6) Suppose you deposit $6000 in a savings account that pays interest at an annual rate of 4% compounded
continuously. How many years will it take for the balance in your savings account to reach $8000? Round
your answer up to the nearest number of years.
Answer:
7 years
Step-by-step explanation:
(2x+6yx)-(12ay+-6y) pls helpp pls
The required, simplified expression is 2x - 6y(2a - x) + 6y.
To simplify the expression (2x+6yx)-(12ay+-6y), we need to distribute the negative sign to the second term.
2x - 6y(2a - x) + 6y.
Now we can combine like terms, which means adding up any terms that have the same variables raised to the same powers. In this case, we have two terms with "x" and two terms with "y". Combining them, we get:
2x+6yx-12ay+6y = 2x - 12ay + 6yx + 6y
= 2x - 6y(2a - x) + 6y
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Pregnant women have the option of being scanned for Cystic Fibrosis risks in their unborn babies. If a mother or a father have a certain recessive gene, the baby is at risk for Cystic Fibrosis. Given the three events, which of the following statements is true? Select all that apply.
Event A: The mother or father carries the recessive gene.
Event B: The father carries the recessive gene.
Event C: The baby is at risk for Cystic Fibrosis.
Answer:
Pregnant women have the option of being scanned for Cystic Fibrosis risks in their unborn babies. If a mother or a father have a certain recessive gene, the baby is at risk for Cystic Fibrosis.
Given the three events, which of the following statements is true?
Select all that apply.
Event A: The mother or father carries the recessive gene.
Event B: The father carries the recessive gene.
Event C: The baby is at risk for Cystic Fibrosis.
Select all that apply:
Event A and Event B are mutually exclusive.
Event B and Event C are mutually exclusive.
Event A and Event C are not mutually exclusive.
Event A and Event C are mutually exclusive.
Event A and Event C are not mutually exclusive.
Remember that in general, A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B do not share any outcomes and P(A AND B)=0.
In this question, note that if the mother or father carries the recessive gene for cystic fibrosis, the baby is at risk. So here, A and C are not mutually exclusive, and B and C are not mutually exclusive.
A and B are not mutually exclusive because they share an outcome: the father carrying the recessive gene.
Step-by-step explanation:
22. Kevin is baking cookies. Each batch of cookies uses a pound of butter. Kevin has 11 8 pounds of butter. How many batches of cookies can Kevin make? Show your answer as a multiplication equation with as a factor.
Each batch of cookies uses a pound of butter.
The amount of butter used is 1 pound, For one batch of cookie
Kevin has 11 8 pounds of butter.
So, 1 pund of butter is used for 1 cake
then for the 118 butters
Batches of cookies = 118 x 1
Batches of cookies is 118
Answer :
Batches of cookies is 118
Miguel and his brother Ario are both standing 3 meters from one side of a 25-meter pool when they decide to race. Miguel offers Ario a head start. Miguel says he will start when the ratio of Ario’s completed meters to Ario’s remaining meters is 1:4. 4.4 meters 7.4 meters 17.6 meters 20.6 meters
Answer: 79.4
Step-by-step explanation:
Answer:
The correct answer is D. 20.6 meters.
Have a nice day hon.
Christina wants to make a painting similar to the mountain scenery in a calendar of dimension 28.5 cm × 18 cm
. Select all the possible dimensions of the canvas she could use for her paintings?
42.75 cm × 51 cm
14.25 cm × 36 cm
57 cm × 27 cm
71.25 cm × 45 cm
46 cm × 68 cm
The possible dimension of the canvas she could use for her paintings is 71.25 cm × 45 cm
How to solve for possible dimensions that can be used?The given dimensions of the mountain scenery in the calendar are 28.5 cm × 18 cm.
To make a painting similar to this scenery, Christina needs to use a canvas with the same aspect ratio as the mountain scenery in the calendar. Aspect ratio is the proportional relationship between the width and height of an image or object.
To find the aspect ratio of the mountain scenery in the calendar, we divide the width by the height:
aspect ratio = width / height = 28.5 cm / 18 cm = 1.5833
Now we can calculate the aspect ratio for each of the given canvas options by dividing the width by the height:
42.75 cm × 51 cm has an aspect ratio of 42.75 cm / 51 cm = 0.8382
14.25 cm × 36 cm has an aspect ratio of 14.25 cm / 36 cm = 0.3958
57 cm × 27 cm has an aspect ratio of 57 cm / 27 cm = 2.1111
71.25 cm × 45 cm has an aspect ratio of 71.25 cm / 45 cm = 1.5833
46 cm × 68 cm has an aspect ratio of 46 cm / 68 cm = 0.6765
Only the option 71.25 cm × 45 cm has the same aspect ratio (1.5833) as the mountain scenery in the calendar, so this is the correct answer.
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how many terms does the expression q÷2 +g-2k
Answer:
3
Step-by-step explanation:
Which statements are true? Select each correct answer. Responses Only some triangles are plane figures. Only some triangles are plane figures. All triangles are polygons. All triangles are polygons. All triangles have 3 right angles. All triangles have 3 right angles. All triangles are closed figures. All triangles are closed figures. All triangles have 3 straight sides.
The three true statements are as follows:
All triangles are polygons.All triangles are closed figures. All triangles have 3 straight sides.What are the true statements?In the list, there are several true statements and some of them include the facts that all triangles are polygons, they are closed figures and they have three straight sides.
A polygon is a shape with two or more sides. Triangles ahve three sides, so we can easily address them as polygons. Also, all triangles are closed figures and they also have three straight sides.
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it snowed 5 1/2 inches in january and 4 7/8 inches in february how many more inches did it snow in january than february
Answer:
the answer should be 5/8
10. The amount of people using a certain product can be modeled by P = 85(1.2) where t is the
number of years since the product was first released. What is the growth rate?
A) 2%
B) 20%
C) 120%
D) 12%
Answer:
B) 20%
Step-by-step explanation:
Exponential equation:
An exponential equation is given by:
\(A(t) = A(0)(1+r)^t\)
In which A(0) is the initial amount and r is the growth rate, as a decimal.
In this question:
\(P(t) = 85(1.2)^t\)
Growth rate:
We want to find r, so:
\(1 + r = 1.2\)
\(r = 1.2 - 1 = 0.2\)
The growth rate is of 0.2 = 2%, and the correct answer is given by option B.
HELP PLEASE!!
Quadrilateral CDEF is a rhombus. What is m
Answer:
∠ BDC = 29°
Step-by-step explanation:
the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then
∠ BCD = ∠ BED = 61°
• the diagonals are perpendicular bisectors of each other , then
∠ CBD = 90°
the sum of the 3 angles in Δ BCD = 180°
∠ BDC + ∠ CBD + ∠ BCD = 180°
∠ BDC + 90° + 61° = 180°
∠ BDC + 151° = 180° ( subtract 151° from both sides )
∠ BDC = 29°
Find the area of the highlighted cubes.
Answer:
15 cm
Step-by-step explanation:
area stands for amount of space in certain spot therefore the answer would be 15
BRAINLIST PLEASE!
Label the triangle sides, assuming the angle of interest is the 30-degree angle:
solve for
The side with x is the
blank side.
The side with y is the
NO SPAM I WILL REPORT YOU
blank side.
The side with 17 is the blank side
Check the picture below.
We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately . We would like to be 90% confident that the estimate is within 5 of the true population mean. How large of a sample size is required?
A sample size of at least 44 is required to estimate the population mean with 90% confidence and a margin of error of 5, assuming the population standard deviation is approximately .
How to determine how large of a sample size is requiredTo find the sample size required to estimate a population mean with a certain level of confidence and margin of error, we can use the formula:
n = (z * σ / E)^2
where:
n = sample size
z = z-score corresponding to the desired level of confidence (in this case, 90% confidence corresponds to a z-score of 1.645)
σ = population standard deviation
E = margin of error
Plugging in the given values, we get:
n = (1.645 * / 5)^2
Simplifying this expression, we get:
n = 43.56
Rounding up to the nearest whole number, we get:
n = 44
Therefore, a sample size of at least 44 is required to estimate the population mean with 90% confidence and a margin of error of 5, assuming the population standard deviation is approximately .
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What's wrong with this problem. 2(n+3) = 2n +3
Answer:
The wrong is while using Distributive property we have to use on both sides here it is only done in one place
2(n+3)=2n+6
Please help! I'll give Brainliest!
Answer:
! is 3rd one second is 4th one last one is 1 and sorry i couldnt see the other ones
Step-by-step explanation:
A certain lottery has 28 numbers. In how many different ways can 5 of the numbers be selected? (Assume that order of selection is not important.)
After answering the provided question, we can conclude that As a result, expression there are 98,280 different ways to choose 5 numbers from a set of 28 where order is irrelevant.
what is expression ?An expression in mathematics is a collection of characterizations, digits, and huge corporations that resemble a significant correlation or regimen. A real number, a flexible, or a combination of the two can be used as an expression. Mathematical operators include addition, multiplication and division, rapid spread, separation, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.
The combination formula gives the number of ways to choose 5 numbers from a set of 28 where order is irrelevant:
(k!(n-k)!) = nCk
where n represents the total number of items in the set (28 in this case), and k represents the number of items to be chosen (5 in this case).
When we plug in the values, we get:
\(28C5 28!/(5!(285)!) (28x27x26x25x24)/(5x4x3x2x1) = 98, 280\)
As a result, there are 98,280 different ways to choose 5 numbers from a set of 28 where order is irrelevant.
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The complete question is
: A certain lottery has 26 numbers.
In how many different ways can 5 of the numbers be selcted?
(assume that order of selection is not important)
26! 26x25x24x23x22x21
____ -----------------= 1,578,720
(26-5)!5! 105
Mr. Brown is buying bottles of water for the volunteers of an event he is managing. He already has 17 bottles in his office and needs a total of 350 bottles of water. They are sold in cases of 24 . Write an equation to show how many more cases of water he needs.
An equation to show the additional number of cases of water Mr. Brown needs is y = 24x - 3, where y = 333 bottles and x = 14.
What is an equation?An equation is a mathematical statement that claims that two mathematical expressions are equal.
An equation contains the equation symbol (=).
Data and Calculations:The number of bottles in his office = 17 bottles
The total number of bottles required = 350 bottles
The total number of additional bottles of water required, y = 333
1 case of water bottles = 24 bottles
The equation to show the additional cases required is y = 24x - 3, where y = 333 bottles and x = 14.
Check:
y = 24x - 3
333 = 24(14) - 3
333 = 336 - 3
333 = 333
Thus, an equation to show the additional number of cases of water Mr. Brown needs is y = 24x - 3, where y = 333 bottles and x = 14.
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Match each equation from the first set with an equivalent equation from the second set. Some of the answer choices are not used.
3x+6=4x+7
3(x+6)=4x+7
4x+3x=7-6
9x=4x+7
3x+18=4x+7
3x=4x+7
3x-1=4x
7x=1
Simplifying the equations will give 3x -1 = 4x, 3x + 18 = 4x + 7 and 7x = 1
Match each equation from the first set with an equivalent equation from the second setLets simplify each of the equations in order to match with the equivalent equation from the second set
3x+6=4x+7
Collecting like terms
3x +6 - 7 = 4x
3x -1 = 4x
The second equation
3(x+6)=4x+7
expanding the bracket
3x + 18 = 4x + 7
The third equation
4x+3x=7-6
simplifying the equation
7x = 1
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Can you help me figure this out
By using the fact that the interior angles of a triangle must add up to 180, we will see that the value of x is 15.
How to get the value of x?Here we have 3 expressions for the measures of the interior angles of a triangle.
Now, remember that the sum of the interior angles of a triangle is always equal to 180°, then we can write:
(8x - 7)° + (x + 7)° + (2x + 15)° = 180°
Ignoring the degrees and solving this for x, we get:
8x - 7 + x + 7 + 2x + 15 = 180
11x + 15 = 180
11x = 180 - 15 = 165
x = 165/11 =15
The value of x is 15.
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Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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What is the least number n with the property that, in every group of n people, there are at least three people who are all friends
Answer:
hello your question is incomplete attached below is a the complete question
answer : n = 5
Step-by-step explanation:
lets consider N to be 5
To prove that the least number 'n' = 5
we will represent this information in a graph as vertex
Black edge = Friends
Blue edge = not Friends
From the attached diagram any vertex contains 0,1,2,3,4 black lines and 4,3,2,1,0 blue lines
attached below is an explanation related to the choice of n = 5
considering n = 5 is satisfied by the explanation given
55
At a restaurant, the bill comes to $65. If you decide to leave a 11% tip, how much is the tip?
$
Give dollars and cents (like 1.23)
Answer:
Step-by-step explanation:
To find the tip, we first need to calculate 11% of the bill amount, which is:
0.11 x $65 = $7.15
Therefore, the tip is $7.15.
Answer:
$7.15
Step-by-step explanation:
Syep by step picture attached
Click on the graph below to create a triangle with vertices at the following points.
(-5,0), (-5,9), (0,9)
Write an addition, a multiplication, and a division statement with the
same answer
Answer:
5 x 5 = 25
20 + 5 = 25
50 ÷ 2 = 25
Step-by-step explanation:
Frankie argues that the fraction 20 is a rational number because the square root of 20 is 10. Frankie believes that because 10 is a whole number, it is rational
Alejandro disagrees. He believes that 20 is a rational number because the square root falls between 4 and 5, and the decimal terminates.
statement RFST describes who is correct?
Answer:
Step-by-step explanation:
The square root of 20 is √(2 * 2 * 5) which is 2√5 Not so
√5 does not terminate and there is no pattern to the decimal. √5 is irrational.
Neither one is correct.
Simplify 7 + (−3). (1 point)
a
−10
b
−4
c
4
d
10
Answer:
C. 4
Step-by-step explanation:
To simplify this expression remember that adding a negative number is the same as subtracting it. So a+(-b)=a-b, this means 7+(-3)=7-3. 7-3 is 4, so C is correct.
Simplify.
Rewrite the expression in the form 6^n6
n
6, start superscript, n, end superscript.
\dfrac{6^{4}}{6}=
6
6
4
Answer:
6^3
6 to the third power
or 3x3x3
Step-by-step explanation:
The solution of the expression 6⁻⁴.6⁶ will be 6².
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression is 6⁻⁴.6⁶. The expression will be solved as below:-
6⁻⁴.6⁶ = 6⁻⁴⁺⁶
Use the exponent property when the bases are the same then the powers will be added.
6⁻⁴.6⁶ = 6²
Therefore, the solution of the expression 6⁻⁴.6⁶ will be 6².
The complete question is to simplify the expression 6⁻⁴.6⁶.
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Which number doesn't share the same pattern as
2,20, 4,8,300
purchase good from naresh rs 9000 and isued a cheque of rs 4000 only as payment
Answer:
that means you have a 5000 dollar debt
Hope This Helps!!!