A sum of 750 is borrowed for 10 months at an interest rate of 5% per month. What is the amount
payable at the end of 10 months?
₹
Answers
The amount payable at the end of 10 months = ₹1,123.50
What is annual interest rate?
An annual percentage rate is expressed as an interest rate. It calculates what percentage of the principal you'll pay each year by taking things such as monthly payments into account.
P= 750
t= 10 months = 10/12 years= 0.83 years
r=5% per month = 5*12 per year= 60% per year
Formula:
A = P(1 + rt)
convert r in percent to r in decimal
r = 60%/100 = 0.6 per year.
A = 750(1 + (0.6 × 0.83)) = 1123.5
A = ₹1,123.50
Thus, the amount payable at the end of 10 months = ₹1,123.50
To learn more about annual interest rate here
brainly.com/question/17088238
#SPJ1
Related Questions
6) The rectangle below has a perimeter of 46. Find its area:
Answers
Answer:
Step-by-step explanation:
Perimeter= 46
Area of rectangle= Length * Width
Ratio = 2 : 1
= Length= 2/3 * 46 = 30.6/2 = 15.3
Width = 1/3 * 46 = 15.3/2 = 7.65
Area= 117.045
Use the table to predict the number of times you will soon 5 when you spin the spinner 100 times.
*help please!*
Answers
Answer:
14 times
Step-by-step explanation:
9+11+7+9+7+7=50 times
When the spinner is spun if 5 is picked 7 times out of 50
50*2=100 so you must do 7*2
7*2=14
14 times
in exercises 21–26, write as an iterated integral for the shaded region r
Answers
To write the iterated integral for the shaded region r in exercises 21-26, we need to use the concept of double integrals. A double integral is a type of iterated integral that allows us to integrate over a two-dimensional region.
The iterated integral for the shaded region r can be written as:
∫∫r f(x,y) dA
where f(x,y) is the function we are integrating and dA represents the infinitesimal area element.
To evaluate the double integral, we can use either the row-first or column-first method. The row-first method involves fixing the value of y and integrating with respect to x first, while the column-first method involves fixing the value of x and integrating with respect to y first.
For example, in exercise 21, the shaded region r is the rectangle with vertices (0,0), (0,2), (3,2), and (3,0). If we want to integrate the function f(x,y) over this region, we can write the iterated integral as:
∫0^3 ∫0^2 f(x,y) dy dx
This means we first integrate f(x,y) with respect to y from y=0 to y=2, and then integrate the resulting expression with respect to x from x=0 to x=3.
Similarly, we can write the iterated integral for the shaded region r in exercises 22-26 using the same concept of double integrals.
Learn more about two-dimensional here :-
https://brainly.com/question/10384363
#SPJ11
A recipe requires 1/4 cup of oil for every 2/3 cup of water. How much oil (in cups) is needed per cup of water?
Answers
Answer:
To determine the amount of oil needed per cup of water, we need to find the ratio between the oil and water quantities given in the recipe.
According to the recipe:
1/4 cup of oil is required for every 2/3 cup of water.
To find the amount of oil needed per cup of water, we can set up a proportion:
1/4 cup of oil / 2/3 cup of water = x cups of oil / 1 cup of water
To solve for x, we can cross-multiply and then divide:
(1/4) * (1 cup of water) = (2/3) * (x cups of oil)
1/4 = (2/3) * (x cups of oil)
To isolate x, we can multiply both sides of the equation by the reciprocal of (2/3), which is (3/2):
(1/4) * (3/2) = (2/3) * (x cups of oil) * (3/2)
3/8 = (2/3) * (x cups of oil) * (3/2)
Now, let's simplify the equation:
3/8 = x/1
x = 3/8
Therefore, per cup of water, you would need approximately 3/8 cups of oil.
Step-by-step explanation:
Twice the difference of a number and 4 is 7
Answers
Answer:
5
Step-by-step explanation:
Multiply this question
Answers
The solution to the multiplication of the square roots are;
6√5 by 2√7 = 12√352√7 by 6√5 = 12√35√10 by √30 = 10√3How to multiply square roots?6√5 by 2√7
= 6×2√5×7
= 12√35
2√7 by 6√5
Multiply the square root separately
= 2×6√7×5
= 12√35
√10 by √30
= √300
To find the multiplication of perfect square of 300
= √100 × 3
Root 100 = 10
= 10√3
Hence, the multiplication of √10 by √30 is 10√3.
Read more on the multiplication of roots:
https://brainly.com/question/11850665
#SPJ1
How many combinations of the numbers 1 through 10, using only 5 integers, can combine to add up to 15
Answers
The total number of combinations of the numbers 1 through 10, using only 5 integers, that can combine to add up to 15 is the product of the number of ways in which we can choose 5 integers out of 10 and the number of ways in which we can divide these 5 integers into 4 parts such that their sum is 15. This is equal to 252 × 21 = 5292. The total number of combinations is 5292.
We can use a combination formula which is given by C(n,r) = n! / (r! * (n-r)!).Here, n is the total number of integers available (10 in this case) and r is the number of integers we are choosing (5 in this case).So, we can choose any 5 integers out of 10 in C(10,5) ways which is equal to 252.
Then, we need to find the number of ways in which these 5 integers can combine to add up to 15. We can use a stars and bars method to do that.Let's assume that we have 5 stars representing the 5 integers we chose. Now, we need to divide these stars into 4 parts using 3 bars, such that the sum of stars on the left of the first bar, between the first and second bars, between the second and third bars, and on the right of the third bar, adds up to 15.Each bar divides the stars into two groups.
So, we can say that we are placing 3 identical objects (bars) in a row of 5 identical objects (stars). Using a combination formula, the number of ways in which we can place 3 identical objects in a row of 5 identical objects is C(5+3-1, 3-1) = C(7, 2) = 21.So, the total number of combinations of the numbers 1 through 10, using only 5 integers, that can combine to add up to 15 is the product of the number of ways in which we can choose 5 integers out of 10 and the number of ways in which we can divide these 5 integers into 4 parts such that their sum is 15.
Learn more about integers here,
https://brainly.com/question/490943
#SPJ11
Using a cutoff value of 0.5 to classify a profile observation as interested or not, construct the confusion matrix for this 40-observation training set.
Answers
Since the training set consists of 40 observations, you would need to fill in the counts for each category based on the actual classifications made by the model using the 0.5 cutoff value.
To construct the confusion matrix for a 40-observation training set, we need to use a cutoff value of 0.5 to classify each profile observation as either interested or not interested. The confusion matrix is a tool that shows the performance of a classification model.
Let's denote the four possible outcomes as follows:
- True Positive (TP): The model correctly classified an observation as interested.
- True Negative (TN): The model correctly classified an observation as not interested.
- False Positive (FP): The model incorrectly classified an observation as interested when it was actually not interested.
- False Negative (FN): The model incorrectly classified an observation as not interested when it was actually interested.
Since we have a cutoff value of 0.5, any observation with a prediction score above or equal to 0.5 will be classified as interested, while any observation with a prediction score below 0.5 will be classified as not interested.
Based on this information, we can construct the confusion matrix:
Predicted Interested Predicted Not Interested
Actually Interested TP FN
Actually Not Interested FP TN
Note that the values TP, TN, FP, and FN are counts of observations falling into each category.
In your case, since the training set consists of 40 observations, you would need to fill in the counts for each category based on the actual classifications made by the model using the 0.5 cutoff value.
Learn more about training set here :-
https://brainly.com/question/942454
#SPJ11
In a theatre, two attached spotlights make an angle of 100'. One shines on Ben, who is 30.6 feet away. The other shines on Mariko, who is 41.1 feet away. How far apart are Ben and Mariko?
Answers
By using trigonometric principles, we can determine the distance between Ben and Mariko in the theater.
To find the distance between Ben and Mariko, we can use the law of cosines. Let's consider the triangle formed by the spotlights and the line connecting Ben and Mariko. The angle between the spotlights is 100', and the distances from each spotlight to Ben and Mariko are given.
Using the law of cosines, we have the equation:
c^2 = a^2 + b^2 - 2ab*cos(C)
Where c represents the distance between Ben and Mariko, a is the distance from one spotlight to Ben, b is the distance from the other spotlight to Mariko, and C is the angle between a and b.
Plugging in the values, we get:
c^2 = (30.6)^2 + (41.1)^2 - 2 * 30.6 * 41.1 * cos(100')
Evaluating the right side of the equation, we find:
c^2 ≈ 939.75
Taking the square root of both sides, we obtain:
c ≈ √939.75
Calculating this value, we find that the distance between Ben and Mariko is approximately 54.9 feet.
Learn more about square root here:
https://brainly.com/question/29286039
#SPJ11
A study is done to determine the attitudes of male university students towards careers. The researcher interviews 100 of the male students enrolled in a first-year course at the university. What is the sample in this situation?
all university students
male university students
the male students taking this course
the 100 male students interviewed
Answers
Answer:
I need the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
The sample is the part of the population that somebody wants to study. therefore, the sample is the 100 male students interviewed
A boy jumps from a wall 3 m high. What is an estimate of the change in momentum of the boy when he lands without rebounding
Answers
Estimated change in momentum of the boy after he lands without rebounding is equal to 0 kgm/s approximately.
Height of the wall = 3meters
To estimate the change in momentum of the boy when he lands without rebounding,
Use the principle of conservation of momentum.
The change in momentum of an object is equal to the product of its mass and the change in velocity.
Here, the boy's mass is not given, but we can assume it to be negligible compared to the change in velocity.
This implies, focus on the change in velocity alone.
When the boy jumps from a wall 3m high, he undergoes free fall due to gravity.
The final velocity of an object in free fall can be calculated using the equation,
v² = u² + 2as,
where,
v = final velocity (unknown)
u = initial velocity (0 m/s, as the boy jumps from rest)
a = acceleration due to gravity (-9.8 m/s²)
s = displacement (3 m, height of the wall)
Rearranging the equation, we get,
⇒ v² = 0 + 2(-9.8)(3)
⇒ v² = -58.8
⇒ v ≈ -7.67 m/s
Since the boy lands without rebounding, his final velocity is approximately -7.67 m/s,
Considering downward motion as negative.
The change in momentum can be calculated by multiplying the mass assumed to be negligible with the change in velocity,
⇒ Change in momentum = mass × change in velocity
⇒ Change in momentum ≈ 0 × (-7.67) kgm/s
⇒ Change in momentum ≈ 0 kgm/s
Therefore, the estimate of the change in momentum of the boy when he lands without rebounding is approximately 0 kgm/s.
learn more about momentum here
brainly.com/question/3729467
#SPJ4
A school sells T-shirts to promote school spirit. The school's profit is given by the function P(x) = 8x - 150, where * is the number of T-shirts sold.
During the play-offs, the school increases the price of the T-shirts. The school's profit during the play-offs is given by the
function Q(x) = 16x - 200, where x is the number of T-shirts sold.
Describe the transformation using the words slope and y-intercept from the graph of P to the graph of Q.
Answers
Answer:
Step-by-step explanation:
Which of these are true about lines of best fits in scatter graphs? A) The line of best fit must go through the
origin of the scatter graph.
B) A line of best fit with a positive gradient
shows a positive correlation.
C) The line of best fit must go through at least
one point on the scatter graph.
D) There can be a different number of points
above and below the line of best fit.
E) The line of best fit must go through every
point on the scatter graph.
Answers
Answer:
A) The line of best fit must go through the
origin of the scatter graph
Explain why a plane cannot be named by any three points in the plane, but must be named by three noncollinear points in the plane.
Answers
A plane cannot be named by any three points in the plane because there are infinitely many planes that can pass through those points. By specifying only three points, we do not have enough information to uniquely identify a single plane.
To uniquely define a plane, we need to use three noncollinear points. Noncollinear points are points that do not lie on the same line. By choosing three noncollinear points, we can determine a unique plane that passes through those points. The combination of these three points creates a plane that is different from any other plane passing through any other set of three noncollinear points.
In summary, naming a plane requires three noncollinear points because this combination uniquely identifies a plane, whereas three points alone are not sufficient for this purpose.
To know more about plane visit-
https://brainly.com/question/2400767
#SPJ11
Use exterior angle of triangle theorem to find the missing measure of an angle in a polygon.
Answers
Answer:
\(\boxed{x=60}\)
Step-by-step explanation:
The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles of the triangle.
\(130=70+x\)
Subtract 70 from both sides.
\(130-70=70+x-70\)
\(60=x\)
Answer:
x = 60°
Step-by-step explanation:
Exterior angle is equal to the sum of opposite interior angles
x + 70 = 130
Subtract 70 from both sides
x = 130 - 70
x = 60°
Find the surface area of a square pyramid with side length 3 km and slant height 3
Answers
Answer:
27 km²
Step-by-step explanation:
Surface Area :
Area (4 triangles) + Area (square)4 x 1/2 x 3 x 3 + 3 x 318 + 927 km²Answer:
Total surface area = 27 km²
Step-by-step explanation:
The surface area of a square based pyramid comprises:
4 congruent triangles (sides)1 square (base)Area of a triangle = 1/2 × base × height
= 1/2 × 3 × 3
= 4.5 km²
Area of a square = (side length)²
= 3²
= 9 km²
Total surface area = 4 triangles + square base
= (4 × 4.5) + 9
= 18 + 9
= 27 km²
Determine the solutions of the equation |x – 3| = 11. 1. Rewrite for two solutions: (x – 3) = 11, –(x – 3) = 11 Solve for x in each equation. What are the solutions to the equation? x = –14, –8 x = –14, 8 x = –8, 14 x = 8, 14
Answers
Answer: C. x=-8,14
Step-by-step explanation:
C
Answer:
x = 14, –8Step-by-step explanation:
|x – 3| = 11
(x - 3) = 11 - (x - 3) = 11
x - 3 = 11 - x + 3 = 11
x = 11 + 3 -x = 11 - 3
x = 14 -x = 8
x = -8
1
Find the length s of the arc of a circle of radius 9 feet subtended by the central angle
3
radian
s (arc length) =
feet
Answers
Answer:
27.0 feet
Step-by-step explanation:
Length of an arc (s) = 2πrθ/360................. Equation 1
Where r = radius of the circle, θ = angle in degree substends by the arc at the center of the circle.
From the question,
Given: r = 9 feet, θ = 3 radian = 3 (57.2950) = 171.89°
Constant: π = 3.14
Substitute these values into equation 1
s = 2(3.14)(9)(171.89)/360
s = 9715.2228/360
s = 26.99 feet
s ≈ 27.0 feet
so
How would you write 6.5E4
Answers
6.5 x 10^4
Or
65000
Find the value of x
Answers
Answer:
50?
Step-by-step explanation:
Answer:
x= 106
Step-by-step explanation:
The angle opposite 32 is also 32. Considering 44, the missing angle in that triangle would be 104. The angle to the left of 104 would be 76, and if you consider that angle 30 you are left with the measure of 74. X is the angle next to 74, so it makes sense for it to measure 106 because the values must add to 180, and even if it's not drawn to scale 106 looks accurate
40 points please give the right answer
Answers
Step-by-step explanation:
dk if this makes sense
the chart gives prices and output information for the country of new zealand. use this information to calculate real and nominal gdp for both years. use 2017 as the base year.
Answers
The nominal GDP for the year 2017 is $87,000, and the real GDP for the year 2017 is $87,000.
How to calculate real and nominal GDP?Using a base year,the formula to calculate the Real GDP is given below:
Real GDP = Nominal GDP ÷ Deflator (in decimal)
Where, Deflator = (Price of base year goods and services ÷ Price of current year goods and services) × 100
Nominal GDP for the year 2017= 1,650 × 10 + 2,820 × 25= 16,500 + 70,500= 87,000
Nominal GDP for the year 2019= 1,900 × 12 + 3,250 × 27= 22,800 + 87,750= 110,550 Using the above formula,
Deflator for the year 2017 can be calculated as:
Deflator for 2017= (P2017 / P2017) × 100= (1 × 10 + 2 × 25) / (1 × 10 + 2 × 25) × 100= 100
Similarly, Deflator for the year 2019 can be calculated as:
Deflator for 2019= (P2019 / P2017) × 100= (1.10 × 12 + 2.75 × 27) / (1 × 10 + 2 × 25) × 100= 120.25
Now, Real GDP for the year 2017= 87,000 / 100= $87,000 Real GDP for the year 2019= 110,550 / 120.25= $917.54 million.
Thus, the nominal GDP for the year 2017 is $87,000, and the real GDP for the year 2017 is $87,000. The nominal GDP for the year 2019 is $110,550, and the real GDP for the year 2019 is $917.54 million.
Learn more about real and nominal GDP
brainly.com/question/15171681
#SPJ11
ANSWER BOTH QUESTIONS PLEASE REALLY IMPORTANT AND URGENT! WILL GIVE BRAINLIEST! THANK YOU!!!
Answers
Answer:
10. Area: ((6+4) * 8)/2 = 40 ft^2
Perimeter: 6 + 4 + 8 + 12.8 = 30.8 ft
8. 22 + 22 + 22 + 38 + 27.2 = 131.2 ft
The length of a rectangle is 6 ft longer than its width.
If the perimeter of the rectangle is 68 ft, find its length and width.
Answers
Answer:
the length is 23 ft and the width is 11 ft
Step-by-step explanation:
68/4 = 17
17 17 17 17
11 11 23 23
I need help question number 6
Answers
Part a
we have that
the volume of the box is equal to
V=L*W*H
so
In this problem
the height H is equal to H=x
L=(10-2x) in
W=(8-2x) in
substitute in the formula
V=(10-2x)(8-2x)(x) in3
apply distributive property
V=(80-20x-16x+4x^2)(x)
V=(4x^3-36x^2+80x) in3
Part b
For x=0.7 in
V=4(0.7)^3-36(0.7)^2+80(0.7)
V=39.732 in3
For x=2.3 in
V=4(2.3)^3-36(2.3)^2+80(2.3)
V=42.228 in3
so
the change in the box volume increases (42.228-39.732)=2.5 in3
For x=3.2 in
V=4(3.2)^3-36(3.2)^2+80(3.2)
V=18.432 in3
the change in the box volume decreases (42.228-18.432)=23.8 in3
interpret this bound. with 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is centered around this value. with 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is greater than this value. with 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is less than this value. what, if any, assumptions did you make about the distribution of proportional limit stress? we must assume that the sample observations were taken from a normally distributed population. we do not need to make any assumptions. we must assume that the sample observations were taken from a chi-square distributed population. we must assume that the sample observations were taken from a uniformly distributed population.
Answers
The answer is that with 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is centered around a certain value. This means that we are fairly certain that the true value lies within a certain range.
This bound is based on statistical analysis and assumes that the sample observations were taken from a normally distributed population. This means that the data follows a bell curve shape, with most of the values falling near the mean and fewer values falling farther away from the mean. The 95% confidence level means that if we were to repeat the experiment multiple times, we would expect the true value to lie within this range 95% of the time.
We cannot say for certain whether the true mean proportional limit stress is greater or less than the value we have calculated, but we can say that it is centered around this value with a high degree of confidence.
It is important to note that this bound is based on certain assumptions about the data and the population it represents. If these assumptions are not met, the bound may not be accurate or valid.
To know more about statistical analysis visit:
brainly.com/question/30154483
#SPJ11
Does the construction demonstrate how to copy an angle correctly using technology? group of answer choices yes; the distance between points a and f was used to create circle h. yes; the distance between points f and g was used to create circle h. no; the distance between points a and f was used to create circle h. no; the distance between points f and g was used to create circle h.
Answers
The correct answer is: no, the distance between points A and F was used to create circle H.
The construction mentioned involves copying an angle using technology. The question asks whether the construction demonstrates the correct method for copying an angle, and provides four answer choices. The correct answer is explained in the second paragraph.
The construction described involves copying an angle using technology. To determine if the construction demonstrates the correct method, we need to analyze the steps taken and compare them to the principles of angle copying.
The first answer choice states that the distance between points A and F was used to create circle H. However, the distance between two points does not directly relate to the construction of an angle. So, this answer choice does not accurately describe the correct method of copying an angle.
The second answer choice states that the distance between points F and G was used to create circle H. Similarly, the distance between points F and G does not provide information about the construction of an angle. Hence, this answer choice is also incorrect.
The third answer choice states that the distance between points A and F was used to create circle H. This answer choice accurately describes the construction of an angle. In angle copying, the distance between the vertex of the angle being copied and a point on one of the rays of the angle is used to construct a circle. Then, the other ray of the angle is extended, and the intersection points of the extended ray with the circle are used to construct the copy of the angle.
Therefore, the correct answer is: no, the distance between points A and F was used to create circle H.
Learn more about Distance between points here:
brainly.com/question/15958176
#SPJ11
The friend has some quiz corrections currently, so anyone who helps thank you.
The width of the rectangle is 50% of its length. (18ft is length) What is the AREA of the rectangle.
Answers
Answer:
Area = 162 ft.^(2)
Step-by-step explanation:
50% of 18 ft. = 9 ft.
9 x 18 = 162 ft.^(2)
Zach hiked to the top of a mountain. He started the hike at 11:15 A.M. It took 3 hours to get to the top of the mountain and 1 hour and 45 minutes to hike back down. What time was it when Zach finished the hike?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Help ASAP!!! Brainilest
Show how u got the answer!!!
Answers
11:15+3:00=14:15 = 2:15 2:15+1:45= 4:00
he finished his hike at 4:00 P.M.
I hope my explanation makes sense to u
If you are given 7x + 9, what does the expression equal if x = 8
Answers
Answer:
65
Step-by-step explanation:
Answer:
7x8+9
7x8=56
56+9=65
65
Step-by-step explanation:
I might be wrong