If the central bank increases the money supply by $100 billion and the velocity of money by 3, then the nominal GDP will increase by $300 billion.
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The value of nominal GDP, when the central bank increases the money supply by $100 billion, and the velocity of money is 3, is 300.
What is the equation of exchange?
The equation of exchange can be given as,
[tex]M\times V=P\times Q[/tex]
Here, (M) is the money supplied, (V) is the velocity of the money, (P) is level of price and (Q) is Real GDP.
The central bank increases the money supply by $100 billion, and the velocity of money is 3. Here, we have,
[tex]M=300\\V=3[/tex]
The product of level of price and Real GDP is nominal GDP.
[tex]M\times V=P\times Q\\100\times 3=\text{Nominal GDP}\\\text{Nominal GDP}=300[/tex]
Thus, the value of nominal GDP, when the central bank increases the money supply by $100 billion, and the velocity of money is 3, is 300.
Learn more about the nominal GDP here;
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what is solution to 8x=2/3
there should be a cross multiplication
3(8x)=2
expanding bracket
24x=2
multiple both sides by 24
x=1/12
15) Suzanne bought 3 quarts of orange juice, 4 quarts of apple juice, and 5 quarts of
water at the store. How many gallons of liquid did she buy?
Answer:
3 liquid gallons
Step-by-step explanation:
3 + 4 + 5 = 12
12 ÷ 4 = 3 liquid gallons
This angle cuts out 1/4 of the circle. Find the measure of the angle.
Answer:
90 degrees
Step-by-step explanation:
Select the most accurate statement regarding the normal distribution. Group of answer choices It is always the appropriate distribution in simulation modeling. It does not permit negative values. There is a 95% chance that values will be within ±2 standard deviations of the mean. The user must specify the maximum positive value allowed. It is obtained by the positive and negative square roots of a uniform random variable.
Answer:
There is a 95% chance that values will be within ±2 standard deviations of the mean.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this question:
According to the empirical rule, 95% of the measures are within 2 standard deviations of the mean. So the correct statement is:
There is a 95% chance that values will be within ±2 standard deviations of the mean.
85% of x is 51. Write an equation that represents the situation.
Answer:
85/100*x=51
Step-by-step explanation:
85x=5100
What is the correct equation for this phrase?
Nine less than twice a number.
Answer:
[tex]2k - 9[/tex]
Step-by-step explanation:
jsjsjsjsjjsjsksksksksksksksksksjskkwjwjwjwkw
Determine if the triangle is a right triangle.
Answer:
Yes, this is a right triangle
Step-by-step explanation:
a² + b² = c²
65² + 72² = 97²
4225 + 5184 = 9409
9409 = 9409
Since the hypotenuse equals the 2 legs, it's a right triangle
Find the surface area of the prism. 3m, 4m, 8m,5m
Step-by-step explanation:
480 is the answer // provide picture for better answer
What is the answer please help no links I will report
Answer:
6
Step-by-step explanation:
because its the middle number
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Find the volume of each right rectangular prism
Answer:
7: 7.75 8: 6.98
Step-by-step explanation:
At a school carnival, 51 out of 68 tickets sold were early-admission tickets. What percentage of the tickets were early-admission tickets?
Answer:
75% of the tickets sold were early-admission
Simplily divide 51/68
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Please find the areas of these shape
BRAINLIEST!!! find the probability for numbers 11 and 13 please
Answer: probability of 11 = 5.56% probability of 13 = 52
Step-by-step explanation:
A class consists of 1/2 freshmen, 1/8 sophomores, and 1/8 juniors; the rest are seniors. What fraction of the class is seniors?
Answer:
2/8 are seniors
Step-by-step explanation:
one half = 4/8
4/8 + 1/8 + 1/8 = 6/8.
What's left is 2/8
1. Write an integer that can
represent 200 years ago?
Write 2.83 as a mixed number and as an improper fraction.
Do not try to simplify your answers.
Answer:
Mixed number: [tex]2\frac{83}{100}[/tex]
Improper Fraction: [tex]\frac{283}{100}[/tex]
Answer:
[tex]\frac{238}{100}\\\\2\frac{38}{100}[/tex]
Step-by-step explanation:
2.83/1
To make this a normal fraction, the top has to be a whole number, so we can multiply the top and bottom by 100 to slide the decimal point twice.
238/100
This can be shown as a mixed number by removing the 200 which is divisible by 100
[tex]2 \frac{38}{100}[/tex]
Note: The reason the question says not to simplify is because 283 is a prime and cannot be simplified
The sales rate is 8%. If Janelle buys a gymnastics mat priced at $87 , how much tax will she pay?
Answer: $6.96
Step-by-step explanation:
To find out what 8% of $87 is, you have to convert the 8% into decimal form which is 0.08. Then you have to multiply that by $87
87*0.08 = 6.96
Now, we know $6.96 is 8% of $87 which is how much she will be paying in tax
A walking path 78 mile long Colleen planted 14 bushes the same distance apart along the path how far power are the 1st 2 bushes along the path
Answer:
The bushes will be located 6 meters apart from each other.
Step-by-step explanation:
Given that at a walking path 78 mile long Colleen planted 14 bushes the same distance apart along the path, to determine how far away are the 1st 2 bushes along the path, the following calculation must be performed:
78/13 = X
6 = X
Thus, since the first bush is at meter 0, the remaining 13 bushes will be located 6 meters apart.
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What is the volume of the cylinder below? write your answer in terms of pie.
Height= 11.5 cm
Radius= 6 cm
Answer:
414π
Step-by-step explanation:
Volume of a cylinder = area of circle/ cross-section x height
Area of cross-section = πr² = 6²π = 36π
36π x 11.5 = 414π
Answer:
1300.61936 cm
Step-by-step explanation:
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⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️HELP HELP HELP HELP - A triangle has side lengths of 7, 23, and 25. Is the triangle a right triangle? *
Yes, the triangle is a right triangle.
No, the triangle is not a right triangle.
There is not enough information to tell if the triangle is a right triangle.
Answer:
No, the triangle is not a right triangle
Step-by-step explanation:
Answer:
To determine if the triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's check if the given triangle satisfies the Pythagorean theorem:
7^2 + 23^2 = 49 + 529 = 578
25^2 = 625
Since 578 is not equal to 625, the triangle does not satisfy the Pythagorean theorem. Therefore, the triangle is not a right triangle.
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Pricilla makes a profit of $24.50 on every scarf she sells the materials for each scarf cost
$8.39 how much does Priscilla sell each scarf for?
HELP (for the first select answer its “yes” or “no”)
Answer:
No, the sample is too small compared to the size of the shipment.
Step-by-step explanation:
The length of one rectangle is 3 1/2 mm with a width of 2 4/5 mm . What is the area of the rectangle?
Answer:
9.8
Step-by-step explanation:
The rabbit population at the city park increases by 14% per year. If there are intially 481 rabbits in the city park.
Write a model for the population (y) in terms of years (t).
y =
Find the population in 17 years.
Answer:
y = 0.14t + 481
Population in 17 years: 483.38
Step-by-step explanation:
y = (m) (x) + b
y = (slope) (x) + starting value
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Answer:
Is this called
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Answer:
A tropism (from Greek τρόπος, tropos, "a turning") is a biological phenomenon, indicating growth or turning movement of a biological organism, usually a plant, in response to an environmental sti
There are 400 thousand people living in Miami and 300 thousand people living in Anchorage. Which statement below shows which city has more people living in it? - 400 thousand people > 300 thousand people, so there are more people living in Miami. 400 thousand people < 300 thousand people, so there are more people living in Miami. 400 thousand people > 300 thousand people, so there are more people living in Anchorage. 400 thousand people < 300 thousand people, so there are more people living in Anchorage.
Answer:
Your answer is A <3
Step-by-step explanation:
Answer:
400 thousand people > 300 thousand people, so there are more people living in Miami.
Find the area of the equilateral triangle to the nearest hundredth, given the radius.
9514 1404 393
Answer:
20.78 square units
Step-by-step explanation:
The area of a regular polygon of radius r and number of sides n is given by ...
A = (n/2)r²sin(360°/n)
For this regular 3-gon of radius 4, the area is ...
A = (3/2)(4²)sin(360°/3) = 24(√3/2) = 12√3 . . . square units
The area is about 20.78 square units.
4. Are the expressions 3(y + 1) and 3y + 3, equivalent for y = 1? y= 2? y 3?
Answer:
yes they both equal 1
Step-by-step explanation:
if 40% percent is a number of 35 what is 50% of that number
Answer:
what is 50% of 35?
Answer is 17.5.
Step-by-step explanation: