Answer:
$3,928.59
Step-by-step explanation:
To find the balance in the account after 6 years with a principal of $3500, earning compound interest at a rate of 2.29% compounded monthly, we can use the formula for compound interest:
A = P * (1 + r/n)^(n*t)
Where:
A = the final balance in the account
P = the principal amount (initial deposit) = $3500
r = the annual interest rate (as a decimal) = 2.29% = 0.0229
n = the number of times interest is compounded per year = 12 (monthly compounding)
t = the number of years = 6
Plugging in these values, we can calculate the balance:
A = 3500 * (1 + 0.0229/12)^(12*6)
A = 3500 * (1.0019083)^(72)
A ≈ $3,928.59
So, the balance in the account after 6 years, with a principal of $3500, earning compound interest at a rate of 2.29% compounded monthly, would be approximately $3,928.59.
What is the slope of a line that is perpendicular to the line y = 1/6x + 4
The slope of the line is
Answer:
-1/6x
Step-by-step explanation:
for a slope to be perpindicular it has to be the opposite.
Hello there! :)
Perpendicular lines have slopes that are opposite reciprocals. It means that if we have a number, we flop it over and make it negative.
We have 1/6.
We flop it over:
6/1
Now, we make it negative:
-6/1
-6/1 simplifies to
-6
Hope it helps!
If you have any question, feel free to ask!
~An excited gal
\(MagicalNature\) here to help :)
Each person at a
baseball game receives 3 raffle tickets
and a $2 certificate for the team store.
A group of people receives 39 raffle
tickets. How much money in certificates
does the group receive?
In a case whereby baseball game receives 3 raffle tickets and a $2 certificate for the team store. A group of people receives 39 raffle tickets the amount of money in certificates the group receive is $26.
How can this be calculated?If one baseball game receives 3 raffle tickets and a $2 certificate for the team store, then we can say that each raffle ticket is worth 2/3 dollars ($2 divided by 3 tickets).
So, for 39 raffle tickets, the group would receive (39 x 2/3) = $26
Therefore, the amount of money in certificates the group receive is $26
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4. Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.
How long will it take for Peter to finish the job alone?
How long will it take for Emily and Peter to finish the job together.
According to the unitary method,
A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.
B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.
Unitary method:
In math, unitary method refers the process of finding the value of a single unit, and based on this value.
Given,
Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.
Here we need to find the following:
A) The time take for Peter to finish the job alone
B) The time taken for Emily and Peter to finish the job together
Let us consider x be the time taken for Peter to finish the job alone.
So, based on the given question we can write it as,
=> 1/6 + 1/8 + 1/x = 1/2
=> (8 + 6)/48 + 1/x = 1/2
=> 14/48 + 1/x = 1/2
=> 7/24 + 1/x = 1/2
=> 1/x = 1/2 - 7/24
=> 1/x = 12 -7/24
=> 1/x = 5/24
=> x = 24/5
=> x = 4.8
So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.
Then the time taken for Emily and Peter to finish the job together is calculated as,
=> 5/24 + 1/6
=> 5 + 4/ 24
=> 9/24
=> 3/8
Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.
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31 Four points are plotted on the number line.
0
W
+
X Y
Z
1
Which point best represents 331% of the distance between 0
and 1?
A Point W
B Point X
C Point Y
D Point Z
Answer:
To find the point that best represents 331% of the distance between 0 and 1, we need to first calculate 331% of the distance between 0 and 1, which is:
331% of (1 - 0) = 3.31 * (1 - 0) = 3.31
So we want to find the point on the number line that is 3.31 units away from 0.
Looking at the number line, we can see that the distance between W and X is 1 unit, the distance between X and Y is 1/3 unit, and the distance between Y and Z is 2/3 unit.
Therefore, the point that best represents 331% of the distance between 0 and 1 is the point that is 1 unit away from 0 and then an additional 0.31 units away from that point. This point is on the segment between W and X, and is closer to X.
So, the point that best represents 331% of the distance between 0 and 1 is Point X.
Therefore, the answer is (B) Point X.
Please help, this is on final. I need how you got the answer and what the answer is.
Answer:
Angle 1 is congruent to the angle that is supplementary to angle 2. Angle 2 is also congruent to angle 3 due to the Corresponding angles theorem. Since angle 2 is supplementary to angle 1 and angle 3 is congruent to angle 2. This shows that angle 1 and angle 3 are supplementary.
Step-by-step explanation:
Answer:
I can't see it that wel..?m
sat question I can’t seem to understand fully.
The value of m + n is given as follows:
A. 18.
How to obtain the value of m + n?The exponential expression for this problem is defined as follows:
\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)
Applying the power of power rule, we have that the exponents are given as follows:
x: 5/5 + 3/4 = 1 + 3/4 = 7/4.y: 6/5 + 4/4 = 6/5 + 1 = 11/5.Then the values of m and n are given as follows:
m = 7, n = 11.
Thus the sum is given as follows:
m + n = 7 + 11 = 18.
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Suppose that Ina is a typical woman and Ted is a typical man. Based on the research discussed in the textbook, which of the following is most likely to be true?
The most likely to be discussed in a feminist criticism of Chinua Achebe's work is his portrayal of gender roles and Ina is a typical woman . The correct option is 2.
What is a novelist person?
A novelist is a person who writes novels. The key to success as a romantic novelist is absolute belief in your story. Synonyms: author, writer More Synonyms of novelist
Who is Chinua Achebe?
Chinua Achebe is a novelist and poet. He is famous for his pivotal direction in literature of Africa. His first novel was Things fall apart.
The options are attached here:
his life story and literary achievements
his portrayal of gender roles
his descriptions of the landscape
his literary influences and preferences
Thus, the correct option is 2. his portrayal of gender roles.
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There is a bag of colored beads in the craft box. The colors of the 50 beads are shown in the table below.
We know there is a total of 50 beads. Since a bead can't be two colors at the same time
\(P(A\cup B)=P(A)+P(B)\)In this case
\(P(R\cup G)=P(R)+P(G)=\frac{7}{50}+\frac{8}{50}=\frac{15}{50}=0.3\)Thus, the probability of selecting a red or green bead is 0.3 or 30%
The dot plot shows the time trials of an experiment. Each number on the dot plot represents the amount of time, in seconds, it took to complete a trial. How many time trials were recorded during the experiment? Enter the answer in the box. time trials A number line ranging from 15 to 25 with two dots over 15, three dots over 17, two dots over 19, two dots over 20, one dot over 21, four dots over 23, one dot over 24, and three dots over 25.
There were 18 time trials recorded during the experiment.
To determine the number of time trials recorded during the experiment, we count the total number of dots on the dot plot.
According to the given information, we have:
- Two dots over 15
- Three dots over 17
- Two dots over 19
- Two dots over 20
- One dot over 21
- Four dots over 23
- One dot over 24
- Three dots over 25
By adding up these counts, we get:
2 + 3 + 2 + 2 + 1 + 4 + 1 + 3 = 18
Therefore, there were 18 time trials recorded during the experiment.
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3. Compare the equation with the graph of the function. Assume this graph is a transformation from
f(t) = -622². What does the term -3.7 do to the rocket's graph? What does the value t = 3.7 represent in
the science project? (What happens to the rocket?) (2 points)
4. Again assuming a transformation from f(t) = -6²2, what does the term 82.14 do to the rocket's graph?
What does the value h(t) = 82.14 represent in the science project? (What is happening to the rocket?) (2
points)
5. Serena and Jack launch the second rocket 3 seconds after the first one. How is the graph of the
second rocket different from the graph of the first rocket? Describe in terms of the vertical and horizontal shift?
The vertical position of the graph will remain the same since both rockets have the same initial height.
What is a graph ?
Graph can be defined in which it is a visual representation of data using ordered pairs.
The term -3.7 in the equation f(t) = -6t^2 - 3.7 will shift the graph horizontally by 3.7 units to the left. This means that the rocket will reach its highest point 3.7 seconds earlier than it would have without the shift. The value t = 3.7 represents the time when the rocket reaches its highest point.
The term 82.14 in the equation f(t) = -6t^2 + 82.14 will shift the graph vertically upwards by 82.14 units. This means that the rocket will start at a higher position than it would have without the shift. The value h(t) = 82.14 represents the initial height of the rocket.
Launching the second rocket 3 seconds after the first one will result in a horizontal shift of the graph of the second rocket to the right by 3 units. This is because the second rocket starts 3 seconds later than the first one.
Therefore, the vertical position of the graph will remain the same since both rockets have the same initial height.
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Use the number line to identify the least value, first quartile, median, third quartile, and greatest value of the data.
Temperatures (in degrees Celsius): 5, 1, 4, 0, 9, 0, −8, 5, 2, 4, −1, 10, 7, −5
The median based on the number lines given will be 3.
How to calculate the median?It should be noted that the median simply means the number in the middle when the numbers are arranged in ascending or descending order.
The median will be:
-8, -5 -1, 0, 0, 1, 2, 4, 4, 5, 5, 7, 9, 10. Here, the median will be:
= (2 + 4)/2
= 3
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|3y - 7| - 10 = -5 solve for y:
Answer: y=1.25
Step-by-step explanation:
First things first you have to find what is in the bracket things (i don’t know what it’s called) So 3 - 7 is -4y but since it’s absolute it’s going to be 4y.
So now you’ve got 4y - 10 = -5. Your going to want to eliminate 10 so, subtract 10 to both sides giving you 4y = -5
Lastly to get y by itself you need to divide it by its self so, 4y divided by 4. Do it to both sides. This gives you…
Y = 1.25
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b. Eight hundred fifty nine billion
one hundred twenty four
million ninety thousand
in number
Answer:
859,124,090,000
I'm pretty sure
Answer:
859,124,090,000 Eight hundred fifty nine billion one hundred twenty four million ninety thousand in number
720 companies 8 companies win what is the probability
Step-by-step explanation:
total outcomes = 720
favourable outcomes =8
=8/720
=0.01111
i need help with the question
The intersection points are: (0, -3) and (10, 2)
The bounded area is -20.83 unit²
How to find the intersection points?(a) The intersection points of the line and curve are the points where the line and curve meet. Thus, the intersection points are:
(0, -3) and (10, 2)
(b) The integral terms of y which gives the area bound are:
a = -3, b = 2 (These are the y values of the intersection points)
Since we have x = y² + 3y and x = 2y + 6, we can say:
y² + 3y = 2y + 6
y² + 3y - 2y - 6 = 0
y² + y - 6 = 0
Thus, h(y) =
Using a = -3 and b = 2 with h(y) = y² + y - 6, we have the bounded area as:
\(Area = \int\limits^b_a {y} \, dy\)
\(Area = \int\limits^{2}_{-3} {(y^{2} + y - 6}) \, dy\)
Integrating the area:
Area = [y³/3 + y²/2 - 6y + C]²₋₃
Area = [2³/3 + 2²/2 - 6(2)] - [(-3)³/3 + (-3)²/2 - 6(-3)]
Area = [8/3 + 2 - 12] - [-9 + 4.5 + 18]
Area = [-22/3] - [27/2]
Area = -125/6
Area = -20.83 unit²
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what is the circumference of this circle d=8cm round your answer to 2 decimal places
The circumference of the circle is 25. 12cm
How to determine the circumference of the circleThe formula for calculating the circumference of a circle is expressed as;
C = 2πr
Given that;
C is the circumference of the circleπ takes the constant value of 3. 14r is the radius of the circleThe formula for radius is expressed as;
Radius = diameter/2
Radius = 8/2
Radius = 4cm
Substitute the values
Circumference, C = 2× 3.14 × 4
Multiply through
Circumference = 25. 12cm
Hence, the value is 25. 12cm
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Please help! I need the answer to the whole of the question!
A coffe costs x pence. A teas costs 20pence less than coffe.
a) write an expression in term of x ___pence
b) write an expression in the terms of x, for the total cost of 3 coffees and 2 teas
Answer:
x+3+3
Step-by-step explanation:
So bassicly you have to add everything up ad then divide by 1
-2b – 12 = 22. what does b equal?
Answer:
b = -17
Step-by-step explanation:
-2b - 12 = 22
+12 +12
-2b = 34
-2b/-2 34/-2
b = -17
Answer:
-17
Step-by-step explanation:
-2B-12=22
-2B-2 (+12)=22+12 (add 12 to both sides to isolate the variable
-2B=24
-2B/-2=24/-2 (divide by -2 to isolate the variable)
B=-17
What property is named in the statement 3 (-1 x p) = 3 x (- p)?
Answer:
jaca
Step-by-step explanation:
If m angle BGF=152 degrees, what is m angle AGF
The Answer is: 64 degrees
Answer:
64
Step-by-step explanation:
Just confirming this is the answer for edge 2021
The sum of the measures of two complementary angles is 90°. If one angle measures 27° more than twice the measure of the other, find the measure of the smaller angle.
The smaller angle measures ____ Degrees
Answer:
21°
Step-by-step explanation:
Let smaller angle be x
Bigger angle = 2x + 27
Since they are complementary they all sum up to 90°
Therefore 2x + 27 + x = 90
3x = 90 - 27
3x = 63
x = 21, therefore the smaller angle is 21°
in isosceles triangle XYZ, angle X=117°. calculate angleZ
Answer:
31.5
Step-by-step explanation:
Angle Z+ Angle X+ Angle Y=180
As the triangle is isosceles, Z=X, hence Z=63/2=31.5
An engineer was supposed to draw a line exactly 27/32 inch long. An error was made,and he drew the line 31/32 inch.how much longer was the line that the engineer drew?)
Answer:
1/8 of an inch
Step-by-step explanation:
Since the denominator is the same, we only need to subtract the numerator
31 - 27 = 8.
Now we have to simplify 8/32.
Divide both sides by 8, and you get 1/8
The engineer drew the line 1/8 of an inch longer than needed.
Graph the function y = 4 square root of x. Then use the graph to find the missing x- or y-coordinates for the function to the nearest hundredth. (4, ) (5, ) ( , 2.59)
Answer:
(4, 2)
(5, 1.76)
(1.99, 2.59
Step-by-step explanation:
other dude is wrong dont let his explanation fool you because i acrtally got it wrong and it showe me
1) Solve for x
4x + 3 = 3x - 5
A) 8
C) -8
D) 2
B) -2
Enter the value of (-3)(2)(3).
Answer:
-18
Step-by-step explanation:
-3 × 2 = -6
-6 × 3 = -18
What is the CIRCUMFERENCE of the given circle?
12.57 in
30.23 in
25.13 in
50.27 in
(3, 4, 5, ...} is finite or infinite
The given set is (3, 4, 5, ...} is infinite set.
A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.
The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.
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factor completely
0.09y² - 0.81
Answer:
\(0.09y^2 - 0.81 = (0.3y+0.9)(0.3y-0.9)\)
Step-by-step explanation:
The difference of squares formula gives us
\(a^2 - b^2 = (a+b)(a-b)\)
(you can multiply this out to confirm)
\(0.09y^2 = (0.3y)^2\)
and
\(0.81 = 0.9^2\)
Thus, by the difference of squares formula
\(0.09y^2 - 0.81 = (0.3y+0.9)(0.3y-0.9)\)