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The second-period interest and amount after two months, if The principal amount is $400, The rate of interest is 6% per annum, are $4.02 and $406.02 respectively.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
The principal amount, P = 400,
The rate of interest, r = 6% per annum,
The time period, t = monthly = 1 / 12 year,
Calculate the simple interest for the first month as shown below,
Simple interest = \(p\times r\times t/100\)
Simple interest = 400 × 6 × 1 / (12 × 100)
Simple interest = 2
Thus, the amount of the first month is the principle for the second month,
Amount of the first month = Principal of the second month = 400 + 2 = 402,
Calculate the simple interest for the second month as shown below,
Simple interest = \(p\times r\times t/100\)
Simple interest = 402 × 6 × 2 / (12 × 100)
Simple interest = 4.02
Amount after two months = 402 + 4.02 = 406.02.
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Related Questions
PLEASE HELP
WILL GIVE BRAINLIEST AND 5.0 STAR RATING
Answers
Moving left subtracts from the x value the number you move.
In (2,9) the x value is the number 2
You move 1 unit to the left so subtract 1 from 2:
2-1 = 1
You will be at (1,9)
cliff divers dive headfirst at 8 feet per second from the top of a cliff 87 feet above the pacific ocean. during which time period will the diver's height exceed that of the cliff?
Answers
The cliff divers dive headfirst from the top of cliff. 1/2 or 0.5 second is the time period will the diver's height exceed that of the cliff.
Free Fall Object :An object that moves along the vertical axis due to gravitational acceleration is called a free-falling object. The free fall position is given by the following equation of motion:
yₜ = y₀ + v₀t + 1/2(at²)
Where y₀--> the initial height of the object
v₀--> the initial velocity
t --> time
a --> the acceleration due to gravity and is equal to a = g = - 32.2 ft²/sec
We have given that,
Initial velocity of divers , v₀ = 8 feet/sec
Initial Height of top of cliff , s₀ = 87 feet
position function, s(t) = - 16t²+ v₀t +s₀
Plugging all known values in above position function,
s(t) = -16 t² + 8t + 87
The the diver's height exceed that of the cliff means, s(t) > 87
=> -16 t² + 8t + 87 > 87
Subtract 87 from both sides, we get
-16t^2 + 8t > 0 , now we solve this inequality by changing it in a equality,
-16 t² + 8t = 0
=> -8 t( 2t - 1) = 0 => -8t = 0 , 2t -1 = 0
=> either t = 0 or t = 1/2
So the first half second, the person is above the height of the cliff.
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Complete question:
Use the position function s(t)-16t2+ vot +so position, t time) to answer the following: Divers in Acapulco, Mexico, dive headfirst at 8 feet per second from the top of a cliff 87 feet above the Pacific Ocean. During which time period will a diver's height exceed that of the cliff? (vo initial velocity, so initial.
What happens to the parabola when a<1 compared to the parent function?
Answers
Answer: The parabola is wider than the parent function
Step-by-step explanation:
If "a" is a fraction less than one, then the parabola becomes wider.
See graph (attached)
answer asap pllssssss
Answers
Answer:
m + 12 = 26
Step-by-step explanation:
I hope this helps a little.
Which of the following indicates that ABC and DEF are similar?
Answers
Answer:
The answer of the question is b
Similar triangles are those triangles whose corresponding sides are in the same ratio. The correct option is A, ΔABC ~ ΔDEF.
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by the ‘~’ symbol.
For the two triangles, we can denote the similarity ΔABC ~ ΔDEF.
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Suppose that f(1) = 1, f(4) = 5, f '(1) = 3, f '(4) = 3, and f '' is continuous. find the value of 4 1 xf ''(x) dx.
Answers
Answer: b
Step-by-step explanation:
I think
I need help with this question
Answers
Answer:
1024
Step-by-step explanation:
1 division: 2
2 divisions: 2×2 = 4
3 divisions: 2×(2×2) = 8
The number of viruses is 2^n, where n is the number of divisions.
After 10 divisions, there are 2^10 = 1024 viruses.
let z denote the set of integers. prove that {10n : n ∈ z} = {2n : n ∈ z} ∩ {5n : n ∈ z}.
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We need to prove that {10n : n ∈ z} = {2n : n ∈ z} ∩ {5n : n ∈ z}. To do this, we first need to prove that {10n : n ∈ z} is a subset of {2n : n ∈ z} ∩ {5n : n ∈ z} and then prove that {2n : n ∈ z} ∩ {5n : n ∈ z} is a subset of {10n : n ∈ z}.
Let us take an arbitrary element x of the set {10n : n ∈ z}. Then, x = 10n, where n ∈ z. Since 10n = 2n + 5n, x = 2n + 5n, where n ∈ z. This implies that x is a part of both the sets {2n : n ∈ z} and {5n : n ∈ z}. Hence, {10n : n ∈ z} is a subset of {2n : n ∈ z} ∩ {5n : n ∈ z}.
Let us now take an arbitrary element y of the set {2n : n ∈ z} ∩ {5n : n ∈ z}. Then, y is a part of both the sets {2n : n ∈ z} and {5n : n ∈ z}. This implies that y = 2n + 5n, where n ∈ z. Since 2n + 5n = 10n, y = 10n, where n ∈ z. Hence, {2n : n ∈ z} ∩ {5n : n ∈ z} is a subset of {10n : n ∈ z}.
Therefore, we have proven that {10n : n ∈ z} = {2n : n ∈ z} ∩ {5n : n ∈ z}.
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Complete the table. In the row with X as the input write the rule as an algebraic expression for the output then complete the last row of the table using the rule. Express the values in your answers as decimals
Answers
The last two rows of the table should be completed as follows:
Input Output
8 22.80
10 28.50
What is algebraic expression?An algebraic expression is a mathematical phrase that contains numbers, variables, and operations. It is used to represent a single quantity or value, and can be written in terms of one or more variables.
The rule given is an algebraic expression, x, which is the input, multiplied by 2.85, which is the output. Using this information, we can determine the cost of 10 muffins.
To find the cost of 10 muffins, we can use the algebraic expression given. First, we will multiply 10, the number of muffins, by 2.85, the cost of one muffin. This gives us a total of 28.50. Therefore, the cost of 10 muffins is 28.50.
Using this same rule and process, we can also determine the cost of any number of muffins. For example, if we want to know the cost of 15 muffins, we can simply multiply 15 by 2.85, giving us a total of 42.75.
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The 6 students in Mr. Brown's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:
43,14,12.7.12
Find the median and mean travel times for these students,
if necessary, round your answers to the nearest tenth
Х
?
Men minutes
Men minutes
Answers
Which graph represents a function
Answers
Answer:
The top left.
Step-by-step explanation:
You can use the vertical line test in order to prove if something is a function. If you place a vertical line on the graph and it intersects more than one point on the x-axis, it is not a function. Functions do not have overlapping x variables.
0.082
0.186
( multiplying). ??
Answers
Answer:
0.015252
Step-by-step explanation:
Multiply the two together using a calulator and you will get the same answer as me.
Have a great day!
Find the measure of each angle indicated
A) 77°
C) 74°
B) 76°
D) 82°
Answers
Answer:
76 is the correct one. So you surely go for it
180-106=74
180= 74 + 30 + x
180 - 104 = x
76 = x
Therefore B) 76 is the answer
Maddi needs to rent a car.the rental costs$13 per hour Plus a processing fee of 100$. Which is the independent variable costs or time.
Answers
Answer:
The independent variable is time.
Step-by-step explanation:
(Y=mx+b format)
Maddi's rental for the car costs $13 per hour so the x variable would be the hours (x=hour). This would be a Y= mx + b equation and in this case, Y=13x + 100. Independent means (mathmatically) a variable that does not depend on any other variable for its value. The costs is always changing being dependent on the time portion. The time isn't dependent on anything. Thus, the independent variable is time.
(If you need a starting point which is b, it would be the $100 as the processing fee.)
I need help, my teacher didnt teach up this
Answers
Answer:
The volume is 1539.38
Step-by-step explanation:
Answer:
384.7 cubic inches
Step-by-step explanation:
formula to find Volume of a Cylinder:
V = π · r² · h
7 is the diameter, so r = 3.5
V = π (3.5)² · 10
V = π (12.25)(10)
V = π · 122.5
V ≈ 384.7 in³
Jason and his friends want to go bowling on Friday night. Southgate Bowling Alley charges $30 shoes and $6 per hour to bowl, while Glades Bowling Alley charges $36 for shoes and $3 per hour to bowl. At how many hours would it be the same cost at either bowling alleys?
Answers
Answer:
2 hours
Step-by-step explanation:
Slope represents the hourly rate.
Constant represents initial price.
\(y = 30 + 6x \\ y = 36 + 3x \\ 30 + 6x = 36 + 3x \\ 3x = 6 \\ x = 2\)
a simple random sample of 64 observations was taken from a population of size 500. the population standard deviation is 16. what is the standard deviation of sample mean?
Answers
64 observations were randomly selected at random from a population of 500. the population standard deviation is 16.The standard deviation of the sample mean is 4 (16/√64).
The standard deviation of the sample mean is calculated by dividing the population standard deviation (16) by the square root of the sample size (64).
Consequently, the sample mean's standard deviation is
16/√64 = 4.
This means that the expected spread of the sample means is 4, which is less than the population standard deviation of 16. This is because the sample is smaller than the population, so the sample standard deviation will be smaller than the population standard deviation.
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You and 3 friends go bowling. You bowl for 2. 5 hours. You play 3 games and the total cost is $42
Answers
The cost per game for bowling is approximately $14.
How to calculate the cost per game for bowling?To calculate the cost per game for bowling, we need to divide the total cost by the number of games played.
Given:
Total cost: $42
Number of games: 3
To calculate the cost per game:
Divide the total cost by the number of games:
Cost per game = Total cost / Number of games
Divide the cost per game by the number of people:
Cost per game per person = Cost per game / Number of people
Substituting the given values:
Cost per game = $42 / 3 = $14
Cost per game per person = $14 / 4 = $3.50
Therefore, the cost per game for bowling is approximately $14.
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in how many ways can people sit around a round table if pierre and thomas want to sit together, but rosa doesn't want to sit next to either of them? (treat rotations as not distinct but reflections as distinct.)
Answers
There are 72 ways for people to sit around a round table if Pierre and Thomas want to sit together, but Rosa doesn't want to sit next to either of them.
First, we can seat Pierre and Thomas next to each other as a block. There are 2 ways to arrange them (PT or TP).
Next, we can seat Rosa in one of the 6 available seats that are not next to the block. There are 6 ways to do this.
Then, we can seat the remaining 4 people in the 4 available seats. There are 4! ways to do this.
Finally, we need to account for the fact that rotations are not distinct but reflections are distinct. Since there are 8 people seated around the table, there are 8 possible rotations. However, if we reflect the table (i.e., flip it over), we get a different seating arrangement. Therefore, there are 16 distinct arrangements.
Putting it all together, we have:
2 (arrangements for Pierre and Thomas) x 6 (arrangements for Rosa) x 4! (arrangements for the remaining 4 people) x 16 (accounting for distinct reflections) = 72
Therefore, there are 72 ways for people to sit around a round table if Pierre and Thomas want to sit together, but Rosa doesn't want to sit next to either of them.
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ABCD is a straight line work out the size of x
Answers
Using Linear pair, the value of x is 35.
We have,
ABC is straight line.
Angles on line are 45, 100 and x.
Using linear pair
45 + 100 + x = 180
145 + x = 180
x = 180 - 145
x = 35
Thus, the value of x is 35.
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About 142 million people in the United States watch online videos. If 44.02 watch news stories, about what percent watch news stories?
Answers
Answer:
31% Watch news stories
Step-by-step explanation:
i really need help fast thank you
Answers
Answer:
52°+49°+ angle 4= 180°( the exterior angle equals the sum of the remote interior angles)
Answer:<4=101°
Step-by-step explanation:
The exterior angle of a triangle= summation of two opposite interior angles of the triangle
So, add 52 & 49 to get the answer.
Assessment ID: dna. 143306 ib.2622931 and the 25 Larry needs to change a light bulb in the ceiling Larry leans a 16 foot ladder against the wall with its base 5 feet away from the wall. Which is closest to the distance of the height of the wall to the top of the ladder? A. 3 feet B 11 leet c. 15 leer D. 17 leet nicture on a square piece of
Answers
we haves that
Applying Pythagorean Theorem
16^2=h^2+5^2
solve for h
256=h^2+25
h^2=256-25
h^2=231
h=15.20 ft
therefore
the answer is option CIf P(B)=0.3,P(A∣B)=0.5,P(B ′ )=0.7, and P(A∣B ′ )=0.8, find P(B∣A).
Answers
If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113
To find the value of P(B|A), follow these steps:
The probability of B given A can be given by the product of the probability of A given B and the probability of B, divided by the total probability of B. So, the formula for P(B|A) = P(A|B) * P(B) / [P(A|B)*P(B)+P(A|B')*P(B')]. Substituting the values, we get P(B|A) = (0.5) (0.3) / [(0.5) (0.3) + (0.8) (0.7)] ⇒P(B|A) = 0.15 / [0.15 + 0.56] ⇒P(B|A) = 0.15 / 0.71 ⇒P(B|A) = 0.2113. Therefore, P(B|A) = 0.2113.Learn more about probability:
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Can somebody plz help answer the questions correctly (only if u know how to do this) lol thanks :)
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST !!!:DD
Answers
Answer:
21) y/4=3
multiply 4 to each side
y = 12
22) y/6=7
multiply 6 to each side
y = 42
For 23 - 26 its the same prosses as the first two
3) Find the area of each composite figure. 3 cm B 8 cm 4 cm A 5 cm Hint: The width of the rectangle A is found by subtracting the width of the larger rectangle from the width of the irregular figure.
Answers
The required answer is the area of each composite figure is 44 square cm.
Explanation:-
To find the area of each composite figure, follow these steps:
Step 1: Identify the two rectangles that make up the composite figure.
- Rectangle A has a length of 5 cm and an unknown width.
- Rectangle B has a length of 3 cm and a width of 8 cm.
Step 2: Determine the width of Rectangle A using the given hint.
- The width of the larger rectangle (Rectangle B) is 8 cm.
- The width of the irregular figure is the sum of the widths of both rectangles, which is 4 cm (width of Rectangle A) + 8 cm (width of Rectangle B) = 12 cm.
- The width of Rectangle A is found by subtracting the width of the larger rectangle from the width of the irregular figure: 12 cm - 8 cm = 4 cm.
Step 3: Calculate the area of each rectangle.
- The area of Rectangle A is length × width = 5 cm × 4 cm = 20 square cm.
- The area of Rectangle B is length × width = 3 cm × 8 cm = 24 square cm.
Step 4: Add the areas of the two rectangles to find the total area of the composite figure.
- Total area = Area of Rectangle A + Area of Rectangle B = 20 square cm + 24 square cm = 44 square cm.
So, the area of each composite figure is 44 square cm.
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For each of the following regular polygons, find: a) the sum of the interior angles, b) the measure of each interior angle, c) the sum of the exterior angles, and d) the measure of each exterior angle. Round answers to the nearest hundredth if necessary.
Answers
Answer:
wish i culd help
Step-by-step explanation:
ILL MARK BRAINLIEST HELP PLS I NEED THE ANSWER TO 9 and 10
Answers
Answer:
28. Y=1x+c
29. -2/3x+c
Hope it helps :)
What is half of a 3/4 cup?
Answers
Answer:0.375
Step-by-step explanation:
3/4=0.75
0.75/2=0.375
(3/4)/2=0.375
Sophia bought 24 chicken wings for $52.80. How much does each wing cost?
Answers
Answer:
$2.20
Step-by-step explanation:
Answer:
$2.2
Step-by-step explanation:
52.80 divided by 24 equals $2.2