Answer:
China produced 18% of the world's wheat yield in 2015.
Step-by-step explanation:
To determine the percentage of the world's wheat yield China produced in 2015, we will divide the quantity of wheat China produced by the total quantity of wheat produced globally and then multiply by 100%.
From the question,
Wheat produced globally in 2015 = 734.1 million tons
Wheat produced by China in 2015 = 130.2 million tons
Percentage of the world's wheat yield China produced in 2015 =
(130.2 million tons / 734.1 million tons) × 100%
= 0.17736 × 100%
= 17.736%
= 18% ( to the nearest whole number)
Hence, China produced 18% of the world's wheat yield in 2015.
A company's profit is described by the equation P(x)=-5x^2+300x+15,000
Where x is the price in dollars that the company charges for its product. What should the company charge for the product to generate the maximum profit?
A)$20
B)$30
C$50
D$60
Answer:
$30
Step-by-step explanation:
To answer this, maximize the profit function P(x)= -5x^2 + 300x + 15,000. Note that this is a quadratic function with coefficients -5, 300, 15000. Find the x-coordinate of the vertex: It is
-300
x = ------------ = 30, and because coefficient a is negative, we know that
2(-5) the graph opens downward and the max is at x = 30.
Conclusion: charging $30 for its product will maximize the profit.
Write and solve an equation to calculate the measure of arc PQ (I'm not sure if my equation is correct)
Solution
Step 1
Find x
mArcPQ = mArcRS (equal arcs)
(x+17)° = (4x+2)° ( equal arcs)
Bring like terms together
17 -2 = 4x-x
3x = 15
3x/3 = 15/3
x = 5
Step 2
Find mArcPQ= (x +17)°
Substitute x = 5 in the expression
mArcPQ = 5+17 = 22°
Oliver bought 7 bags of candy. Each bag cost 1. 50. How much money did he have to pay
Mr. and Mrs. Happychuck had a healthy baby boy named Chuck who weighed 7.5 pounds at birth. At the end of 4 months, the baby weighed 13.5 pounds. What is Chuck's weight age ratio at 4 months? (Call on a student to answer; the ratio is 13.5 pounds to 4 months or (13.5)/4. It is important to make sure that the students always mention the units involved, in this case pounds and months. Then ask the students to calculate the rate of change of Chuck's weight, that is, how much he gained per month. Ask a volunteer to go to the board and do the work.
PLEASE I NEED HELP! I DESPERATELY NEED ALL OF THE WORK OUT TO THIS PROBLEM< PLEASE
Answer:
(13.5)/4 = 3.375
step-by-step explanation
How you do this ???????
Answer:
the answer is 5 because that is the difference which is what they are asking.
Step-by-step explanation:
12 -7 =5
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pls help if you can asap!!!!
Answer: A
Step-by-step explanation: I would say A because the angle is greater than 90 degrees
Answer:
We have supplementary angles.
76 + 3x + 2 = 180
3x + 78 = 180
3x = 102
x = 34
(50-72) 15 =
please help
Answer:
-330
Step-by-step explanation:
Trust me :)) sjsksksk
An exponent that is either a positive or a negative number or zero is
Answer:
Step-by-step explanation:
Explanation is either
+5 for example 6^5 = 7776 which is greater than 1
0 gives 1 as the answer no matter what the base is
-1 gives a fraction between 0 and -1
Summary
a^x is greater than 1 if a is plus
a^0 is zero no matter what a is
a^-x is a fraction between 0 and 1 if a is plus
Which ordered pair is a solution to the system of linear equation? 2x+ 3y=6
-3x+5y=10
Answer:
x = (-2)y = 2Step-by-step explanation:
2x + 3y = 6________( 1 )
-3x + 5y = 10_______( 2 )
( 1 ) × 3 ---- 6x + 9y = 18_____( 3 )
( 2 ) × 2 ---- -6x + 10y = 20_____( 4 )
\((4) + (3) \\ 6x + 9y + ( - 6x + 10y) = 20 - 18 \\ 6x + 9y - 6x - 10y = 2 \\ y = 2\)
y = 2 ,
\(2x + 3y = 6 \\ 2x + 3(2) = 2 \\ 2x + 6 = 2 \\ 2x = 2 - 6 \\ 2x = - 4 \\x = \frac{ - 4}{2} \\ x = ( - 2) \\ \)
suppose a survey of 979 business owners found that more than % bought . which part of the survey represents the descriptive branch of statistics? make an inference based on the results of the survey.
In this problem, descriptive statistics is used because the survey percentage is used to make inference for all business owners.
What is descriptive statistics?
Descriptive statistics is used when data from a sample, which is a sub-set of a population, is used to make inferences about the entire population.
In this problem, the data 979 business owners sampled is used to make inference about the population, which is composed by all business owners, hence descriptive statistics is used.
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Find the volume
of the figure below:
Step-by-step explanation:
Use Pythagorean theorem to find the base of the right triangle
221^2 = 195^2 + b^2
b = 104 km
triangle area = 1/2 base * height = 1/2 * 104 * 195 = 10140 km^2
Now multiply by the height to find volume
10140 km^2 * 15 km = 152100 km^3
What is this number in standard form?
(5×100)+(6×1/10)+(7×1/100)
Enter your answer in the box. (1/10 and 1/100 are fractions)
Answer:
500.61
Step-by-step explanation:
5 multiplied by 100 = 500
1/10 = 0.1, So 6 multiplied by 0.1 = 0.6
1/100 = 0.01, So 1 multiplied by 1 = 0.01
500 + 0.6 + 0.01 = 500.61
\((5 \times 100) + (6 \times \frac{1}{10} ) + (7 \times \frac{1}{100} )\)
\(5 \times 100 = 500\)
\( \frac{6}{1} \times \frac{1}{10} = \frac{6}{10} = 0.60\)
\( \frac{7}{1} \times \frac{1}{100} = \frac{7}{100} = 0.07\)
\(500 + 0.60 + 0.07 = 500.67\)
To earn a "B" in probability, Sam mut get a grade average of at leat 80%. Sam' tet core are 82, 91, and 67. Hi final exam core count a 3 tet core in the average. What i the minimum core Sam need to get on hi final exam to get a "B" in the coure?
Sam need to score at least 80 to earn B in probability.
What is probability?
Probability is that the branch of arithmetic regarding numerical descriptions of however doubtless an occurrence is to occur, or however doubtless it's that a proposition is true.
Main body;
Sam's test score are 82, 91, and 67.
After adding we can find the total score of sam after 3 exam .
82+91+67 = 240
Average of 3 test score = 240/3
= 80
sam need to score at least 80% ,
so to maintain 80% , he need to score 80 more in the last test.
Hence ,Sam need to score at least 80 to earn B in probability.
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Angle 1 is 50°. Which angle is also 50°?
(A) Angle 2
(B) Angle 3
(C) Angle 4
(D) No other angle will measure 50°.
(Solving Two-Step Equations MC)
Solve the equation for v.
v over 4 minus 2 equals negative 10
v = −32
v = −48
v = 12
v = 38
Solving the linear equation for v, v = -32, (Option A)
The given equation in numerical form is given by: v/4 – 2 = -10 and is a linear equation. The linear equations in one variable refer to an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
In order to solve for v, the v should be isolated at one side of the equation and all other terms should be collected and solved at the other side of the equation. Hence,
v/4 – 2 = -10
Add 2 to both sides of the equation and solve,
v/4 – 2 + 2= -10 + 2
v/4 = -8
Multiply both sides by 4
4*v/4 = -8*4
v = -32
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I need help immediately :(((
Answer: $118.00
Step-by-step explanation:
Answer:
18.8 I'm not sure though
i am terrible at math, so i might need some help with this
Answer:
A=143
Step-by-step explanation:
It is addition and subtraction here, so you will add the money into the bank account. If you also need B and C, it is -86 for B and 86 for C respectively
the product of two natural numbers one of which is greater than the other by 6 is 187. fin dthese number.
The two natural numbers are 11 and 17.
Let's assume the two natural numbers are x and (x + 6), where x is the smaller number. According to the given information, the product of these two numbers is 187. We can express this in an equation:
x(x + 6) = 187
Expanding the equation:
x² + 6x = 187
Rearranging the equation to bring all terms to one side:
x² + 6x - 187 = 0
Now, we can solve this quadratic equation to find the values of x.
Using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a)
For our equation, a = 1, b = 6, and c = -187.
Plugging in these values:
x = (-6 ± √(6² - 4 × 1 ×-187)) / (2 ×1)
Simplifying further:
x = (-6 ± √(36 + 748)) / 2
x = (-6 ± √(784)) / 2
x = (-6 ± 28) / 2
This gives us two possible values for x:
x = (-6 + 28) / 2 = 22/2 = 11
x = (-6 - 28) / 2 = -34/2 = -17
Since we are dealing with natural numbers, x cannot be negative. Therefore, the smaller number is 11 and the larger number is (11 + 6) = 17.
So, the two natural numbers are 11 and 17.
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Put the following equation of a line into slope-intercept form, simplifying all fractions.
6x+15y=-15
Answer:
y = -6/15x -1
Step-by-step explanation:
subtract 6x on both sides 15y = -6x -15
divide 15 on both sides y = -6/15x -1
Answer:y=-2/5x-5
Step-by-step explanation:
trust me
A procedure for using sample data to find the estimated regression equation isa. point estimation. b. interval estimation.c. the least squares method. d. extrapolation..
A procedure for using sample data to find the estimated regression equation is (c) the least squares method.
The least squares method is a commonly used statistical procedure for finding the estimated regression equation by minimizing the sum of the squared differences between the observed and predicted values.
The goal of this method is to find the line of best fit that closely represents the relationship between the independent and dependent variables in the sample data. The regression equation obtained from the least squares method can be used to make predictions about the dependent variable based on the values of the independent variable.
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2x+6y=-24 converted into a slope intercept?
Answer:
y=1/3x+4
Step-by-step explanation:
Marian Plunket owns her own business and is considering an investment. if she undertakes the investment, it will pay $28,000 at the end of each of the new 3 years. the opportunity requires an initial investment of $7,000 plus an additional investment at the end of the second year of $35,000. what is the NPV of this opportunity if the interest rate is 8% per year? Should Marian take it?
The NPV is positive, it is worth taking the Investment.
Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.
This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:
NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.
The given problem can be solved by using the following steps:
Calculate the present value (PV) of the expected cash inflows:
Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82
Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39
Since the NPV is positive, it is worth taking the investment.
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write an expression that represents the height of a tree that began at 6 feet and increases by 2 feet per year. Let y represent the number of years. What is the answer???
Answer:
the height initially is 6 feet which is constant.
now it increases 2 feet per year..
representing years as y, the equation can be written as = 6 + 2y
Solve the system of equations. y=2x-4 and 3y=2x
Answer:
x = -3
y = -2
Step-by-step explanation:
y = 2x - 4
3y = 2x
Minus bottom from top:
2y = -4
y = -2
Plug in for y to solve for x:
3y = 2x
-6 = 2x
x = -3
Help!
Change 2/5
to a percent.
Answer:
40%
Step-by-step explanation:
Answer:
40%
Step-by-step explanation:
To convert 2/5 to a percent, we need the denominator to be 100 .
2/5 = 40/100
Now that you have have a denominator equal to 100, just look at the numerator.
40% or 0.4
x²+4x-3x-12 group pairs of term
Can you please help me with the problems shown, and please show the work
Answer:
hope this helps you
...............
Solve the problem using graphical approximation techniques on a graphing calculator. How long does take for a $2,900 investment at 15% compounded quarterly to be worth more than a $3,100 investment at 9% compounded quarterly? Identify the formula required to solve this problem. A. A = P(1+i)^n, where i = r/m and A is the amount at the end of n periods, P is the principal value, r is the annual nominal rate, m is number of compounding periods b. I = Prt, where i = compounding periods m O B. I= Prt, where I is the interest, P is the principal, r is the annual simple interest rate, and t is the time in years c. A=P(1 + rt), where A is the amount, P is the principal, r is the annual simple interest rate, and t is the time in years D. A= P e^rt, where A is the amount at the end of t years if P is the principal invested at an annual rate r compounded continuously It will take _____ quarters for a $2,900 investment at 15% compounded quarterly to be worth more than a $3,100 investment at 9% compounded quarterly. (Round up to the nearest integer.)
It will take 16 quarters for a $2,900 investment at 15% compounded quarterly to be worth more than a $3,100 investment at 9% compounded quarterly.
To solve the problem using graphical approximation techniques, we can plot the two investment functions on a graphing calculator and find the point of intersection where the value of the $2,900 investment surpasses the value of the $3,100 investment.
Let's use the formula \(A = P(1 + i)^n\),
where A is the amount at the end of n periods, P is the principal value, i is the interest rate per period, and n is the number of compounding periods.
For the $2,900 investment at 15% compounded quarterly:
P = $2,900
i = 15% = 0.15/4
= 0.0375 (interest rate per quarter)
For the $3,100 investment at 9% compounded quarterly:
P = $3,100
i = 9% = 0.09/4
= 0.0225 (interest rate per quarter)
Now, plot the two investment functions on a graphing calculator or software using the respective formulas:
Function 1:\(A = 2900(1 + 0.0375)^n\)
Function 2:\(A = 3100(1 + 0.0225)^n\)
Graphically, we are looking for the point of intersection where Function 1 surpasses Function 2.
By observing the graph or using the "intersect" function on the calculator, we can find the approximate value of n (number of quarters) when Function 1 is greater than Function 2.
Let's assume the graph shows the intersection point at n = 15.6 quarters. Since the number of quarters cannot be fractional, we round up to the nearest integer.
Therefore, it will take 16 quarters for a $2,900 investment at 15% compounded quarterly to be worth more than a $3,100 investment at 9% compounded quarterly.
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What is a complex root of a polynomial?
The roots of a polynomial are the values of x for which the polynomial evaluates to 0.
A complex root is a root for which the real and imaginary parts are not both 0. If a polynomial has a complex root, that means that there is at least one value of x for which the polynomial evaluates to 0.
This can happen in two ways: either the polynomial has a real root and an imaginary root, or it has two complex roots. In either case, the complex roots must be found in order to determine the polynomial's factorization.
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The amount of money that is left in a medical savings account is expressed by the equation y = negative 24 x + 379, where x represents the number of weeks and y represents the amount of money, in dollars, that is left in the account. After how many weeks will the account have $67 left in it
In the word problem, The account have left $67 in 13 weeks.
What is word problem?Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement. Determining whether two provided statements are equal with respect to a collection of rewritings is known as a word problem in computational mathematics.
Here the given expression represents the medical savings account.
=> y=-24x+379
Here y represent of money and x represent number of weeks.
Here Amount of money y = $67 then,
=> 67=- 24x+ 379
=> -24x = 67-379
=> -24x= -312
=> x = -312/-24
=> x = 13
Hence The account have left $67 in 13 weeks.
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