Answer:
a. The real GDP increases by $200,000.
a. The real GDP increases by $150,000.
Step-by-step explanation:
a. What is the eventual effect on real GDP if the government increases its purchases of goods and services by $50,000?
Eventual effect on real GDP = Amount of increase in government spending * (1 /(1 - MPC)) = $50,000 * (1 / (1 – 0.75)) = $200,000
Therefore, the real GDP increases by $200,000.
a. What is the eventual effect on real GDP if the government, instead of changing its spending, increases transfers by $50,000?
Eventual effect on real GDP = (Amount of increase in government transfers * (1 /(1 - MPC))) - Amount of increase in government transfers = ($50,000 * (1 / (1 – 0.75))) - $50,000 = $150,000
Therefore, the real GDP increases by $150,000.
tina bought some clothes from a high end store that cost 6,719. her friend Betty bought the same quantity of clothes from a low end store that cost 1,282 how much money did Betty saved by buying at the low end store?what is betty total savings when rounded to the nearest thousands?
Answer:
5437
Step-by-step explanation:
Subtract the original amount 6,719 and 1282
you get 5,437
Hope this helps!
Have a nice day! :D
Mark brainliest if possible pls :)
Find the Area of the figure below, composed of a rectangle with a semicircle removed from it. Round to the nearest tenths place.
The required area of the figure is 100.75 units².
What is area?Area of an object shows that how much space it can cover.
Given is figure, made by scooping out a semicircle from a rectangle of length 14 units and width 10 units,
We need to find the area of the figure,
To find the same, we will find the area of whole rectangle and then subtract the area of the semicircle from it,
Area of a rectangle = length × width = 14 × 10 = 140 units²
Area of a semicircle = π × radius² / 2
Here the diameter of the semicircle will be the width of the rectangle,
So,
Diameter = 10
Radius = 5
Area of a semicircle = 3.14 × 25/2 = 39.25 units²
Now,
The area of the figure = 140 - 39.25 = 100.75 units²
Hence, the required area of the figure is 100.75 units².
Learn more about areas, click;
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Can you help<333? If not it’s gine
Answer:
It should 120 students
Step-by-step explanation:
Answer:
120 students
Step-by-step explanation:
4/7×210=120
solve pls brainliest
tell me where the dot go!
Answer:
The first dot is on -9 and the second dot is on -7.
(a) -9 is to the left of -7.
(b) -9<-7
Step-by-step explanation:
Sonya buys a baseball jersey for her brother on sale for 20% off. If the price she paid was $6 lower than the regular price, what was the original price of the jersey?
Answer:
$30
Step-by-step explanation:
20%=6
5x20%=100%
so
5x6=30
Hope this helps! Thanks.
if y=6 when x=40 find x when y=24
Answer:
160
Step-by-step explanation:
24/6=4
4 x 40 = 160
x is 160 when y is 24
Answer:
160
Step-by-step explanation:
Let x be... well x
24 ÷ 6 = 4
40 × 4 = 160
OR
40÷6 ≈6.66
6.6666666... × 24 = 160
A penguin walks 10 feet in 6 seconds at this speed how far does the penguin walk in 45 seconds
Answer: 75 ft
Step-by-step explanation:
45x10 = 450
450/6=75
Answer:
75 feet
Step-by-step explanation:
10 divided by six is 3/2, in 1 second, a penguin walks 3/2 feet. With this logic, in 45 seconds a penguin walks 75 feet since 45 times 3/2 is 75.
Refer to the rectangular prism
Answer:
Properties of a Rectangular Prism : A rectangular prism has 8 vertices, 12 sides and 6 rectangular faces. All the opposite faces of a rectangular prism are equal.
Step-by-step explanation:
Hey can you help me.?
A line that includes the point (16, 15) has a slope of 0. What is its equation in
slope-intercept form?
9514 1404 393
Answer:
y = 0x + 15
Step-by-step explanation:
A line with a slope of 0 is a horizontal line. It has the same y-value everywhere. If it goes through the point (16, 15) with y-coordinate 15, then its y-intercept is 15.
Writing the slope explicitly, the equation is ...
y = 0x +15
Simplified, the equation is
y = 15
a shopkeeper bought six crates of soda at 300 shillings each he was also charged 200 for transport during transportation 44 bottles broke and he sold each of the remaining bottle for 15 sh. if each crate holds 24 bottles what was his percentage loss
Answer: 52,5%
Step-by-step explanation:
For 6 cases of soda, he had to make a profit in the amount of:
6×300=1800 sh
And also taking into account the fact that he was charged with transportation of 200 ; then he made a profit in the amount of:
1800-200=1600sh
Total bottles of soda - 24 × 4= 96 b
He also broke 44 bottles - 96-44=52 b
Then he earned :
52×15=13×4×15=60×13=780 sh
Then he suffered a loss in the amount of :
1600-780 =820 sh
As a percentage
[tex]\dfrac{820}{1600} \cdot 100=\boldsymbol{51,25 \%}[/tex]
Re-write the quadratic function below in Standard Form
y = -(x - 1)^2 + 4
Answer:
2 2 y = a x 2 + b x + c ; a ≠ 0 2
Step-by-step explanation:
The specifications for the dimensions of a new cardboard container are shown. If the volume of the container is modeled by V(h) = 2h^3 - 9h^2 + 4h and it will hold 45 cubic inches of merchandise, what are the containers dimensions?
Solving a cubic equation, it is found that the dimensions of the container are of 1 inch, 9 inches and 5 inches.
The volume of the cubic container is given by the following equation:
[tex]V(h) = 2h^3 - 9h^2 + 4h[/tex]
Since it holds 45 cubic inches of merchandise, we have that [tex]V(h) = 45[/tex], then:
[tex]V(h) = 2h^3 - 9h^2 + 4h[/tex]
[tex]45 = 2h^3 - 9h^2 + 4h[/tex]
[tex]2h^3 - 9h^2 + 4h - 45 = 0[/tex]
Using a cubic equation calculator, the real solution is [tex]h = 5[/tex], thus, the dimensions are:
[tex]h = 5[/tex]
[tex]h - 4 = 5 - 4 = 1[/tex]
[tex]2h - 1 = 2(5) - 1 = 10 - 1 = 9[/tex]
The dimensions of the container are of 1 inch, 9 inches and 5 inches.
A similar problem is given at https://brainly.com/question/16606259
Please explain Nominal Scale of Measurement, Ordinal Scale of Measurement, Interval Scale of Measurement, and Ratio Scale of Measurement in detail and when to use each of them. Thx!
Nominal data, derived from the Latin word 'name,' is just that: a name. Republicans, Democrats, Independents, and so on. You have no idea who or why you're voting for, but you do have a party name, so that's something, right? To make this more quantitative, give each a random number of your choosing (usually small sequential numbers like 1, 2, or 3 but it could be anything). The kinds of statistical analysis you can do with nominal data are severely restricted since the value of the number has no relevance in your environment; it's simply a placeholder.
Ordinal data gives a numerical order to a prior category, such as 'Republican,' although that order does not have to signify anything. Let me explain: suppose you're questioned on a poll to rank your preferred candidate on a scale of 1 to 5. Obviously, a value of '5' is better than a value of '1,' but what does it mean? I'm glad you asked.
Interval data takes ordinal ideas and couples them with schemata that make sense. Using our prior 1-5 scale, for example, 1 degree Fahrenheit is cooler than 5 degrees. Interval data lacks a point of origin, which makes sense when discussing temperatures since 0 degrees Fahrenheit does not indicate a lack of temperature.
Ratio data combines the preceding three ideas and adds a point of origin, or '0' value. The greatest example I could think of was speed. We all realize that 5 mph is quicker than 1 mph, precisely since we all know that 0 mph implies we're not moving at all.
For the following exercises, find dy/dx for each function:
[tex]y= 1 / sin^2(x)[/tex]
Answer:
-2csc^2(x)cot(x)
Step-by-step explanation:
by derivative sin^-2(x)
kyle wishes to purchase a used car that has a cash price of $12,000. the installment terms include a down payment of $3,000 and 48 monthly payments of $224.
what finance charge will kyle pay?
what is the APR to the nearest half percent?
Using simple interest and the information given, it is found that:
The finance charge was of $1,752.The APR was of 0.0365 = 3.65%.The cash price of the car is of $12,000.For they payment, there is a down payment of $3,000, plus 48 payments of $224, hence, the total payment is:
[tex]P = 3000 + 48(224) = 13752[/tex]
The finance charge is the total payment subtracted by the cash price, hence:
[tex]E = 13752 - 12000 = 1752[/tex]
The amount of simple interest accrued after t years, with an APR of r and an initial value of I, is:
[tex]E = Irt[/tex]
For this problem, we have that [tex]E = 1752, I = 12000, t = \frac{48}{12} = 4[/tex], hence:
[tex]E = Irt[/tex]
[tex]1752 = 12000(4)r[/tex]
[tex]r = \frac{1752}{48000}[/tex]
[tex]r = 0.0365[/tex]
The APR was of 0.0365 = 3.65%.
A similar problem is given at https://brainly.com/question/13176347
In the equation 4x² - 16x + 12 = 0, the solution is?
Answer:
x = 3 or x = 1Step-by-step explanation:
[tex] {4x}^{2} - 16x + 12 = 0 \\ {4x}^{2} - 4x - 12x + 12 = 0 \\ 4x(x - 1) - 12(x - 1) = 0 \\ (4x - 12)(x - 1) = 0 \\ [/tex]
(4x - 12) = 0 or (x - 1) = 0
[tex](4x - 12) = 0 \\ 4x - 12 = 0 \\ 4x = 0 + 12 \\ 4x = 12 \\x = \frac{12}{4} \\ x = 3 \\ [/tex]
[tex](x - 1) = 0 \\ x - 1 = 0 \\ x = 0 + 1 \\ x = 1[/tex]
x = 3 or x = 1 should be.
for his
Noah decides to change the design of the tabletop so that it is a rectangle with the same
area as his original tabletop design. How can Noah change his design to a rectangle but
keep the same area?
Choose one option from each drop-down menu to answer the question.
To change his design, Noah can make one vertical cut through the parallelogram to form
Choose...
Then, to make a rectangle, he can match up
Choose..
Noah's original tabletop design
has the same area as a rectangle with a base of Choose...ft and a height of
Choose... v ft.
Answer:
two triangles, the top of one figure with the bottom of the other figure, 8 and 4
Step-by-step explanation:
I am not sure if it's right but I hope it is!
How do you simplify 48/200
Answer:
6/25
Step-by-step explanation:
all you need to do is to look for common factors of both the numerator and the denominator and you keep on breaking it down
Question below
Answer choices
A) Zhen spends 6 1/2 hours working for every hour of the completed audiobook.
B) Zhen completes 6 1/2 audiobooks in an hour
C) Zhen spends 6 1/2 hours working per audiobook
DISCLAIMER I AM IN MIDDLE SCHOOL NOT COLLEGE
for every completed length of audiobook, Zhen spends 6.5 hours working.
C.Zhen spends 6 1/2 hours working per audiobook
Magmatic and English
I don’t really get that sorry I would love to help but don’t know what that mean.
A. 9/35
B. -9/35
C. -3 8/9
D.3 8/9
Answer:
D. 3 8/9Step-by-step explanation:
[tex] \frac{x}{y} \\ x \div y \\ - \frac{7}{9} \div - 0.2 \\ - \frac{7}{9} \times - \frac{1}{0.2} \\ \frac{7}{1.8} \\ \frac{7 \times 10}{1.8 \times 10} \\ \frac{70}{18} \\ \frac{35}{9} \\ = 3 \frac{8}{9} \\ [/tex]
What is the equation of a line that passes through the points (6,-4) and (1,6)
Answer: y = -1/2x + 8
Step-by-step explanation:
Answer: Y=-1/2x+8
Step-by-step explanation:
You have to divide
QUESTION: 3 ÷ 0.05
EMERGENCY: Pls answer
Step-by-step explanation:
=3/0.05
=60ans.
mark me as a brainlist plz.
the answer is 60
You can solve it in calculator
i = $141.60; P = $590; t = 6
years find the rate
Answer:
888888
Step-by-step explanation:
The length of the hypotenuse of a right triangle is one unit more than twice the height. What is the height of the triangle if the base is 8?
The height of the triangle if the base is 8 is 3.96 units
Given the following parameters
Base of a triangle = 8 units
Let the hypotenuse be "c"
Let the height be "h"
If the length of the hypotenuse of a right triangle is one unit more than twice the height, then;
c = 2h + 1
According to the Pythagoras theorem:
c² = b² + h²
(2h + 1)² = 8² + h²
Expand
4h²+4h+1 = 64 + h²
4h²-h² + 4h + 1 - 64 = 0
3h² + 4h - 63 = 0
Factorize the result
On factorizing, the value of the height is 2
h = [tex]\frac{-2}{3}+\frac{\sqrt{193} }3\\[/tex]
h = 11.89/3
h = 3.96 units
Hence the height of the triangle if the base is 8 is 3.96 units
Learn more here: https://brainly.com/question/20545047
WHat is the solution of x^2 + x-6 / x-7 < 0
Answer:
x≤-3 or 2≤x∠7
Step-by-step explanation:
It would be the first answer on the paper
Answer:
A
Step-by-step explanation:
[tex]\frac{x^2+x-6}{x-7} \leq 0\\[/tex]
hence numerator and denominator are of opposite sign.
case1 .
let x²+x-6≥ 0
and x-7<0
x²+x≥6
x²+x+1/4≥6+1/4
(x+1/2)²≥25/4
(x+1/2)²≥(5/2)²
|x+1/2|≥5/2
x+1/2≥5/2
x≥5/2-1/2
x≥2
or
x+1/2≤-5/2
x≤-5/2-1/2
x≤-3
also x-7<0
x<7
combining
x≤-3 or 2≤x<7
case 2.
x²+x-6<0
and x-7≥0
x²+x<6
x²+x+1/4<6+1/4
(x+1/2)²<25/4
|x+1/2|<5/2
so -5/2 <x+1/2<5/2
-5/2-1/2<x<5/2-1/2
-3<x<2
also x-7≥0
so x≥7
combining
we get no vlaue satisfying both the values.
Hence rejected.
Graph the line that passes through the points (-3, -5)(−3,−5) and (-6, -3)(−6,−3) and determine the equation of the line.
the sum of 2 numbers which are in a ratio 2:5 is 21 what are the numbers
Ratio = 2 : 5
Numbers = 2x & 5x
[tex]2x + 5x = 21 \\ 7x = 21 \\ x = 21 \div 7 \\ x = 3[/tex]
Numbers :-
2x = 2 × 3 = 6
5x = 5 × 3 = 15.
The numbers are 6 & 15.
Which expression is equivalent to -6(-2/3+2x)
Answer:
4−12x
Step-by-step explanation: