Answers
Answer:
x=24 y=9.8
Step-by-step explanation:
5y-23=3x
47+3x+2x+13=180
Related Questions
how long will it take a $2 000 investment to earn $544 in interest at a 1.7 interest rate
Answers
Answer:
16 years
Step-by-step explanation:
1.7% of 2000 is $34
$544 divided by $34 = 16 years, that is if the interest is yearly and not monthly though
It will take 16 years for a $2,000 investment to earn $544 in interest at a 1.7% interest rate.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that it take a $2 000 investment to earn $544 in interest at a 1.7 interest rate.
We have to find the time.
We can use the simple interest formula to solve this problem:
I = Prt
where I is the interest earned,
P is the principal,
r is the interest rate per time period, and
t is the time period.
Given that Principle amount = $2,000,
Interest I = $544, and
Interest rate r = 1.7% per year.
Percentage value is converted to decimal by dividing with 100.
1.7/100=0.017
We need to find t in years.
Substituting the given values into the formula, we get:
544 = 2,000 × 0.017t
544=34t
Divide both sides by 34
t = 544 /34
t = 16
Therefore, it will take 16 years for a $2,000 investment to earn $544 in interest at a 1.7% interest rate.
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use the Simplex method to find the minimum value of the objective function w = 9x1 + 6x2 Subject to the constraints: x1 +2x2 ≥ 5 2x1 + 2x2 ≥ 8 2x2 +x2 ≥ 6 Where x1 ≥ 0 and x2 ≥ 0
Answers
The optimal solution is x1 = 4, x2 = 0, x3 = 1, w = 0, and the minimum value of the objective function is 0.
To solve this linear programming problem using the Simplex method, we first need to convert it into standard form by introducing slack variables.
Our problem can be rewritten as follows:
Minimize w = 9x1 + 6x2
Subject to:
x1 + 2x2 + x3 = 5
2x1 + 2x2 + x4 = 8
x1 + 2x2 + 2x3 = 6
where x1, x2, x3, and x4 are all non-negative variables.
Next, we set up the initial simplex tableau:
Basic Variables x1 x2 x3 x4 RHS
x3 1 2 1 0 5
x4 2 2 0 1 8
x5 1 2 2 0 6
z -9 -6 0 0 0
The last row represents the coefficients of the objective function. The negative values in the z-row indicate that we are minimizing the objective function.
To find the pivot column, we look for the most negative coefficient in the z-row. In this case, the most negative coefficient is -9, which corresponds to x1. Therefore, x1 is our entering variable.
To find the pivot row, we calculate the ratios of the RHS values to the coefficients of the entering variable in each row. The smallest positive ratio corresponds to the pivot row. In this case, the ratios are:
Row 1: 5/1 = 5
Row 2: 8/2 = 4
Row 3: 6/1 = 6
The smallest positive ratio is 4, which corresponds to row 2. Therefore, x4 is our exiting variable.
To perform the pivot operation, we divide row 2 by 2 to make the coefficient of x1 equal to 1:
Basic Variables x1 x2 x3 x4 RHS
x3 0 1 1 -1 1
x1 1 1 0 1/2 4
x5 0 1 2 -1 2
z 0 -3 9 9/2 -18
We repeat the process until all coefficients in the z-row are non-negative. In this case, we can stop here because all coefficients in the z-row are non-negative.
Therefore, the optimal solution is x1 = 4, x2 = 0, x3 = 1, w = 0, and the minimum value of the objective function is 0.
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Use the product notation to rewrite the following expression. (t − 6) · (t2 − 6) · (t3 − 6) · (t4 − 6) · (t5 − 6) · (t6 − 6) · (t7 − 6) = π7k = 1
Answers
The expression ((t − 9) · (t² − 9) · (t³ − 9) · (t⁴ − 9) · (t⁵ − 9) · (t⁶ − 9) · (t⁷ − 9) can be written in terms of product notation as Π⁷k=1 \((t^k - 9)\).
As per the question, we can write the expression as:
(t − 9) · (t² − 9) · (t³ − 9) · (t⁴ − 9) · (t⁵ − 9) · (t⁶ − 9) · (t⁷ − 9)
Using product notation, we can write this as:
Π⁷k =1 \((t^k - 9)\)
where Π represents the product of terms, k is the index of the product, and the subscript 7 indicates that the product runs from k = 1 to k = 7.
Therefore, the expression ((t − 9) · (t² − 9) · (t³ − 9) · (t⁴ − 9) · (t⁵ − 9) · (t⁶ − 9) · (t⁷ − 9) can be written in terms of product notation as Π⁷k=1 \((t^k - 9)\).
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IN-TEXT EXERCISE 14.5
The market demand function for corn is Qᵈ=15−2P and the market supply function is Qˢ=5P−6, both quantities measured in billions of bushels per year. What are the aggregate surplus, consumer surplus, and producer surplus at the competitive equilibrium?
goods she consumes iess ner expendrure on those goods. Aggregate consumer surplus is the sum of mdridual consumers surptuses, which equals the sum of consumers' total willingness to pay less their total expenditure. Where doing so does not create confusion, we'll call this concept simply the consumer surplus.
We can use the market demand curve to measure consumer surplus. (C) Figure 14.18(b) (page 502) shows the consumer surplus in the competitive equilibrium of the corn market. Total expenditure equals the area of rectangle ABCD (it's $25 billion, the equilibrium price of $2.50, times the total amount of corn bought, 10 billion bushels). Since consumer surplus is the difference between the total willingness to pay. measured by the area under the market demand curve up to 10 billion bushels, and the total expenditure, each year it equals the area of the blue-shaded triangle, $25 billion.
In 1 Section 9.5, we introduced the notion of a firm's producer surplus, equal to the firm's total revenue less its avoidable cost. (The firm's profit equals its producer surplus less its sunk costs.) Aggregate producer surplus equals the sum of the individual firms' producer surpluses, which equals the sum of firms' revenues less their avoidable costs. Where doing so does not create confusion, we'll refer to this concept simply as preducer surplus. [4.
Figure 14.18(b) shows how to use the market supply curve to measure the producer surplus in the equilibrium of the corn market. Total revenue, which is the same as the total expenditure by consumers, is the area of the rectangle ABCD. Since producer surplus is the difference between firms' revenue and their avoidable costs, which equal the area under the market supply curve up to 10 billion bushels. each year it equals the area of the yellow-shaded triangle, $10 billion.
Comparing Figures 14.18(a) and ( ) (b), we can see that the green-shaded area in Figure 14.18(a) equals the sum of the blue- and yellow-shaded areas in Figure 14.18(b), which represent consumer surplus and producer surplus, respectively. So:
Aggregate surplus = Consumer surplus + Producer surplus (9)
Formula (3) shows that aggregate surplus, society's total net benefit, is composed of the piece consumers get (consumer surplus) plus the piece that firms get (producer surplus). 15 When we study government intervention into markets in 10 Chapter 15. however, we'll also need to take into account the piece that government gets. Nonetheless, our ability to use market demand and supply curves to measure consumer and producer surplus will prove very helpful.
Answers
In this problem, the market demand function for corn is Qd = 15 - 2P and the market supply function is Qs = 5P - 6, both quantities measured in billions of bushels per year.Aggregate Surplus:The equilibrium occurs at the point where Qd = Qs. Equating these two we get,15 - 2P = 5P - 6Solving for P, P = $2.50.
Qd = 15 - 2(2.50) = 10 billion bushels and Qs = 5(2.50) - 6 = 7.5 billion bushels.Aggregate surplus = Total willingness to pay - Total expenditureAggregate surplus = (1/2) × P × Q - Total expenditureAt equilibrium, Total expenditure is the area of the rectangle ABCD, which is $25 billion.Aggregate surplus = (1/2) × P × Q - Total expenditure = 12.5 - 25 = -$12.5 billionConsumer Surplus:Consumer surplus is the difference between the total willingness to pay measured by the area under the market demand curve up to 10 billion bushels and the total expenditure.Consumer surplus is the blue shaded triangle.
Producer surplus is the yellow shaded triangle.Producer surplus = (1/2) × (2.50 - 0) × 7.5 = $9.375 billion Comparing Figures 14.18(a) and (b), we can see that the green shaded area in Figure 14.18(a) equals the sum of the blue and yellow shaded areas in Figure 14.18(b), which represent consumer surplus and producer surplus, respectively. .
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PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS ASSSSSSAAAAAAAP HELPPPPPPPPPPPPPPPP
Answers
Answer:
hablas verja ijueputa mamaverja
A=18 B=3 bc +4 Substitute the value with a number evaluate each algebraic expression using the given values. What is the number?
Answers
Answer:
YNW MELLY
Step-by-step explanation:YNW MELLY
Factorise the following
\(4 {a}^{2} v {}^{5} - 18av {}^{2} \)
Answers
The factors of the given expression are 2av² and (2av³-9).
The given expression is 4a²v⁵-18av².
The factors are the polynomials which are multiplied to produce the original polynomial.
2av²(2av³-9)
Therefore, the factors of the given expression are 2av² and (2av³-9).
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On January 22, 2006, basketball player Kobe Bryant if the Los Angles Lakers scored 81 points in a victory over the Toronto Raptors. During the game many fans suggested that Kobe had the hot hand. However, even though this was a truly amazing PERFORMANCE, it is possible that the outcomes of Kobe's shots were independent and he did not have the hot hand. Overall, he made 29 shots in 46 attempts. Explain what it means for the outcomes of Kobe's shots to be independent
Answers
If the outcomes of Kobe Bryant's shots were independent, it means that each shot he took was not influenced by the previous shots he made or missed.
When the outcomes of Kobe Bryant's shots are independent, it implies that his shooting performance on any given shot is not affected by his previous successes or failures. In other words, whether he made or missed a shot in the past does not change the probability of him making the next shot. Each shot is considered as a separate event, unaffected by the outcome of the preceding shot.
The concept of the hot hand suggests that a player's performance can be streaky, where they experience a period of increased accuracy after a series of successful shots. However, statistical analysis has shown that this perception of the hot hand is often a result of cognitive biases rather than a consistent pattern in performance.
In Kobe Bryant's case, if his shots were independent, his remarkable performance of scoring 81 points in a game does not necessarily imply that he had a hot hand. Instead, it suggests that he was consistently successful in his shooting attempts throughout the game, regardless of any perceived streaks or patterns.
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Please answer in an hour! You will get a thumbs up.
Question 1 (a)
Assume you purchase a new tractor on Jan 1, 2022 for a cost of $200,000. You estimate you will be able to use the tractor for 10 years, and it will have a salvage value of 10% of the original by the end of its useful life. Determine the book value at the end of the first year (December 31, 2022) using straight-line depreciation.
options:
$18,000
$180,000
$185,000
$182,000
Question 1 (b)
A balance sheet (using current and noncurrent assets and liabilities- no intermediate) shows that a farmer has current assets of $80,000 and owner equity of $100,000. Her current ratio is 2 and her debt/equity ratio is 1.0. Determine the farmer's noncurrent liabilities.
Question 1 (b) options:
$40,000
$60,000
$100,000
unable to determine
Answers
Question 1a
To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:
Annual Depreciation = (Cost - Salvage Value) / Useful Life
Substituting the given values, we get:
Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year
This means that the tractor will depreciate by $18,000 each year for the next 10 years.
To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:
Depreciation Expense for Year 1 = $18,000
Therefore, the book value of the tractor at the end of the first year will be:
Book Value = Cost - Depreciation Expense for Year 1
= $200,000 - $18,000
= $182,000
So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D
Question 1(b)
To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:
Calculate the total current liabilities using the current ratio:
Current Ratio = Current Assets / Current Liabilities
2 = $80,000 / Current Liabilities
Current Liabilities = $80,000 / 2
Current Liabilities = $40,000
Calculate the total liabilities using the debt/equity ratio:
Debt/Equity Ratio = Total Liabilities / Owner Equity
1.0 = Total Liabilities / $100,000
Total Liabilities = $100,000 * 1.0
Total Liabilities = $100,000
Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:
Noncurrent Liabilities = Total Liabilities - Current Liabilities
Noncurrent Liabilities = $100,000 - $40,000
Noncurrent Liabilities = $60,000
Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.
The first step in attempting to factor the expression x2−7x+10 is to write out all of the factor pairs. Which of the following is the complete list of factor pairs for the constant term in this expression?
1 and 10, 2 and 5, −1 and −10, −2 and −5
1 and 9, 2 and 8, 3 and 7, 4 and 6, 5 and 5
−1 and 7, 1 and −7
1 and 10, 2 and 5
Answers
Answer:
1 and 10, 2 and 5,-1 and -10,-2 and -5
Step-by-step explanation:
i jus took the check
The complete list of factor pairs for the constant term in this expression are
1 and 10, 2 and 5, −1 and −10, −2 and −5
The standard form of a quadratic equation is expressed as;
ax²+bx+c = 0
Given the quadratic equation x²−7x+10
To factor this expression, we need to get two values if when multiplied will give 10 (product of the coefficient of x²and the constant term) and the sum will give -7(coefficient of x).
The two values are:
-2 and -5
-2 * -5 = +10-2-5 = -72 and 5
2 * 5 = 102 + 5 = 71 and 10
1 * 10 = 0-1 and -10
-1 * -10 = 10Learn more here: https://brainly.com/question/22852340
can I get a answer within 10 min becoz it's very urgent
Answers
Answer:
4a^2-b^2a-4b^2-2a^b-4ab/b(a+4)(a+b)
Step-by-step explanation:
is -1 8/21 a irrational number
Answers
Answer:
yes
Step-by-step explanation:
because -1 8/21 is irrational
What are your tips for memorizing the functions sin, cos, tan, cot, csc, and sec?
Answers
The nonsense syllables Oh, Ah, and Oh-Ah (i.e. /o o. /) for O/H, A/H, and O/A can also be memorized as a substitute for the letters Sin, Cos, and Tan. For these letters, longer mnemonics like "Oscar Has A Hold On Angie" and "Oscar Had A Heap of Apples" can be used.
What is meant by function?A mathematical formula, rule, or legislation that establishes the link between the independent variable and the dependent variable (the dependent variable). At its most basic level, management is a discipline made up of the following five general tasks: organizing, staffing, leading, and controlling. A corpus of theories and practices on how to be a great manager includes these five functions. The eight categories are power, quadratic, rational, exponential, logarithmic, sinusoidal, polynomial, and linear. When examining a graph, one method is to perform a "vertical line test" to see if a relationship is indeed a function. The vertical line test can be used to determine if a graph accurately depicts a function. If a vertical line is drawn over it and is moved so that it only ever touches it once, the graph is said to be a function. If the vertical line crosses the graph multiple times, it is not a function.To learn more about function, refer to:
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Asking again... Please help! 13/20. Will give brainliest! Spam answers will not be tolerated!
Factor. 7x² ‐ 9x + 2
Answers
Answer:
(7x-2)(x-1) is factored form
Step-by-step explanation:
if you are looking for your zeros in the equation they are
x=2/7
x=1
1. What is the Radius? 2. What is the Circumference? (Round to nearest tenth) 3. What is the measure of central angle CEF?
Answers
6) Which of the following is not a solution to the
inequality 5x + 3y ≥ -3?
Answers
Step-by-step explanation:
5x + 3y ≥ -3
5x ≥ -3
x ≥ -3/5
5x + 3y ≥ -3
3y ≥ -3
y ≥ -3/3
y ≥ -1
Solution
x ≥ -3/5 and y ≥ -1
SOMONE PLEASE HELP ME PLEASE
Answers
Answer:
you would look at the chart and the answer so this would be answered B
Simplify: 3(x + 2 = 5).WILL GIVE BRAINLIEST!!!!
Answers
Answer:
the answer is -1/3
Step-by-step explanation:
A cube has a length of 8 in. What is the width and the height of the cube?
Answers
Answer:
8 in
Step-by-step explanation:
In a cube, the length, width, and height are all the same.
Answer:
8in each
Step-by-step explanation:
A cube has equal sides. Length = 8 in, Width = 8 in and Hight =8 in
Ai Mi goes out to lunch. The bill, before tax and tip, was $16. A sales tax of 6% was added on. Ai Mi tipped 14% on the amount after the sales tax was added. What was the total cost of the meal, plus tax and tip? Round to the nearest cost.
Answers
Answer:
$18.97
Step-by-step explanation:
You want to know Ai Mi's bill if her $16 lunch had 6% tax added, and she tipped 14% on the amount with tax.
TaxAdding tax multiplies the bill by (1 +6%) = 1.06.
TipAdding the tip on the amount with tax multiplies that amount by (1 +14%) = 1.14.
Total costThe total cost of Ai Mi's lunch is ...
($16(1.04))(1.14) ≈ $18.97
The total cost with tax and tip was $18.97.
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A couch was originally priced $500 dollars and on sale for 70% off what is the price for after the discount
Answers
Answer: the answer would be $150
Step-by-step explanation:
Answer:$150.00
Step-by-step explanation:
If you think about a item going down by 70%, it means that you are paying only 30% of the total price.
100%-70%=30%
So 30% of $500 is what you are paying.
30%=30/100=0.3
So you multiply 0.3x500
Which is equal to 150
-8(2x) + 5(2x - 12) + -2(5y - 2) + (-3) (3y)
PLEASE HELPP I NEED IT A S A P WILL MARK BRAINLIESTTTT!!!!!
Answers
Answer:
-6x - 19y - 56Step-by-step explanation:
Simplify:
-8(2x) + 5(2x - 12) + -2(5y - 2) + (-3) (3y) =-16x + 10x - 60 - 10y + 4 - 9y = x(-16 + 10) + y(-10 - 9) + (-60 + 4) = x(-6) + y(-19) + (-56) =-6x - 19y - 56Answer:
−6x−19y−56
Step-by-step explanation:
−8(2x)+5(2x−12)+−2(5y−2)+(−3)(3y)
Multiply −8 and 2 to get −16. Multiply −3 and 3 to get −9.
−16x+5(2x−12)−2(5y−2)−9y
Use the distributive property to multiply 5 by 2x−12.
−16x+10x−60−2(5y−2)−9y
Combine −16x and 10x to get −6x.
−6x−60−2(5y−2)−9y
Use the distributive property to multiply −2 by 5y−2.
−6x−60−10y+4−9y
Add −60 and 4 to get −56.
−6x−56−10y−9y
Combine −10y and −9y to get −19y.
−6x−56−19y
What is the answer to the square root of 694,392,739,681?
Answers
Answer:
√694 = 26.3
√392 = 14√2 = 19.8
√739 = 27.8
√681 = 26.1
Step-by-step explanation:
given the function f(x) = 8x2 -14x - 10, find f(-2)
Answers
Answer:
-32 I think (plz dont be mad at me if this is wrong)
Step-by-step explanation:
Answer:
f(-2) = 50
Step-by-step explanation:
f(x) = 8x^2 - 14x - 10, find f(-2)
Just like how -2 replaced x in f(x), you will replace x with -2 in the equation
f(-2) = 8(-2)^2 - 14(-2) - 10
f(-2) = 8(4) + 28 - 10
f(-2) = 32 + 18
f(-2) = 50
I need help on this question ASAP please
Answers
A) (3,-5)
Go over to the right 3 and down 5
B) (-4,-1)
Go over to the left 4 and down 1
Answer:
A - (3, -5)
B - (-4, -1)
Step-by-step explanation:
A - (3, -5)
B - (-4, -1)
Find the area of a regular octagon with a side length of 12cm.
Answers
Steps:
Shape: Regular octagon
Solved for area
Side length= 12cm
A=2(1+√2)a2
Description:
Using the formula A=2(1+√2)a2 for area and Regular octagon, we calculate the side length that is 12 cm. After you calculate your answer will equal as A≈695.29cm². Since it says to round to the tenth, your answer will equal as 695.3 after rounding.
Answer: A≈695.29cm²
Round to the nearest tenth = 695.3
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Hope this helps.
The age of a father is three times that of his son. In ten year's time their ages will add up to 68 years. If the son is x years old today write down an algebraic expression for: the present age of the father and the son's age in ten year's time and the father's age in 10 year's time.
Answers
Answer:
46 and 22
Step-by-step explanation:
let the father b (f) and d son is (s)
so
f=3s.....(1)
(f+10) +(s+10)=68 .... (2)
substitute f=3s in equation (2)
we have
(3s+10)+(s+10)=68
4s+20=68
4s=68-20
4s=48
s=12 .......(3)
substitute (3) in (1)
f=3*12
which f=36
in 10 year time
f+10 =46
s+10=22
A pharmaceutical company has developed a new drug for people with psoriasis, a skin condition. Researchers would like to estimate the proportion of users who saw improvement in their skin after using the drug. Let p represent the true proportion of users whose skin improved. Which of the following is the smallest number of users the researchers can survey to guarantee a margin of error of 0.05 or less at
the 99% confidence level? (Use p^ = 0.5)
a. 600
b. 650
c. 700
d. 750
Answers
======================================================
Explanation:
At 99% confidence, the z critical value is roughly z = 2.576 which is found using a Z table.
We're given that \(\hat{p} = 0.5\) as the sample proportion and E = 0.05 is the desired error.
The min sample size n is:
\(n = \hat{p}*(1-\hat{p})\left(\frac{z}{E}\right)^2\\\\n \approx 0.5*(1-0.5)\left(\frac{2.576}{0.05}\right)^2\\\\n \approx 663.5776\\\\n \approx 664\\\\\)
Always round up to the nearest integer.
Unfortunately n = 664 isn't one of the answer choices. The next closest value is 700. It appears that your teacher wants to know a valid sample size that is the smallest of the answer choices, not necessarily the smallest ever possible.
solve the equation 2x*2 - 4x = 2
Answers
Answer:
-1/2 or no solution (depends on what the teacher is asking)
Step-by-step explanation:
2x*2 - 4x = 2
combine like terms
-2x*2=2
divide by 2
-2x=1
divide by -2
x= -1/2
Two people are walking along a hill. The first person starts at 4 feet above ground and goes down 3 feet per minute. The second person starts 2 feet below ground and goes up 3 feet per minute. Write and solve a system of equations that represents this situation.
Answers
Answer:
the first person, y=4-3x
the second person, y=2+3x