The ratio a : b : c in its simplest form with integer parts is therefore 11 : 32 : 36.
We are informed that
a : b = 11 : 32 ...(1)
b : c = 8 : 9 ...(2)
We must first determine the ratio between a, b, and c in terms of a common component in order to determine the ratio a: b: c. We may accomplish this by using the variable k and writing:
From equation (1), b = 32k
c = (9/8)
(According to equation (2))
The result of putting the first equation into the second equation is:
c = (9/8)(32k)\s= 36k
Hence, we have:
A = B + C = 32k + 36k
We can enter b = 32k into equation (1) to get:
a : (32k) : 36k = 11 : 32
When we multiply both sides by 32, we obtain:
32a : 32(32k) : 32(36k) = 11(32)
Simplifying:
32a : 1024k : 1152k = 352
When we multiply both sides by 32, we get:
a : 32k : 36k = 11 : 32 : 36
Hence, 11: 32: 36 is the ratio of a: b: c in its simplest form with integer parts.
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Quantitative data can be ___
O discrete
O continuous
O discrete or continuous
O none of the above
Answers:
Quantitative data can be discrete or continuous
Step-by-step explanation:The Qualitative data are also called categorical or attribute data deals with characteristics and descriptors that can't be easily measured but can be observed subjectively. We can say that smells tastes textures attractiveness and color are all examples of qualitative data. We can see that qualitative data are not numerical.for example, dimensions such as height, width, and length, temperature and humidity, prices, area and volume. The Discrete data is a count that cannot be made more precise. Continuous data could be divided and reduced to finer and finer levels.Pls Help! Will give brainliest!
Write the following linear equation in function notation. y = 2x + 5
(A.) f = 2x + 5
(B.) f(x) = 2x + 5
(C.) It is already written in function notation.
(D.) f(y) = 2x+ 5
The given expression is already written in function notation.
Solving linear equationFunction notation is a way of representing a mathematical relationship between two variables, where one variable (usually denoted as x) is the input and the other variable (usually denoted as y) is the output. In this case, y is a function of x, which means that the value of y depends on the value of x.
To write the linear equation y = 2x + 5 in function notation, we replace y with f(x) to get:
f(x) = 2x + 5
This means that f(x) is a function of x, where the output f(x) is equal to 2 times the input x plus 5. The variable f(x) represents the value of y for a given value of x.
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A collectible action figure is worth $1100. The value of the action figure increases by 6% each year.
Which explicit and recursive formulas can be used to model the situation.
Drag and drop each formula to the corresponding box.
In response to the query, we can state that r: the annual rate of increase equation (6% in this case)
What is equation?In a math equation, two assertions are connected by the equals sign (=), which denotes equivalence. A mathematical assertion used in algebraic equations establishes the equivalence of two mathematical statements. For instance, in the equation 3x + 5 = 14, the equal sign creates a space between the values 3x + 5 and 14. To comprehend the relationship between the two sentences written on opposing sides of a letter, utilise a mathematical formula. The logo and the specific programme typically correspond. An illustration would be 2x - 4 = 2.
Explicit Formula:
[tex]a_n = a_0 \times (1 + r)^n[/tex]
Recursive Formula:
[tex]a_n = a_{n-1} \times (1 + r)[/tex]
where:
[tex]a_n[/tex]: the value of the action figure after n years
[tex]a_0[/tex]: the initial value of the action figure ($1100 in this case)
r: the annual rate of increase (6% in this case)
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V(0) is the initial value of the action figure, and the recursive formula calculates the value of the action figure after n years by adding 6% of the previous year's value to the previous year's value.
What is equation?
In a math equation, two assertions are connected by the equals sign (=), which denotes equivalence. A mathematical assertion used in algebraic equations establishes the equivalence of two mathematical statements.
Let V(n) be the value of the action figure after n years.
Explicit formula:
V(n) = 1100(1 + 0.06)^n
Recursive formula:
V(0) = 1100
V(n) = V(n-1) + 0.06V(n-1)
Therefore, V(0) is the initial value of the action figure, and the recursive formula calculates the value of the action figure after n years by adding 6% of the previous year's value to the previous year's value.
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1. You work at a department store that needs at least 4200 labor hours covered per week. It employs full-time staff 40 hours per week and part-time staff 25 hours per week. The cost to employ a full-time staff member is more because the company pays benefits such as health care and life insurance
Full-time
Part-time
Hours per Week Cost per Hour
40 hr
$25
25 hr
$18
The store manager also knows that to make the store run efficiently, the number of full-time employees must be at least 1.25 times the number of part-time employees. You have been asked to help the store manager determine the number of full-time employees and the number of part-time employees that should be used to minimize the weekly labor cost.
a. Clearly define the variables in this problem.
b. Clearly state the constraints (all inequalities) related to the feasible region.
c. State the objective function.
d. Use the graphical method to
solve: Graph the solution region, showing the intercepts used. Label axes, units, points, and lines. Find and label all corner points. The grid for the graph is on the next page.
Show all necessary work.
e. In a complete sentence, state the number of full-time employees and the number of part-time employees that should be used to minimize the weekly labor cost.
Using linear programming, the minimum weekly labor cost of $2,616 occurs when there are 84 full-time employees and 67.2 part-time employees (which can be rounded up to 68 part-time employees)
What are the variables in this problema. Let x be the number of full-time employees and y be the number of part-time employees.
b. The constraints are:
Full-time employees work 40 hours per week, so the total number of full-time labor hours used must be at least 40x.Part-time employees work 25 hours per week, so the total number of part-time labor hours used must be at least 25y.The total number of labor hours used must be at least 4200: 40x + 25y ≥ 4200The number of full-time employees must be at least 1.25 times the number of part-time employees: x ≥ 1.25yThe number of full-time and part-time employees must be non-negative: x ≥ 0 and y ≥ 0c. The objective function is to minimize the weekly labor cost, which is given by:
Cost = 25x + 18y
d. To graph the solution region, we can first graph the inequality 40x + 25y ≥ 4200 as a line:
Convert the inequality to an equation: 40x + 25y = 4200Solve for y: y = (4200 - 40x)/25 = (168 - 1.6x)Plot the y-intercept: (0, 168)Plot the x-intercept: (105, 0) (found by setting y = 0 and solving for x)Draw the line passing through the two intercepts.Next, we can graph the inequality x ≥ 1.25y as a line:
Convert the inequality to an equation: x = 1.25yPlot two points on the line: (0, 0) and (0, 0) (found by setting y = 0 and x = 0 respectively)Draw the line passing through the two points.The feasible region is the shaded region that satisfies all the constraints and is bounded by the two lines and the x and y axes:
To find the corner points, we can solve the system of equations for the lines that form the boundaries of the feasible region:
40x + 25y = 4200 and x = 0 (y-axis intercept) --> (0, 168)40x + 25y = 4200 and y = 0 (x-axis intercept) --> (105, 0)x = 1.25y and y = 0 (x-axis intercept) --> (0, 0)x = 1.25y and 40x + 25y = 4200 --> (84, 67.2)Now we can evaluate the objective function at each of the corner points:
(0, 0): Cost = 0(0, 168): Cost = 25(0) + 18(168) = 3024(105, 0): Cost = 25(105) + 18(0) = 2625(84, 67.2): Cost = 25(84) + 18(67.2) = 2616Therefore, the minimum weekly labor cost of $2,616 occurs when there are 84 full-time employees and 67.2 part-time employees (which can be rounded up to 68 part-time employees).
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Jack has 7 yards of rope. He wants to cut it into pieces of different sizes. Jacks needs 84 inches of rope to tie some packages and 4 feet of rope for another project. Does Jack have enough rope? Explain.
Jack does have enough length of rope to tie his packages.
Explain about the unit conversions?The same attribute is presented using a unit conversion, but in a differing unit of measurement. For examples, time can be indicated in minutes rather than hours, and distance can be depicted in kilometers, feet, or other types of measurement unit instead of miles.
7 yards of rope belong to Jack. He desires to separate this into pieces of various sizes. Jacks requires 4 feet of rope for one project and 84 inches of rope to bind some items.So, concert all units in inches:
7 yards = 7*36 = 252 inches
4 feet = 4*12 = 48 inches.
Total length of rope = 252 inches.
Required rope = 84 inches + 48 inches
Required rope = 132 inches.
Thus, Jack does have enough rope to tie his packages.
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The question is present in the image
The value of variables are,
a = 0
c = 7
d = 2
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ [tex]\frac{32x^{4} y^{3} z^{- 6} }{(4x^{2} y^{-2} z^{-2})^2 } = \frac{Ax^ay^c}{z^d}[/tex]
Now, We can simplify as;
⇒ [tex]\frac{32x^{4} y^{3} z^{- 6} }{(4x^{2} y^{-2} z^{-2})^2 } = \frac{Ax^ay^c}{z^d}[/tex]
⇒ [tex]\frac{32x^{4} y^{3} z^{- 6} }{(16x^{4} y^{-4} z^{-4}) } = \frac{Ax^ay^c}{z^d}[/tex]
⇒ [tex]\frac{2x^0y^7}{z^2} = \frac{Ax^ay^c}{z^d}[/tex]
By comparing, we get;
a = 0
c = 7
d = 2
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You write 6 3/10 pages of a report in 2 1/3 hours. What is the average number of pages you write per hour?
the answer is 2 5/14
Answer:
Step-by-step explanation:
To find the average number of pages written per hour, we need to divide the total number of pages written by the total time taken:
Total pages written = 6 3/10 = 63/10
Total time taken = 2 1/3 = 7/3
Average pages written per hour = Total pages written / Total time taken
= (63/10) / (7/3)
= (63/10) x (3/7)
= 9/2
Therefore, the average number of pages written per hour is 9/2, which is equal to 4.5 pages per hour.
Kira works mowing lawns and babysitting. She earns $9.20 an hour for mowing and $7.50 an hour for babysitting. How much will she earn for 6 hours of mowing and 1 hour of babysitting?
Answer:
$62.70
Step-by-step explanation:
of means "x"
and means "+"
6 hours of mowing and 1 hour of babysitting
(6 hours of mowing) + ( 1 hour of babysitting)
6 hours of mowing
6 hours x mowing
6x9.20 = answer 1
1 hour of babysitting
1 hour x babysitting
1 x 7.50 = answer 2
add both answers together to get final answer
the quotient of 7 and the sum of 8 and m
Answer: :)
n
_
8
I used n as the unknown number
Step-by-step explanation:
The quotient is the result of division between two numbers.
The quotient of a number (I used n) and 8 would be n 8
On jeopardy during the month of September the champions Won a total of $694563 assuming that there were 22 jeopardy shows in September what was the average amount won each day by the champions
Answer:
To find the average amount won each day by the champions, we need to divide the total amount won by the number of days:
Average amount won each day = Total amount won / Number of days
Total amount won = $694,563
Number of days = 22
Average amount won each day = $694,563 / 22 = $31,611.95 (rounded to the nearest cent)
Therefore, the average amount won each day by the champions on Jeopardy in September was approximately $31,611.95.
Step-by-step explanation:
Which expression represents the distance between Q and R
Answer:
Translation
Step-by-step explanation:
Translation
Evaluate the given expression:
In answering the question above, the solution is The answer is s 4 = 632 expressions as a result.
what is expression ?In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions. Any mathematical statement containing variables, numbers, and a mathematical action between them is known as an expression, often known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.
Let's start by condensing the expression included within the summation:
[tex]2(3^n - 1) = 2*3^n - 2[/tex]
We may now enter the following expression in the original equation:
[tex]s_4[/tex] = 4 * ∑[tex](k=1[/tex]to [tex]4) 2(3^k - 1)[/tex]
[tex]s_4 = 4 * [2(3^1 - 1) + 2(3^2 - 1) + 2(3^3 - 1) + 2(3^4 - 1)]\\s_4 = 4 * [2(3^1 + 3^2 + 3^3 + 3^4) - 8]\\s_4 = 4 * [2(3^1 + 3^2 + 3^3 + 3^4) - 2^3]\\s_4 = 4 * [2(80) - 8]\\s_4 = 632[/tex]
The answer is s 4 = 632 as a result.
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The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year.
P = $370, r = 2%, t = 2 years
Step-by-step explanation:
Using the formula for simple interest:
Simple Interest = P * r * t
where P is the principal, r is the rate of interest, and t is the time in years.
Substituting the given values:
Simple Interest = $370 * 0.02 * 2 = $14.80
Therefore, the simple interest owed for the use of the money is $14.80.
A shop employs one man and one woman as shop assistants. The man works for 10 hours per day and the woman for 8 hours per day, and their wages per hour are in the ratio 7:5 If the woman receives $24 per day, find the man's daily wage.
The man's daily wage is given as follows:
$42.
How to obtain the man's daily wage?The man's daily wage is obtained applying the proportions in the context of the problem.
Their wages per hour are in the ratio 7:5, hence the man's hourly wage is 7/5 of the woman's hourly wage, hence:
7/5 x 24/8 = 7/5 x 3 = 21/5 = $4.2 per hour.
The man works 10 hours a day, hence the daily wage is given as follows:
10 x 4.2 = $42.
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-3 + ___= -1.9
What is in the missing blank
Answer:
1.1
Step-by-step explanation:
-3+1.9 =-1.1
-3+1.1=-1.9
Answer:
-3 + 1.1 = -1.9
Step-by-step explanation:
Let us assume that,
→ Missing number = m
Now we have to,
→ Find the required value of m.
Forming the equation,
→ -3 + m = -1.9
Then the value of m will be,
→ -3 + m = -1.9
→ m - 3 = -1.9
→ m = -1.9 + 3
→ [ m = 1.1 ]
Hence, the value of m is 1.1.
5x ^ 2 y^ prime prime +23xy^ prime +16.2y=0
Answer:
Step-by-step explanation:
5
Kevin put a deposit of 10% on his new car. The deposit was $4000, so how much does he still owe?
Answer:
3600
Step-by-step explanation:
Based on the given conditions, formulate: 4000 x ( 1 - 10\% )
Calculate the sum or difference:4000 x 0.9
Calculate the product or quotient:3600
get the result: 3600
Answer: 3600
Select which option is most appropriate for describing the number line below.
Answer:
Answer D is correct
Step-by-step explanation:
Which expression represents the prime factorization of 192?
A. 2 x 2 x 2 x 2 x 12
B. 2 x 2 x 2 x 2 x 2 x 3
C. 3 x 2 x 2 x 2 x 2 x 2 x 2
D. 2 x 2 x 2 x 2 x 2 x 3 x 3
The expression represents the prime factorization of 192 is 2×2×2×2×2×2×3. Therefore, option C is the correct answer.
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
The given number is 192.
The prime factorization is process of writing the given number into product of prime numbers.
Here, 192= 2×2×2×2×2×2×3
Therefore, option C is the correct answer.
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ANWSER QUICK
After a couple of years, you’ve decided to sell your house. You originally bought it for $250,000 and spent an additional $10,000 in renovations, Your realtor thinks you can sell it for $290,000.
The profit to be made by selling the house for $290000 is $30000
What is an equation?An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.
You originally bought it for $250,000 and spent an additional $10,000 in renovations, Hence:
Total money spent = $250000 + $10000 = $260000
The realtor thinks you can sell it for $290,000. Therefore:
Profit = $290000 - $260000 = $30000
The profit to be made by selling the house is $30000
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For problems 7-12, consider the sets below, and indicate if each statement is true or false.
A = {1, 2, 3, 4, 5} B = {1, 3, 5} C = {4, 6} U = {numbers from 0 to 10}
7. 3 ∊ B 8. 5 ∊ C 9. B ⊂ A 10. C ⊂ A 11. C ⊂ B 12. C ⊂ U
Using the sets from above, and treating U as the Universal set, find each of the following:
13. A ⋃ B 14. A ⋃ C 15. A ⋂ C 16. B ⋂ C 17. A c 18. B c
The correct statements are 7. 3 ∈ B, 9. B ⊂ A, 12. C ⊂ U
13. A ⋃ B = {1, 2, 3, 4, 5, } 14. A ⋃ C = { 1, 2, 3, 4, 5, 6}
15. A ⋂ C = { 4 } 16. B ⋂ C = { }
17. [tex]A^{c}[/tex] = {6, 7, 8, 9, 10} 18. [tex]B^{c}[/tex] = {0, 2, 4, 6, 7, 8, 9, 10}
What are sets:
In mathematics, a set is a collection of distinct objects, which are called its elements or members. These objects can be anything - numbers, letters, people, animals, or other sets.
Sets are typically denoted using curly braces, and the elements of the set are listed inside the braces, separated by commas.
Here we have
A = {1, 2, 3, 4, 5} B = {1, 3, 5} C = {4, 6} and U = {numbers from 0 to 10}
=> U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }
i. Indicate if each statement is true or false.
7. 3 ∈ B which means 3 belongs to set B
Since, set B = {1, 3, 5}
=> ∴ 3 ∈ B is true
8. 5 ∈ C which means 5 belongs to set C
The set C = {4, 6}
=> 5 ∈ C is false
9. B ⊂ A which means B is a subset of A and elements of B are belongs to set A.
Since elements of B are lies in set A
=> B ⊂ A is true
10. C ⊂ A which means C is a subset of A
Since all the elements of C are not lie in set A
=> C ⊂ A is false
11. C ⊂ B which means C is a subset of B
Since all the elements of C are not lie in set B
=> C ⊂ B is false
12. C ⊂ U which means C is a subset of U
Since all the elements of C are lies in U
=> C ⊂ U is true
13. A ⋃ B = {1, 2, 3, 4, 5} ∪ {1, 3, 5} = {1, 2, 3, 4, 5, }
14. A ⋃ C = {1, 2, 3, 4, 5} ∪ {4, 6} = { 1, 2, 3, 4, 5, 6}
15. A ⋂ C = {1, 2, 3, 4, 5} ⋂ {4, 6} = { 4 }
16. B ⋂ C = {1, 3, 5} ⋂ {4, 6} = { }
17. [tex]A^{c}[/tex] = The elements in the universal set but not in A = {6, 7, 8, 9, 10}
18. [tex]B^{c}[/tex] = The elements in universal set but not in B = {0, 2, 4, 6, 7, 8, 9, 10}
Therefore,
The correct statements are 7. 3 ∈ B, 9. B ⊂ A, 12. C ⊂ U
13. A ⋃ B = {1, 2, 3, 4, 5, } 14. A ⋃ C = { 1, 2, 3, 4, 5, 6}
15. A ⋂ C = { 4 } 16. B ⋂ C = { }
17. [tex]A^{c}[/tex] = {6, 7, 8, 9, 10} 18. [tex]B^{c}[/tex] = {0, 2, 4, 6, 7, 8, 9, 10}
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Create 5 examples of gains and losses using positive and negative numbers.
Answer:
Step-by-step explanation:
gain
loss
gain loss
gain
Answer:
Gains : +1,+10,+3
loss: -3,-5,-9,-100
Step-by-step explanation: I think this question is basically just asking about givings examples of positive and negative numbers
ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST FOR ANSWER
I think it is C. but i am a little rusty
g(x)=-4x^2+36/x+3 What key features does f(x), shown in the graph, share with g(x), shown in the equation? Select three options.
The graph's function g(x) has a single x-intercept, a y intercept, a vertical asymptote, an oblique asymptote, and both.
Describe Asymptotes?Asymptotes are points along a line that a curve approaches but never touches. The term "asymptote" refers to the point at which a function's graph converges. Asymptotes are often not necessary when graphing functions.
There are three distinct asymptotes.
Asymptote horizontal (HA) - Given that it is horizontal, its equation has the form y = k. The horizontal asymptote is the point at which the function f(x) tends to zero.
As it is a vertical line, the vertical asymptote's equation has the form x = k. When the denominator of a rational function approaches towards 0, vertical asymptotes are defined.
The equation for the slanting asymptote (also known as the oblique asymptote) is y = mx + b since the line is inclined.
given the information,
Let's write the function as g. (x)
The value of g (x) is right now.
g (x) = ( -4x² + 36) / (x + 3)
We gain by simple.
g (x) = -4x² - 4×9) / (x + 3)
We gain more after additional simplification.
g (x) = -4 (x + 3) (x - 3) / (x + 3)
g (x) = -4x + 12
There is now a vertical asymptote for the function at (0, 12)
There is a horizontal asymptote for the function at (3, 0)
The function is so resolved.
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The complete question is:
G(x)=-4x^2+36/x+3
What key features does f(x), shown in the graph, share
with g(x), shown in the equation? Select three options.
at least one x-intercept
at least one y-intercept
Dan oblique asymptote
O a vertical asymptote
the domain of x
Answer:
Step-by-step explanation:
Mica is going to buy a computer for $2,000. He
can finance it at the store for 14% interest for
2 years, or he can use his credit card at 21%
interest for 1 year.
1. Find the monthly payment for each option.
Answer in the box.
2. Find the total repayment for each option.
Answer in the box.
Answer: To find the monthly payment for each option, we can use the following formula:
Monthly Payment = Total Cost * (Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))
For the option to finance at the store for 2 years at 14% interest:
Total Cost = $2,000
Monthly Interest Rate = 14% / 12 = 0.011667
Number of Months = 2 years x 12 months/year = 24 months
Substituting these values into the formula, we get:
Monthly Payment = $2,000 * 0.011667 / (1 - (1 + 0.011667)^(-24)) = $95.13
Therefore, the monthly payment for financing at the store for 2 years at 14% interest is $95.13.
For the option to use his credit card at 21% interest for 1 year:
Total Cost = $2,000
Monthly Interest Rate = 21% / 12 = 0.0175
Number of Months = 1 year x 12 months/year = 12 months
Substituting these values into the formula, we get:
Monthly Payment = $2,000 * 0.0175 / (1 - (1 + 0.0175)^(-12)) = $185.44
Therefore, the monthly payment for using his credit card at 21% interest for 1 year is $185.44.
To find the total repayment for each option, we can multiply the monthly payment by the number of months:
For the option to finance at the store for 2 years at 14% interest:
Total Repayment = $95.13/month x 24 months = $2,283.12
Therefore, the total repayment for financing at the store for 2 years at 14% interest is $2,283.12.
For the option to use his credit card at 21% interest for 1 year:
Total Repayment = $185.44/month x 12 months = $2,225.28
Therefore, the total repayment for using his credit card at 21% interest for 1 year is $2,225.28.
Step-by-step explanation:
PLEASE HELP !!!! IM SO CONFUSED
For your question just change domain x=-4,-2,0,2,4 to the function y=-1/2x to find y and graph.
find x, show proofs
The side x of the similar triangle is 12.7 units.
How to find the side of a triangle?The triangles are similar triangle.
Two triangles are said to be similar when they have two corresponding angles congruent and the sides proportional.
Therefore, using the proportion
37- 5 / x = x / 5
Evaluate the difference of 37 and 5
32 / x = x / 5
Cross multiply the equation
x × x = 32 × 5
So, we have
x² = 160
Take the square root of both sides
x = √160
Evaluate the square roots
x = 12.6491106407
Hence, the value of x is x = 12.7 units (when approximated)
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A trapezium is shown below.
Work out the sizes of angles x and y.
Give your answers in degrees (°).
145°
X
Y
62°
PLEASE DO IT FOR 20 points
Answer:
x=118
y= 35
Step-by-step explanation:
180-62= 118
180-145=35
The value of x from the trapezium is 118° and the value of y from the trapezium is 35°.
What is a trapezium?
A trapezium is a quadrilateral with two parallel sides. It has two non-parallel sides that are called the legs of the trapezium, and the other two sides are called the bases.
From the given trapezium 4 angles are x, y, 62° and 145°.
Here, x+62°=180° (Sum of allied angles is 180°)
x=180°-62°
x=118°
Now, y+145°=180°
y=180°-145°
y=35°
Therefore, the value of x from the trapezium is 118° and the value of y from the trapezium is 35°.
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To help pay for culinary school, Keiko borrowed money from her credit union.
She took out a personal, amortized loan for $50,000, at an interest rate of 5.5%, with monthly payments for a term of 10 years.
For each part, do not round any intermediate computations and round your final answers to the nearest cent.
If necessary, refer to the list of financial formulas.
(a) Find Keiko's monthly payment.
$0
(b) If Keiko pays the monthly payment each month for the full term,
find her total amount to repay the loan.
$0
(c) If Keiko pays the monthly payment each month for the full term,
find the total amount of interest she will pay.
$0
X
If to help pay for culinary school, Keiko borrowed money from her credit union:
a. Keiko's monthly payment is $542.63.
b. The total amount to repay the loan is $65,115.60
c. The total amount of interest she will pay is $15,115.60
What is the monthly payment?(a) To find Keiko's monthly payment, we can use the formula for calculating the monthly payment for an amortized loan:
P = (r * A) / (1 - (1 + r)^(-n))
Where:
P =Monthly payment
A= loan amount
r = Monthly interest rate
n = Total number of payment
Plugging in the values for Keiko's loan, we get:
P = $50,000
r = 0.055 / 12 = 0.00458
n = 10 * 12 = 120
P = (0.055/12 * $50,000) / (1 - (1 + 0.055/12)^(-120)) = $542.63
(b) If Keiko pays the monthly payment each month for the full term, the total amount she will repay the loan will be:
Total amount = Monthly payment * Total number of payments
= $542.63* 120 = $65,115.60
(c) If Keiko pays the monthly payment each month for the full term, the total amount of interest she will pay will be:
Total interest = Total amount - Loan amount
=$65,115.60 - $50,000 = $15,115.60
So, Keiko will pay a total of $15,115.60 in interest over the 10-year term of the loan.
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which of the following is a set of complementary angles ?
(PLEASE HELP THIS IS DUE TODAY!!!!)
None of the given angles are complementary angles.
What is angle ?An angle is a geometric figure formed by two rays with a common endpoint called the vertex. The rays are also known as the sides or legs of the angle. Angles are usually measured in degrees or radians and are used to measure the amount of rotation between two lines or planes.
According to given information :The sum of two angles is 90 degrees if and only if they are complementary angles.
Using this concept, we can add up the angles in pairs to see which ones are complementary:
Angle AFB + Angle BFC = 40 + 60 = 100 degrees (not complementary)
Angle BFC + Angle CFD = 60 + 50 = 110 degrees (not complementary)
Angle CFD + Angle DFE = 50 + 30 = 80 degrees (not complementary)
Angle AFB + Angle DFE = 40 + 30 = 70 degrees (not complementary)
Therefore, none of the given angles are complementary angles.
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Answer:
Below
Step-by-step explanation:
BFC = 60 degrees and DFE = 30 degrees <===so they are complementery
because they sum to 90°