The compound interest after 5 years is $7,081.916.
Compound interest:
Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Here we have to find the interest earned after 5 years.
Data given:
Principle (P) = $11600
rate(r) = 10%
time(t) = 5 years.
Formula to find compound interest:
CI = P( 1 + r/100[tex])^{t}[/tex] - P
Now put the values in the formula.
CI = 11600 ( 1 + 10/100[tex])^{5}[/tex] - 11600
= 18681.916 - 11600
= 7081.916
Therefore the compound interest is $7081.916.
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5. For problems A-E, write the converse, inverse, and contrapositive statements based on the given
conditional statement.
A. If I own a dog, then I own an animal.
Converse:
Inverse:
Contrapositive:
B. If I go to be early, then I sleep well.
Converse:
C.if this is Thursday, then I do not go to church.
Converse:
Inverse:
Converse:
D. If today is Wednesday, then yesterday was Tuesday.
Converse:
Inverse:
Converse:
E. If 5X equals 10, then X equals two.
Converse:
Inverse:
Answer:
Step-by-step explanation:
Conditional Statement: If it is a beagle, it is a dog.
Converse: If it is a dog, it is a beagle. This is a false statement, since a dog can be any other breed (ex. Pomeranian).
Inverse: If it is not a beagle, it is not a dog. Again a false statement, since if it is a different breed, it is a dog despite not being a beagle. For example, it could be a Pomeranian.
Contrapositive: If it not a dog, it is not a beagle. This is true, since if something is not a dog, it won't be any particular breed of dog either (and it won't be a beagle).
1. Which of the following describes this function?
OIt is a linear function, and it is decreasing.
O it is not a linear function, and it is constant.
OIt is not a linear function, and it is decreasing
It is a linear function, and it is increasing
identify the explanatory variable and the response variable. a teacher wants to determine if the amount of homework given to her students can be used to predict the students' test scores.
]]The explanator variable is amount of homework given and the response variable is student's test score.
Variable:
In math variable is an alphabet which is used to represent the unknown number.
Given,
A teacher wants to determine if the amount of homework given to her students can be used to predict the students' test scores
Here we need to identify the explanatory variable and the response variable
While we looking in to the given situation, the we have identified that the two variables are used here is,
=> homework given.
=> Test score
While analyzing the variable we have identified that the explanatory variable defines the situation so it is homework given and the response variable defines the result of the scenario that is the students score.
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should I eat a cough drop?
Answer: Yes
Step-by-step explanation: Because that candy will help your throat feel better!
Which inequality represents the sentence? the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6. â€""3.2n 1.5 less-than-or-equal-to 8.6 â€""3.2n 1.5 greater-than-or-equal-to 8.6 â€""3.2 1.5n less-than-or-equal-to 8.6 3.2 1.5n less-than-or-equal-to 8.6
Inequality (C) -3.2 + 1.5n ≤ 8.6 correctly represents the sentence "the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6."
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.
Both mathematical phrases, equations, and inequalities are created by connecting two expressions.
The equal sign (=) indicates that two expressions in an equation are believed to be equivalent.
The symbols >, <, ≤ or ≥ indicate that the two expressions in inequality are not always equal.
So, the sentence we have is:
the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6
Which can be written in inequality as:
-3.2 + 1.5n ≤ 8.6
Therefore, inequality (C) -3.2 + 1.5n ≤ 8.6 correctly represents the sentence "the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6."
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Correct question:
Which inequality represents the sentence?
the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6.
a. -3.2n + 1.5 less-than-or-equal-to 8.6
b. -3.2n - 1.5 greater-than-or-equal-to 8.6
c. -3.2 + 1.5n less-than-or-equal-to 8.6
d. -3.2 - 1.5n less-than-or-equal-to 8.6
Evaluate f(x)=2x^2+5x-17 find f(-1)
Find the slope of the line.
Answer:
-2
Step-by-step explanation:
You do "rise" over "run" (in this case, the rise is actually down)
so -2 "rise"
1 "run"
for the following 3 questions: a study obtained data on the amount of time 28 randomly selected high school students and 31 randomly selected college students spend on their cell phones each day. the investigator is interested in determining whether there is evidence that the amount of time students spend on their cell phone is different between high school and college Let H= time spent on phone by high school students; C= Time spent on phone by college students; and d=H−C
The data are not paired because: o All of these are true o Each element in a sample is measured once: time spent on cell phone o The conclusion pertains to the difference of two independent population means o There are two samples
The correct answer is
H₀ : μh - μc = 0
H₀ : μh - μc ≠ 0
Given that,
Regarding the subsequent 3 inquiries: A study collected information on how much time 28 randomly chosen high school students and 31 randomly chosen college students spent each day on their cellphones. The researcher is interested in learning whether there is proof that students use their phones for varying amounts of time in high school and college.
Because the samples of college and high school students are independent, the independent samples t-test should be utilized.
The study's research (Claim) aims to ascertain whether students' cell phone usage patterns alter between high school and college.
For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,
H₀ : μh - μc = 0
H₀ : μh - μc ≠ 0
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The proper null and alternative hypotheses are
[tex]H_{0}[/tex] : μh = μc
[tex]H_{A}[/tex] : μh - μc
The study's research wants to ascertain whether difference between the time spent by high school students and college students.
The actual test begins by considering two hypothesis i.e. null hypothesis and alternative hypothesis.
Let, H= time spent on the phone by high school students;
C= Time spent on the phone by college students; and
d=H−C
For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,
[tex]H_{0} :[/tex] μh = μc (time spent by high school students is equal to college students)
[tex]H_{A} :[/tex] μh - μc (difference between the time spent by high school students and college students)
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How do you multiply powers with different bases but the dame exponent?
Answer:
Step-by-step explanation:
First, multiply the bases together. Then, add the exponent. Instead of adding the two exponents together, keep it the same. This is because of the fourth exponent rule: distribute power to each base when raising several variables by a power.
Ayana lives 900 meters from his school in India Eva lives 2000 feet from her school in United States who lives closer to their school
Ayana lives 2952 feet away from his school and Eva lives 2000 feet away, Thus Eva lives closer to school.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
In India, Ayana lives 900 meters from his school,
And in United Sates Eva lives 2000 feet from her school.
Since,
1 meter = 3.28 feet
900 meter = 2952 feet
Here, distance of Ayana from her school is 2952 feet and distance of Eva from her school is 2000 feet.
Therefore, Eva lives closer to their school.
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brayden was a 60% free throw shooter last season. he practiced all through the off-season and has made 12 of the first 16 free throws this season. based on his performance and the results of the simulation, is there convincing evidence that brayden has improved his free-throw percentage? explain.
Yes , there is convincing evidence that Brayden has improved his free-throw percentage when compared to previous year.
Brayden made 60 % free throws last year
P(Making free throw last year) = 0.6
This year,
X% of 16 = 12
X/100 * 16 =12
75%
therefore, this year
P(Making free throw this year) = 7.5
This clearly shows that he improved his free throw percentage compared to last year.
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment.
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You buy a stock for $100. In one year its price rises to $114, and it pays a $1 dividend. Your capital gains yield is _____
Answer:
Step-by-step explanation:
$13
in its simplest form, kanban consists of a whiteboard divided into multiple columns. what are they titled?
The correct option for whiteboard of the Kanban are-
b) Planned; e) Done; f) WIP
Explain the term Kanbanboard?The work that needs to be done, that work that is being done, and the work that has been finished are all displayed on a Kanban Board.
It's a graphic representation of a person's, a team's, or a department's value stream, which has been diagrammed on a board, a wall, or specifically designed Kanban software.The purpose of the Kanban technique applied to knowledge management is the same as it was in manufacturing even though it was developed as a stock management tool in Toyota manufacturing: better visualize work, restrict work progress, optimize flow, and uncover improvement opportunities.Thus, the more visible a Kanban board is, the better; optimum outcomes are likely to be achieved when a team can always see it.
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The complete question is-
In its simplest form, Kanban consists of a whiteboard divided into multiple columns. What are they titled?
a) In Queue
b) Planned
c) Opened Ticket
d) Delayed
e) Done
f) WIP
what is the product of 5/6 x 2/3
Please Help!!!! Hurry!!
Answer:b e and g
Step-by-step explanation:
because between e and g it increases the most
A group of friends wants to go to the amusement park. They have no more than $190 to spend on parking and admission. Parking is $7, and tickets cost $15. 25 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
With $190, a maximum of 12 people can visit the theme park, where admission costs $15.25 per person and parking costs $7.
What is inequality?In mathematics, "inequality" refers to a connection between two expressions or values that are not equal to one another. The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in lieu of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3. Finding the x values for which the inequality holds true is what we are most interested in.
Here,
The total amount they can spend=$190
Cost of parking=$7
Cost of ticket per person=$15.25
Let the number of person be x,
15.25x+7≤190
15.25x≤183
x≤12
There can be at most 12 person that can go to the amusement park with $190 where cost of tickets is $15.25 per person and cost of parking is $7.
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Which of these tables (if any) represent a proportional relationship?
please help!!
None of the tables represent a proportional relationship.
What is a proportional relationship?Proportional relationships are those in which the ratios of two variables are equal. Another way to think about them is that one variable in a proportional relationship is always a constant value multiplied by the other. This is known as the "constant of proportionality."
To determine whether a relationship is proportional, examine the ratios between the two variables. The relationship is proportional if the ratio is always the same. The relationship is not proportional if the ratio changes.
Fir the first table, the ratio varies. Also, the second table isn't constant.
Therefore, none has a proportional relationship.
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When 9 is multiplied by 2/3 the product will be between 2/3 and 9
The required product will be 6 when 9 is multiplied by 2/3.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
We have to determine whether the product will be between 2/3 and 9
As per the given question, we have
2/3 and 9
⇒ 2/3 × 9
Apply the multiplication operation,
⇒ 18/3
Reduce the above fraction into the simplest form, and we get
⇒ 6
Thus, the required product will be 6 between 2/3 and 9.
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Albert built a square chicken coop with 6−foot sides.
Area of chicken coop =
Answer: 36 ft
Step-by-step explanation:
subtract 10 - 2 1/4
Answer: 7 3/4
Explanation:
Keep in mind that 2 1/4 = 2 + 1/4
10 - 2 = 8
8 - 1/4 = 7 3/4
Therefore your answer is 7 3/4
Answer:
7 3/4
Step-by-step explanation:
Take 1 away from 10 and write 10 as 9 + 1.
1 = 4/4, so 10 = 9 + 4/4 or simply 9 4/4.
Now subtract 2 1/4 from 9 4/4.
9 4/4 - 2 1/4
9 4/4
- 2 1/4
-------------
7 3/4
which is the solution to dis system of equations
x+y=3
x-y=-3
Answer:
Step-by-step explanation:
You are going to want to use the substitution method to solve. Substitute the given value of x (which is x=-3+y) into the equation x+y=3. Now solve the equation for y.You get y = 3. Plug in 3 for x in the other equation. You get x-3=-3 ---> x = 0.
So x = 0, y = 3
Find the equation of the line that passes through the point (-4, 11) and is perpendicular to the following line.
y= -2/3x -7
The equation of a line perpendicular to y = (-2/3)x - 7 is y = (3/2)x + 17.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
We know lines perpendicular to each other have slopes that are negative reciprocals of each other.
So, the slope of the perpendicular line to the given line y = (-2/3)x - 7 is (3/2)
which passes through the point (-4, 11) is,
11 = (3/2)(-4) + b.
b = 11 + 6.
b = 17.
∴ y = (3/2)x + 17 is our required line.
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Leggings are on sale for 10% off the
original price. What is the sale price of
leggings with an original price of $45?
C.$40.50
d. $41.50
a. $35
b. $4.50
Answer:
Your answer is C) $40.50
Step-by-step explanation:
[tex]0.1[/tex] × [tex]45 = 4.5[/tex]
[tex]45 - 4.5 = 40.50[/tex]
Answer: C) $40.50
Step-by-step explanation:
F(x)= 5x and g(x)= 5x + 3 graph
Answer:
F
5
x
+
3
=
25
x
+
15
Solve for x. x = -x
not possible
0
1
-1
The value of a house has been increasing by $5000 each year. Write an equation to show how the value will have changed x years from now.
y=(?)x
Answer: y=(1x)^x + 5000
Step-by-step explanation:
So the original equation is y=mx + b
And we know that each year the house increase by 5000, so the b is 5000
For the x which is the slope, we don't know what the slope is so we just say it as x and the ^x is for the number of years, let's say 3 years then it is ^3 and keep increasing like that up.
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An artist frames his rectangular artwork. The length of his art is 3 times the
vidth, w. How can he represent the perimeter of the art? Draw a line to match
ach reason on the left to the expression it describes.
Provides a relationship between length and width
Provides a sense of the entire perimeter
Provides a description of the amount of framingmaterial for length and for width separately
3w
8w
2(w +3w)
4(3W)
6w+2w
Answer:
See attached worksheet
Step-by-step explanation:
Write the equation of the line that passes through the points (7, 4) and (-5, 4). Put
your answer in fully simplified point-slope form, unless it is a vertical or horizontal
line.
Answer:
y = 4
Step-by-step explanation:
note that the y- coordinates of the 2 points are equal, both 4
This indicates that the line passing through them is horizontal with equation
y = c ( c is the value of the y- coordinates the line passes through ), then
y = 4 ← equation of line
Solve the quadratic equation: 3x2 − 3x − 3 = 0
Lauren is working furiously to knit scarves and beanies for a craft fair next weekend. Yesterday she completed 3 scarves and 1 beanie, using a total of 23 yards of yarn. The day before, she used 27 yards to knit 3 scarves and 3 beanies. Assuming Lauren is using the same pattern and type of yarn for each scarf and beanie, how much yarn does each project require?
Answer:
Step-by-step explanation:
9