Answer:
liv
Step-by-step explanation:
Make calculations for a 5-year loan of $20,000 with an annual interest rate of 6% compounded monthly. Calculate the balance owed if the loan had to be paid in full at the end of the 5-year period, and no monthly payments were required.
Answer: $28,383.68.
Step-by-step explanation:
The first step is to determine the number of monthly payments over the 5-year period, which is 5 years x 12 months/year = 60 months.
Next, we can use the formula for the future value of an annuity, which is:
FV = P * ((1 + r/n)^(n*t) - 1) / (r/n)
where:
FV is the future value of the loan (the amount owed at the end of the 5-year period)
P is the initial principal amount ($20,000 in this case)
r is the annual interest rate (6%)
n is the number of compounding periods per year (12 for monthly compounding)
t is the total number of years (5)
Plugging in these values, we get:
FV = $20,000 * ((1 + 0.06/12)^(12*5) - 1) / (0.06/12)
FV = $28,383.68
Therefore, the balance owed at the end of the 5-year period would be $28,383.68.
change 3 5 to a decimal fraction
Answer:
7/20
its the answer to your question
Please help me w my trig
Answer:
Assuming that the expression is asking for the tangent of 1 radian, we can use the tangent half-angle formula to find an exact value:
tan(1) = 2tan(1/2) / (1 - tan^2(1/2))
To find tan(1/2), we can use the half-angle formula for tangent:
tan(1/2) = sin(1) / (1 + cos(1))
We cannot simplify this expression any further without a calculator. Therefore, the exact value of tan(1) is:
tan(1) = 2sin(1) / (cos(1) - cos^2(1) + 1)
Again, we cannot simplify this expression any further without a calculator.
For the second expression, we are asked to find the value of:
tan(arctan(6/4))
By definition, tan(arctan(x)) = x for all x, so we have:
tan(arctan(6/4)) = 6/4 = 3/2
Therefore, the exact value of the expression tan(6/4) is 3/2.
From a set of 10 cards numbered 1 to 10, two cards are drawn at random without replacement". What is the probability that both numbers are even?
Therefore, the likelihood of getting two even numbers without substitution from a deck of 10 cards with digits 1 through 10 is 2 out of 9.
The probability calculation is what?In most cases, the probability is described as the ratio of positive results compared with all occurrences in the survey region. The formula for probability of recurrence is P(E) = (The total amount of instances that are positive occurrences). (Sample space).
There are 5 even numbers in the set of 10 cards: 2, 4, 6, 8, and 10. The probability of drawing an even number on the first draw is 5/10, or 1/2. After the first card is drawn, there are 4 even numbers remaining in the set of 9 cards.
So the probability of drawing another even number on the second draw, given that the first card was even and was not replaced, is 4/9.
To find the probability of both events occurring (drawing an even number on the first draw and another even number on the second draw), we multiply the probabilities:
P(both even) = (1/2) x (4/9) = 2/9
Therefore, the probability of drawing two even numbers from a set of 10 cards numbered 1 to 10 without replacement is 2/9.
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Rosa is in the 25% tax bracket and How much will her tax bill be reduced if she makes a $600 contribution to charity?
Answer:
Her contribution to charity reduces her taxable income by $600, Thus, her tax liability will be reduced by 28% of $ 600, and she comes under 28%
Step-by-step explanation:
State an equation you could use to find the value of X. Then solve for X
In the circle , the value οf x is 50°.
What is secant line in circle?A secant in geοmetry is a line that tοuches a curve at at least twο different pοints. The Latin wοrd secare, which means tο cut, is where the wοrd secant derives. A secant crοsses a circle at precisely twο pοints when it is a circle. A chοrd is the line segment that the twο pοints determine, i.e., the interval οn the secant whοse ends are the twο pοints.
Remember that a tangent line is οne that crοsses a circle at precisely οne pοint. The term "secant line" describes a line that passes thrοugh twο pοints οn a circle. Secant is a Latin wοrd that means "tο cut," and it is derived frοm secare. A chοrd is the line segment defined by the twο pοints where a secant tοuches a circle in a given space.
Here in the given circle using secant line fοrmula ,
=> 75° = [tex]\frac{1}{2}[/tex] (100°+x)
=> 2×75 = 100+x
=> 150 = 100+x
=> x= 150-100= 50°.
Hence the value of x is 50°.
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What is the area of the real object that the scale drawing models? Scale factor. 1:5 Area = 10 square cm Scale drawing Real object
Answer:
D. 50 square centimeters
What is the measure of ∠b
Answer:
26
Step-by-step explanation:
triangle=180
81 + 73= 154
180 - 154= 26
Answer:
∠m = 26
Step-by-step explanation:
We know that the sum of the interior angles in a triangle is added up to 180°.
Accordingly,
∠81 + ∠73 + ∠m = 180°
Combine like terms.
∠154 + ∠m = 180°
Subtract 154 from both sides.
∠m = 26
A cruise ship weighs 3.83×107 kilograms. A horse weighs 7.1×102 kilograms. Approximately how many horses weigh as much as one cruise ship?
Give your answer in scientific notation using only whole numbers.
5.394366197183099*10^4
Step-by-step explanation:1. Write the number as a decimal 53943.66197183099
2. Make it a new number between 1 and 10
Move the decimal point to make 53943.66197183099 a new number between 1 and 10. Because our number is greater than 10, we move the decimal point to the left. Drop any trailing zeros and place the decimal point after the first non-zero digit. Keep track of how many times we move the decimal point.
53943.66197183099 -> 5.394366197183099
Our new number is 5.394366197183099. We moved the decimal point 4 times.
Use a calculator and get the values from both equations, 3.83×10^7 and 7.1×10^2 then put the first value 38300000 into a calculator, then divide 38300000/710 and you will get the value 53,943.66197183099. Then run that through a scientific notion calculator to get 5.394366197183099*10^4.
There you go.
Approximately 54,000 horses weigh as much as one cruise ship.
Explanation:To find out how many horses weigh as much as one cruise ship, we need to divide the weight of the cruise ship by the weight of a horse. In scientific notation, the weight of the cruise ship is 3.83x107 kg and the weight of a horse is 7.1x102 kg.
Dividing the weight of the cruise ship by the weight of a horse, we get:
(3.83x107 kg) ÷ (7.1x102 kg) = 5.4x104
So approximately 54,000 horses weigh as much as one cruise ship.
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Any help please? i cant seem to understand it
The no of people take more than 19 mins are above 50%
1. Break it down: Divide the topic into smaller subtopics or concepts. This can make it easier to understand and digest each piece of information.
2. Research: Look up definitions, explanations, or examples related to the terms or concepts you're trying to understand. This can help clarify any confusion or uncertainty.
3. Take notes: Write down important information, key points, or definitions as you research. This can help you remember and better understand the material.
4. Ask questions: If you're still unsure about certain aspects, don't hesitate to ask for help or clarification from a teacher, tutor, or friend.
5. Practice: Apply what you've learned to related problems or questions. Practicing can help reinforce your understanding
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THINK
12. SOLVE
EXPLAIN
SHORT RESPONSE During a vacation,
Alice went fly-fishing. She rented a
driftboat.
Rick's Rental
fishing rod
driftboat
$12
$8/hour
If she spent a total of $96, write and
solve an equation to find how many
hours she rented the boat.
Answer:
The equation to represent the situation is 96 = 12 + 8x and the number of hours she rent the boat is 10.5 hours.
How to find the number of hours she rented the boat?During a vacation, Alice went fly-fishing. She rented a drift boat. Rick's Rental fishing rod drift boat cost $12 plus $8/hour.
She spent a total of 96 dollars. The equation to solve the situation can be calculated as follows:
Hence,
y = 12 + 8x
where
y = total costx = number of hours spentTherefore,
96 = 12 + 8x
8x = 96 - 12
8x = 84
divide both sides by 8
x = 84 / 8
x = 10.5 hours
Therefore,
hours she rented the boat = 10.5 hours
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18 points for this help asap
Answer: m=1/-7
Step-by-step explanation:
2-1/-3-4=1/-7
I don't know if it can be simplified or not
HELP ASAP WILL GIVE 100 PTS AND BRAINLYEST FOR CORRECT ANSWER
the answers and questions are all in the attachment box
Answer:
Picture number 1: y=1/2x+2
Picture number 2: y=3x-5
Picture number 3 : y=-x
Picture number 4: y=(x+3)^2-2
Which triangles are similar?
a.
25
6
12
b.
16
8
25
ن
d.
3
25
6
Triangles (a) and (d) are similar because they have the same corresponding angles.
What are triangles ?
A triangle is a closed two-dimensional plane figure with three straight sides and three angles. The sum of the interior angles of a triangle is always 180 degrees. Triangles are one of the basic shapes in geometry and can be classified into different types based on their side lengths and angle measurements. Some of the common types of triangles include equilateral triangles (where all sides and angles are equal), isosceles triangles (where two sides and two angles are equal), and scalene triangles (where no sides or angles are equal). Triangles have many applications in mathematics, science, and engineering, including in trigonometry, geometry, and physics.
According to the question:
Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional. In other words, if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. Additionally, if the ratio of the lengths of the corresponding sides of two triangles is constant, then the triangles are similar. This ratio is called the scale factor of similarity.
Therefore, triangles (a) and (d) are similar because they have the same corresponding angles.
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Q) Which triangles are similar given below?
a. 25,6, 12
b. 16, 8, 25
c. 3,25, 6
It snowed 3 inches on Monday and 0.5 inches on Tuesday. How much did it snow on Monday and Tuesday combined?
Answer: It snowed 3.5 inches on Monday and Tuesday combined.
Step-by-step explanation: 3 + 0.5 = 3.5 inches of snow
Hope this helped!
Which expression is NOT equivalent to the other 3 expressions?
A) 5z + z - 1
B) 5z - 1 - z
C) 7z - (1 + z)
D) (5z - 1) + z
11 points.
Show your work.
Are the expressions (4c + 8) + 3c - 2 and 4c + 2(0.5c + 1) equivalent?
First, let's simplify the expression (4c + 8) + 3c - 2:
(4c + 8) + 3c - 2
= 4c + 3c + 8 - 2 (rearrange terms)
= 7c + 6 (combine like terms)
So the first expression simplifies to 7c + 6.
Next, let's simplify the expression 4c + 2(0.5c + 1):
4c + 2(0.5c + 1)
= 4c + 2(0.5c) + 2(1) (distribute the 2)
= 4c + c + 2 (simplify the parenthesis)
= 5c + 2 (combine like terms)
So the second expression simplifies to 5c + 2.
Now we can compare the two expressions:
7c + 6 vs. 5c + 2
These expressions are not equivalent because they do not have the same coefficients or constants.
Helppopppppppppppp image below
The value of angle Y (m∠Y) in the given parallelogram is determined as 112⁰.
What is the value of angle Y?The value of angle Y is determined by applying the principle of a quadrilateral for the given parallelogram as shown below.
The adjacent angles of a parallelogram are supplementary, that is they add up to 180 degrees, while the opposite angles are equal or congruent.
From the given diagram angle W = angle Y (opposite angles)
angle W + angle Z = 180 (adjacent angles )
angle W = 180 - angle Z
angle W = 180 - 68
angle W = 112
Therefore, angle Y (m∠Y) = 112⁰.
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Let f(x)=1/4x^3+x−1 . What is the value of (f−1)′(x) when x = 3?
For the given expression the value of [tex](f^{-1})'(3)[/tex] ≈ 0.052.
What is expression?
In mathematics, an expression is a combination of numbers, variables, operators, and symbols that represents a mathematical quantity or relationship.
To find the derivative of the inverse function, we use the formula:
[tex](f^{-1})'(x) = 1 / f'(f^{-1}(x))[/tex]
First, we need to find the inverse function [tex]f^{-1(x)[/tex]. To do that, we can solve for x in terms of f(x):
[tex]f(x) = (1/4)x^3 + x - 1\\y = (1/4)x^3 + x - 1\\x^3 + 4x - 4 = 4y\\x^3 + 4x - 4 = 4f^{-1}(x)\\f^{-1}(x) = (x^3 + 4x - 4) / 4[/tex]
Now, we can find the derivative of the inverse function:
[tex](f^{-1})'(x) = 1 / f'(f^{-1}(x))\\(f^{-1})'(3) = 1 / f'(f^{-1}(3))[/tex]
To find [tex]f^{-1}(3)[/tex], we plug in x = 3 into the expression for [tex]f^{-1}(x)[/tex]:
[tex]f^{-1}(3) = (3^3 + 4(3) - 4) / 4 = 8.75[/tex]
To find [tex]f'(f^{-1}(3))[/tex], we plug in [tex]f^{-1}(3) = 8.75[/tex] into the expression for f'(x):
[tex]f'(8.75) = (3/4)(8.75)^2 + 1 = 19.2031[/tex]
Now we can find the derivative of the inverse function at x = 3:
[tex](f^{-1})'(3) = 1 / f'(f^{-1}(3))\\(f^{-1})'(3) = 1 / f'(8.75)\\(f^{-1})'(3) = 1 / 19.2031[/tex]
[tex](f^{-1})'(3)[/tex] ≈ 0.052
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Rhonda just got promoted in her job as a physical therapy assistant. She will now earn $20.70 per hour. This is 115% of her hourly salary before her promotion. What was her hourly salary before her promotion?
As a result, Rhonda was paid $18 per hour before to being promoted; nevertheless, she will now be paid $20.70 per hour.
what is unitary method ?Finding a single unit value and applying it to ratio and proportional problem solving is known as the unitary method in mathematics. It is frequently employed in order to resolve issues involving either direct proportion, inverse proportion, or both. In the unitary technique, the ratio of the quantities' corresponding unit values is used to indicate the relationship between the quantities. The desired value is then achieved by multiplying or dividing the unit value, as necessary.
given
Let x be the hourly wage Rhonda received prior to her promotion.
The issue states that her new hourly wage is equal to 115% of her previous wage:
20.70 = 1.15x
We can divide both sides by 1.15 to find x:
x = 20.70 / 1.15
x = 18
As a result, Rhonda was paid $18 per hour before to being promoted; nevertheless, she will now be paid $20.70 per hour.
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pls hellpppppppppppppp!!!
Answer:
x = 52
Step-by-step explanation:
The angle x is vertical angle to the 52° angle. Meaning they have the same measurement.
Looking at the options, the answer is x = 52.
Leslie is making these two recipes. Which takes
longer to make, the strawberry bread or the
spaghetti sauce? How many minutes longer
Based on the information in the image, we can infer that the recipe that takes the longest is the one for spaghetti sauce.
How to identify the recipe that takes the longest?To find the recipe that takes the longest we must take into account the information of each of the recipes. In this case, we have preparation time and cooking time. To know the total time we must add these two values.
Additionally, we must establish a magnitude to be able to relate all the values, in this case the most appropriate would be the number of minutes.
So, the preparation of the spaghetti sauce takes 10 minutes and its cooking takes an hour and a half, that is, 90 minutes. On the other hand, strawberry bread takes 20 minutes to prepare and 55 to cook:
10 + 90 = 100 minutes20 + 55 = 75 minutesAccording to the above, the spaghetti sauce takes longer because it takes 25 minutes longer than the strawberry bread.
Note: This question is incomplete. Here is the complete information:
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Write a linear equation in y=mx+b form to represent the scenario.Todd has $450 in his savings. He withdraws $10 per week.
The linear equation in y=mx+b form that represents this scenario is:
y = -10x + 450.
What is a linear equation?
A linear equation is a mathematical equation in which the highest power of the variable(s) is one.
ax + b = 0
or
y = mx + b
where a, b, and m are constants and x and y are variables. In the first form, x is a variable and a and b are constants. In the second form, x and y are variables, m is the slope of the line, and b is the y-intercept.
Let x be the number of weeks that have passed since Todd started withdrawing money from his savings account. Initially, Todd had $450 in his savings, so the amount of money he has left after x weeks is:
450 - 10x
The rate of change of the amount of money Todd has with respect to time is -10, since he is withdrawing $10 per week. Therefore, the slope of the line that represents this situation is -10.
The y-intercept represents the initial amount of money Todd had in his savings, which is $450. Therefore, the linear equation in y=mx+b form that represents this scenario is:
y = -10x + 450
where y is the amount of money Todd has in his savings after x weeks.
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Which of the following is a way your bank can make money? A Your bank can charge you a fee for using an ATM from another bank. B Your bank can charge an annual or monthly fee just for having an account. C Your bank can charge fees if your balance goes below a certain amount. D all of the above
Answer:
D. All of the above
Step-by-step explanation:
Your bank can incur additional revenue by charging you for all of those things
PLEASE PLEASE HELP ME!!!!!!!!
The trapezoid A’B’C’D is a dilation of the trapezoid ABCD. What is the scale factor of the dilation?
Simplify your answer and write it as a proper fraction, an improper fraction, or a whole number.
PLEASE LOOK AT PICTURE!!!!!!
All four ratios are equal to 1/3, the scale factor of the dilation is 1/3
Describe Scale factor?In mathematics, a scale factor is a ratio that describes how much larger or smaller an object or shape is in comparison to its original size. In particular, a scale factor is often used to describe the effect of dilation on an object.
Dilation is a transformation in which an object is enlarged or reduced uniformly in all directions from a fixed point known as the center of dilation. The scale factor for dilation is the ratio of the length of the image to the length of the pre-image.
For example, if a square has a side length of 4 units and is dilated by a factor of 2, the resulting image will have a side length of 8 units. In this case, the scale factor for dilation is 2.
More generally, if an object is dilated by a factor of k, then the length of any given segment in the image will be k times the length of the corresponding segment in the pre-image. Thus, the scale factor for dilation is simply k.
To find the scale factor of the dilation, we need to find the ratio of the corresponding side lengths of the trapezoid A'B'C'D' to the side lengths of trapezoid ABCD.
We can start by finding the length of each side of trapezoid ABCD:
AB = √[(9-(-3))² + (3-0)²] = √(144+9) = √153
BC = √[(9-9)² + (9-3)²] = 6
CD = √[(-3-9)² + (3-9)²] = √(144+36) = √180
DA = √[(-3-(-3))² + (3-0)²] = 3
Next, we can find the length of each corresponding side of trapezoid A'B'C'D':
A'B' = √[(3-(-1))² + (1-0)²] = √(16+1) = √17
B'C' = √[(3-3)² + (3-1)²] = 2
C'D' = √[(-1-3)² + (1-3)²] = √(16+4) = √20
D'A' = √[(-1-(-3))² + (1-0)²] = √4 = 2
Finally, we can find the ratio of the corresponding side lengths of the trapezoid A'B'C'D' to the side lengths of trapezoid ABCD by dividing the lengths of the corresponding sides:
[tex]\frac{A'B'}{AB} =\frac{\sqrt{17} }{153} \\\frac{B'C'}{BC} =\frac{2}{6}=\frac{1}{3} \\\frac{C'D'}{CD} =\frac{\sqrt{20} }{80} =\frac{\sqrt{45} }{445} =\frac{\sqrt{5} }{3\sqrt{5} } =\frac{1}{3} \sqrt{5} \\\frac{D'A'}{DA} =\frac{2}{3}[/tex]
Since all four ratios are equal to 1/3, the scale factor of the dilation is 1/3.
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48805 rounded to the nearest thousand
Answer: 49,000
48805 is greater than 48500, so it rounds to 49,000
The number 325 is equal to a square number multiplied by a prime number.
a) What are these two numbers?
Create a real-word mathematical problem as an equation that can be solved using all three properties
Thus, we should order two large pizzas, that will cost $22, to serve a group of 12.
What do you mean by cost?Costs in accounting are the dollar amounts paid for materials, labor, services, goods, equipment, and other purchases made for use by a company or even other accounting entity. This sum is listed as the price on invoices and is recorded as an expense of asset cost basis in bookkeeping records.
Solution:
Let x be the quantity of pizzas ordered.
12 x 2 = 24 slices are required because a large pizza contains 8 slices per slice.
As a result, the necessary quantity of pizzas is:
[tex]x\geq 3(x-1) \leq x[/tex]
In order to find the best price, we must reduce the total cost, that is determined by:
C(x) = 15x plus 5(x - 1) (x - 1) - 15
Using the cost function's derivative in relation to x, we may calculate:
C'(x) = 20 - 10[tex]/(x-1)^2[/tex]
Finding the critical points by setting the derivative to zero yields the following results:
20 - 10[tex]/(x-1)^2[/tex] = 0
Simplishing, we obtain:
[tex](x-1)^2[/tex]= 2
By solving for x using square root of the both sides, we arrive at:
x = 1 ± √2
The ideal quantity to order is two pizzas because x has to be an integer.
By adding x = 2 to the cost function, we can determine the total cost:
C(2) = 15(2) + 5(2 - 1) - 15 = 22
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Find the value of w and x in the following diagram zoom in
5
32⁰
W
6
to
Round your answers to the nearest hundredth.
The values of the side w and the angle x are 2.649 and 26. 206 degrees respectively.
How to determine the valueIt is important to note that there are different types of trigonometric identities are;
sinetangentcosinesecantcosecantcotangentFrom the image shown, we have;
Using the sine identity
sin θ = opposite/hypotenuse
sin 32 = w/5
find the value
w = 2. 649
To determine the value of angle x , we have;
Using the sine identity
sin x = w/6
sin x = 2. 649/6
sin x= 0. 4416
Take the sine inverse
x = 26. 206 degrees
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monica is a chef at golden corral and works 35 hours a week at $15 her total deductions is $475 what is her monthly pay after deductions
Answer:
Step-by-step explanation:
To find Monica's monthly pay after deductions, we need to first calculate her gross pay (before deductions) for the week:
Gross pay = hours worked x hourly rate
Gross pay = 35 hours x $15/hour
Gross pay = $525
Since we know that her total deductions for the week are $475, we can calculate her net pay (after deductions) for the week:
Net pay = Gross pay - total deductions
Net pay = $525 - $475
Net pay = $50
To find her monthly pay after deductions, we need to multiply her weekly net pay by the number of weeks in a month. Since there are approximately 4.33 weeks in a month, we can round up to 4.5 weeks to be safe:
Monthly pay = weekly net pay x number of weeks in a month
Monthly pay = $50 x 4.5
Monthly pay = $225
Therefore, Monica's monthly pay after deductions is $225.