H0: μ = 436
The alternative hypotheses for the above scenario representing that the bag isn't filled with 436grams.
They are either less filled or that is below 436grams or overfilled that is above 436grams.
Alternative hypothesis is equal to,
Ha: μ ≠ 436
Statistics is the study of surveys and research on numerical data.
Two different kinds of hypotheses.
A null hypothesis is one that holds true.
And an alternate hypothesis is another.
The null hypothesis is a default condition which represents there is nothing happening.
If there is no relationship between two given measured between groups.
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a certain species of deer Is to be introduced Into a forest Wildlife experts estimate The population will grow to P(t)= (988)3 1/2 where t where represents The number of years from the time of introduction.How long will it take for the population to reach 26676 deer according to this model?
Answers
Using exponential function it will take approximately 2.6 years for the population to reach 26676
Exponential FunctionExponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). An exponential function can be in one of the following forms.
The formula given in this question is
P(t) = 988(3.5)ˣ
x = number of years from time of introductionThe time it will take to reach a population of 26676 is
26676 = 988(3.5)ˣ
x = 2.6 years
It will take approximately 2.6 years
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3/4 x 8/1 in the simplestform
Answers
Answer:
6
Step-by-step explanation:
\(\frac{3}{4}*\frac{8}{1} = \frac{24}{4} = \frac{6}{1} = 6\)
Answer:
6
Step-by-step explanation:
3/4x8/1 simply we can change 8/1 to just 8 because 1 goes into 8 8 times sowe can multiply 3/4 by 8 to get 24/4and 4 goes into 24 6 times so the answer is 6/1 or 6
Multiply the binomials and simplify your answer. (2x+9)(3x-5)
Answers
Answer: =6x^2+17x−45
Step-by-step explanation:
=(2x+9)(3x+−5)
=(2x)(3x)+(2x)(−5)+(9)(3x)+(9)(−5)
=6x2−10x+27x−45
=6x2+17x−45
Answer:
\(6x^{2} -17x-45\)
Step-by-step explanation:
Use distribution then combine like-terms to simplify
Which of the following shows 2 + (x + 3y) rewritten using the Associative Property of Addition? (3 points)
Group of answer choices
A. 2 + x + 3y
B. (2 + x) + 3y
C. 2x + (3 + y)
D. x + (2 + 3y)
Answers
The ratio of green M & M's to yellow is 2:5
a. If there are only green and yellow M & M's in the bag, what is the smallest number of M & M's possible?
b. If there are 84 total green and yellow M & M's in the bag, how many are green?
c. If red M & M's were added to the bag in part b to get a total of 100, what is the ratio of green to yellow to red in simplest form? (enter ratio as green:yellow:red)
:
:
Answers
a. The smallest number of M & M's possible is 14.
b. The number of green is 24.
c. The ratio of green to yellow to red in 6: 15: 25.
How to calculate the value?a. When there are only green and yellow M & M's in the bag, the smallest number of M & M's possible will be:
= (2 × 2) + (2 × 5)
= 4 + 10
= 14
b. If there are 84 total green and yellow M & M's in the bag, the number of green will be:
= 2 / (2 + 5) × 84
= 2/7 × 84
= 24 green
c. If red M & M's were added to the bag in part b to get a total of 100, the ratio of green to yellow to red in simplest form will be:
= Green : Yello : Red
= 24 : 60 : 100
= 6 : 15 : 25
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Solve for x
Solve for x
Solve for x
Solve for x
Answers
2x=98
x=49
answer is x=49
X=49°
Step-by-step explanation:
we have an isosceles triangle
thus our equation is
x+x+82=180°
=>2x+82°=180°
cancel 82 from both sides
=>2x=98
divide both sides by 2
therefore
X=49
what should be done to both sides of the equation in order to solve 1/3 x = 4? multiply by 4, divide by 4, multiply by 1/3, divide by 1/3
Answers
Answer:
Divide 1/3
Step-by-step explanation:
To get rid of the 1/3 fraction on x, we want to multiply by 3 or divide by 1/3
Answer:
divide by 1/3
Step-by-step explanation:
Explanation please...........
Answers
Answer:
my school
Step-by-step explanation:
block me from sieng the image
Answer:
answer: Hi = 15
Step-by-step explanation:
the larger shape is the same as the smaller shape just flipped over and bigger of course so to find this out you have to take 2 simular angles and find out what multiplied by the small angle will get the big angle so I see angles gh and ba are simular I try 4.5 ÷ 1.5 = 3 so 3 is how much the shape is being multiplied by so bc is simular to hi so I do 5 x 3 = 15 and theres are answer 15 is the length of hi hope this helps you!
Compare the algebraically expressed function f(x) = 3x2 + 6x + 7 to the function shown in the graph to determine which statement is true.
Answers
Answer:
The answer is D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
factor the following terms9x^2-81
Answers
The given expression:
\(9x^2-81\)The expression can be written as :
\(9x^2-81=9x^2-9\times9\)Take 9 common :
\(9x^2-81=9(x^2-9)\)Since 3 x 3 = 9
\(9x^2-81=9(x^2-3^2)\)Apply the property of factorization:
\((a^2-b^2)=(a+b)(a-b)\)So, the expression can be written as :
\(9x^2-81=9(x-3)(x+3)\)So, the factorization is : 9(x + 3) (x - 3)
Answer :
\(9x^2-81=9(x-3)(x+3)\)
In the following figure, the value of x is ?
Answers
Step-by-step explanation:
Using SOH CAH TOA
sin#=opp/hyp
sin35=x/20
20sin35=x
x=11.4715
x=11.5