The side lengths of such a triangle with a leg length of 5 and angles of 45, 45, and 90 are not listed in any of the options.
Explain about property of the right triangles?The right angle is established when 2 straight lines cross at a 90° angle or when they are perpendicular at the intersection. The symbol is used to indicate a right angle.
A triangle's (of all varieties) cumulative sum of angles is 180°.The length of a triangle's two longest sides added together is longer than for third side.Similar to this, the length of a third side of a triangle's third side is shorter than the difference between its two sides.For the given question:
Triangle with degree angles - 45-45-90
It means two legs are of same length 5 units.
Then, hypotenuse H will be:
H² = 5² + 5²
H² = 25 + 25
H² = 50
H = 5√2
Thus, the correct third side of the triangle will be 5√2.
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What is the least common multiple of 3 and 16?
In the image below, arc AB has a measure of 32 degrees.
What is the measure of the inscribed angle that intercepts it? (Angle ACB)
Therefore , the solution of the given problem of angles comes out to be the engraved angle ACB is 16 degrees in size.
An angle meaning is what?Using Cartesian coordinates, the top and bottom walls divide the circular lines that make up a skew's ends. There is a chance that two poles will meet at a junction point. Angle is another outcome of two things interacting. They mirror dihedral forms the most. A two-dimensional curve can be created by arranging two line beams in various ways at their extremities.
Here,
A circle's inscribed angle has a measure that is half that of the interrupted arc. As a result, the inscribed angle ACB intersecting arc AB with a measure of 32 degrees will have a measure of:
=> Angle ACB = 32 / (1/2)
=> ACB = 16 degree angle
As a result, the engraved angle ACB is 16 degrees in size.
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In ΔUVW,
�
�
‾
UW
is extended through point W to point X,
m
∠
�
�
�
=
(
�
+
19
)
∘
m∠UVW=(x+19)
∘
,
m
∠
�
�
�
=
(
�
+
13
)
∘
m∠WUV=(x+13)
∘
, and
m
∠
�
�
�
=
(
5
�
+
14
)
∘
m∠VWX=(5x+14)
∘
. Find
m
∠
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�
�
.
m∠WUV.
Answer:
m∠WUV=135°
Hope this helps.
Plot a point that best represents the value of square root 215 on the number line
Answer:
Put the point a tiny bit more than half way between 14 and 15.
Step-by-step explanation:
If you are allowed to use a calculator, put in sqrt215 and you get out 14.66, that goes a little bit more than halfway between 14 and 15.
If you are not allowed to use a calculator, think of the numbers on the numberline in terms of answers to *perfect square* questions.
So 12 is sqrt 144.
13 is sqrt 169.
14 is sqrt 196.
15 is sqrt 225.
So the 215 in your question is in between 196 and 225.
215 is closer to 225 (than to 196) so put the point closer to sqrt 225. That is, in between 14 and 15 and just a tad bit closer to 15.
Compare the two populations.
Help please (35 points)
The eighth grade class has a more consistent time spent on math homework. This can be seen in the histogram, which shows that the eighth grade class has a peak at 20 minutes.
What is consistent ?Consistent refers to something that remains unchanged or is regular and dependable over time. It is a dependable and steady quality or state. Consistency is important in many areas of life, from professional and personal relationships to commitments and expectations. Consistent behavior is sometimes a sign of reliability, trustworthiness, and dependability.
Consistent actions are important for maintaining relationships and for achieving goals. Consistency helps to create stability, reliability, and predictability. Without consistency, it would be difficult to know what to expect from people and situations.
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Mr. Sullivan's class typically spends more time on math homework, as the mean of their sample is slightly higher than that of Mrs. Farrington's class.
What is spend?Spend is an action that involves exchanging money for goods, services, or other items of value. When someone spends money, they take money out of their account or wallet and use it to purchase something.
Mrs. Farrington's class has a more consistent time spent on math homework, as the range of the sample is smaller than that of Mr. Sullivan's class.
For Mr. Sullivan's class:
The mean of the sample is 11.6, so the mean of the population is expected to be 11.6 as well. The standard deviation of the sample is 3.41. Therefore, the expected standard deviation of the population is 3.41.
Using the 68-95-99.7 rule, we can calculate the following:
68% of the population is expected to spend between 8.79 and 14.41 minutes on math homework.
95% of the population is expected to spend between 5.38 and 17.82 minutes on math homework.
99.7% of the population is expected to spend between 1.97 and 21.23
minutes on math homework.
Therefore, we can expect approximately 82 (68% of 120) students in Mr. Sullivan's class to spend between 9 and 12 minutes on math homework.
For Mrs. Farrington's class:
The mean of the sample is 11 and the standard deviation is 2.87. Therefore, we can expect the mean and standard deviation of the population to be 11 and 2.87, respectively.
Using the 68-95-99.7 rule, we can calculate the following:
68% of the population is expected to spend between 8.26 and 13.74 minutes on math homework.
95% of the population is expected to spend between 5.39 and 16.61 minutes on math homework.
99.7% of the population is expected to spend between 1.72 and 19.48 minutes on math homework.
Therefore, we can expect approximately 68 (68% of 100) students in Mrs. Farrington's class to spend between 9 and 12 minutes on math homework.
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Determine the area, in square feet, of a circle with a diameter of 8 feet. Round to the nearest tenth
Answer:
50.27 ft
Step-by-step explanation:
Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads. Use this information for Problems 1-5. Write each probability as a fraction in simplest form.
What is the theoretical probability of not selecting a red bead?
In theory, there is a 3/4 chance that you won't choose a red bead.
What is the probability formula?Typically, the probability is defined as the ratio of favourable events to all other outcomes in the sample space. The formula for probability of an occurrence is P(E) = (Number of favourable outcomes) (Sample space).
Out of a total of 52 beads, 13 are red, hence the likelihood of choosing a red bead is:
P(red) = 13/52 = 1/4
The complement of choosing a red bead is the likelihood of not choosing one, which is:
P(not red) equals P - 1. (red)
When we replace the value of P(red), we obtain:
P(not red) = 1-quarter
If we simplify, we get:
3/4 for P(not red).
So, there is a 3/4 chance that you won't choose a red bead in theory.
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Use the drawing tool(s) to form the correct answers on the provided grid.
Draw all of the lines of reflection for the given figure.
Drawing Tools
Select
Line
Click on a tool to begin drawing
Reset
Next
Delete
Undo
Reset
As a text-based AI, I am unable to use drawing tools or interact with grids. However, I can still help you understand the terms you mentioned and provide guidance on how to approach the problem.
1. "Delete": This term typically refers to removing an element or a part of the content you're working on. When working with a grid, you may need to delete some lines, shapes, or text that are not needed.
2. "Reset": Resetting refers to reverting a grid or a drawing tool to its original state, essentially starting from scratch. This can be useful if you've made multiple changes and want to begin anew without having to manually undo each step.
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Mr. Kwesi Oppong was appointed Financial Controller of Dukes Limited on an annual salary scale of GH¢85,000 X GH¢5,000 – GH¢130,000 on 1/7/2019. In addition, he was entitled to the following allowances:Acting Allowance GH¢5,000 per annumMedical Allowance GH¢300.00 a monthTransport Allowance GH¢250.00 a monthThe company provided him with a furnished accommodation at Hydrafon Estates and a vehicle with an official driver and free fuel.He has a Life Insurance Policy with the following details:Company Capital Sum Premium paid GH¢ GH¢Star Assurance 70,000.00 8,000.00 He is married with three children. The eldest son is in the University of South Africa (UNISA). His other son is in Adonten Senior High School in Aburi and the daughter is in Akosombo International School. He maintains all the children in addition to a 61 year old mother. He contributes 5.5% of his salary to Social Security.RequiredCalculate his chargeable income for the year of assessment 2022.
Mr. Oppong's chargeable income for the year of assessment 2022 is GH¢109,100.
What sort of revenue is charged, for instance?Taxes must generally be paid on all types of income, even those derived from a business or profession. Employment. Dividends.
We must take into account Mr. Kwesi Oppong's salary, benefits, and any deductions when determining his chargeable income for the assessment year of 2022.
Let's start by figuring out his gross revenue for 2022. The annual wage scale for Mr. Oppong is GH85,000 X GH5,000 - GH130,000, which denotes a salary range of GH85,000 to GH130,000. To make things easier, we might suppose that his pay is the midpoint of the range, or GH107,500.
His annual acting allowance is GHC 5,000, so the following would be his total income from salary and allowances:
GH107,500 plus GH5,000 plus (GH300 x 12) plus (GH250 x 12) equals GH114,500.
Next, we must look at his advantages. Mr. Oppong is given a vehicle with a designated driver and free fuel, as well as a furnished place to stay. They are taxable benefits, but in order to estimate their worth, we need more details.
Mr. Oppong also holds a life insurance policy with a GHC 70,000 capital and GHC 8,000 yearly premium. This is not a necessary component of his chargeable income.
Let's now explore the inferences made by Mr. Oppong. 5.5% of his income is put into Social Security by him. Since the Social Security rate is set at GH450 every month, Mr. Oppong can only contribute a maximum of GH5,400 (GH450 x 12) in a given year.
As a result, the following would be Mr. Oppong's chargeable income for the year of assessment 2022:
GH114,500 minus GH5,400 equals GH109,100.
Thus, GH 109,100 will be Mr. Oppong's chargeable income for the assessment year 2022.
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A bag has 2 blue cubes, 3 red cubes, and 5 green cubes. If you draw a cube and replace it in the bag 100 times, which of the following amounts would you expect to pull? Select all that apply. A) Pull more than 2 times as many green cubes as blue cubes B) Pull a green cube 50 times C) Pull a blue cube 20 times D) Pull more red cubes than green cubes E) Pull a blue cube 70 times
Pull a green cube 50 times; Pull a blue cube 70 times. The possible options are B and E.
Describe Probability?Probability refers to the likelihood or chance of an event occurring, expressed as a number between 0 and 1.
A probability of 0 indicates that an event is impossible, while a probability of 1 indicates that an event is certain to occur. For example, the probability of rolling a 7 on a fair six-sided die is 0, while the probability of rolling a 1, 2, 3, 4, 5, or 6 is 1/6.
Probabilities can also be expressed as percentages, with a probability of 0.5 (or 50%) indicating an even chance of an event occurring.
A) Pull more than 2 times as many green cubes as blue cubes:
Since there are only 2 blue cubes in the bag and 5 green cubes, it is highly unlikely that you would pull more than 2 times as many green cubes as blue cubes in 100 draws. Therefore, this option is unlikely.
B) Pull a green cube 50 times:
There are 5 green cubes in the bag, so it is possible to pull a green cube 50 times in 100 draws. Therefore, this option is possible.
C) Pull a blue cube 20 times:
There are only 2 blue cubes in the bag, so it is unlikely that you would pull a blue cube 20 times in 100 draws. Therefore, this option is unlikely.
D) Pull more red cubes than green cubes:
There are 3 red cubes and 5 green cubes in the bag, so it is possible to pull more red cubes than green cubes in 100 draws. Therefore, this option is possible.
E) Pull a blue cube 70 times:
Since there are only 2 blue cubes in the bag and you are drawing with replacement, it is highly unlikely that you would pull a blue cube 70 times in 100 draws. Therefore, this option is unlikely.
Therefore, options B and D are possible.
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3(2x+5)=3 what does x mean
Answer:
x=-2
Step-by-step explanation:
a punch bowl has a capacity of 8 quarts. a recipe fills the bowl 3/4 full.how many quarts does the recipe make
Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.
An unitary method is what?This common convenience, already-existing variables, or all important elements from the original Diocesan customizable survey that followed a particular event methodology can all be used to achieve the goal. If it does, there will be another chance to get in touch with the entity. If it doesn't, each of the crucial elements of a term proof outcome will surely be lost.
Here,
The quantity of punch produced by the recipe is:
If the punch bowl has an 8-quart capacity and the recipe fills it 3/4 full.
=> 6 pints = 8 * 3/4.
The formula yields 6 quarts of punch as a result.
Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.
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How do l do this question new topic
The length of support 1 is 0.63m
A Right Triangle: What Is It?According to the definition of the right angled triangle, a triangle is referred to as a right-angled triangle or simply a right triangle if one of the angles is a right angle .The side of a right triangle is the hypotenuse, which is the longest side and sits in opposition to the triangle's right angle, base and altitude.
given length of support1 are
a= 1.1 m
b= .9 m
Using pythagoreas theorem,
Length of support1= √a²-b²
=√(1.1)²-(0.9)²
=√1.21-.81
=0.63
Hence, The length of support 1 in the figure is 0.63m.
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14 points! PLEASE HELP!!!
Step-by-step explanation:
I just did in the other posting. how often did you post it ?
this is a trick question. the triangle at the top is not an isoceles triangle.
we use Pythagoras for an the steps.
so, the left part of the baseline (split by the height) is calculated by
12² = 10² + part²
144 = 100 + part²
part = sqrt(44) = 6.633249581... ft
the other part is then
20 - 6.633249581... = 13.36675042... ft
and the second leg of the large triangle is
leg² = 10² + 13.36675042...² = 278.6700168...
leg = 16.69341238... ft
P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈
≈ 64.69 ft
please see the answer to the other posting for more details.
Curious about people's recycling behaviors, Sandra put on some gloves and sifted through some recycling and trash bins. She kept count of the plastic type of each bottle and which bottles are properly dispensed.
What is the probability that a randomly selected bottle is correctly placed AND is a Plastic #4 bottle?
A. 13/20
B. 7/20
C. 1/4
D. 5/8
show all steps
Answer:
Sandra's curiosity led her to sift through recycling and trash bins, wearing gloves to keep her hands clean. She counted the plastic type of each bottle and noted which ones were properly disposed of. It's important to be mindful of our recycling behaviors and make sure we're doing our part to protect the environment. Let's all strive to recycle properly and reduce our waste!
Please help answer this!!!
Given m∥n, find the value of x.
(2x+5) (8x+5)
What is tan(49°)?
O A. 0.75
OB. 0.66
O C. 1.15
OD. 0.82
Answer:
Find the Exact Value tan(49). tan(49) tan ( 49 ). Step 1. The result can be shown in multiple forms. Exact Form: tan(49) tan ( 49 ). Decimal Form:
Step-by-step explanation:
Lmkkkk helppppppppppp
Answer:
1.986 x 10 to the tenth power
Step-by-step explanation:
PLEASE HELP!!!
The figure below shows a triangular wooden frame ABC. The side AD of the frame has rotted and needs to be replaced:
What is the length of the wood that is needed to replace AD?
8.1 inches
6.2 inches
5.9 inches
7.4 inches
We need a piece of wood that is approximately 8.1 inches long to replace AD. So, the answer is option A.
Describe Triangle?In geometry, a triangle is a three-sided polygon consisting of three line segments that connect three non-collinear points. These three points are called the vertices of the triangle, and the line segments connecting them are called sides. The sum of the angles of a triangle is always 180 degrees.
Triangles can be classified based on their sides and angles. A triangle with all three sides of equal length is called an equilateral triangle, while a triangle with two sides of equal length is called an isosceles triangle. A triangle with no sides of equal length is called a scalene triangle.
Triangles can also be classified based on their angles. A triangle with all three angles less than 90 degrees is called an acute triangle, while a triangle with one angle greater than 90 degrees is called an obtuse triangle. Finally, a triangle with one angle equal to 90 degrees is called a right triangle.
First, we can use trigonometry to find the length of side AC. Since angle BCD is 30 degrees and BC = 14, we have:
sin(30) = AC/14
AC = 14*sin(30)
AC = 7 inches
Next, we can use the fact that triangle ACD is a 15-75-90 triangle to find the length of AD. Since angle CAD is 75 degrees, we have:
tan(75) = AD/AC
AD = ACtan(75)
AD = 7tan(75)
Using a calculator, we get:
AD ≈ 8.09 inches
Therefore, we need a piece of wood that is approximately 8.1 inches long to replace AD. So, the answer is option A.
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Answer:
5.9
Step-by-step explanation:
segment BD was 8.1 so segment AD cant be 8.1
What is the volume of the cylinder? Show your work.
Answer:
I'm stuck too like is so aggravating
Find the volume of a cylinder with a diameter of 28 meters and a height of 4 and one half meters. Approximate using pi equals 22 over 7.
11,088 cubic meters
2,772 cubic meters
567 cubic meters
284 cubic meters
As a result, the cylinder's capacity is roughly 11,088 cubic metres.
In arithmetic, what is the radius?The diameter of a circular is the distance measured through its middle. The radius of a circle is the distance to the middle to any spot on the edge. Diameter divided by radius equals two, or 2r=d. 2 r = d .
First, we need to find the radius of the cylinder. We know that the diameter is 28 meters, so the radius is half of that, which is 14 meters.
Using the formula for the volume of a cylinder, V = πr²h, we can now substitute the given values:
V = (22/7) x 14² x 4.5
Simplifying this expression:
V = (22/7) x 196 x 4.5
V = 11,088 cubic meters
Therefore, the volume of the cylinder is approximately 11,088 cubic meters.
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WILL GIVE BRAINLYEST AND 60 POINTS EACH HELP ASAP
Answer:
The cone takes up one-third of the volume of the cylinder. (the cylinder is 3x bigger than the cone)
Step-by-step explanation:
Answer:
B. is right.
Step-by-step explanation:
Volume of cone = volume of cylinder/3
Therefore the volume of the cylinder is 3 x that of cone
PLEAS HELP!
Which best describes why it is helpful to know the slant height of a pyramid to find its surface area?
Responses
1)Knowing the slant height helps because it represents the height of the triangle that makes up the base. So, the slant height helps you to find the area of the base.
2)Knowing the slant height helps because it represents the height of the rectangle that makes up each lateral face. So, the slant height helps you to find the area of each lateral face.
3)Knowing the slant height helps because it represents the height of the triangle that makes up two of the lateral faces. So, the slant height helps you to find the area of those two lateral faces.
4)Knowing the slant height helps because it represents the height of the triangle that makes up each lateral face. So, the slant height helps you to find the area of each lateral face.
Therefore, knowing the slant height is important in calculating the lateral area of the pyramid, which is one component of the total surface area.
by the question.
Option 2 is the correct response. Knowing the slant height is helpful because it represents the height of the rectangle that makes up each lateral face of the pyramid. The lateral faces are made up of triangles and rectangles, and the slant height is used to find the height of these rectangles.
Knowing the slant height helps because it represents the height of the rectangle that makes up each lateral face. So, the slant height helps you to find the area of each lateral face. The formula for the lateral area of a pyramid involves the slant height, the perimeter of the base, and the apothem (the distance from the center of the base to the midpoint of a side). Once you know the lateral area, you can add it to the area of the base to find the total surface area of the pyramid.
The slant height of a pyramid is the height of each triangular lateral face, which is an essential component in calculating the lateral surface area of a pyramid. Knowing the slant height is used in the formula for finding the lateral area of a pyramid, which is the sum of the areas of all the triangular lateral faces. Additionally, the base area of the pyramid is also needed to find the total surface area of the pyramid. So, knowing the slant h
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PLEASE HELP! Find missing side lengths of b and c. Explain
The measures of the two missing sides are:
c = 5√6 b = 10√2 How to find the lengths of b and c?Here we can see a right triangle where we know the measures of the interior angles and one of the sides. And we want to find the lengths of the other two sides.
We can use trigonometric relations like.
sin(a) = (opposite cathetus)/hypotenuse.
Here we know that b is the hypotenuse, and the known side is the opposite cathetus of the 30° angle, then we can write:
sin(30°) = 5√2/b
Solving this for b, we will get:
b = 5√2*(1/sin(30°))
b = 5√2*(2) = 10√2
And the value of c is given by:
sin(60°) = c/10√2
10√2*sin(60°) = c
10√2*(√3/2) = c
5*√(2*3) = c
5√6 = c
These are the two missing lengths.
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An oil-producing country can sell 7 million barrels of oil a day at a price of $80 per barrel. If each $1 price increase will result in a sales decrease of 100,000 barrels per day, what price will maximize the country's revenue?
$
How many barrels will it sell at that price?
barrels
Answer:
Step-by-step explanation:
To find the price that maximizes the country's revenue, we need to consider the relationship between price, sales, and revenue.
Let's start by calculating the current revenue for the country:
Revenue = Price × Sales
Revenue = $80/barrel × 7 million barrels/day
Revenue = $560 million/day
Now let's consider the effect of a price increase on sales. According to the problem, a $1 increase in price will result in a decrease of 100,000 barrels/day in sales. This means that the new sales rate at a price of $81/barrel will be:
New sales = 7 million barrels/day - 100,000 barrels/day per $1 increase × (81 - 80)
New sales = 6.9 million barrels/day
The new revenue at a price of $81/barrel will be:
New revenue = $81/barrel × 6.9 million barrels/day
New revenue = $559.9 million/day
We can repeat this process for a range of prices to see how revenue changes:
Price Sales (million barrels/day) Revenue (million $/day)
80 7.0 560.0
81 6.9 559.9
82 6.8 544.0
83 6.7 534.1
84 6.6 528.0
85 6.5 520.0
From this table, we can see that the price that maximizes revenue is $84/barrel. At this price, the country will sell 6.6 million barrels/day, and generate revenue of $528 million/day.
Therefore, the price that will maximize the country's revenue is $84/barrel, and it will sell 6.6 million barrels/day at that price.
please help with these 2 questions in math
The correct answer is E (-1,-3). Reflection across the x-axis is a transformation that flips the object across an imaginary line that runs through the center of the x-axis.
What is transformation?Transformation in mathematics is the process of changing an object or figure in some way. This includes changing the size, position, rotation or reflection of an object. Transformations can also be used to move a figure from one coordinate system to another. Common transformations include translation, rotation, reflection and scaling.
In this case, the x-axis is the line y = 0. The figure ABCD is reflected across this line, resulting in point A being reflected to E.
When a figure is reflected, the x-coordinates remain the same, while the y-coordinates change sign. This means that the x-coordinate of point A (-1) remains the same, but the y-coordinate (3) changes to its opposite (-3). Therefore, the resulting coordinates of point A are (-1,-3).
Reflection across the x-axis is an example of a transformation. Transformations involve changing the position, size or orientation of a figure, but not its shape. This means that the figure ABCD is still the same shape after being reflected, but its position has changed. After being reflected, the figure is now located on the opposite side of the x-axis.
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A random sample of laptop computers at an electronics store shows that 1 of the 25 sampled laptop computers has a malfunction. There are 300 laptop computers at the electronics store. Estimate the number of laptop computers at the electronics store that have malfunctions.
Answer:12
Step-by-step explanation:
i did it :)
The area of a certain desert (Desert 1) is seven times the area of another desert (Desert 2). If the sum of their areas is
32,000,000 square miles, find the area of each desert.
...
The area of Desert 1 is 28,000,000 square miles and the area of Desert 2 is 4,000,000 square miles.
How to find the area of each desert?
Let's assume that the area of Desert 2 is x square miles.
According to the problem statement, the area of Desert 1 is seven times that, or 7x square miles.
We are also given that the sum of their areas is 32,000,000 square miles:
x + 7x = 32,000,000
Simplifying the left side of the equation:
8x = 32,000,000
Dividing both sides by 8:
x = 4,000,000
Now that we know the area of Desert 2 is x = 4,000,000 square miles, we can find the area of Desert 1 by multiplying by 7:
7x = 7(4,000,000) = 28,000,000
Therefore, the area of Desert 1 is 28,000,000 square miles and the area of Desert 2 is 4,000,000 square miles.
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In February gas prices jumped from 329 to 3:49 this represents a 6.1 increase however the reverse occurs dropping from 349 to 3:29 then it is a 5.7% in decrease why are the percent decrease and percent increase values different
Answer:
The percent increase and percent decrease values are different because they are calculated based on different starting values. When the price increases from 329 to 349, the percent increase is calculated as (349-329)/329 * 100% = 6.1%. However, when the price decreases from 349 to 329, the percent decrease is calculated as (349-329)/349 * 100% = 5.7%. The difference in starting values results in different percentage changes.
Step-by-step explanation:
Find the savings plan balance after
4
years with an APR of
8%
and monthly payments of
$150.
Question content area bottom
Part 1
The balance is
$enter your response here.
(Do not round until the final answer. Then round to the nearest cent as needed.)
The balance of the savings plan after 4 years with an APR of 8% and monthly payments of $150 is approximately $7,456.76.
What exactly is a savings plan formula?As a result, the savings plan formula for such challenges is as follows: final saving = number of periods * (first and last period savings) / 2.
To calculate the balance of the savings plan after four years, we can use the formula for the future value of an annuity with regular payments:
P * ((1 + r/n)(n*t) - 1) / (r/n)
Where P is the monthly payment amount, which is $150.
r = 8% annual interest rate
n = the number of times annual interest is compounded = 12 (since we have monthly payments)
4 t = the number of years
We get the following results when we plug these values into the formula:
FV = 150 * ((1 + 0.08/12)^(12*4) - 1) / (0.08/12) ≈ $7,456.76
As a result, the savings plan balance after four years with an APR of 8% and monthly payments of $150 is approximately $7,456.76.
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