Answer:
x = 1,200 + 1,200(0.025)(0.75)
Step-by-step explanation:
The initial deposit of $1,200 is added to the total amount in the account after 9 months, so we start with 1,200 + ?
The annual interest rate is 2.5%, but we need to calculate the interest earned in 9 months. To do this, we can multiply the annual rate by the fraction of the year represented by 9 months, which is 0.75 (9/12). So the interest earned is 1,200(0.025)(0.75).
Adding the interest earned to the initial deposit gives us the total amount in the account after 9 months, which is x.
Answer:
C
Step-by-step explanation:
Seeing has his initial deposit is 1200
We first convert 2.5% to a decimal making it 0.025 because we moved the decimal 2 places back seeing as 100 percent only has 2 0s
It's also asking us how much money is in his account in 9 months meaning we have to times it by 9 and not 0.75
Of 100 random student surveyed, 42 own a dog, 33 own a cat, and 16 own a dog and cat, and 9 own neigher a dog or cat. Based upon the results, how many of the next 150 students surveryed would you expect to own a dog and cat?
Answer:16
Step-by-step explanation:
150/100=1.5
16x1.5=24
Which angles are complementary to AFB? Select all that apply.
Answer:
Step-by-step explanation:
/_BFC
*50 POINTS* 7th Grade Geometry please help
Answer:
D.4
Step-by-step explanation:
Part B: Alex has 270 sugar cubes, like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes.
Determine the volume, in cubic inches, of the box.
Step-by-step explanation:
For the rectangular prism, the volume is obtained as 51840 cubic inches.
What is volume?
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
First, we need to find the total volume of the 240 cubes.
Since each cube has a side measuring 1/2 ft, the volume of each cube is (1/2 ft)³ = 1/8 cubic feet.
Therefore, the total volume of the 240 cubes is -
240 × (1/8) = 30 cubic feet
Next, we need to convert this volume to cubic inches.
Since 1 foot = 12 inches, 1 cubic foot = (12 inches)³ = 1728 cubic inches.
Therefore, the volume of the 240 cubes in cubic inches is -
30 × 1728 = 51840 cubic inches
Finally, we need to find the volume of the larger rectangular prism that contains all the cubes.
The volume will be the same as the volume of 240 cubes.
Therefore, the volume value is 51840 cubic inches
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Help pls!! It's just a question....
[tex]\frac{a^{2} +b^{2} }{2}[/tex] to [tex]\left \ {{a=-1} \atop {b=-2}} \right.[/tex]
The result is [tex]\frac{7}{2}[/tex] , but I want to know the calculation for this result.
A click beetle abruptly releases elastic energy stored in its body to launch itself into the air. The function h(t)=−16t^2+8t represents the height h (in feet) of the click beetle t seconds after launching. The height of a second click beetle t seconds after launching is shown in the graph. Which click beetle went higher?
Answer:
The first click beetle went higher.
Step-by-step explanation:
The vertex is the minimum point of a parabola that opens upwards, or the maximum point of a parabola that opens downwards.
Since the height of each of the beetles at time, t seconds, is modelled as a parabola that opens downwards, the maximum height of each beetle is the y-value of the vertex.
First Click BeetleThe function representing the height, h, of the first beetle is:
[tex]h(t)=-16t^2+8t[/tex]
We could complete the square to rewrite the function in vertex form, however the quickest way to find the vertex of a quadratic function in the form ax² + bx + c is to use the formula for the x-value of the vertex:
[tex]\boxed{x_{\sf vertex}=-\dfrac{b}{2a}}[/tex]
Comparing ax² + bx + c with the given function:
a = -16b = 8c = 0Therefore, substituting the values of a and b into the formula, the x-value of the vertex of h(t) is:
[tex]x_{\sf vertex}=-\dfrac{8}{2(-16)}=0.25[/tex]
To find the y-value of the vertex, and thus the maximum height of the first beetle, simply substitute t = 0.25 into function h(t):
[tex]\begin{aligned}\implies h(0.25)&=-16(0.25)^2+8(0.25)\\&=-16(0.0625)+2\\&=-1+2\\&=1\end{aligned}[/tex]
Therefore, the maximum height of the first beetle is 1 foot.
Second Click BeetleFrom inspection of the given graph modelling the height of the second beetle, we can see that the maximum y-value is approximately 0.76 feet.
ConclusionAs the height of the second click beetle is less than the maximum height of the first click beetle, the first beetle went higher.
Mason plays a game by flipping a fair coin. He wins if the coin lands facing heads-up. What is the probability, as a fraction, that Mason wins the game?
(I need an actual answer, pls)
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
There are two ways a fair coin can land: heads and tails. Since there is an equal chance that the coin lands on heads and tails, there is half chance ([tex]\frac{1}{2}[/tex] or 50%) that the coin lands heads-up.
∴ Therefore, the probability as a fraction is [tex]\frac{1}{2}[/tex].
Hope this helps!
What does it mean if the slope of a ramp is -7/21 feet? Hint:( up, down, left, right )
Answer:
slope= -7/21
Go down by 7
go right by 21
Answer: slope= -7/21
Go down by 7
go right by 21
Step-by-step explanation: slope ratio means that for every two inches of rise, you would need one foot of ramp
What is an angle that is complementary to FGA?
Answer: Angle AGB
Step-by-step explanation: Complementary angles are two angles that in total their measures add up to 90 degrees.
We can see the opposite angle across FGB, CGB is a right angle so therefore it means FGB is a right angle.
Since we know FGB is a right angle, FGB + AGB = 90 degrees
Please answer the question
Which angles are vertical to GBH? Select all that apply.
-88-5(-4)+110.3
help please
Answer:
42.3
Step-by-step explanation:
= -88-5*(-4)+110.3
= -88-5*-4+110.3
= -88--20+110.3
= -88+20+110.3
= -68+110.3
= 42.3
I hope this helps!
Solve with steps given
Answer:
34.54
Step-by-step explanation:
C = πd
C = 11 in * 3.14 = 34.54
EXPANDING BRACKETS -
2x(5x-2)
HELP ME! please This needs to be done.
The expression that correctly shows the number sentence - the square of the sum of 6 plus b is greater than 10 - is option (a) - [tex](6+b)^{2} > 10[/tex]
A mathematical statement made up of a relational symbol (=, >, <, etc.) and of two expressions is called a number sentence is . An equation is a number sentence whose relational symbol is the equal sign.
The given number sentence is an example of mathematical expressions in one variable.
Here, the variable given is 'b'.
According to the question,
The sum of 6 plus b can be represented as = 6 + b
And, the square of the sum of 6 plus b can be represented as = [tex](6+b)^{2}[/tex]
This value is greater than 10.
This means, [tex](6+b)^{2} > 10[/tex]
All other expressions are wrong interpretations of the given number sentence.
The correct answer is option (a) - [tex](6+b)^{2} > 10[/tex]
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The figure above is made from 1 cm cubes. What is the volume of the figure?
A.
54 cubic cm
B.
44 cubic cm
C.
48 cubic cm
D.
38 cubic cm
Please answer asap!!!
What is the difference between the mean number of boxes of donuts sold during the first 3 months of last year and the first 3 months of this year?
Answer:
difference is 2 boxes
Step-by-step explanation:
A) first 3 months of last year
435+428+437/3 = 433
B) the first 3 months of this year
450+406+450/3 = 435
C) difference is 2 boxes
Which figure can be formed by the net?
Option (D)
Step-by-step explanation:It is option (D) by the following reasons -
REASON 1 - The net has 4 sides.
So, Option (A) and (B) are canceled as they have 5 sides in the obtained figure.
REASON 2 - The net has two 8 inched sides and one 14 inched sides.
So, Option (C) is canceled as it has two 14 inched sides and one 8 inched side.
REASON 3 - The answer is Option (D)
As all the remaining options are canceled, the left over Option is only Option (D).
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Please Help!!! I will give brainlist if right and explained!!!
Answer:
Net worth = Assets - Liabilities
Assets' total = $315,400
Liabilities' total = $153,300
Net worth = $162,100
What is the value of 34x2+5 when x=2 ?
2k–14 ≤ 10
Pls helppp meee
Answer: k = 12
Step-by-step explanation:
2k–14 ≤ 10
1. Remove the 14 from the equation by adding it to the 10 (10 + 14)
2k ≤ 24
2. Get k to be by itself by dividing the 2 from 24
24/2 = 12
k = 12
Please help!!!
Which angle number represents an angle adjacent to
Adjacent angles are those angles that are always placed next to each other in such a way that they share a common vertex and a common side but they do not overlap each other.
The properties of adjacent anglesAdjacent angles always share a common arm.They share a common vertex.They do not overlap.They have a non-common arm on both sides of the common arm.Two adjacent angles can be supplementary or complementary based on the sum of the measures of the individual angles.Here is a list of a few important notes related to the adjacent angles.When two angles are adjacent, then their sum is the angle formed by two non-common arms and one common arm.If a ray stands on a straight line, then the sum of adjacent angles formed is 180°.If the sum of two adjacent angles is 180° then they are called a linear pair of angles. All linear pairs are supplementary because supplementary angles sum up to 180°. However, all supplementary angles need not be linear pairs. To form a linear pair the lines need to intersect each other and must form adjacent angles.If the sum of two adjacent angles is 180° then the non-common arms form a line.
So the Adjacent Angle to ∠LSP is ∠PSM.
∠PSM number is 5
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A deli is trying out new labels for their cylindrical-shaped wheels of cheese. The label covers the entire wheel except the circular top and bottom.
If the wheel has a radius of 22 centimeters and a height of 16 centimeters, how many square centimeters of the wheel does the label cover?
A teacher put all her students' quiz scores up on the dot plot below. please help me
Help me this is due today!
Answer:
B
Step-by-step explanation:
According to your question B is answer
The inequality x ≤ 20 has 20 positive whole-number solutions. These solutions are the whole numbers from 1 to 20, inclusive.
In mathematics, a relation that makes a non-equal comparison between two numbers or other mathematical expressions is called an inequality. It is used to compare two numbers by their size on the number line most often. Following are several notations that are used to represent different types of inequalities:
a < b: a is less than b.
a > b: a is greater than b.
a ≤ b: a is less than or equal to b.
a ≥ b: a is greater than or equal to b.
a ≠ b: a is not equal to b.
Inequalities can be solved using similar methods as equations but with some additional rules. For example, when multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality sign must be reversed.
According to the question, x is lesser than or equal to 20.
We have to only find the positive whole-number solutions.
Therefore, x values start from 1 and end at 20, including 1 and 20 both.
Thus, The inequality x ≤ 20 has 20 positive whole number solutions.
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I need help plsssssss
Answer:
y = 3/4 + 4
Step-by-step explanation:
Y Intercept = The number on the Y-Axis that the line crosses (Which is 4 on this question)
Slope = Rise/Run (Starting from the top of the line, count 3 down & 4 right to reach a whole number coordinate)
According to some estimates, our galaxy, the milky way contains about two hundred billion stars. Use digits to write that number of stars
Each dozen donuts sell for $6.99. What is the difference, in dollars, between the total sales from the new box over 6 months this year and the total sales from the original box over 6 months last year?
Answer: The original box is 180 Inches², the new box is 330 inches²
Explore all similar answers
Step-by-step explanation:
HURRRY! Keiko and Eric each randomly surveyed people with cell phones. They recorded peoples’ ages (a years) and how many texts they send per day on average (t texts). For their respective data, they each drew a line of best-fit and determined its equation. They then compared equations and made inferences based only on the equations they calculated.
Look at attachment.
Determine whether you agree or disagree, based only on the equations above, with
the inferences drawn below.
Keiko states that she has a higher rate of change than Eric. Agree or Disagree.
Agree
Disagree
Answer:
Step-by-step explanation:
Agree. Based on the equations above, Keiko's line has a steeper slope than Eric's line, indicating a higher rate of change in the number of texts per day with respect to age.
Write an inequality and use substitution to solve the following problem:
A couple is remodeling a room in their house. They have already purchased carpet for the room for $2,000. If their budget is a maximum of $5,100, determine which of the following costs they can afford for a furniture set.
Check all that are true.
$7,100
$3,050
$3,400
$5,300
$5,100
Answer:7100
Step-by-step explanation:
Answer: the answer is 7100 your welcome!!!!!