The determination of the money multiplier and the money supply for each reserve requirement listed in the following table are as follows:
Reserve Requirement Simple Money Money Supply
(percent) Multiplier (Dollars)
5 20 $8,000
10 10 $4,000
What is the money multiplier?The money multiplier is the ratio of the reserve to the money supply.
The formula for determining the money multiplier is 1/r where r is the reserve ratio.
What is the money supply?The money supply is the total amount of money circulating in the commercial banking system.
The quantity of the money supply is determined by multiplying the money multiplier by the total reserves.
Data and Calculations:Reserve Requirement Simple Money Money Supply
(percent) Multiplier (Dollars)
5 20 (1/0.05) $8,000 ($400 x 20)
10 10 (1/0.1) $4,000 ($400 x 10)
Question Completion:
Reserve Requirement Simple Money Money Supply
(percent) Multiplier (Dollars)
5
10
Thus, the money multiplier and money supply for the 5% reserve requirement are higher than for the 10% reserve requirement.
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These points are linear.
Find the slope.
x-3-2-1 0 1 2
y-8 0 8 16 24 32
slope = [?]
Enter
Answer:
slope = 8
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 8) and (x₂, y₂ ) = (2, 32) ← 2 ordered pairs from the table
note any pair of ordered pairs will give the slope
m = [tex]\frac{32-(-8)}{2-(-3)}[/tex] = [tex]\frac{32+8}{2+3}[/tex] = [tex]\frac{40}{5}[/tex] = 8
20) Sue had these expenditures for her car: April, $138.49; May, $356.75; June, $272.35; July, $417.28. What was
her average monthly expense for her car?
a.) $276.22
b.) $296.22
c.)$286.22
domain and range of the function f(x)=|x-5|+10
Answer:
Domain: (-infinity, infinity)
Range: [10, infinity)
Step-by-step explanation:
So the domain is easy to determine, because the only reason the domain would be restricted is in like logarithmic equations, radical equations, etc... So in this case the domain is all real number (-infinity, infinity) or all real numbers.
The range of this function is a bit different since it's an absolute function, so when the value inside the absolute values goes from -infinity to 0, it's actually decreasing, despite the value technically increasing. But there is a x-5 and that actually doesn't change the range, it simply shifts it to the right by 5 units, so the vertex is there, because that's when the value inside of it goes from being a negative to a positive number. the +10 does change the range, because normally an absolute value function has a vertex at (0, 0) and in this case it's slightly different since it has a vertex when x=5 since the x has 5 subtracted from it. But the +10 is moving that up. Since the lowest value of the absolute value will be 0, any negative number becomes positive. So the vertex is shifted up 10 units, thus the range is [10, infinity)
What is the median of the data set 50,54,62,48,49,52
Answer:
51
Step-by-step explanation:
arrange in ascending order
48,49,50,52 54,62
number of terms=6
median=(3rd term+4th term)/2=(50+52)/2=102/2=51
Answer:
51
Step-by-step explanation:
Hope it helps
What is the mean of the data set? Fifth Grade Jump Distance
2 |0
3 | 2 4 6
4 | 0 2 4 8
5 | 5
6 | 5
42
40
45
20
The mean of the data set is 42.
What is Mean?The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list.
Given:
20, 32, 34, 36, 40, 42, 44, 48, 55, 65
Mean = 20+32+ 34+ 36+ 40+ 42+ 44+ 48+ 55+ 65/10
Mean = 416 / 10
Mean = 41.6
Mean = 42
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MATH: GRAPHS AND FUNCTIONS PROBLEM 2
Answer:
Step-by-step explanation:
What does f(1) = 7 mean?
Answer:
if there's a graph for f(x):
if you're given a graph it means that at the x-coordinate x=1 the corresponding y-value is y=7. Another way to think of this is it's giving you the ordered pair. f(x-value) = y-value which gives you (x,y).
if there's an equation for f(x):
if you're given an equation, you're still looking to find the y-value but instead of looking on a graph, you're plugging 1 in for x in the equation which, after solving the equation, will equal 7.
basically, at x=1, the y-coordinate is 7
*insert prayer hands*
Step-by-step explanation:
ATTACHED IS THE SOLUTIONHow would you limit the domain to
make this function one to one?
f(x) = 5-x²
Your answer will be the point to which you would
limit the function. So if you would restrict the
domain to either all x values greater than or equal
to two or all x values less than or equal to two, you
would simply enter 2.
Answer:
0
Step-by-step explanation:
You need to restrict the domain to one side of the axis of symmetry.
I have no idea what to do
Answer:
[tex]x^{\frac{5}{3}} y^{\frac{1}{3} }[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{x^{5} y}[/tex] = [tex]x^{\frac{5}{3}} y^{\frac{1}{3} }[/tex]
Whats the correct answer answer asap for brainlist
Answer: C.) Earthquakes
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Answer:
The value of x =2 and y= 2, because they are congruent and 2+2=4
Answer:
The value of x =2 and y= 2, because they are congruent and 2+2=4
Step-by-step explanation:
hope this helps :)
On March 4, Micro Sales makes $13,500 in sales on bank credit cards which charge a 3% service charge and deposits the funds into Micro Sales' bank accounts at the end of the business day.
Required:
Journalize the sales and recognition of expense. Refer to the Chart of Accounts for exact wording of account titles. Round your answers to two decimal places.
Based on the sales made by Micro Sales on bank credit cards, the journal entries would be:
Date Account Title Debit Credit
March 4 Cash $13,095
Card Service expense $ 405
Sales Revenue $13,500
How is the transaction by Micro Sales recorded?The cash account will be debited with:
= 13,500 x (1 - 3%)
= $13,095
The Card service expense is:
= 13,500 x 3%
= $405
Sales revenue will be credited by the amount of sales which is $13,500.
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A trader bought 150 articles for $270.00. If he made
profit of 27%, find the selling price for each article
Answer:
$2.29
Step-by-step explanation:
$270 + 27% = $270 + (270 * 0.27)
= $270 + 72.9
= $342.9
$342.9 was the total selling price, but there are 150 articles.
$342.9 / 150 = $2.286
= $2.29 (Currency is rounded to two decimal places)
2(3-x)-1.4(5-2x)=2x+5.3
Answer:
x=-5.25
Step-by-step explanation:
Original equation:
[tex]2(3-x)-1.4(5-2x)=2x+5.3[/tex]
Distribute:
[tex]6-2x-7+2.8x=2x+5.3[/tex]
Group like terms:
[tex](6-7)+(2.8x-2x)=2x+5.3[/tex]
Add like terms:
[tex]-1+0.8x=2x+5.3[/tex]
Add 1 to both sides
[tex]0.8x=2x+6.3[/tex]
Subtract 2x from both sides
[tex]-1.2x=6.3[/tex]
Divide both sides by -1.2
[tex]x=-5.25[/tex]
Which line is perpedicular to a line that has a slope of 1/2?
Which relation is also a function
{(2,0),(3,2),(2,3)}
3,2
because each input only has one output and 2 has 0 and 3 so it is not a function that leaves 3,2.
Need answer ASAP. Giving Brainliest.
The inequality that represents the given graph is: D. y ≥ 2/3x + 2.
How to Determine the Equation of a Linear Inequality Graph?Using two points on the line, (0, 2) and (-3, 0), find the slope (m).
Slope (m) = change in y / change in x
Slope (m) = (2 - 0)/(0 - (-3))
Slope (m) = 2/3
The y-intercept (b) is the y-value of the point where the line intercepts the y-axis = 2.
Substitute m = 2/3 and b = 2 into y ≥ mx + b:
y ≥ 2/3x + 2
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175g plus 0.4kg equal in grams
Answer:
575g
Step-by-step explanation:
Since we need the ans in grams first ensure that both values are in the same unit.
So convert 0.4 kg into grams by multiplying it with 1000grams.
This gives us 400g
175+400=575g
A television game show has 12 doors, of which the contestant must pick 3. Behind 3 of the doors are expensive cars, and behind the other 9 doors are consolation prizes. The contestant gets to keep the items behind the 3 doors she selects. Determine the probability that the contestant wins at least one car.
The probability that the contestant wins at least one car is 3/5.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
For 1 car, we consider two possible outcomes:
P(1 car) = 2/6 x 4/5 + 4/6 x 2/5
P(1 car) = 8/15
For no car in either door
P(no car) = 4/6 x 3/5
P(no car) = 2/5
The probability that the contestant wins at least one car is the sum of the probability of one car and the probability of two cars:
P(2 cars) = 2/6 x 1/5
= 1/15
P(1 car) + P(2 cars) = 8/15 + 1/15
= 3/5
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Write the expression as one
involving only sin x and cos x.
sin 2x + cos x
Answer:
sin 2x + cos x = 2 sin x cos x + cos x = (2 sin x + 1)cos x
Step-by-step explanation:
Given the expression: sin 2x + cos x,
then we can use the formula: sin 2x = 2 sin x cos x, which gives:
sin 2x + cos x = 2 sin x cos x + cos x = (2 sin x + 1)cos x
So there you have two expressions in terms of sin x and cos x, as requested. :D
I need help with number 10,11 and 12 !
Answer:
10- I can't really help you with that one you have to just draw it on your own.
11- a triangle can only have 1 obtuse angle because the other 2 need to be acute to connect 3 sides.
12- x=20 degrees,y=64 degrees,z=116 degrees
Step-by-step explanation:
11- 1 obtuse angle because the other 2 need to be acute to connect 3 sides.
12- x=20 degrees because of the other 20 degree angle opposite to it. y=64 degrees because 180-(20+96)=64 (all angles in a triangle add to 180). z=116 degrees because supplementary angles add to 180 degrees and Y and Z are supplementary.
Identify the probability to the nearest hundredth that a point chosen randomly inside the rectangle is either in the circle or in the trapezoid.
The probability that a point is chosen randomly inside the rectangle is either in the circle or in the trapezoid is 0.23 option first is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The area of the rectangle = 30×21 = 630 square m
The total outcomes = 630 square m
The favorable outcomes = area of the circle + area of the trapezoid
= π(5)² + [(11+15)/2]×5
= 78.53 + 65
= 143.53 square m
Probability(a point chosen randomly inside the rectangle is either in the circle or in the trapezoid):
= 143.53/630
= 0.227 ≈ 0.23
Thus, the probability that a point is chosen randomly inside the rectangle is either in the circle or in the trapezoid is 0.23 option first is correct.
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Answer:
0.13
Step-by-step explanation:
I guessed and got it correct. Sorry, I cant show work, I hope it helped!! <3
Use the function below to find F(3).
Hello,
Answer: D
Step-by-step explanation:
F(x) = (1/5)ˣ
F(3) = (1/5)³ = 1³/5³ = 1/125
⇒ Answer D
given the function f(c)=4|x-5|+3, for what values of x is f(x)=15?
What is the slope of (6,0) and (1,3)
Answer:
- 3/5
Step-by-step explanation:
(y2-y1) / (x2-x1)
(6,0) & (1,3)
(3-0) / (1-6)
3/-5
- 3/5
Hell don’t understand homework If f(x)=
5x-1
Answer:
(a) -1
(b) 4
(c) 14
(d) 61
Step-by-step explanation:
A piecewise function is a function which has different definitions for different intervals of x.
Given:
[tex]f(x)=\begin{cases}5x-1 \quad \textsf{if }-5\leq x \leq 3\\x^3-3 \quad \textsf{if }\:\:\:\:\:\:3 < x \leq 4\end{cases}[/tex]
f(x) has 2 definitions:
Definition 1
[tex]5x-1[/tex] when x is more than or equal to -5 and less than or equal to 3. This is a linear function.
Definition 2
[tex]x^2-3[/tex] when x is more than 3 and less than or equal to 4. This is a cubic function.
Part (a)
We have to find f(0), so when x = 0.
x = 0 satisfies the condition -5 ≤ x ≤ 3 so the corresponding function is
[tex]f(x)=5x-1[/tex]
Substitute x = 0 in this definition:
[tex]\implies f(0)=5(0)-1=-1[/tex]
Part (b)
We have to find f(1), so when x = 1.
x = 1 satisfies the condition -5 ≤ x ≤ 3 so the corresponding function is
[tex]f(x)=5x-1[/tex]
Substitute x = 1 in this definition:
[tex]\implies f(0)=5(1)-1=4[/tex]
Part (c)
We have to find f(3), so when x = 3.
x = 3 satisfies the condition -5 ≤ x ≤ 3 so the corresponding function is
[tex]f(x)=5x-1[/tex]
Substitute x = 3 in this definition:
[tex]\implies f(0)=5(3)-1=14[/tex]
Part (d)
We have to find f(4), so when x = 4.
x = 4 satisfies the condition 3 < x ≤ 4 so the corresponding function is
[tex]f(x)=x^3-3[/tex]
Substitute x = 4 in this definition:
[tex]\implies f(4)=(4)^3-3=61[/tex]
Jolene invests her savings in two bank accounts, one paying 6 percent and the other paying 8 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 2920 dollars. How much did she invest at each rate? Amount invested at 6 percent interest is $ Jolene invests her savings in two bank accounts , one paying 6 percent and the other paying 8 percent simple interest per year . She puts twice as much in the lower - yielding account because it is less risky . Her annual interest is 2920 dollars . How much did she invest at each rate ? Amount invested at 6 percent interest is $
Answer:
$14,600 at 8%$29,200 at 6%Step-by-step explanation:
The total amount of interest earned is the sum of the amounts of interest earned by each of the accounts.
SetupLet x represent the amount invested at 8%. Then 2x is the amount invested at the lower rate of 6%. The interest earned by each investment is the product of the amount and the interest rate. The total earned is ...
0.08x +0.06(2x) = 2920
SolutionWe can simplify this equation, then divide by the x-coefficient.
0.20x = 2920 . . . . . . . . . . . simplify
x = 14600 . . . . . . . . . . divide by 0.2
2x = 29200 . . . . . . . . multiply by 2
Jolene invested $29,200 at 6%, and $14,600 at 8%.
Which must be true in order for the relationship
ZYX WVU to be correct?
N
ZY || WV
ZZZY and ZW=ZV
ZY YX and WV = VU
ZZZW and ZX=ZU
According to the AA similarity theorem, the statement that must be true is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.
What is the AA Similarity Theorem?The AA similarity theorem states that if two angles in one triangle is congruent to two corresponding angles in another triangle, then both triangles are similar.
For △ZYX ~ △WVU, any two pairs of corresponding angles must be congruent.
Therefore, the statement that must be true based on the AA similarity theorem is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.
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What are the domain and range of the function f of x is equal to the quantity x squared plus 5x plus 6 end quantity divided by the quantity x plus 2 end quantity?
A- D: {x ∊ ℝ | x ≠ 2}; R: {y ∊ ℝ | y ≠ −1}
B- D: {x ∊ ℝ | x ≠ − 3}; R: {y ∊ ℝ | y ≠ 0}
C- D: {x ∊ ℝ | x ≠ −2}; R: {y ∊ ℝ | y ≠ 1}
D- D: {x ∊ ℝ | x ≠ −2}; R: {y ∊ ℝ | y ≠ 0}
The domain and range of the function f of x are equal to : (C) D: {x ∊ ℝ | x ≠ −2}; R: {y ∊ ℝ | y ≠ 1}
Meaning domainA Domain can be defined as the values or numbers that are accepted or allowed in a particular function.
A domain is very important when dealing with a function.
In conclusion, The domain and range of the function f of x are equal to (C) D: {x ∊ ℝ | x ≠ −2}; R: {y ∊ ℝ | y ≠ 1}
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