Answer:
after 7 years is $210.
Step-by-step explanation:
To calculate the total interest earned by Aliya's college savings account, we need to use the formula:
I = P * r * t
where I is the total interest earned, P is the principal (initial amount deposited), r is the interest rate (as a decimal), and t is the time (in years).
In this case, Aliya deposited $300, the interest rate is 10% or 0.1, and the time is 7 years. Plugging in these values, we get:
I = $300 * 0.1 * 7 = $210
the total interest earned by Aliya's college savings account after 7 years is $210.
HOPE THIS HELPS :)
solve systems using elimination (x + 5y= 28) ( -x - 2y = -13)
Answer:
5
Step-by-step explanation:
5y=28-x
x=-2y+13
5y=28+2y-13
5y=15+2y
3y=15
y=5
Manny uses a sprinkler system to water his lawn. Each lawn sprinkler sprays a distance of 9 feet in every direction. One lawn sprinkler is broken and is only spraying two thirds of the area it usually covers. How many square feet of the yard is being watered by the broken sprinkler? Leave the answer in terms of π.
6π square feet
12π square feet
27π square feet
54π square feet
EXPANDING BRACKETS -
4p(p-7q)
we need to multiply 4p by the multiples in parentheses
[tex]4p \times p = {4p}^{2} [/tex]
[tex]4p \times 7p = {28p}^{2} [/tex]
[tex]4p( p- 7p) = {4p}^{2} - {28p}^{2} [/tex]
GOOD LUCK:)
The factorized value of the equation is solved and A = 4p² - 28pq
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
Let the expression be represented as A
Now , the value of A is
A = 4p ( p - 7q )
4p(p-7q) can be expanded as follows:
4p(p-7q) = 4p * p + 4p * (-7q)
A = 4p² - 28pq
Hence , the expanded form of 4p(p-7q) is 4p² - 28pq
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Can someone help me with both these questions?
Answer:
I don't understand
Step-by-step explanation:
where are the answers?
A plane intersects a right rectangular pyramid. The base of the pyramid has a length that is twice its width. Which of the following shapes could describe the intersection of the plane and the pyramid?
Responses
a square
a triangle
a trapezoid
a non-square rectangle
a non-regular pentagon
Answer: CCCCCCCCC
Step-by-step explanation:
Four points are drawn on the coordinate plane and connected with straight lines to form a rectangle. Three of the vertices of the rectangle are located at (2, 1), (2, 4), and (-4, 4). What are the coordinates of the fourth vertex of the rectangle? What are the dimensions of the rectangle? What is the area of the rectangle?
To find the fourth vertex of the rectangle, we can start by drawing a diagram:
========================================
|
| (2,4)
|
--------.--------
|
(?, ?) | (2,1)
|
========================================
We know that opposite sides of a rectangle are parallel, so the fourth vertex must be located on the same horizontal line as the point (2, 1) and the same vertical line as the point (-4, 4). Therefore, the fourth vertex must be located at (-4, 1).
To find the dimensions of the rectangle, we can find the distance between the points (2, 1) and (2, 4) to get the length of one side, and the distance between the points (2, 1) and (-4, 1) to get the length of the other side.
Length = 4 - 1 = 3
Width = 2 - (-4) = 6
So the dimensions of the rectangle are 6 by 3.
To find the area of the rectangle, we can multiply the length and width together:
Area = Length x Width = 6 x 3 = 18 square units.
WILL GIVE BRAINLIESTT!! 13 Points! HURRYYY! Madison is monitoring the temperature over several hours.
Loook at pic attachment.
Her data are shown in the table. She draws a line of best fit with the equation y = -6.2x + 64, where x represents the hour and y represents the temperature.
Describe the meaning of the slope and y-intercept in this context
A. The slope applied to this situation is the temperature drops 6.2 degrees per hour. The y-intercept means at hour 0 (start of recording data), it was a temperature of 64 degrees
B. The slope applied to this situation is the temperature drops 6.2 degrees per hour The y-intercept means at hour 1, it was a temperature of 6.2 degrees
C. The slope applied to this situation is the temperature drops 64 degrees per hour. The y-intercept means at hour 0, it was a temperature of 6.4 degrees
D. The slope applied to this situation is the temperature drops 6.2 degrees per 2 hours. The y-intercept means at hour 2, it was a temperature of 64 degrees
Answer:
Step-by-step explanation:
The correct answer is A.
In the context of this situation, the slope of -6.2 means that the temperature drops 6.2 degrees for every hour that passes. The negative sign indicates that the temperature is decreasing over time.
The y-intercept of 64 means that at hour 0 (the start of recording data), the temperature was 64 degrees. This is the initial value of the temperature, before any time has passed.
The slope and y intercept describes that
The slope applied to this situation is the temperature drops 6.2 degrees per hour. The y-intercept means at hour 0 (start of recording data), it was a temperature of 64 degrees.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have,
The line of best fit with the equation y = -6.2x + 64, where x represents the hour and y represents the temperature.
As, we know that the slope shows the rate of change of one quantity with respect to another quantity.
Here, the slope -6.2 tells us that the temperature drops 6.2 degrees per hour.
and, the y intercept tells us that at 0 hour the temperature is 64 degree.
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A train is early 1/6 of the time, on time 1/2 of the time, and late 1/3 of the time. Doreen wants to know the probability that the train will be late two times in a row. Explain how two 1-6 number cubes can be used to simulate this situation.
Answer:
Step-by-step explanation:
1/2 = 3/6 (on time)
1/3 = 2/6 (late)
1/6 = 1/6 (early)
3 times 2 is 6. You need the same denominators. What you do to the bottom you do to the top. So, 3x2=6 and 1x2=2. Therefore, you have 2/6. The 2 cubes can be used to show the probability of the train being late because we now know it is late 2/6 times and either early or on time 4/6 times.
PLEASE HELP! DUE TODAY
When the fraction below is written as a decimal, how many digits are in the smallest sequence of repeating digits?
1/11
A. 0
B. 1
C. 2
D. 3
Answer:
Step-by-step explanation:
D
The equation y=2000x represents the number of miles, y, that the satellite Space Explorer flies in x hours. Find the rate of change.
Answer: 2000 miles in 1 hour.
30 PTS PLS HELP ME One computer desk is located at (7, 2) on the map. Another is located at (7, -8). How many feet separate the two computer desks? Explain or show how you got your answer.
We know already that desk A and desk B are on the same column, since both coordinates' x factors are 7. So all we need to do now is find the difference of 2 and -8. So, we get the [very simple] equation [tex]2 - (-8) = d[/tex]. Now, when you subtract a negative, it's pretty much just adding, so we can simplify this equation to [tex]2 + 8 = d[/tex], and we all know [tex]2 + 8 = 10[/tex]. So the distance between the two desks is 10 units.
Hope this helps! If there is anything wrong feel free to point it out.
Have a nice day!
So the distance between the two desks is 10 units.
Step-by-step explanation:
desk A and desk B are on the same column, since both coordinates' x factors are 7. So all we need to do now is find the difference of 2 and -8. so we can simplify So the distance between the two desks is 10 units.
HOPE THIS HELPS HAVE A GREAT DAY GOODLUCK
Please answer the question
Answer:
the water tower is 143 3/4 feet
Step-by-step explanation:
5ft 9in height
4ft silhouette
Convert 9in to ft = 9/12 so height = 5 9/12 = 23/4
Ratio of height to silhouette is (23/4) / 4
X = 100 the height of the building
Set up a proportion (23/4)/4 = X/100
X = 143 3/4 ft
Find the probability of showing either
prime number on the first die or multiple of 5 on the second die
Step-by-step explanation:
The sample space for rolling two dice consists of 36 possible outcomes, as each of the six faces on the first die can be combined with any of the six faces on the second die.
To find the probability of showing either a prime number on the first die or a multiple of 5 on the second die, we can use the principle of inclusion-exclusion.
There are 3 prime numbers on a standard die: 2, 3, and 5. And there are two multiples of 5: 5 and 10. However, we need to be careful not to count the outcome (5,5) twice, as it satisfies both conditions.
So, the probability of showing either a prime number on the first die or a multiple of 5 on the second die is:
P(prime or multiple of 5) = P(prime) + P(multiple of 5) - P(prime and multiple of 5)
P(prime) = 3/6 = 1/2
P(multiple of 5) = 2/6 = 1/3
P(prime and multiple of 5) = 1/36
Therefore,
P(prime or multiple of 5) = 1/2 + 1/3 - 1/36
= 19/36
So the probability of showing either a prime number on the first die or a multiple of 5 on the second die is 19/36, or approximately 0.528.
PLEASE HELP AND EXPLAIN! DUE TODAY
Screenshot #2 is the previous question.
Its c.
To find the area of the parallelogram formed by the points (-5, 2), (2, 0), and (4, -4), we need to first find the fourth vertex of the parallelogram. Since opposite sides of a parallelogram are parallel and have equal length, the fourth vertex can be obtained by adding the vector formed by the points (-5, 2) and (2, 0) to the point (4, -4). This gives us the fourth vertex as (11, -6).
Next, we can use the distance formula to find the lengths of the two sides of the parallelogram. The length of the side connecting (-5, 2) and (2, 0) is sqrt(45), and the length of the side connecting (2, 0) and (4, -4) is 2sqrt(5).
Finally, we can use the formula for the area of a parallelogram, which is base times height, to find the area of the parallelogram. The base of the parallelogram is the distance of sqrt(45) between (-5, 2) and (2, 0), and the height is the distance of 2sqrt(5) between (2, 0) and (4, -4). Multiplying these values together gives us an area of 42 square units, which is option C.
Which equation shows the same relationship as 72×1/8=9?
Choose one answer:
Answer: its a :)
Explanation: since your trying get 72 on one side of the equation, you need to do the opposite of multiplication and that is division.
How many faces does a square pyramid not including it's base
Answer: A square pyramid has 5 faces, 8 edges, and 5 vertices.
Step-by-step explanation:
The required answer is a square pyramid (excluding the base) has four faces. A square pyramid consists of a square base and triangular faces that meet at a common vertex.
To determine the number of faces excluding the base, we can follow these steps:
Step 1: Identify the number of triangular faces.
In a square pyramid, there are four triangular faces that connect each corner of the square base to the apex (the top vertex). These triangular faces do not include the base.
Step 2: Determine the total number of faces.
In addition to the triangular faces, we need to consider the base of the pyramid. The base is a square, and it is not counted when we exclude the base. Therefore, the number of faces excluding the base is the same as the number of triangular faces.
Step 3: Calculate the number of faces.
Since we determined that a square pyramid has four triangular faces, the square pyramid (excluding the base) has four faces.
Hence, a square pyramid (excluding the base) has four faces. A square pyramid consists of a square base and triangular faces that meet at a common vertex.
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2-step equation(explination need please and thank you )
x-4/3>10
Answer:
x > 7.5
Step-by-step explanation:
1. Multiply the reciprocal of 4/3 to both sides (3/4)
- x> 10/1 x 3/4
- x >30/4
2. Simplify the equation:
- x > 30/4
- x > 7 2/4
7 2/4 - 7.5
ANSWER = x > 7.5
HELPPPPPPppppp.........
Answer: 36 ft sq
Explanation: use P.E.M.D.A.S. and your equation
The table shows the percent of students who are involved in extracurricular activities at Hopewell Middle School. Based on the data, how many students could you expect to join a club out of the 600 students that attend the middle school?
Answer: 270 students
Step-by-step explanation:
45% of the students joined a club, and there are 600 total students. To get 45% of 600, we just need to multiply 600 by the percentage in its decimal form, 0.45.
[tex]600*0.45=270[/tex] students
Please answer the question
Answer: x=1
Step-by-step explanation:
Since the angles are vertical that means they have to be equal.
So we can set the two equations equal to each other.
10 - x = 4x + 5
10 = 5x + 5
5 = 5x
x=1
Answer:
10 - x = 4x + 5
10 - 5 = 4x - x
5 = 3x
x = 1.6
x = 1.6
angle 1 = 10-1.6
= 8.4
angle 2 = 4(1.6)+5
= 11.4
2-step equation(explination need please and thank you )
Answer:
Step-by-step explanation:
Well if the equation is x-4/3>10 first assume the greater than symbol is an equal symbol.
Then add 4/3 to either side to get x>11 and 1/3 or 11.3333 repeating
Answer: the same as them
Step-by-step explanation:
Martin charges $10 for every 5 bags of leaves he rakes. Last weekend, he raked 24 bags of leaves. Complete the diagram and the equivalent rates to find how much he earned.
Delilah is designing a wooden toy box for her cousin. She drew a model of the toy box.
How much wood would Delilah need to make a box with these dimensions?
Answer:
i think its either 5 or 5.12
im not so sure but i hope it helps
Which angles are vertical to each other? Select all that apply.
Answer:
1 and 4
Step-by-step explanation:
Answer:
A. EAJ and IAH
Step-by-step explanation:
The answer is A. EAJ and IAH because if you notice, angle "EAJ" starts at "E", goes down to "A", and to the right to "J". Now, if you would again notice, angle "IAH" stars at "I", goes up to "A", and to the left to "H".
The definition of a verticle angle are angles opposite each other where two lines cross.
I have attacked an image below of an example of a verticle angle. If you would notice, the image of the vertical angle I attached looks the same as option "A. EAJ and IAH".
Have a nice day! <3
Question Solve for x. −43x+16<79 Drag and drop a number or symbol into each box to correctly complete the solution. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. x Response area Response area
Answer:
Step-by-step explanation:
The probability of flipping a coin and having it land on heads is 1/2. If a coin is tossed 4 times, how many times can you expect it to land on heads?
Answer:
we can expect the coin to land on heads 2 times out of 4 tosses.
Step-by-step explanation:
If the probability of flipping a coin and having it land on heads is 1/2, then the probability of it landing on tails is also 1/2.When a coin is tossed 4 times, each toss is an independent event, meaning the outcome of one toss does not affect the outcome of another toss. Therefore, we can use the binomial probability formula to find the expected number of times the coin will land on heads:Expected number of heads = n * pwhere n is the number of trials (4 tosses) and p is the probability of success (1/2 or 0.5 in this case).Plugging in the values, we get:Expected number of heads = 4 * 0.5 = 2
Solve below pls show work
Answer:
i believe its 90cm^2
Step-by-step explanation:
20x3/4=15 (reduce side 1)
8x3/4=6 (reduce side 2)
6x15=90 (multiply the sides to find the area)
Please Help Me This is due today
Answer:
A
Step-by-step explanation:
the formula is A=πr2!!! So since diameter is 10, 10/2 = 5 that means 5 is the radius, 5^2 = 25, 25*π = 78.54
Your welcome!
Thirty-two percent of the jewelry items a company produces are earrings. Which equation represents the relationship between the number (n) of jewelry items that are NOT earrings and the total number (t) of jewelry items produced?
A. n = 0.32t
B. n = 0.68t
C. n = 32t
D. n = 68t
PLS ANSWER!
Answer:
The percentage of earrings is 32%, which means that the remaining percentage of jewelry items that are not earrings is 100% - 32% = 68%. Therefore, the equation that represents the relationship between the number (n) of jewelry items that are not earrings and the total number (t) of jewelry items produced is: n = 0.68t So, the correct answer is B.
B) n = 0.68t.
If 32% of the jewelry items produced are earrings, then 68% of the jewelry items produced are NOT earrings. Therefore, the equation for n is n = 0.68t.