The future value of the account after 24 months with $200 deposited at the end of each month into an account that pays 9% annual interest compounded continuously is $5748.71.
To solve the problem, we will use the formula:
`A = Pe^(rt)`
Where,
A = future value
P = principal (initial amount) = $0 since the $200 is deposited monthly
r = annual interest rate = 9% = 0.09
t = time in years = 2 years since it is compounded for 24 months
We need to find the future value after 24 months after depositing $200 at the end of each month into the account that pays 9% annual interest compounded continuously.
So, first, we need to determine the total amount of money deposited over 24 months.
Total amount deposited over 24 months
= 24 months × $200
= $4800
Now, let's use the formula:
`A = Pe^(rt)`A
= 0 × e^(0.09 × 2)A
= 0 × e^0.18A
= 0
Since we are depositing $200 monthly for two years, we need to calculate the total amount deposited as $4800 using the equation above.
Now, let's plug in the values into the formula:
`A = Pe^(rt)`
A = 0 + 4800e^(0.09 × 2)
A = 0 + 4800e^0.18
A = 0 + 4800 × 1.196697
A = $5748.71 (rounded to the nearest cent)
Therefore, the future value of the account after 24 months with $200 deposited at the end of each month into an account that pays 9% annual interest compounded continuously is $5748.71.
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10xy-15x-2y+3 factor the polynomial
Answer:
(5x - 1)(2y - 3)
Step-by-step explanation:
10xy - 15x - 2y + 3 = 5x (2y - 3) - (2y - 3) = (5x - 1) (2y - 3)
how many ways can the coach select with seven players will be in the batting order on an 11 person team?
There are 330 ways the coach can select a batting order of seven players from an 11 person team.
To determine the number of ways the coach can select a batting order of seven players from an 11 person team, we can use the combination formula, which is given by:
nCr = n! / r!(n-r)!
where n is the total number of players on the team, and r is the number of players in the batting order. In this case, n = 11 and r = 7.
So, the number of ways the coach can select a batting order of seven players from an 11 person team can be calculated as follows:
11C₇ = 11! / (7!(11-7)!)
= (11 x 10 x 9 x 8) / (4 x 3 x 2 x 1)
= 330
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Instructions
Here are the low temperatures (in degrees Fahrenheit) for one week in Montreal, Canada:
Weather icon. Top row has the following from left to right: Thu, Fri, Sat, Sun, Mon, Tue, Wed. For the weather, please put the following in order from left to right: negative3.5 degree F, 5 degree F, 1.5 degree F, negative 0.5 degree F, negative 2 degree F, 2.5 degree F, negative 4 degree F.
Part 1: Weather Analysis
Plot and label the temperatures on a number line. You can create the number line by using a drawing program, by drawing it by hand and sending in a picture, or by describing in detail how the completed number line should look.
Compare the weather on two different days using an inequality. Then see if their comparisons change by finding the absolute value of each.
Day 1:
Day 2:
Comparison of Day 1 and Day 2: ____ < _____ or _____ > _______
Comparison of days with absolute value: ____ < _____ or _____ > _______
Which temperature during the week is the closest to 0? Explain how you decided this using absolute value.
Which temperature during the week is farthest from 0? Explain how you decided this using absolute value.
Which is the coldest temperature? Explain how you determined this using the number line.
Which is the warmest temperature? Explain how you determined this using the number line.
Part 2: Weather Report
Use the information from the analysis and develop a weather report. You can develop a flyer or make a presentation, video or audio recording of yourself, or script. Use your creativity! Make sure to include the information from all six questions.
Answer:
Hi!! I only have the first parts not the weather report :( But here you go!
Step-by-step explanation:
Hope this helps you!!!
Have a blessed day/night!!
Happy holidays!!
Answer:
the bold word are the answer
Step-by-step explanation:
Compare the weather on two different days using an inequality. Then see if their comparisons change by finding the absolute value of each.
Day 1: 1-3’F
Day 2: 5’F
Comparison of Day 1 and Day 2: -3.5< or 5 >
Comparison of days with absolute value: -3.5 < 5L
Which temperature during the week is the closest to 0? Explain how you decided this using absolute value. -0.5 because it’s the smallest number.
Which temperature during the week is farthest from 0? Explain how you decided this using absolute value. 5°F because it is the greatest number and the greater the number the farther it is from 0.
Which is the coldest temperature? Explain how you determined this using the number line.
- 4°F because it is farther on the left side of zero on the number line.
Which is the warmest temperature? Explain how you determined this using the number line.
5°F because it is farther on the right side of zero on the number line
Write an equation for the line that passes through the points (0,-6) and (-3,0). HELP
Answer:
Equation: y = -2x - 6.
Step-by-step explanation:
picture
Beth went shopping and withdrew an anverage of 25$ from her account every hour for 6 hours. What was the change in her account
Answer:
To solve this question we are going to multiply. So lets say that h represents hours, in this equation we have 6 hours, so 6h Beth spent 25 dollars per hour for 6 hours so we can substitute the h in 6h with 25, which will result in us multiplying,
6h
6(25)
= 150
Step-by-step explanation:
I hope this helps!
a tree is broken at a height of 6 cm from the ground and its top touches the ground at a distance of 8cm from the base of the tree . find the original height of the tree pls do to step to step explaination
Answer:
I guess its 16
Step-by-step explanation:
Because
Hieght =6cm
Base = 8cm
Hypotenuse=?
by pythagoras formula = a^2+b^2=c^2
6 *6 + 8*8 =c^2
36 + 64 = c^2
100 =c^2
Root of 100 is 10
so the whole tree is = to 10 +6 =16
In the 30-60-90 triangle below side s has a length of And hypotenuse has a length of
Answer:
square root of (a^2 + b^2)
Step-by-step explanation:
According to the pythagorean theorem, the hypotenuse of a triangle is equal to its two shortest sides squared and added together. Then you get the square root to get rid of the squaring done in the equation.
1. 15 (5/3 x - 1/5y - 1/5y - 7/15x)
2. 9p - 3 (5 +7p)
3. 7n (1 - 7n) + 10n to the second power
Answer: 1:-15
2: -27
3: 58
Step-by-step explanation: PEMDAS
Parenthesis, Exponent, Multiplication, Division, Addition, subtraction
describe how changing one score influences the mean and standard deviation. changing one score changes the mean, but the standard deviation remains unchanged. changing one score changes both the mean and the standard deviation. changing one score does not change the mean, but the standard deviation changes.
In conclusion, changing one score can have an impact on both the mean and the standard deviation of a set of data. The extent of the influence depends on the deviation of the changed score from the original mean.
Changing one score can have an impact on both the mean and the standard deviation of a set of data. The mean is the average of all the scores, so if one score changes, it can affect the overall mean. The standard deviation, on the other hand, measures the deviation of each score from the mean. If one score changes, it can also affect the standard deviation, as the deviation of that score from the mean will be different.
For example, let's say we have a set of scores: 2, 4, 6, 8, 10. The mean of these scores is 6, and the standard deviation is 2.86. If we change the score of 2 to a 12, the new set of scores will be 12, 4, 6, 8, 10. The new mean will be 8, and the new standard deviation will be 2.94. As you can see, changing one score influenced both the mean and the standard deviation.
In conclusion, changing one score can have an impact on both the mean and the standard deviation of a set of data. The extent of the influence depends on the deviation of the changed score from the original mean.
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given that tank=8 and sinx is negative determine sin(2x) cos(2x) and tan(2x)
Answer:
sin2x = 16/65
cos2x = -63/65
tan2x = -16/63
Explanation:
the tangent of an angle is equal to the opposite side over the adjacent side. So, if the tan(x) = 8, we can represent this as the following diagram:
Therefore, we can calculate the value of the hypotenuse as:
\(\text{Hypotenuse = }\sqrt[]{8^2+1^2}=\sqrt[]{64+1}=\sqrt[]{65}\)With the hypotenuse, we can calculate sin(x) and cos(x) as follows:
\(\begin{gathered} \sin x=\frac{Opposite}{hypotenuse}=-\frac{8}{\sqrt[]{65}} \\ \cos x=\frac{\text{Adjacent}}{\text{hypotenuse}}=-\frac{1}{\sqrt[]{65}} \end{gathered}\)We type the negative sign because the question says that sin(x) is negative.
Now, we will use the following trigonometric identities to find sin(2x), cos(2x) and tan(2x)
\(\begin{gathered} \sin 2x=2\sin x\cos x \\ \cos 2x=1-2\sin ^2x \\ \tan 2x=\frac{2\tan x}{1-\tan ^2x} \end{gathered}\)Therefore, replacing the values, we get:
\(\sin 2x=2(\frac{-8}{\sqrt[]{65}})(\frac{-1}{\sqrt[]{65}})=\frac{16}{65}\)\(\cos 2x=1-2(\frac{-8}{\sqrt[]{65}})^2=1-2(\frac{64}{65})=-\frac{63}{65}\)\(\tan 2x=\frac{2(8)}{1-8^2}=-\frac{16}{63}\)So, the answers are:
sin2x = 16/65
cos2x = -63/65
tan2x = -16/63
Can someone please answer this for me.
Answer:
\(\huge\boxed{\sf Slope = \frac{9}{7}}\)
Step-by-step explanation:
The top and bottom points of the line are
(3,0) and (10,9)
\((x_1,y_1) = (3,0)\\\\(x_2,y_2) = (10,9)\)
So,
\(\sf Slope = \frac{y_2-y_1}{x_2-x_1}\\\\Slope = \frac{9-0}{10-3} \\\\\boxed{\sf Slope = \frac{9}{7} }\\\\\rule[225]{225}{2}\)
Hope this helped!
~AH1807three more than eight times a number equal to 19
The American Quarter Horse is the most popular riding horse in the world. The average weight of an American Quarter Horse at birth is 85 pounds. They grow to a maximum weight of 1300 pounds. Write and solve an inequality to find how many pounds an American Quarter Horse may gain from birth to adulthood.
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that the average weight of an American Quarter Horse at birth is 85 pounds and that they grow to a maximum weight of 1300 pounds.
The inequality to calculate the amount of pounds that an American Quarter Horse may gain from birth to adulthood will be the difference between it's maximum weight and weight at birth. This will be:
= 1300 - 85.
= 1215 pounds
a right square pyramid has the dimensions shown below.
E=177
H=12
S=103
What is the volume of the pyramid
The volume of a right square pyramid with base side length 103 and height 12 is 42,236 cubic units.
What is volume?Volume is a measure of the amount of space an object occupies, or the capacity of a container. It is usually measured in liters, gallons, or cubic meters.
The volume of a right square pyramid is calculated using the formula V = (1/3) * (base area) * (height). In this case, the base area is equal to the square of the length of the sides of the base (s²).
Therefore, the volume of the right square pyramid can be calculated as follows:
V = (1/3) * (s²) * (h).
Plugging in the values given in the question, we get
V = (1/3) * (103²) * (12) = 42,236 cubic units.
This is the volume of the right square pyramid with the given dimensions.
To summarize, the volume of a right square pyramid with base side length 103 and height 12 is 42,236 cubic units.
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A variable that is influenced by another variable is known as the ________. a. moderating variable b. inductive variable c. independent variable d. dependent variable
The term "dependent variable" refers to a variable that is affected by another variable. The correct option is d.
A variable that is influenced by another variable is known as the dependent variable. Hence, the correct answer is option d) dependent variable. What is a variable? A variable is a characteristic or phenomenon that can take on various values.
Researchers measure them to see if they are linked to one another or to find out if one causes another. The characteristics that the researchers seek to measure can be tangible, such as the length of a telephone line, or intangible, such as the number of times a person smokes cigarettes.
The different types of variables are Independent variable Dependent variable Controlled variableWhat is an independent variable?An independent variable is a variable that isn't affected by anything in the experiment except for the introduction of the independent variable.
The experimenter selects it and manipulates it.In an experiment, an independent variable is a variable that causes a change in the dependent variable when it is altered. This is the variable that the experimenter changes to test its impact on the dependent variable.
What is a dependent variable?A dependent variable is the variable that is affected by the independent variable. It's what you measure in the experiment and what is affected by the introduction of the independent variable. The dependent variable is the response that is measured in the experiment.
A variable that is influenced by another variable is known as the dependent variable. Hence, the correct answer is option d) dependent variable.
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Help me ill give brainllist!!!!!!!!
Answer:
the shape is semetrical
Step-by-step explanation:
Answer: The facts Ab=Dc and Ac=Db are enough to show that Triangle ABC and Triangle DBC are congruent. This means that their similar angles will be equal like their sides.
Two tailors, Alexa and Bonnie, sit down to do some embroidery. Alexa can embroider 4 shirts per hour, and Bonnie can get through 5 shirts per hour. In addition, the tailors had previously finished some shirts. Alexa has already completed 10 shirts, and Bonnie has completed 5 shirts. Alexa and Bonnie decide to take a break when they have finished the same total number of shirts. How many shirts, in total, will each tailor have finished?
Answer:
Y=6x+5=30x
Step-by-step explanation:
1) Each tailor will have finished 30 shirts
2) It will take Paula 5 hours and Miranda 6 hours
if x : y = 0.75 : 0.90 and y : z = 1/3 : 1/4
(A) simplify the ratio x : y and y : z
(B) find x : y : z
Step-by-step explanation:
x:y=0.75:0.90
Here,
Dividing by the value of y=0.90,
x:y=0.75/0.90:0.90/0.90
=5/6:1
Similarly,
y:z=1/3:1/4
Dividing by 1/3,we get,
y:z=1:3/4
Now,
X:y:z=5/6:1:3/4
Multiplying by both value of y,0.90×1/3=3/10
x:y:z=5/6×3/10:1×3/10:3/4×3/10
By solving this,
x:y:z=1/4:3/10:9/40What is the fourth equivalent fraction to 6/7
Answer:
3/4 is equivalent to 6/7
Hey there!
Equivalent fractions have the same value. Here are some fractions that are equivalent to 6/7:
\(\frac{6}{7} =\frac{12}{14} =\frac{18}{21} =\frac{24}{28} ...\)
Hope it helps. Please let me know if you have any questions.
~An excited gal
\(MagicalNature\) here to help
A=P(1+in)
P=900
i=0.03
n=2
A=?
The value of A is 954
According to the question we have been given that
The equation to be used is : A = P(1+in)
The values we have been given are ;
P = 900
i = 0.03
n = 2
We need to find the value of A. So to find the value of A we have to put the required values in the equation given to us. Thus,
A = 900(1+0.03*2)
We will solve according to the BODMAS rule that is we have to first solve the bracket terms.
A = 900(1 + 0.06)
A = 900*1.06
A = 954
Hence the value of A is 954.
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Using a minimum of two sentences, describe how to write the function, f(x) = (x 2)2 - 3, in standard form.
The function is a quadratic function, and the standard form of a quadratic function is ax^2 + bx + c
The standard form of the function \(\mathbf{f(x) = (x - 2)^2 - 3}\) is \(\mathbf{f(x) = x^2 - 4x + 1}\)
The function is given as:
\(\mathbf{f(x) = (x - 2)^2 - 3}\)
Factor out (x - 2)^2
\(\mathbf{f(x) = (x - 2)(x - 2) - 3}\)
Expand the expression
\(\mathbf{f(x) = x^2 - 2x -2x + 4 - 3}\)
Simplify the like terms i.e. add -2x and -2x
\(\mathbf{f(x) = x^2 - 4x + 4 - 3}\)
Simplify the like terms i.e. add 4 and -3
\(\mathbf{f(x) = x^2 - 4x + 1}\)
Hence, the standard form of the function \(\mathbf{f(x) = (x - 2)^2 - 3}\) is \(\mathbf{f(x) = x^2 - 4x + 1}\)
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Answer:
the one above is all right except its a positive 4x, the question was
f(x) = (x + 2)2 - 3
not
f(x) = (x - 2)2 - 3
the real answer is: f(x) = x^2+4x+1
What is the approximate area of the circle shown below? A. 2460 cm2 B. 44 cm2 C. 88 cm2 D. 616 cm2
Answer:
3.14(14)^2 = 615.44
colesest answer D
Kate is a buyer for a men’s fashion retail store. She will order a new cloth overcoat from Paris for the fall fashion season. Based on her experience, she expects to sell at least 100 coats, and at most 400, but she feels that any number of sales in between is equally likely. Therefore, she estimates that her sales are uniformly distributed between 100 and 400. The total cost to the store is $100 per coat, and the retail price is set at $180. Any coats left over at the end of season would be sold at $60 each.
part 1: a) How many coats should Kate buy if she wants to maximize profits?
part 2: b) Assume Kate buys the number of coats suggested in part a), what is the probability that the coats sell out? What is the probability that they do not sell out?
Part 1: Kate should buy 100 coats to maximize profits.Part 2: The probability that the coats sell out is 0.25 (25%), and the probability that they do not sell out is 0.75 (75%).
To maximize profits, Kate should consider the scenario where she sells all the coats without any left over at the end of the season.
Since the sales are uniformly distributed between 100 and 400, buying 100 coats ensures that she meets the minimum expected sales of 100. Purchasing more than 100 coats would increase costs without a guarantee of higher sales, potentially leading to excess inventory and lower profits.
Given that the sales are uniformly distributed between 100 and 400 coats, Kate's purchase of 100 coats covers the minimum expected sales.
The probability of selling out can be calculated by finding the proportion of the range covered by the desired sales (100 out of 300). Therefore, the probability of selling out is 100/300 = 0.25 or 25%. The probability of not selling out is the complement, which is 1 - 0.25 = 0.75 or 75%.
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Which number produces a rational number when multiplied by 0.5?
A. 222
B.
C 2.020020002...
D. Pi
a researcher wants to determine if extra homework problems help 8th grade students learn algebra. an 8th grade class is divided into pairs and one student from each pair has extra homework problems and the other in the pair does not. after 2 weeks, the entire class takes an algebra test and the results of the two groups are compared. to be a valid matched pair test, what should the researcher consider in creating the two groups?
The researcher should consider the following steps when creating the two groups: Random assignment, Pairing students with similar abilities, Controlling for potential confounding variables,
Collecting data and analyzing results.
Random assignment:
To minimize any potential bias, the researcher should randomly assign one student from each pair to receive extra homework problems while the other does not.
Pairing students with similar abilities:
In order to make a valid comparison, the researcher should pair students with similar algebra skills or previous performance in the subject.
This way, any observed differences in the test results are more likely to be due to the extra homework rather than differences in ability.
Controlling for potential confounding variables:
The researcher should control for any other factors that could influence students' algebra test results, such as attendance, study habits, and teacher quality.
After the two-week period, the researcher should collect the test scores of both groups and compare their performance.
This can be done using statistical methods, such as a paired t-test, to determine if there is a significant difference between the groups.
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Is √ 3x² 5y is a polynomial?
Answer: yes
Step-by-step explanation:
A right triangle is shown. Enter the value of x. Round your answer to the nearest hundredth.
Explain how you got it please
need help asap!
Because it's a right triangle and you are looking at the lengths of the sides, you want to use the Pythagorean theorem: a^2 + b^2 = c^2
The key to using this is that c MUST be the length of the longest side, in this case that's x.
4^2 + 5.5^2 = x^2
16 + 30.25 = x^2
46.25 = x^2
Then take the square root of both sides:
± 6.80 ≈ x
Technically the equation has two solutions, but only the positive one makes sense here.
using y=mx+b find the slope for
7) 8x + 3y = −9
Answer:
-8/3
Step-by-step explanation:
8x + 3y = - 9
Let's make y the subject of the formula.
y = - 9/3 - 8x/3
Rearrange
y = - 8x/3 - 3
The slope is the coefficient of x which is - 8/3
If you don't understand, please leave a comment
Please gimme brainliest
What would be a theoretical antidote and prescription for Zombies Epsilon, Zeta and Eta?
Zombie Epsilon
Zombie Zeta Zombre Eta
Strand
3. 5
7. 1
e
Amount of Virus (mag/ml) 150 230,636
62
Equation
Days (Doses Needed)
e days
Lays
41 days
Zombie Epsilon would require 52.5 days of doses, Zombie Zeta would need 163.3 days, and Zombie Eta would require 636e days to be cured.
To develop a theoretical antidote, you would need to consider the virus strand, concentration (mag/ml), and the equation to calculate the number of doses needed.
For Zombie Epsilon, Zeta, and Eta, the amounts of virus are 150, 230, and 636 mag/ml, respectively. To create an effective antidote, you would need to identify the specific virus strands for each zombie type (e.g., strand 3.5 for Epsilon, 7.1 for Zeta, and "e" for Eta).
Using the provided information, the equation should be used to determine the number of days (doses needed) for each zombie type. As an example, let's assume the equation is as follows: Days = (Amount of Virus * Strand) / 10.
For Zombie Epsilon: Days = (150 * 3.5) / 10 = 52.5 days
For Zombie Zeta: Days = (230 * 7.1) / 10 = 163.3 days
For Zombie Eta: Days = (636 * e) / 10 = 636e days (where e is a constant value)
In this theoretical scenario, Zombie Epsilon would require 52.5 days of doses, Zombie Zeta would need 163.3 days, and Zombie Eta would require 636e days to be cured.
Please note that this is a fictional scenario and not based on real-life medical information.
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Prove hat the ditance between any two points inside triangle ABC is not greater than half the perimeter of ABC
Answer:
It is not because the half the perimeter is not only one side but another half side of the triangle, and the distence between two points in a triangle can never become longer then the length of one side.
Step-by-step explanation:
The math part I am unsure of because you did say prove but let me know if this helps. Thanks!