Answer:
(a) GDP = $333.9 billion
(b) NDP = $322.1 billion
(c) NI = $307.7 billion
Step-by-step explanation:
(a) Compute GDP
This can be computed using the following formula:
GDP = Gross Domestic Product = Personal consumption expenditure + net private domestic investment + government purchases + (US exports of goods - US Imports of goods) ......... (1)
Substituting the values into equation (1), we have:
GDP = $219.1 + $52.1 + $59.4 + ($19.8 - $16.5) = $333.9
Since all figures are in billions, we have:
GDP = $333.9 billion
(b) Compute NDP
This can be computed using the following formula:
NDP = Net domestic product = GDP - Consumption of fixed capital ................... (2)
Substituting the values into equation (2), we have:
NDP = $333.90 - $11.8 = $322.1
Since all figures are in billions, we have:
NDP = $322.1 billion
(c) Compute NI
This can be computed using the following formula:
NI = National Income = NDP - Taxes on production and imports - Statistical discrepancy ........... (3)
Substituting the relevant values into equation (3), we have:
NI = $322.1 - $14.4 - $0.0 = $307.7
Since all figures are in billions, we have:
NI = $307.7 billion
Choose the polynomial that is described. A trinomial in one variable of degree 3.a. 4r2-9t+7b. 3r2+4t-9 c. 4r3 d. 4r3 -9t +7
Answer:
C. 4r³
Step-by-step explanation
A trinomial is an expression having three terms. A polynomial with degree 3 that which its leading variable has a power of 3. For example an example of such polynomial in one variable is expressed as 2x³+4x²-7. This equation has 3 terms and the leading variable has a power of 3 with only x as the variable
From the given options based on the explanation, the correct answer will be 4r³. This can also be written as a trinomial as 4r³+0r²+0r
The rest contains more than one variable.
There is no trinomial.
A trinomial is a polynomial with three nonzero terms
Here we have to find trinomial in one variable of degree 3 .
Since in given four options a , b , d have equations in two variables and c have only one term so there is no trinomial.
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5/7(d+20)= -10
What is d?
Answer:
-34
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
What is the range of the graph?
Remember: Range is y!
Answer:
Range = 1 ≤ y ≤ 5
Step-by-step explanation:
The range of the graph is all possible y-values that is plotted in the graph.
The range includes y-values include y = 1, and y-values that fall between y = 1 and y = 5, 5 inclusive.
Range = 1 ≤ y ≤ 5
The Rodriguez Family is starting to save 15% of their income per month for college savings for their children. They earn $8,540 per month. How much will the Rodriguez family save each month for future college expenses?
Answer:
1,281
Step-by-step explanation:
please help asap no trolls!
Answer:
Angle S
Step-by-step explanation:
The angle is always proportional to the opposite side. Angle opposite to the longest side has the largest angle so since Side RT is the shortest side, the angle opposite to it (or whatever the correct term is) would be Angle S.
help me on this pls
Which fraction is NOT equivalent to the point shown on the number line?
Answer:
10/12
Step-by-step explanation:
10/12 is not a multiple or a factor of 3/5
a teacher guessed 30 students would ask for help. However, there were actually 35 students who came to get help. What was her percent of error? Round to the nearest whole percent.
Answer:13%
Step-by-step explanation:
Lets call the Teacher Mrs.Lukens and we put the number into a calculator and subtract 35-13% you have it but as it was a guess you will never know.
Lucas opened a savings account 20 years ago with a deposit of $3,815.24. The account has an interest rate of 3.3% compounded
quarterly. How much interest has Lucas earned?
a. $3,488.21
b. $3,546.50
c. $3,815.24
d. $3,941.14
Answer:
Interest earned = $3546.50
Option B is correct option.
Step-by-step explanation:
Time t = 20 years
Principal Amount P =$3815.24
Interest r = 3.3% or 0.033
Compounded quarterly n = 4
We need to find How much interest has Lucas earned?
First we need to find the future value in the account after 20 years
The formula used to find future value A is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values of t, r , n and P to find A i.e future value
[tex]A=P(1+\frac{r}{n})^{nt}\\A=3815.24(1+\frac{0.033}{4})^{20*4} \\Simplifying:\\A=3815.24(1+0.00825)^{20*4} \\A=3815.24(1.00825)^{80}\\A=3815.24(1.929)\\A= 7361.74[/tex]
Now finding interest amount by subtracting the initial deposit from the future value
Interest earned = Future Value (A)- Initial Deposit (P)
Interest earned = 7,361.74 - 3815.24
Interest earned = 3546.50
So, Lucas have earned interest = $3546.50
Option B is correct option.
3.0450 x 10^4 as an ordinary number
Answer:
30450 is the answer.
Step-by-step explanation:
Given number is [tex]3.0450 \times 10^4[/tex].
We need to write it as an ordinate number.
It is 3.0450 times 10 to the power 4.
It would mean that,
[tex]3.0450 \times 10^4=3.0450 \times 10000\\\\=\dfrac{3.0450 }{10000}\times 10000\\\\=30450[/tex]
Hence, the required answer is 30450.
Which expression is equivalent to 2x^3y(x^2y - 3xy^2)?
F. 2x⁵y² - 6x⁴y³
That is the answer.
By means of distribution.
Help Me With This Plz?
Answer: #1 Answer is D
Step-by-step explanation: Welcome!
Can I get Brainliest?
A bucket holds 4 liters of water. If a ladle can scoop out 14 of a liter, how many scoops will it take to empty the bucket?
Step-by-step explanation:
the ladle should scoop out 56 scoops to empty the bucket because if one scoop equals 1/14, there are 14 scoops per liter, and 4 liters, so 4 times 14 equals 56
The ladle should scoop out 56 scoops to empty the bucket
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity
Given,
A bucket holds 4 liters of water.
If a ladle can scoop out 14 of a liter We need to find how many scoops will it take to empty the bucket
We know that one scoop equals 1/14 liters
1 scoop=1/14 litres
1 litre=14 scoops
As there are 4 litres
We have to multiply 14 with four to find the number of scoops to take to make the bucket empty.
14×4
56
Hence, the ladle should scoop out 56 scoops to empty the bucket
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-28 = -7(3x +4) + 21x
I think its 1
Step-by-step explanation:
if it ain't my bad
Nick has a box of ornaments that
he uses to decorate his tree each year.
All of them are blue, except for six.
All of them are green, except for six.
All of them are red, except for six.
How many of each colored ornament
does Nick have?
After going through the statement in the question, the number of each colored ornament Nick have is 3.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.
Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
There are three colors.
We can infer that there are 3 ornaments of each color because there are 6 ornaments for each of the other two colors.
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If the point (8,-5) is 6 units above the point P(x, y) and 3 units to the right of it, then what are the coordinates of
the point P(x, y)?
Answer:
(5, -11)
Step-by-step explanation:
We know that (8, -5) is 6 units above and 3 units to the right of point P. Knowing this, let's work backwards by starting from (8,-5) and counting 6 units down and 3 units to the left on the graph.
If you counted correctly, this should place you at the (5, -11). (You can also check your work by counting 6 units up and 3 units to the right from (5, -11) and seeing if you end up at (8, -5).)
Which statement best describes the function below?
f(x)= x3 - X2-9x+9
O A. It is not a function.
OB. It fails the vertical line test.
O C. It is a one-to-one function.
O D. It is a many-to-one function.
pls help!!
Answer:
D. It is a many-to-one functionStep-by-step explanation:
One-to-one if every y value has exactly one x value mapped onto itMany-to-one if there are y values that have more than one x value mapped onto them.We have a function that is of degree 3, so it has 3 x-intercepts which means there are points (x₁, 0), (x₂, 0), (x₃, 0), so it is a many-to-one function
Correct option is D
In Exercises 15-18, find the coordinates of the centroid of the triangle with the given vertices. (See Example 2.) 15. A(2,3), B(8,1), C(5,7)
9514 1404 393
Answer:
(5, 3 2/3)
Step-by-step explanation:
The centroid coordinates are the average of the vertex coordinates.
(A+B+C)/3 = ((2, 3) +(8, 1) +(5, 7))/3 = (2+8+5, 3+1+7)/3 = (15, 11)/3
The centroid is (5, 3 2/3).
_____
The graph shows the intersection of the medians. It is the centroid, (5, 3 2/3), as we calculated.
f(x) = 2. What is g(x)?
А. g(x) = х2 +4
В. g(x) = -4х2
ОООО
Ос. g(x) = х2 - 4
D. g(x) =-x2 - 4
Answer:
D an upside down smiley means the slope is negative. which means either b or d. then sub x = 0, if y is -4 from the graph you get the answer
A hospital wants to survey religious participants in their city about what they seek from a hospital chaplain, so
they randomly select 5 religious meetings in the city and survey every participant in those meetings.
What type of sample is this?
Using sampling concepts, it is found that this is an example of cluster sampling.
Samples may be classified as:
Convenient: Drawn from a conveniently available pool. Random: All the options into a hat and drawn some of them. Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed. Stratified: Also divides the population into groups. However, only some elements of each group are surveyed.In this problem, each religious meeting is a group, and all participants are surveyed, hence, we have an example of cluster sampling.
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1600 to the nearest hundred
Answer:
1600
Step-by-step explanation:
it is already rounded
Please look at picture
Answer:
32%
The probability according to these results is 32% because 25 people ordered a cold drink. 8 of those were smalls. 8 divided by 25 is 0.32 which is the percentage of a 100% chance aka 32%
Max has 5 apples he gives away 2 How many apples does he have left
Suppose the system below is consistent for all possible values of f and g. What can you say about the coefficients c and d? Justify your answer. x1 + 3x2 = f cx1 + dx2 = g
Answer:
The answer is "[tex]d \neq 3c,[/tex]f and g are arbitrary".
Step-by-step explanation:
The matrix of the device is increased
[tex]\left[\begin{array}{ccc}1&3&f\\ c&d&g\\ \end{array}\right][/tex]
Reduce the echelon row matrix
[tex]\left[\begin{array}{ccc}1&3&f\\ c&d&g\\ \end{array}\right] \\\\R_1 \leftrightarrow R_2 \\\\\frac{R_2 -1}{C R_1 \to R_2} \sim \left[\begin{array}{ccc} c&d&g\\ 0 & \frac{3c-d}{c}& \frac{cf-g}{c}\\ \end{array}\right][/tex]
Therefore, if 3c[tex]\neq[/tex] 0 is d [tex]\neq[/tex] 3c, the device is valid. Therefore d [tex]\neq[/tex] are arbitrary 3c, g and f.
The values of the coefficients c and d are 1 and 3, respectively
The system of equations are given as:
[tex]x_1 + 3x_2 = f[/tex]
[tex]cx_1 + dx_2 = g[/tex]
From the question, we understand that the system of equations is consistent.
Assume that the system of equations is also dependent, then it means that:
[tex]c =1[/tex]
[tex]d =3[/tex]
[tex]g =f[/tex]
Hence, the values of the coefficients c and d are 1 and 3, respectively
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(-8/5)(2/3)(-4) as a fraction.
Answer:
9
1600
Step-by-step explanation:
i know
Which set of numbers includes only integers?
A Venn diagram. A large box is labeled rational numbers. A box inside the rational numbers box is labeled integers. A box inside the integers box is labeled whole numbers.
Negative 5, negative 3 and one-fourth, 1, one-eighth
Negative 3, negative 2, 2, 3
Negative 6, negative 4, negative 2, negative one-half
One-half, two-thirds, StartFraction 6 Over 7 EndFraction, 0
Answer:
negative 6, negative 4, negative 2, negative one half
Answer:
C
Step-by-step explanation:
Find the distance between the two points in simplest radical form.
(-9,8) and (-3, -1)
Answer:
The distance between (-9, 8) and (-3, -1) will be:
[tex]\:d=3\sqrt{13}[/tex] units
Step-by-step explanation:
Given the points
(-9, 8)(-3, -1)Finding the distance between (-9, 8) and (-3, -1)
[tex]d\:=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(-3-\left(-9\right)\right)^2+\left(-1-8\right)^2}[/tex]
[tex]=\sqrt{\left(-3+9\right)^2+\left(-1-8\right)^2}[/tex]
[tex]=\sqrt{36+81}[/tex]
[tex]=\sqrt{117}[/tex]
[tex]=3\sqrt{13}[/tex] units
Therefore, the distance between (-9, 8) and (-3, -1) will be:
[tex]\:d=3\sqrt{13}[/tex] units
Will mark the brainliest
Answer:
B. [tex] 60x^8 [/tex]
Step-by-step explanation:
[tex] 4x^2\sqrt{5x^4} \cdot 3\sqrt{5x^8} = [/tex]
[tex] = 4x^2 \times 3 \sqrt{5x^4 \times 5x^8} [/tex]
[tex] = 12x^2 \sqrt{25x^{4+8}} [/tex]
[tex] = 12x^2 \sqrt{25} \sqrt{x^{12}} [/tex]
[tex] = 12x^2 \times 5 \times x^6 [/tex]
[tex] = 60x^8 [/tex]
There are two question please help.
7- 7x + 8 (x + 1/4 *fraction*) = 3(6x -9) - 8
8- -4x - 2(8x + 1)= -(-2x -10)
There is NO choices...Please help!!!
PLEASE ANSWER ALL QUESTIONS WILL GIVE BRAINLY!!!!!
SHOW YOUR WORK PLS
1.
2 ^ 4 = 16
16 × 6 = 96
96 + 7 = 103
2.
3 + 4 = 7
8 × 7 = 56
12 ^ 2 = 144
56 + 144 = 200
3.
14 - 6 = 8
8 ^ 2 = 64
64 × 6 = 384
4.
150 ÷ 5 = 30
30 × 6 = 180
180 + 8 = 188
hope this helps :))