To calculate the amount in the fund after 6 years, we need to find the remaining 82% (100% - 18%) of the fund after each year.
Let's calculate the amount in the fund after each year:
Year 1: $463,000.00 - 18% = $463,000.00 * 0.82 = $379,660.00
Year 2: $379,660.00 * 0.82 = $311,451.20
Year 3: $311,451.20 * 0.82 = $255,040.26
Year 4: $255,040.26 * 0.82 = $209,371.41
Year 5: $209,371.41 * 0.82 = $172,087.81
Year 6: $172,087.81 * 0.82 = $141,211.10
Therefore, after 6 years, the fund will have approximately $141,211.10 remaining.
A soup can is the shape of a cylinder. The base is a circle that has a circumference of 9.0 cm. In your pantry you line up a bunch cans. How wide must your pantry be if you want to fit 8 cans. Round to the nearest tenth.
Answer:
22.88cm
Step-by-step explanation:
The formula for the circumference (C) of a circle is the following
C = \(2\pi r\)
We need to use plug in the given value for the circumference of a can and solve for r which is the radius.
9 = \(2\pi r\)
9 = 6.283r
1.43 = r
Now that we have the radius we can multiply it by 2 to get the diameter of the can
1.43 * 2 = Diameter
2.86 = Diameter
Finally, we can multiply the diameter by 8 in order to calculate the total width needed to fit the 8 cans in the pantry.
2.86 * 8 = 22.88cm
Solve for n and simplify your answer. -20=-4/3 n
can somebody please answer this question correctly please
Answer:
sorry i don't know the answer
Answer:
so I know the first answer
Step-by-step explanation:
so total is 40 points but the total is divide by 2 points so we get 20 questions so if u get 6 wrong then you get 20-6=14... therefore the score with 6 wrong is 14
Find the mean of the data in the bar chart below.
Help me with this bs
To find the number in a square, add the numbers in the two circles
connected to it.
Fill in the missing numbers.
The missing values in the quantitative reasoning given are : -2, 13 and 9
Given the rule :
square = circle + circleWe can deduce that :
circle = square - circleFor the left circle :
circle = -6 - (-4) = -6 + 4 = -2
For the right circle :
circle = 11 - (-2) = 11 + 2 = 13
For the left square :
square = 13 + (-4)
square = 13 -4 = 9
Therefore, the missing values are : -2, 13 and 9
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Keisha, Miguel, and Ryan sent a total of 103 text messages during the weekend. Ryan sent 3 times as many messages as Miguel. Keisha sent 8 more
messages than Miguel. How many messages did they each send?
Number of text messages Keisha sent:
Number of text messages Miguel sent:
Number of text messages Ryan sent:
Answer:
only god knows
Step-by-step explanation:
because they didn't give us an answer on how many text messages anyone sent
The logistics/operations manager of a mail order house purchases two products for resale: king beds (K) and queen beds (Q). Each king bed costs $500 and requires 100 cubic feet of storage space, and each queen bed costs $300 and requires 90 cubic feet of storage space. The manager has $75,000 to invest in beds this week, and her warehouse has 18,000 cubic feet available for storage. Profit for each king bed is $300 and for each queen bed is $150. Which of the following is not a feasible purchase combination?
a. 100K - 90Q <= 18,000
b. 90K + 100Q <= 18,000
c. 300K + 90Q <= 18,000
s. 500K + 100Q <= 18,000
e. 100K + 90Q <= 18,000
Answer:
500K + 100Q <= 18,000 ( D )
Step-by-step explanation:
king bed ( K ) requires = 100 cubic feet
Queen bed ( Q ) requires = 90 cubic feet
Total available space = 18,000 cubic feet
Revenue of king size bed = $300
Revenue of queen size bed = $150
Hence the NOT feasible purchase combination
= 500K + 100Q <= 18,000
because 500 of king size bed + 1000 of queen size is > 18,000
Suppose A is n x n and the equation Ax = 0 has only the trivial solution. Explain why A has n pivot columns and A is row equivalent to In.
A. Suppose A is n x n and the equation Ax = 0 has only the trivial solution. Then there are no free variables in this equation, thus A has n pivot columns. Since A is square and the n pivot positions must be in different rows, the pivots in an echelon form of A must be on the main diagonal. Hence A is row equivalent to the nxn identity matrix, In
B. Suppose A is n x n and the equation Ax = 0 has only the trivial solution. Then there are no free variables in this equation, thus A has n pivot columns. Since A is square and the n pivot positions must be in different rows, the pivots in A must be on the main diagonal. Hence A is the nxn identity matrix, In.
C. Suppose A is n x n and the equation Ax=0 has only the trivial solution. Then there are n free variables in this equation, thus A has n pivot columns. Since A is square and then pivot positions must be in different rows, the pivots in an echelon form of A must be on the main diagonal. Hence A is row equivalent to the nxn identity matrix, In.
Answer:
i think that the answer is like hhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?
The truck driver would deliver 105 packages in a 7 hours day
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:
y - 15 = [(60-15)/(4-1)](x - 1)
y = 15x
For a 7 hour day (x = 7):
y = 15(7) = 105
The driver would deliver 105 packages in 7 hours
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Plssss help.........
It’s geometry.......
Answer: me to
Step-by-step explanation:
Answer: EGD
Step-by-step explanation:
The Riley family has 3 children all born 1 year apart. Kate is the youngest, Bradley is the middle child, and Cameron is the oldest. Together, the children's ages total 36. How old is Kate?
Step-by-step explanation:
12
Answer:
11
Step-by-step explanation:
11+12+13 =36
So Kate would be 11. Bradley would be 12. And Cameron would be 13
Given that ∅ = 12.2° , calculate the area of the triange below
give your answer to 2 d.p.
Answer:
A = (1/4)√(4 + 11 + 14)√(-4 + 11 + 14)√(4 - 11 + 14)√(4 + 11 - 14)
A = (1/4)√29√21√7
= about 16.32 mm²
Answer:
16.27 mm² (see comment)
Step-by-step explanation:
You want the area of a triangle with side lengths 11 mm and 14 mm, and the angle between them 12.2°.
AreaThe area is given by the formula ...
A = 1/2ab·sin(C)
A = 1/2(11 mm)(14 mm)·sin(12.2°) ≈ 16.27 mm²
The area of the triangle is about 16.27 square millimeters.
__
Additional comment
If you use Heron's formula for the area from the three side lengths, you find it is about 16.32 mm². That's the trouble with over-specified geometrical figures. The result you get depends on which of the given values you use. (To get the area accurate to 4 sf, the angle needs to be specified to 4 sf: 12.24°.)
s = (4 +11 +14)/2 = 14.5
A = √(s(s -a)(s -b)(s -c))
A = √(14.5(14.5 -4)(14.5 -11)(14.5 -14)) = √(14.5·10.5·3.5·0.5) = √266.4375
A ≈ 16.32
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Which fraction is in simplest form?
17
51
19
30
21
24
21
35
The function f(x) = 1.85x^2 models the cost of a square carpet, where x is the length in feet. Find the average rate of change for f, to the nearest tenth, over the interval 10 ≤ x ≤ 20.
Answer:
I helped you last time so I'll help you again.
Step-by-step explanation:
We can find the average rate of change of f(x) over the interval [10, 20] using the formula:
average rate of change = (f(b) - f(a))/(b - a)
where a = 10 and b = 20.
So, we have:
f(a) = f(10) = 1.85(10)^2 = 185
f(b) = f(20) = 1.85(20)^2 = 740
average rate of change = (740 - 185)/(20 - 10) ≈ 55.5
Therefore, the average rate of change of f(x) over the interval [10, 20] is approximately 55.5.
Write an equation to represent the product of the quantity 3 times a number x minus 3 and 2.5 is equal to 6.
The algebraic equation n - 5 = 12 represents the sentence "the product of the quantity 3 times a number x minus 3 and 2.5 is equal to 6." and the solution of the equation is the value of variable x is 2.2.
The given statement is "the product of the quantity 3 times a number x minus 3 and 2.5 is equal to 6."
According to the given question, translate the phrase into an algebraic form :
⇒ 3(x - 3) × 2.5 = 6
Now the above equation solves for variable x,
⇒ 3(x - 3) × 2.5 = 6
⇒ (3x - 9) × 2.5 = 6
Divided by 2.5 to both sides of the above equation,
⇒ (3x - 9) = 2.4
⇒ 3x = 2.4 - 9
⇒ 3x = 6.6
⇒ x = 6.6/3
⇒ x = 2.2
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List all the subsets of the given set.
{e, n, t}
The subsets of the set {e, n, t} are given as follows:
{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.
How to obtain the number of subsets in a set?Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:
\(2^n\)
The set for this problem is given as follows:
{e, n, t}
The cardinality is given as follows:
n = 3.
Hence the number of subsets is given as follows:
2³ = 8.
The subsets are given as follows:
{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.
In which {} is the empty set.
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fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
Find the volume to each equation
(Directions listed above questions)
The volume of the triangular prism is 30. 04 cubic yards
The volume of the cylinder is 380.38 cubic km
How to determine the valueThe formula for calculating the volume of a triangular prism is expressed as;
Volume = 1/2 bhl
Now, substitute the values
Volume = 1/2 × 3.08 × 5.84 × 3. 34
Multiply the values
Volume = 30. 04 cubic yards
The formula for the volume of a cylinder is expressed as;
Volume = πr²h
Radius = 3km
Substitute the values
Volume = 3. 14 × 9 × 13.46
Multiply
Volume = 380.38 cubic km
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Date Work out the difference between 09:15 and 20:30
Answer:
11h 15 mins
Step-by-step explanation:
This is because the difference between the two are basically you adding the higher number (20:30) then taking away the lower one (9:15). 20:30 - 9:15 = 11:15, since you are working out the difference, you have to convert it into hours and minutes, as they are the digits in the other two numbers, making the answer 11h 15m.
I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!
London and her children went into a grocery store and will buy apples and
bananas. Each apple costs $2 and each banana costs $0.80. London has a
total of $20 to spend on apples and bananas. Write an inequality that would
represent the possible values for the number of apples purchased, a, and the
number of bananas purchased, b.
Answer:
10a < 25b
Step-by-step explanation:
The required inequality, which represents the possible values for the number of apples and bananas purchased is 2a + 0.8b ≤20.
What is inequality?Inequality can be defined as the relation of the expression containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Let, the number of apples purchased, a, and the number of bananas purchased, b.
According to the question, Each apple costs $2 and each banana costs $0.80. London has a total of $20 to spend on apples and bananas.
So,
2a + 0.8b ≤20
Thus, the required inequality, that represents the possible values for the number of apples and bananas purchased is 2a + 0.8b ≤20.
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Find the AREA of this shape
Solve for x leave your answer in simplest radical form
Answer:
X=11 trust me on my mom
A tank is full of water. Find the work (in ft-lb) required to pump the water out of the spout. Use the fact that water weighs 62.5 lb/ft3. (Round your answer to the nearest whole number.) 3 ft6 ft12 ft A frustum of a cone with a spout is given. The smaller radius is 3 ft, the larger radius is 6 ft, and the height is 12 ft.
The work required to pump the water out of the spout is approximately 64,307,077 ft-lb
To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.
First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.
Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:
V = (1/3)π(12)(9 + 36 + 18) = 270π ft³
Now, we can calculate the weight of the water using the density of water:
Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb
Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):
Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²
Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:
Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft
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Which equation is equivalent to StartRoot x EndRoot + 11 = 15?
Answer:
x+121=225
Step-by-step explanation:
√x+11=15
to find the equivalent let's square both sides
(√x)²+11²=15²
x+121=225
This answer is the only one that matches the question
rate as brainliest
factor and solve
x^2-4x=5
Let’s solve the equation x^2 - 4x = 5 by factoring:
First, we’ll move all the terms to one side of the equation:
x^2 - 4x - 5 = 0
Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:
(x - 5) (x + 1) = 0
Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:
x - 5 = 0 or x + 1 = 0
Solving each equation separately, we find that x = 5 or x = -1.
So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.
The mass of the Earth is about 6,000,000,000,000,000,000,000,000 kg. The mass of a human toddler's brain is about 400 grams. SHOW ALL WORK
(a) What is the mass of the Earth written in scientific notation?
(b) What is the mass of a toddler’s brain in scientific notation?
(c) In comparing the measurements in Parts (a) and (b), what else must be done before a comparison is made?
(A) = 6 x 10^24
(B) = 4 x 10^2
(C) but i need help on C cause I think you have to combine the kg and grams but I dont know how
Step-by-step explanation:
that's why it is so important to always write also the units a number represent.
and for a fully nice scientific notation you write also at least 1 digit after the decimal point.
(a) 6.0 × 10²⁴ kg
(b) 4.0 × 10² g
now,
1 kg = 1000 g ("kilo" means 1000)
so, in order to be able to compare the 2 numbers, you have to bring both numbers to the same unit. either both to kg or both to g.
6.0 × 10²⁴ kg = 6.0 × 10²⁴ × 1000 g = 6.0 × 10²⁷ g
or
4.0 × 10² g = 4.0 × 10² / 1000 kg = 4.0 × 10^-1 kg
once you have both showing the same unit, you can truly compare them.
Please help! Which statement belongs in space number 3?
Answer:
the triangles are not congruent
HL is the statement which belongs to the space number 3.
According to the given triangles, DF and EH are parallel, DH and EG are parallel, and DF is congruent to EH.
The HL congruence theorem states that if the hypotenuse and one leg of a right triangle are congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.
In this case, since DF and EH are parallel, DH and EG are parallel, and DF is congruent to EH, we have the conditions required for the HL congruence theorem.
Therefore, we can conclude that ΔDFH is congruent to ΔEGH.
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Y-4x=9 in standard form please show your work
Answer:
y = x + 9/4 or y = x + 2 1/4
Step-by-step explanation:
y - 4x = 9
y - x = 9/4 (divide both sides by 4)
y = x + 9/4 (Add x to both sides)