If Kashif and Ali invested equal sums in the two different banks at 9 % and 10% , then in 6 years Ali will have $0.0945 more than Kashif .
We use the formula for compound interest, to calculate the amount that each person will have after 6 years ;
Amount after 6 years for Kashif is :
⇒ A = P(1 + r/n[tex])^{nt}[/tex]
where A = (amount after 6 years) ; P = (initial investment)
r = interest rate = 9% ; n = 1 ; t = time period (6 years) ;
So, A = P(1 + 0.09/1)⁶ ⇒ P(1.09)⁶ ;
Amount after 6 years for Ali is :
⇒ A = P(1 + 0.10/1)⁶ = P(1.10)⁶ ;
So , difference in the amounts that Kashif has compared to Ali after 6 years is ⇒ P(1.09)⁶ - P(1.10)⁶ ;
Simplifying this expression, we get:
⇒ P(1.09⁶ - 1.10⁶) ;
≈ -$0.0945 ;
Since the value is negative, it means that after 6 years, Ali will have more money than Kashif and difference between their amounts is approximately $0.0945 .
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what is the area of the long triangle
Check the picture below.
[tex]\cfrac{8^2}{6^2}~~ = ~~\cfrac{A_1}{A_2}\implies \cfrac{8^2}{6^2}~~ = ~~\cfrac{A_1}{(36)}\implies \cfrac{8^2(36)}{36}=A_1\implies 8^2=A_1\implies \stackrel{ mm^2 }{64}=A_1[/tex]
a data warehouse of a train company contains information about train segments. it consists of six dimensions, namely, departure station, arrival station, trip, train, arrival time, and departure time, and three measures, namely, number of passengers, duration, and number of kilometers. define the olap operations to be performed in order to answer the following queries. propose dimension hierarchies when needed. a. total number of kilometers made by alstom trains during 2012 departing from .. french or belgian stations. b. total duration of international trips during 2012, that is, trips departing from a station located in a country and arriving at a station located in another country. c. total number of trips that departed from or arrived at paris during july 2012. d. average duration of train segments in belgium in 2012. e. for each trip, average number of passengers per segment, that is, take all the segments of each trip, and average the number of passengers.
The Olap operations for a data warehouse of a train company contains information about train segments is performed in order to answer the queries with dimension hierarchies when needed.
OLAP operation for first case is Filter on the train dimension to select only Alstom trains. Filter on the departure station dimension to select only French or Belgian stations. Filter on the year dimension to select only 2012. Aggregate the number of kilometers measure across the selected dimensions
Dimension hierarchies for this case is Station dimension: Country > City > Station, Trip dimension: Year > Month > Day > Trip ID.
OLAP operation for the second case is Filter on the departure station and arrival station dimensions to select only trips that cross country borders. Filter on the year dimension to select only 2012. Aggregate the duration measure across the selected dimensions
Dimension hierarchies for this case is Station dimension: Country > City > Station, Trip dimension: Year > Month > Day > Trip ID.
OLAP operation for third case is Filter on the departure station and arrival station dimensions to select only trips that involve Paris. Filter on the month dimension to select only July 2012. Aggregate the number of trips measure across the selected dimensions.
Dimension hierarchies for this case is Station dimension: Country > City > Station, Trip dimension: Year > Month > Day > Trip ID.
OLAP operation for fouth case is Filter on the departure station and arrival station dimensions to select only trips that involve Belgian stations. Filter on the year dimension to select only 2012.Aggregate the duration measure across the selected dimensions. Calculate the average duration of the segments
Dimension hierarchies for this case is Station dimension: Country > City > Station, Trip dimension: Year > Month > Day > Trip ID.
OLAP operation for fifth case is Aggregate the number of passengers measure across all segments of each trip. Divide by the number of segments per trip to get the average number of passengers per segment
Dimension hierarchies for this case is Station dimension: Country > City > Station, Trip dimension: Year > Month > Day > Trip ID.
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Simplify: √-363
○ -11√/3
11i
33i
○ 11i√√3
Answer:
11i√√3
Step-by-step explanation:
Parallel lines s and t are cut by a transversal, r.
(image)
A) If the measure of angle 7 is 52°, what is the measure of angle 1? ____________
B) If the measure of angle 8 is 112°, what is the measure of angle 3? ___________
help!
Answer:
a the answer for angle 1 is also 52
b the answer for angle 3 is 180- 112= 68
What type of problem is "What number multiplied by the expression of 5 x 10^3 is equivalent to the expression 5 x 10^6?"
Not asking for a solution, just wondering what kind of problem it is
We can solve steps in expressions with many operations in accordance with the order of operations. Any operations contained within parenthesis or brackets are first solved. After that, we handle any exponents. Third, we perform all division and multiplication operations from left to right. The fourth rule is that we always add and subtract from left to right.
Use the acronyms PEMDAS or BODMAS to determine the sequence of operations. PEMDAS: Parentheses ⇒ (3+4)
Exponents ⇒ 3², Multiply ⇒ 8*4, Divide ⇒ 12÷4, Add ⇒ 6+6, Subtract ⇒ 10-5. BODMAS: Brackets, Order, Divide, Multiply, Add, Subtract .A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations. Using PEMDAS, we can retain the following order: Exponents, parentheses, addition, subtraction, multiplication, and division (from left to right) Parentheses, exponents, multiplication, division, addition, and subtraction are the orders in which operations must be performed, according to the order of operations. Both BODMAS and PEMDAS are valid and in use in various parts of the globe.
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Which rate is greater
1,080 labels on 90 sheets 2,250 labels on 150 sheets
Answer: There would be a higher rate on the 2250 labels on 150 sheets.
Step-by-step explanation:
1080/90 = 12
2250/150 = 15
There would be a higher rate on the 2250 labels on 150 sheets.
How is rational algebraic expressions different with fractions? How is it the same
The difference between rational algebraic expressions and fractions is discussed above.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a combination of terms, both variables and constants.
For example → 2x + 3y + z
Given is to explain how is rational algebraic expressions different with fractions.
In a rational algebraic expressions, the expression function in the numerator and denominator both are non - zero polynomials. A fraction is of the form {x/y}, in which it is not necessary that {x} and {y} should be polynomials only. They can be numbers also.
Therefore, the difference between rational algebraic expressions and fractions is discussed above.
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I NEED HELP PLEASEEEEEEEEE!!!!!!
Step-by-step explanation:
so, it starts (year 0 after 2000) with 350 foxes.
after 1 year the number had increased by 5%.
that means : 350×1.05
because 5% is represented by 0.05.
5% of 350 is 350×0.05 (= 17.5)
and to add 5% means that this is added to the original 100% (= 1).
100% + 5% = 105%
means
1 + 0.05 = 1.05
so, again, after the first year we have
350×1.05
foxes.
after the second year we have to multiply that by 1.05 again :
350×1.05×1.05
and so on.
so, what we are doing is multiplying the original number of foxes by powers of 1.05 (with the exponent being the number of years after 2000).
f(x) = 350 × (1.05)^x
A farmer has 7 3/4 rows of radishes in one field,4 3/4 rows of radishes in another field,and 6 1/4 rows of radishes in a third field .How many rows of radishes does he have altogether.
Answer:
18 and 3/4 rows of radishes
Step-by-step explanation:
6 + 4 + 7 = 17
3/4 + 3/4 + 1/4 = 7/4
7/4 = 1 3/4
17 + 1 3/4 = 18 3/4
Answer: 18 and 3/4 rows of radishes
Since all the fractions have the same denominator,
you can combine 3/4 + 3/4 + 1/4 together into 1 and 3/4
Adding in the numbers 7 + 4+ 6 and the 1 and 3/4 would amount to 18 and 3/4
Increase 600 by 9% equal too?
Answer:
654
Step-by-step explanation:
An increase of 9% would mean 1.09 times 600 which equals 654
A principal of $900 was invested at 2.5% interest, compounded annually. Let t be the number of years since the start of the investment. Let y be the value of the investment in dollars. Write an exponential function showing the relationship between y and t.
Group of answer choices
Answer: 900 x (2.5 x t) = y
900 hundred dollars originally invested, times the number of years multiplied by the yearly interest rate, equals Y, or the amount of the investment in dollars.
I hope this helps & good luck <3 !!!
Every time Ezequiel rides the bus, money is deducted from the value of the pass. He rode 9
times and $72 was deducted from the value of the pass. What integer represents the
amount lost EACH time the pass was used? (
The integer 8 represents the amount lost each time the pass was used.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that, every time Ezequiel rides the bus, money is deducted from the value of the pass.
He rode 9 times and $72 was deducted from the value of the pass.
Let x be the integer that represents the amount deducted each time.
The amount deducted after 9 times is 9x.
9x = 72
We have to divide 72 into 9 parts to know the value of x.
x = 72 / 9 = 8
Hence Ezequiel lost $8 each time the pass was used.
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14) For y=-7, when x = -35, what is the constant of variation and what is the direct-variation equation?
Nine more than twice a number is less than negative eleven. Find all numbers that make the statement true
All the numbers less than -10 and upto negative infinity will make the mentioned statement true.
Let us assume the number to be x. So, twice the number will be 2x. Then, nine more will be represented as: 2x + 9. Now, the total is less than -11, so representing the information in expression along with sign.
2x + 9 < - 11
Rewriting the expression according to 2x
2x < - 11 - 9
Performing subtraction on Right Hand Side of the equation
2x < - 20
x < - 20/2
Performing division on Right Hand Side of the equation
x < - 10
So, the numbers below -10 will make the statement true.
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a roller-coaster ride with 6 passengers takes 3 minutes. neglecting friction, a similar ride with 12 passengers aboard would take group of answer choices 1.5 minutes. 18 minutes. 3 minutes. 6 minutes.
Neglecting friction, a similar ride with 12 passengers aboard would take 6 minutes.
The time it takes for a roller coaster ride is directly proportional to the mass of the passengers. If we assume that each passenger has the same mass, then the time it takes for the ride is proportional to the number of passengers.
Let T1 be the time for the ride with 6 passengers, and T2 be the time for the ride with 12 passengers. Then, we have:
T2 = (12/6) * T1
Simplifying this expression, we get:
T2 = 2 * T1
We are given that T1 = 3 minutes, so we can substitute this value into the equation above to find T2:
T2 = 2 * 3 minutes = 6 minutes
Therefore, a similar roller coaster ride with 12 passengers aboard would take 6 minutes, as opposed to the 3 minutes it takes with 6 passengers aboard. The answer is 6 minutes.
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OnOff
Question
A composite figure is shown.
What is the total area of this figure?
164 sq. cm.
136 sq. cm.
216 sq. cm.
160 sq. cm.
Answer:
164 cm^2
Step-by-step explanation:
lets find square of triangle first
corner ABD is 90 degrees coz corner ABC is 180 degrees and EBC is 90
(sum of all angles of a quadrilateral is 360,
B = 360 - C - F - E
360 - 90 - 90 - 90 = 90)
BD = CF - DE
BD = 16 - 8 = 8 cm
S ABD = AB * BD / 2 (coz corner B is 90 degrees)
S ABD = 13 * 8 / 2 = 13 * 4 = 52 cm^2
lets find square of BEFC next
S BEFC = CF * EF ( B = C = F = E = 90 so thats a rectangle)
S BEFC = 16 * 7 = 70 + 42 = 112 cm^2
finally lets find total area
S = S ABD + S BEFC = 52 + 112 = 164 cm^2
The sharks are fed three times a day. During the morning feeding, 2/15 of a ton of fish is fed. During the afternoon feeding the weight of the fish fed will be 1/15 of a ton more than the fish fed during the morning. if the total weight of the fish fed in a day is 1/2 of a ton, how much is fed during the feeding at night?
The shark is fed during the feeding at night is 1/6 tons.
What is a proper fraction?
A proper fraction is one that doesn't contain any whole numbers and has a smaller numerator than a denominator. A fraction that represents a number greater than one and has a larger numerator than the denominator is said to be improper.
Given that during the morning feeding, 2/15 of a ton of fish is fed. During the afternoon feeding the weight of the fish fed will be 1/15 of a ton more than the fish fed during the morning.
The shark fed (2/15 + 1/15) ton during the afternoon.
Assume that the shark fed x tons at night.
Therefore, the total fed is 2/15 + (2/15 + 1/15) + x
The equation is:
2/15 + (2/15 + 1/15) + x = 1/2
Add like terms:
5/15 + x = 1/2
1/3 + x = 1/2
Subtract 1/3 from both sides:
x = 1/2 - 1/3
x = (3-2)/6
x = 1/6
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can ypu please answer this question
Answer: A=71°
Step-by-step explanation:
A+B+C=180°
A+38°+C=180°
A+C=180°-38°
A+C=142°
142°/2=71°
∴A=71°
∴C=71°
Please help I’ll give brainliest
Answer:
Step-by-step explanation:
Given,f(x)=3x^2-x+2
now,f(-4)=3(-4)^2-(-4)+
=3(16)+4+2
=48+4+2
=54
So,f(-4) =
Answer:
The solution is 54
Step-by-step explanation:
f(x) = 3x²-x+2
f(-4) = 3(-4)²-(-4)+2
f(-4) = 48+4+2
f(-4) = 52+2
f(-4) = 54
Ahlam bought goods worth $90. She gave the shopkeeper $100. The shopkeeper did not have exact balance. How much more should Ahlam give to the shopkeeper in order to get a balance of $25 ?
Ahlam needs to give the shopkeeper $15 more to get a balance of $25.
Word problems in MathematicsWord problems in Mathematics are mathematical approaches we make use of in our ongoing day to day activities. Algebra leading to word problems usually consist of numbers, variables, and its arithmetic operations.
Ahlam bought goods worth = $90, If she gave the shopkeeper $100, then she will collect $100 - $90 = $10 back.
But if the shopkeeper did not have an exact balance and Ahlam decided to give the shopkeeper $x to get a balance of $25.
Then we can write the expression as:
10 + x = 25
x = 25 - 10
x = 15
Therefore, we can conclude that Ahlam needs to give the shopkeeper $15 more to get a balance of $25.
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Select the correct answer. A parabola has a minimum value of 0, a y-intercept of 4, and an axis of symmetry at x = -2. Which graph matches the description?
A. A parabola declines through (negative 0 point 2, 5), (0, 4), (0 point 5, 2), (1, 1) and (2, 0) and rises through (3, 1), (4, 4) and (4 point 5, 6) on the x y coordinate plane.
B. A parabola declines through (negative 4, 4), (negative 3, 1), (negative 2, 0) and rises through (negative 1, 1), (0, 4) and (0 point 2, negative 5) on the x y coordinate plane. C. A curve declines through (negative 6,1) and (negative 4, 0) and rises through (negative 2, 1), (negative 1, 2), (0, 4) and (0 point 5, 5) on the x y coordinate plane. D. A curve declines through (negative 1, 6), (0, 4), (1, 2), (2, 1), (4, 0) and (6, 1) on the x y coordinate plane.
The correct option for a parabola with given details is D i.e. A curve declines through (negative 1, 6), (0, 4), (1, 2), (2, 1), (4, 0) and (6, 1) on the x y coordinate plane.
What exactly is a parabola?
A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix).
In general, if the directrix is parallel to the y-axis, the typical parabola equation is: y² = 4ax.
If the parabola is sideways, i.e., the directrix is parallel to the x-axis, the conventional parabola equation is x² = 4ay.
Aside from these two, if the parabola is in the negative quadrants, the equation can also be y²= -4ax and x² = -4ay.
Now,
The Graph is drawn for option D in the image and it matches the
details provided in the question.
Hence,
The correct option for a parabola with given details is A curve declines through (negative 1, 6), (0, 4), (1, 2), (2, 1), (4, 0) and (6, 1) on the x y coordinate plane.
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I'm stuck on this question and I need help
What are the zeros of the function f (x) = 2 – 4cosx? HELP PLSSSSSSSSS
Answer:
2(fx-2cosx)
Step-by-step explanation:
regroup terms
factor out the common term 2
Combine like terms to create an equivalent expression.
−
3.6
−
1.9
�
+
1.2
+
5.1
�
−3.6−1.9t+1.2+5.1tminus, 3, point, 6, minus, 1, point, 9, t, plus, 1, point, 2, plus, 5, point, 1, t
The equivalent expression with combined like terms is -5.5t + 6.3.
What is Equivalent expression?
Equivalent equations are algebraic equations with the same roots or solutions. We get an analogous equation by adding or subtracting the same number or expression from both sides of an equation. We can also get an equivalent equation by multiplying or dividing both sides of an equation by the same non-zero value.
To combine like terms, we can group the terms with the variable t together, and group the constant terms together:
(-3.6t) + (-1.9t) + (1.2 + 5.1)
We can simplify the constant terms:
(-3.6t) + (-1.9t) + 6.3
Finally, we can combine the terms with the same variable by adding their coefficients:
-5.5t + 6.3
Therefore, the equivalent expression with combined like terms is -5.5t + 6.3.
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The student can combine like terms in the given expression by adding and subtracting the corresponding pairs. This gives the equivalent expression as 3.2t - 2.4.
Explanation:To combine like terms in the equation -3.6 - 1.9t + 1.2 + 5.1t, you need to group together the like terms. The two like terms we have are the terms with the variable t, -1.9t and +5.1t, and the two constant terms -3.6 and +1.2 without the variable t.
When you add and subtract these pairs accordingly, you get:
-1.9t + 5.1t = 3.2t
-3.6 + 1.2 = -2.4
So, the equivalent expression that combines these like terms is: 3.2t - 2.4.
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4x-(6x+1)≤ 8x + 2(x-3)
Answer:
-1/6
Step-by-step explanation:
To solve the inequality 4x-(6x+1)≤ 8x + 2(x-3), we can simplify both sides of the inequality and isolate x on one side:
4x - (6x + 1) ≤ 8x + 2(x-3)
4x - 6x - 1 ≤ 8x + 2x - 6
-2x - 1 ≤ 10x - 6
Subtract 10x from both sides:
-12x - 1 ≤ -6
Add 12x to both sides:
-1 ≤ 6x
Divide both sides by 6:
-1/6 ≤ x
The solution to the inequality is x ≥ -1/6. This means that x is greater than or equal to -1/6, so any value of x that is greater than or equal to -1/6 will satisfy the inequality.
You consume 14 pounds of turkey annually. At a discount store, the price of turkey is $0.99 less per pound than at a supermarket. How much would you save annually, in dollars, if you bought all of your turkey at the discount store?
The required we can save $13.86 annually by buying all your turkey at the discount store.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let's call the price of turkey per pound at the supermarket "x". Then the price of turkey per pound at the discount store would be x - $0.99.
Since we consume 14 pounds of turkey annually, the cost of the turkey at the supermarket would be 14 × x dollars.
And the cost of the turkey at the discount store would be 14 × (x - $0.99) dollars.
Therefore, the amount you would save annually by buying all your turkey at the discount store is,
= 14 × x - 14 × (x - $0.99) = 14 × $0.99
= $13.86
So, we would save $13.86 annually by buying all your turkey at the discount store.
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A right triangle has legs measuring 18 in. and 26 in. what is the length of the hypotenuse? round to the nearest tenth. responses 18.8 in. 18.8 in. 31.6 in. 31.6 in. 44.0 in. 44.0 in. 100.0 in.
The hypotenuse of the right triangle with legs measuring 18 in and 26 in is 31.6 in, rounded to the nearest tenth. This is calculated by using the Pythagorean Theorem, which states that a2 + b2 = c2 and plugging in the values for a and b.
The hypotenuse of a right triangle is the longest side of the triangle and is always opposite of the right angle. To calculate the length of the hypotenuse, you need to use the Pythagorean Theorem. The theorem states that a2 + b2 = c2, where a and b are the legs of the triangle and c is the hypotenuse. In this case, a is 18 inches and b is 26 inches, so the equation would be 182 + 262 = c2. Plugging in the values, we get 324 + 676 = c2, which simplifies to 1000 = c2. To find the length of the hypotenuse, we need to take the square root of 1000, which is 31.6 inches. Rounded to the nearest tenth, the hypotenuse of the right triangle with legs measuring 18 in and 26 in is 31.6 in.
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do 3 over 4 and 9 over 12 form a proportion
Answer:
0 over 12
Step-by-step explanation:
3/4 is equal to 9/12
so your basically taking 9/12 from 9/12
Find the missing side length using trig please!
Answer: 25 inches
Step-by-step explanation:
cos60 = adjacent over hypotenuse
cos60 = a/50
50cos60 = 25
consider a group of 150 students. out of them suppose 30 are math majors, 40 are engineering majors, and 20 are both math and engineering majors. if a student is selected randomly, a). what is the probability that the student is from other majors? note: round your answer to the nearest second decimal place b) what is the probability that the student majors only math? note: round your answer to the nearest second decimal place c) what is the probability that the student does not major engineering? note: round your answer to the nearest second decimal place
The probability that the student is from other majors is 0.40, the probability that the student majors only math is 0.13, and the probability that the student does not major engineering is 0.73.
a) Probability of a student being from other majors = (150-90) / 150 = 0.40
b) Probability of a student majoring only math = (30 - 20) / 150 = 0.13
c) Probability of a student not majoring engineering = (150 - 40 - 20) / 150 = 0.73
Probability = Number of Favorable Outcomes / Total Number of Outcomes
For part a)
Number of Favorable Outcomes = 150-90 = 60
Total Number of Outcomes = 150
Therefore, Probability = 60 / 150 = 0.40
For part b)
Number of Favorable Outcomes = 30-20 = 10
Total Number of Outcomes = 150
Therefore, Probability = 10 / 150 = 0.13
For part c)
Number of Favorable Outcomes = 150-40-20 = 90
Total Number of Outcomes = 150
Therefore, Probability = 90 / 150 = 0.73
The probability that the student is from other majors is 0.40, the probability that the student majors only math is 0.13, and the probability that the student does not major engineering is 0.73.
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