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scoundrel [369]

2 years ago

5

Suppose the federal reserve increases the amount of reserbed by $100 million and the total money supply increases by $500 millio

n. What is the money supply?

1 answer:

mash [69]2 years ago

4 0

Answer: $400 million

Step-by-step explanation: $500-100= $400 million :)

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A true-false examination was constructed with the answers running in the following sequence: T F F T F T F T T F T F F T F T F T

julia-pushkina [17]

Answer:

yes

Step-by-step explanation:

lets use a significance level of = 0.1

<u> Determine if the sequence indicates randomness </u>

First step :

H0 : pattern is random

H1 : pattern not random

n1 ( number of true answers ) = 10

n2 ( number of false answers ) = 10

also number of runs for T = 5

number of runs for F = 5

Total number of runs = 5+ 5 = 10

Given that critical value at 0.05 = 23

we will reject the null hypothesis ( i.e the sequence departs from randomness )

3 0

2 years ago

An 8-pound bag of tomatoes costs $5.60. At the same rate, what would be the cost of 11 pounds of tomatoes?

Evgesh-ka [11]

Here is the solution to the given problem above.
Given that for an 8 pound bag of tomatoes costs $5.60, we would want to know how much will it be for 11 pounds. First, we should know how much does it cost per pound. So 5.60 divided by 8 is 0.7. So per pound of tomatoes costs $0.7. Now to know how much for 11 pounds, we multiply 0.7 by 11 and we get $7.70. The correct answer therefore would be option C. $7.70. Hope this answer helps.

5 0

3 years ago

What is the reciprocal of<br> of 1/5?

irga5000 [103]

The reciprocal of 1/5 is 5.

Reciprocals are numbers than when multiplied equal a product of 1. In this question, 1/5 * 5 = 1. An easy trick for finding reciprocals is flipping a fraction.

Hope this helps!!

8 0

3 years ago

Read 2 more answers

For the function y=3x2: (a) Find the average rate of change of y with respect to x over the interval [3,6]. (b) Find the instant

nirvana33 [79]

Answer:

The instantaneous rate of change of $y$ with respect to $x$ at the value $x = 3$ is 18.

Step-by-step explanation:

a) Geometrically speaking, the average rate of change of $y$ with respect to $x$ over the interval by definition of secant line:

$r = \frac{y(b) -y(a)}{b-a}$ (1)

Where:

$a$ , $b$ - Lower and upper bounds of the interval.

$y(a)$ , $y(b)$ - Function exaluated at lower and upper bounds of the interval.

If we know that $y = 3\cdot x^{2}$ , $a = 3$ and $b = 6$ , then the average rate of change of $y$ with respect to $x$ over the interval is:

$r = \frac{3\cdot (6)^{2}-3\cdot (3)^{2}}{6-3}$

$r = 27$

The average rate of change of $y$ with respect to $x$ over the interval $[3,6]$ is 27.

b) The instantaneous rate of change can be determined by the following definition:

$y' = \lim_{h \to 0}\frac{y(x+h)-y(x)}{h}$ (2)

Where:

$h$ - Change rate.

$y(x)$ , $y(x+h)$ - Function evaluated at $x$ and $x+h$ .

If we know that $x = 3$ and $y = 3\cdot x^{2}$ , then the instantaneous rate of change of $y$ with respect to $x$ is:

$y' = \lim_{h \to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}$

$y' = 3\cdot \lim_{h \to 0} \frac{(x+h)^{2}-x^{2}}{h}$

$y' = 3\cdot \lim_{h \to 0} \frac{2\cdot h\cdot x +h^{2}}{h}$

$y' = 6\cdot \lim_{h \to 0} x +3\cdot \lim_{h \to 0} h$

$y' = 6\cdot x$

$y' = 6\cdot (3)$

$y' = 18$

The instantaneous rate of change of $y$ with respect to $x$ at the value $x = 3$ is 18.

5 0

3 years ago

Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!

I am Lyosha [343]

irrational number, any real number that cannot be expressed as the quotient of two integers.

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers.

1st Is rational

2nd one is irrational

3rd is irrational

4th is rational

6 0

2 years ago