Answer: 20 years
Step-by-step explanation:
Let M be the sum of money invested.
Given Sum of money doubles itself in 10 years.
Then, M will become 2M in 10 years.
Now we can calculate interest for ten years as given below.
From the above calculation, M is the interest for the first 10 years.
In simple interest, interest earned will be the same every year.
So, interest earned in the next 10 years also will be M.
So it will take 20 years.
Thank you if you can give me a brainliest.
find the value of x
(X-24) = 29 degrees
Answer:
X - 24 = 29
X = 29 + 24
X = 53 degrees
Lorie ordered a shed to hold her gardening supplies. The shed had a length of 12.25 ft, a width of 10 ft, and a height of eight and one fifth ft.
Determine the volume, V, using the formula V = lwh.
30.45 ft3
100.45 ft3
960.05 ft3
1,004.5 ft3
The volume will be 1004.5 ft³.
How to calculate the volume?It should be noted that the volume is calculated as:
= Length × Width × Height
= 12.25 × 10 × 8.2
= 1004.5 ft³
Therefore, the volume will be 1004.5 ft³.
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Select all decimals that are equivalent to
9 x 100 + 2 x 10 + 3 x 10 + 5 x 1/100
A.92.35
B.920.350
C.902.35
D.92.350
E. 920.35
F.920.035
Answer:
E. 920.35
Step-by-step explanation:
Hope this helped :>
Graph each integer and its opposite on the number tin
hi!
lets try and further analyze this.
The integer -2 would be graphed directly on the "-2" point on the line. also marking positive 2 (2) as for that's its opposite. Positive 3 (3) would be marked on the 3 and so would -3. Then -5 and positive 5 (5) and lastly -1 and positive 1 (1).
hope this helps!
side note: for actually graphing the point just use a filled in dot indicating where you mark it.
15+3(2x-9)=44 solutions or no solution
when we take x = 9.33, the equation becomes true, which means that the linear equation has one solution.
Does the given linear equation has solutions?
Here we have the following linear equation:
15 + 3*(2x - 9) = 44
And we want to see if this has a solution, it means that there is a value of x such that the equation becomes true. Let's see that.
To do it, we need to isolate the variable, x, in one of the sides of the equation.
Expanding the product we get:
15 + 3*2x - 3*9 = 44
Moving the terms without x to the right side:
15 + 6x - 27 = 44
6x = 44 + 27 - 15 = 56
Now we can divide both sides by 6 so we get:
x = 56/6 = 9.33
So, when we take x = 9.33, the equation becomes true, which means that the linear equation has one solution.
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for the dinner special at a restaurant, the customer must choose an appetizer, an entree, a side dish, and a dessert. here are the items to choose from
288 dinner specialist
1 Appetizer = 3 C₁
1 Salad = 2 C₁
1 Entree = 4 C₁
1 Side dish = 3 C₁
1 desert = 4 C₁
Total = 3 C₁ * 2 C₁ * 4 C₁ * 3 C₁ * 4 C₁
=3* 2 * 4 * 3 * 4
= 288 dinner specialist
What do you mean by possibility in mathematics?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an occurrence is a number between 0 and 1, with 1 representing certainty and 0 representing impossibility. The higher the likelihood of an event, the more likely it is to occur. A straightforward illustration is tossing a fair (impartial) coin. Since there are no other conceivable outcomes and the coin is fair, the odds of both the possibilities, "heads" and "tails," are equally likely to occur. As a result, the probability of either occurrence is half.
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pls help shading inequalities
The three inequalities that satisfies all the points in the unshaded region of the graph of inequalities are;
The three inequalities that satisfies all the points in the unshaded region are;
x ≤ 5y ≤ 102•x + y ≥ 10What are the inequality notation that can be used to represent the unshaded region.1) The inequality that represents the unshaded region to the left of the vertical dashed line at x = 5 is found as follows;
A region to the left of a vertical dashed line in inequality is represented by the less than or equal to symbol, ≤. The region to the right is represented by ≥
The region to the left of the dashed line, x = 5 is therefore;
x ≤ 5.2) The region located below the dashed line y = 10 is represented by the inequality;
y ≤ 103) The slope, m, of the dashed line that extends from point (0, 10) to point (5, 0) is given by the equation;
m = (0 - 10)/(5 - 0) = -2
The equation of the line is therefore;
y - 0 = -2 × (x - 5) = -2•x + 10
y = -2•x + 10
Which gives;
y + 2•x = 10
2•x + y = 10
The inequality that represents the region to the right of the line 2•x + y = 10 is therefore;
2•x + y ≥ 10
The compound inequality, that represents the unshaded region is therefore;
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the shortest distance between two points on a sphere is group of answer choices a straight line an arc of a great circle an arc of a small circle
The shortest path between two points on the sphere is the arc of a great circle. Thus, option C is correct.
According to the statement
We have to find about the distance.
So, For this purpose, we know that the
The distance between two points is that the length of the path connecting them.
From the given information:
We have to search out that the the shortest distance between two points on a sphere.
Then we all know that the
Sphere is that the set of all points in three-dimensional space lying the identical distance from a given point, or the results of rotating a circle about one in every of its diameters.
Then
The shortest path between two points on the sphere is that the arc of a good circle.
According to this the option C is correct.
So, The shortest path between two points on the sphere is the arc of a great circle. Thus, option C is correct.
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HELP AGAIN PLEASE ITS DUE SOON
list the digits that repeat:
2/11 = 0. [?] [ ]
enter the number that belongs in the green box (or just boxes)
Answer:
0.18
Step-by-step explanation:
you just need to divide 2÷11 until 2 decimal places
Laura is 32 feet below the ground in a cave. If she ascends 8 feet, what is her new depth?
Answer:
40 feet
Step-by-step explanation:
Because 32+8=40
32
- 08
-----
40
Answer: -24 feet
Step-by-step explanation: ascending is rising so you would subtract feet, which in this case is 8 feet. after that you would consider that since she is underground the feet would be negative because she is below ground level which is zero. once you subtract it then you would get a grand total of -24 feet or 24 feet below the earth's surface but more than likely the answer would be -24 ft.
hope this was helpful :)- hailey <3
what is the product of (2.5+y) and (1.1y)
The product of the expressions (2.5 + y) and (1.1y) will be 2.75y + 1.1y².
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
The expressions are given below.
(2.5 + y) and (1.1y)
Then the product of the expressions (2.5 + y) and (1.1y) will be
⇒ (2.5 + y) × (1.1y)
⇒ 2.75y + 1.1y²
The product of the expressions (2.5 + y) and (1.1y) will be 2.75y + 1.1y².
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x / −6 ≥−20
solve for x
Answer:
[tex]x\leq 120[/tex]
---------------------------
Hope this helps!
Have a great day and God bless! :)
Help please(work provided)
Answer is angle 2
Reason
two angles are adjacent angles when they share the common vertex and a side.
See attached picture
Can someone pls help me with this one T—T
Answer:
13. x = 2 - 5y
14. x= 6y + 2
MARKING BRAINLEIST IF CORRECT
Answer:
C) corresponding angles
Step-by-step explanation:
AE is a transversal that crosses two parallel lines. Notice Angle ABC and BED are on the same corner. Hence, they are corresponding angles
John weighs 145 pounds and is gaining 2 pounds per month. Jim weighs 210 pounds and is losing 3 pounds per month. In how many months will they weigh the same?
Answer:
I believe the answer is 13 months.
Step-by-step explanation:
First you make an equation.
* 145 + 2x = 210 - 3x
* After you solve it!
> 145 = 210 - 5x
> -65 = - 5x
> -65/-5 = x
> 13 = x
It's going take 13 months for both to be on the same weight.
I hope you get this right.
BE is the perpendicular bisector of AD. Find the value of each variable.
14. AC = 5x - 7 and DC = 8x - 28
15. m/ACB = (7y - 8)°
Answer:
ac =13x-35
m/abc = 7y-8
Step-by-step explanation:
in first to minus of same base
second it remain same because it can't be subracted with different base
Given the equation of y-1=-9/2(x+7) what is the slope of any line parallel? M= blank
Answer:
Step-by-step explanation:
y - 1 = -9/2 (x + 7)
Distribute -9/2:
y - 1 = -9/2x - 63/2
Add 1 on both sides to isolate y:
(y - 1) + 1 = (-9/2x - 63/2) + 1
y = -9/2x -61/2
A line parallel to another has the same slope as that line so both slopes are -9/2.
M = -9/2
Which series of transformations shows that pentagon A is congruent to pentagon B?
A.
Reflect pentagon A over the y-axis, rotate it 180° clockwise about the origin, and translate it 3 units up.
B.
Rotate pentagon A 90° clockwise about the point (1, 1), reflect it over the x-axis, and translate it 3 units to the left.
C.
Rotate pentagon A 90° clockwise about the origin, reflect it over the x-axis, and translate it 6 units to the left.
D.
Reflect pentagon A over the y-axis and translate it 2 units to the left and 8 units up.
Using translation concepts, the series of transformations that shows that pentagon A is congruent to pentagon B is:
B. Rotate pentagon A 90° clockwise about the point (1, 1), reflect it over the x-axis, and translate it 3 units to the left.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, we have that the Pentagons have different orientations, meaning that it was rotated, eliminating options A and D.
For the vertices to reach the position they reached in Pentagon B, there had to be a shift left, and before the shift left, the Pentagon must have been entirely at the fourth quadrant, meaning that it was reflected about the point (1,1), and option B is correct.
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Hskskleksjejejekekosksososowowowkwkwkkw
Answer:
x = -168
Step-by-step explanation:
Multiply both sides of the equation by 4.
= -x = 168
Multiply both sides by −1.
x = -168
Hope it helps!!!
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please help math look in image 50 points
Answer:
1740
Step-by-step explanation:
Since the 10 has an exponent of 3, we can move the decimal of 1.74 to the left 3 times, which gives us 1740.
Answer:1740
Step-by-step explanation:
10x10=100
100x10=1000
1.74x1000=1740
HOPE THIS HELLPPPSSS : )
Graph: y= lx+2l+1
what are the coordinates of the vertex of the graph? The vertex is
Kenneth's bank account is modeled by the following equation f(x) = 13x+30
where x in the number of weeks and f(x) is total amount. How much money
was in Kenneth's account when it was opened?
When Kenneth opened her account, her account balance was 30.
A function is an expression that assigns each input value, say x, a unique output value, say y. Mathematically, a function can be represented as-
F(x) = x + a
Here, we are given that Kenneth's bank account is modeled by the following equation-
f(x) = 13x + 30
here, x = number of weeks
and f(x) = total amount
When Kenneth must've opened his account, the number of weeks would've been zero.
⇒ x = 0
Substituting the value of x = 0 in f(x), we get-
f(0) = 13(0) + 30
f(0) = 0 + 30
f(0) = 30
Thus, when Kenneth opened her account, her account balance was 30.
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on june 28, 2012 the u.s. supreme court upheld the much debated 2010 healthcare law, declaring it constitutional. a gallup poll released the day after this decision indicates that 46% of 1,012 americans agree with this decision. at a 95% confidence level, this sample has a 3% margin of error. based on this information, determine if the following statements are true or false, and explain your reasoning.
a. False. The sample is 46%. We are 95% that the proportion of the population is between 43% and 49%.
b. True, this is the correct interpretation of a confidence interval of proportions.
c. False. The confidence interval does not say anything about the proportion of samples, just about the population.
d. False. As the confidence level decreases, so does z, which means that the margin of error decreases.
In a sample with a number n of people surveyed with a probability of success of, and a confidence level of, we have the following confidence interval of proportions.
In which
z is the score that has a p-value of.
The margin of error is:
So the confidence interval can be written as:
Interpreting a confidence interval:
x% confidence interval between (a,b) means that we are 95% sure that the true proportion of the population is between a and b.
In this problem, we have that:
95% confidence interval between (43%, 49%).
a. We are 95% confident that between 43% and 49% of Americans in this sample support the decision of the U.S. Supreme Court on the 2010 healthcare law.
False. The sample is 46%. We are 95% that the proportion of the population is between 43% and 49%.
b. We are 95% confident that between 43% and 49% of Americans support the decision of the U.S. Supreme Court on the 2010 healthcare law.
True, this is the correct interpretation of a confidence interval of proportions.
c. If we considered many random samples of 1,012 Americans, and we calculated the sample proportions of those who support the decision of the U.S. Supreme Court, 95% of those sample proportions will be between 43% and 49%.
False. The confidence interval does not say anything about the proportion of samples, just about the population.
d. The margin of error at a 90% confidence level would be higher than 3%.
False
As the confidence level decreases, so does z, which means that the margin of error decreases.
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PLEASE PLEASE PLEASE ANSWER CONFIDENTLY
Evaluate the expression when p = 5
-|-3p|
Answer:
-15
Step-by-step explanation:
p = 5
- | -3(5 | = - | -15 | = - | 15 | = -15
help questions 3-5 (negative and positive numbers)
Answer:
good luck broooooooooo
alan is driving west at a rate of 50 mph towards a intersection. beatrice is driving north at 60 mph away from the same intersection. at what rate is the distance them changing when alan is 0.6 mile and beatrice is 0.8 mile from the intersection?
Distance between Alan and Beatrice is changing at the rate of 102.667 mph.
What is time?Time is the continuous flow of existence and the events that take place in what appears to be an unbreakable sequence from the past, present, and forward into the future. Time is often referred to be a fourth spatial dimension in addition to the three others.
Philosophers, theologians, and scientists have long considered time to be an important subject of study, but they have never been able to agree on a definition of time that can be used across all of these fields without becoming circular. However, a wide range of fields, including business, industry, sports, the sciences, and the performing arts, all include some form of the concept of time into their own measurement schemes.
[tex]D_{x}=60t\\D_{y}=x-50t\\D=\sqrt{(D_{x})^2+(D_{y})^{2}} \\D=\sqrt{(60t)^2+(x-50t)^2}[/tex]
where t is time and D is the distance
We know, S=D*D
So,
[tex]S=3600t^2+x^2+2500t^2-100xt\\\frac{dS}{dt} = 7200t+5000t-100x\\=12200*\frac{8}{600}-100*0.6\\ =\frac{308}{3}[/tex]
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Express 28 + 42 as the product of the greatest common factor (GCF) of the two numbers and a sum of two numbers.
Answer:
14 is there (GCF) 28+42=70
If a={a,b,c,d,e,h}, b={b,c,d,f,g} and c {a,c,e,f,h,i}, then verify that
A) a-(b union c)=(a-b) intersection (a-c)
B) a intersection (b-c) =(a intersection b)-(a intersection c)
From given A={a,b,c,d,e,h}, B={b,c,d,f,g} and C= {a,c,e,f,h,i}
result related to union and intersection of sets are verified
A). A- (B∪C)=(A - B)∩ (A- C)
B). A∩(B-C) =(A∩B) - (A∩C)
As given,
A={a,b,c,d,e,h}
B={b,c,d,f,g}
C={a,c,e,f,h,i}
A). A- (B∪C)={a,b,c,d,e,h} - { a,b,c,d,e,f,g,h,i}
= { }
(A - B)∩ (A- C)={a,e,h} ∩ {b,d}
={ }
⇒A- (B∪C)=(A - B)∩ (A- C)
B) A∩(B-C)={a,b,c,d,e,h} ∩{b,d,g}
={b,d}
(A∩B) - (A∩C)={b,c,d} -{a,c,e}
={b,d}
⇒A∩(B-C)=(A∩B) -(A∩C)
Therefore, from given A={a,b,c,d,e,h}, B={b,c,d,f,g} and C= {a,c,e,f,h,i}
result related to union and intersection of sets are verified
A). A- (B∪C) =(A - B)∩ (A- C)
B). A∩(B-C)=(A∩B) - (A∩C)
The complete question is:
If A={a,b,c,d,e,h}, B={b,c,d,f,g} and C= {a,c,e,f,h,i}, then verify that
A). A- (B∪C) = (A - B)∩ (A- C)
B). A∩(B-C) = (A∩B) - (A∩C)
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