The monetary policy that the Central Bank is using to address the downturn in the economy is the reduction of the reserve requirement from 17% t 14%.
What is monetary policy?It should be noted that the monetary policy is the set of actions to control money supply in the economy.
The macroeconomic issues resulting from the pandemic on Trinidad and Tobago are that there are less money in circulation and there's a reduction in the standard of living.
The reduction of the reserve requirement will impact the money supply as it will lead to more money in circulation.
Complete question:
1. What form of monetary policy can the Central Bank use to address the downturn in the economy resulting from the pandemic?
2. Identity and explain two macroeconomic issues resulting from the pandemic on Trinidad and Tobago.
3. Identify how the reserve requirement will impact the money supply.
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You will have to solve the equation to get the number. Put your math skills to the test! Make sure to put your number in numeric form and in 3 digits. (not using pemdas, left to right)
Equation:
2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000
The value of the expression 2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 is 400000
How to solve the equation?The equation is given as:
2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000
From the question, we understand that the expression is to be solved from left to right (without using the pemdas mathematical rule)
So, we start by multiplying 2 and 4
2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 8 + 48000 / 8 - 1 x 30 x 2 + 40000
Add 8 and 48000
2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 48008 / 8 - 1 x 30 x 2 + 40000
Divide 48008 by 8
2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 6001 - 1 x 30 x 2 + 40000
Subtract 1 from 6001
2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 6000 x 30 x 2 + 40000
Multiply 6000 and 30
2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 180000 x 2 + 40000
Multiply 180000 by 2
2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 360000 + 40000
Evaluate the sum
2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 400000
Hence, the value of the expression 2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 is 400000
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Question 1 Which number has the greatest value? O 0.095 O 1.24 1.215 O 0.365 Confident
Answer:
1.24
Step-by-step explanation:
because 1.24>1.215>0.365>0.095
Will give 30 pts!
What is:
27+ 8 x 41- 23 =
Which of the graphs below shows the solution set of -7 < x <0
Answer:
none
Step-by-step explanation:
A. -7 <= x < 0
B. x <= -7 or x > 0
C. -7 < x <= 0
D. x < -7 or x >= 0
To create a graph to represent -7 < x < 0, draw empty circles at -7 and 0, then connect the two with a line.
A fish can swim at 14m/s with the current and at 6m/s against it. Find the speed
of the current and the speed of the fish in still water.
Answer:
10 m/s
Step-by-step explanation:
Let x = speed of fish and y = speed of current. When swimming with current, the fish's speed is x + y. When swimming against it, the speed is x - y. Therefore, we can set up a system of linear equations to solve for x, the speed of fish.
x + y = 14
x - y = 6
2y = 8
y = 4
x - 4 = 6
x = 10
The speed of fish in still water is 10 m/s, and the speed of current is 4 m/s.
Answer:
Speed of fish in still water = 10 m/s
Speed of current = 4 m/s
Step-by-step explanation:
Let the speed of the fish in still water = x m\s
Let the speed of the current = y m/s
Speed of the fish with the current = x + y
x +y = 14 m/s ------------------(I)
Speed of the fish against current = x -y
x - y = 6 m/s ----(II) &
Add the equations (I) & (II) and 'y' will be eliminated and we can find the value of 'x'.
x + y = 14
x - y = 6 {Now, add)
2x = 20
x = 20/2
x = 10
[tex]\sf \boxed{\text{\bf Speed of fish in still water = 10 \ m / s}}[/tex]
Plugin x = 10 in equation (I)
10 + y = 14
y = 14 - 10
y = 4
[tex]\sf \boxed{\text{\bf Speed of the current = 4 \ m/s}}[/tex]
Which of the following linear equations corresponds to the table above?
OA. y=4x-3
OB. y=¹/4x-3
OC. y=¹/4x+3
OD.
y = 4x + 3
[tex]given \: that \: its \: linear \\ m = \frac{15 - 3}{3 - 0} = \frac{12}{3} = 4 [/tex]
[tex]b = y(0) = 3 \\ y = 4x + 3 \: [/tex]
Option DAnswer:
D) y = 4x + 3
Step-by-step explanation:
Equation of line in slope y-intercept form:[tex]\sf \boxed{\bf y = mx +b}[/tex]
Here, m is the slope and b is y intercept.
At y intercept, x = 0
From the table, y intercept = 3
Choose any two points from the table to find the slope.
(0 ,3) & (3,15)
[tex]\sf \boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf =\dfrac{15-3}{3-0}\\\\=\dfrac{12}{3}\\\\=4[/tex]
m = 4 ; b = 3
Equation of line:
y = 4x + 3
4a*(3-2b) for a=1/2 and b=-1
pls hurry
Answer:
2
Step-by-step explanation:
Use pemdas
4a*(3-2b)
4(1/2)*(3-2(-1))
4* 1/2 = 2
2*(3-2(-1)
-2*-1 = 2
2(3-2)
3 -2 = 1
2(1) = 2
2X/x+2 = - (6/x+4)
This is a problem which I think I’m supposed to get a form like x^2+x+1
Step-by-step explanation:
it's 2x²+8x
and I cannot understand your question
Answer:
x = - 6, x = - 1
Step-by-step explanation:
[tex]\frac{2x}{x+2}[/tex] = - [tex]\frac{6}{x+4}[/tex] ( cross- multiply )
2x(x + 4) = - 6(x + 2) ← distribute parenthesis on both sides )
2x² + 8x = - 6x - 12 ( subtract - 6x - 12 from both sides )
2x² + 14x + 12 = 0 ( divide through by 2 )
x² + 7x + 6 = 0 ← in standard form
(x + 6)(x + 1) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x + 1 = 0 ⇒ x = - 1
Cai says you can divide both quantities in a ratio by the same nonzero number to
find an equivalent ratio. Explain why Cai is correct.(MATH)
Answer:
correct
Step-by-step explanation:
dividing both quantities in a ratio by the same non zero number does indeed find an equivalent ratio.
for example
60 : 36 ( divide both parts by 6 )
= 10 : 6 ← equivalent ratio ( divide both parts by 2 )
= 5 : 3 ← equivalent ratio in simplest form
in fact dividing the original by the HCF of the 2 quantities gives the ratio in simplest form immediately , that is
60 : 36 ( divide both parts by 12 )
= 5 : 3
A certain cellular phone plan charges $31.00 per month plus $0.14 for each minute of usage. The monthly charge is given by the formula monthly charge=0.14x+31, where x represents the number of minutes of usage per month. What is the charge for a month with 340 minutes of usage? Write your answer to two decimal places as money is traditionally written.
Answer:
$78.60
Step-by-step explanation:
0.14x + 31 = 0.14*340 + 31 = 78.6
m= -1/4, b=4
give the equation of the line with the given slope and y intercept.
I am still very confused by this..... i cant seem to make it stick in my brain.
Answer: y = -1/4x + 4
Step-by-step explanation:
slope intercept form = y = mx + b
since you are given m and b, plug in the points into the formula
-1/4 goes in for m and 4 goes in for b
leaving us with:
[tex]y=-\frac{1}{4} x+4[/tex]
Answer:
[tex]y=-\frac{1}{4}x+4[/tex]
Step-by-step explanation:
Ok, so the slope-intercept form is generally expressed as: [tex]y=mx+b[/tex]
y-intercept:
Let's start by explaining why the "b" value represents the y-intercept. So I attached a graph to make this a bit more understandable, but the gist is that anywhere on the y-axis, is going to have x=0, any point on the y-axis can generally be expressed as (0, y).
This means, if we want to find the y-intercept, using the slope intercept form, we simply plug in 0 as x, since that's what x will always be equal to at the y-intercept.
We get the following equation: [tex]y=m(0) + b[/tex], and since anything times zero is just zero, we can simplify this to: [tex]y=b[/tex], meaning the y-intercept will be the "b" value in any slope-intercept form equation.
The slope:
By definition the slope is just how much the y-value changes as x increase by one. Whenever we increase the x-value by one, in the equation y=mx+b, we have one more "m", or the value is increasing by m.
Let's look at an example:
[tex]y=m(1) +b\implies m+b[/tex]
[tex]y=m(2) + b \implies m + m + b[/tex]
[tex]y = m(3) + b \implies m + m + m +b[/tex]
See how each time we increase the value "x" by one, the value of "y" increases by m. So by definition "m" is the value of the slope.
So putting this all together with your example, we get the following equation:
[tex]y=-\frac{1}{4}x+4[/tex]
If the next two Junior Athletics events are sold out, the new table will look like this: Event 1 Event 2 Event 3 Event 4 Event 5 Event 6 Event 7 Junior Athletics Sold Out Sold Out Not Sold Out Not Sold Out Sold Out Sold Out Sold Out What is the new probability of the event being sold out? Give your answer as a fraction.
0.7 is the new probability of the event being sold out given that total number of events is 7 and 5 events are sold out. This can be obtained by using the formula for probability.
Find the new probability of the event being sold out:Probability is the chance of occurrence of an event.
⇒ The formula for finding probability,
Probability = [tex]\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ outcomes}[/tex]
Here it is given in the question that,
Total number of outcomes = Total number of events = 7 Number of events sold out = 5 Number of events not sold out = 2Therefore by using the formula of probability we get,
⇒ Probability (Junior Athletics being sold out) = [tex]\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ outcomes}[/tex]
Probability (Junior Athletics being sold out) = [tex]\frac{Number\ of\ events\ sold\ out}{Total\ number\ of\ events}[/tex]
Probability (Junior Athletics being sold out) = 5/7
⇒ Probability (Junior Athletics being sold out) = 0.7
Hence 0.7 is the new probability of the event being sold out given that total number of events is 7 and 5 events are sold out.
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Caisse can download a maximum of 1000 mb of songs or movies to her smartphone each month. the file of each movie is 85mb, and the file of each song is 4mb. write an inequality that represents the number of movies(M) and songs(S) that Caisse downloads each month?
If Caisse can download a maximum of 1000 mb of songs or movies then the inequality that represents the number of movies and songs that Caisse downloads each month is 85x+4y<1000.
Given that Caisse can download a maximum of 1000 mb of songs or movies to her smartphone each month. the file of each movie is 85mb, and the file of each song is 4mb.
We are required to find the inequality that represents the number movies and songs that Caisse downloads each month.
Inequality is like an equation that shows the relationship between variables that are expressed in greater than, less than , greater than or equal to , less than or equal to sign.
let the number of movies be x and the number of songs be y.
According to question Caisse cannot download more than 1000 mb, so we will use less than towards equation.
It will be as under:
85x+4y<1000.
Hence if Caisse can download a maximum of 1000 mb of songs or movies then the inequality that represents the number of movies and songs that Caisse downloads each month is 85x+4y<1000.
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Enter the correct answer in the box. If z>0, what is the quotient of 20 square root of z^6 • square root of 16x^7 in simplest radical form? If necessary, rationalize the denominator
The correct answer which represents the quotient of 20√z⁶ ÷ √16z⁷ in simplest radical form is; (5√z)/z.
What is the quotient of the expression in its simplest radical form?The quotient given can be evaluated by means of the laws of indices as follows;
20√z⁶ ÷ √16z⁷
= 20√z⁶ ÷ 4√z⁷
= 5 √(z⁶/z⁷)
= 5 √z^(-1)
= 5 × z^(-1/2)
= 5/√z
Hence, by rationalisation; we have;
= (5√z)/z.
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please help 30 points
See attachment for the graph of the function y = 5 sin(4x)
How to graph the trigonometry function?The trigonometry function is given as:
y = 5 sin(4x)
To plot the graph, we use the following domain:
x > 0
This represents the minimum value of x
Also, we use
x < π/2
This represents the maximum value of x
When the domain are combined, we have:
0 < x < π/2
This means that the domain that gives a complete cycle is 0 < x < π/2
See attachment for the graph of the function
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Work with your teacher/tutor. Match each inequality with its graph. Use the online tool to complete this
activity. The first one Is done for you.
The inequalities are matched with the respective graphs as shown in the attached image.
What is an inequality?In mathematics, inequality is the relationship between two non-equal expressions, denoted by a sign such as 'not equal to,' > 'greater than,' or 'less than.'
Roads feature speed limits, some movies have age limitations, and the time it takes to go to the park are all instances of inequalities in the real world.
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help please it would make my day pleaes help me
Answer:
I think it would be D
Assume that 30 in every 1000 people in the $34,000 - $82,400 income bracket are audited yearly. Assuming that the returns to be audited are selected at random and each year's selections are independent of the previous year's selections, determine the probability that a person in this income bracket will be audited this year.
The probability that a person in this income bracket will be audited this year is of 3%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that 30 out of 1000 people are audited, hence the probability that a person in this income bracket will be audited this year is given by:
p = 30/1000 = 0.03 = 3%.
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Can u guys please give me the correct answe
Answer:
90°(the figure is poorly drawn)
Step-by-step explanation:
the sum of the interior angles in a triangle is 180°120 ° and y are in a straight line, so 120° + y = 180 °
find y
180 - 120 = 60°
find x
180 - 60 - 30 = 90°
Find the derivative f(x)=[(3x^2-2)/(2x+3)]^3
[tex]f(x)=\left( \cfrac{3x^2-2}{2x+3} \right)^3\implies \cfrac{df}{dx}=\stackrel{\textit{\LARGE chain~ ~~ rule}}{3\left( \cfrac{3x^2-2}{2x+3} \right)^2\underset{quotient~rule}{\left( \cfrac{6x(2x+3)~~ - ~~(3x^2-2)2}{(2x+3)^2} \right)}} \\\\\\ \cfrac{df}{dx}=3\left( \cfrac{3x^2-2}{2x+3} \right)^2\left( \cfrac{12x^2+18x-6x^2+4}{(2x+3)^2} \right) \\\\\\ \cfrac{df}{dx}=3\left( \cfrac{3x^2-2}{2x+3} \right)^2\left( \cfrac{6x^2+18x+4}{(2x+3)^2} \right)[/tex]
[tex]\cfrac{df}{dx}=3 \cfrac{(3x^2-2)^2}{(2x+3)^2} \left( \cfrac{2(3x^2+9x+2)}{(2x+3)^2} \right)\implies \cfrac{df}{dx}=\cfrac{6(3x^2-2)^2(3x^2+9x+2)}{(2x+3)^4}[/tex]
now, we could expand the polynomials, but there isn't much simplification, so no much point doing so.
……hellppppppppp nowwwe
Answer:
18 miles
Step-by-step explanation:
hihihihihiuijihihihi
Name the coordinates of the vertices of the feasible region for the following system of inequalities. y>2,
The feasible reason for inequality y>2 is attached.
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What is the value of 11!
Answer:
39916800
Step-by-step explanation:
1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10 × 11
|3x-1|=4 help pleaseeeeeeeeee
Answer: x = -1 or x = 5/3
Step-by-step explanation:
|3x - 1| = 4
=> 3x - 1 = 4 or 3x - 1 = -4
=>x = 5/3 or x = -1
Find the area of the trapezoid 8 8 12 7
1-cos(12x)=____.
A. 2cos^2(12x)
B. 2cos^2(6x)
C. 2sin^2(12x)
D. 2sin ^2(6x)
By applying trigonometric expressions and algebra properties, the trigonometric equation 1 - cos 12x is equivalent to the trigonometric equation 2 · sin² 6x. (Correct choice: D)
How to simplify a trigonometric equation
Herein we have a trigonometric equation which has to be simplified. Simplification procedure consists in applying trigonometric expressions and algebra properties to transform the function from the form f(cos 12x) to the form f(cos 6x). Now we present the solution in detail:
1 - cos 12x Given1 - cos² 6x + sin² 6x cos 2x = cos² x - sin² x / (- 1) · a = - a1 - 1 + sin² 6x + sin² 6x cos² x + sin² x = 1 / (- 1) · a = - a2 · sin² 6x Definitions of subtraction and addition / Existence of additive inverse / Modulative property / ResultBy applying trigonometric expressions and algebra properties, the trigonometric equation 1 - cos 12x is equivalent to the trigonometric equation 2 · sin² 6x. (Correct choice: D)
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A particle is moving with the given data. Find the position of the particle. a(t) = t2 − 7t + 6, s(0) = 0, s(1) = 20
The function position of the particle is s(t) = (1 / 12) · t⁴ + (7 / 6) · t³ + 3 · t² + (63 / 4) · t.
What are the parametric equations for the motion of a particle?
By mechanical physics we know that the function velocity is the integral of function acceleration and the function position is the integral of function velocity. Hence, we need to integrate twice to obtain the function position of the particle:
Velocity
v(t) = ∫ t² dt - 7 ∫ t dt + 6 ∫ dt
v(t) = (1 / 3) · t³ - (7 / 2) · t² + 6 · t + C₁
Position
s(t) = (1 / 3) ∫ t³ dt - (7 / 2) ∫ t² dt + 6 ∫ t dt + C₁ ∫ dt
s(t) = (1 / 12) · t⁴ + (7 / 6) · t³ + 3 · t² + C₁ · t + C₂
Now we find the values of the integration constants by solving the following system of linear equations:
0 = C₂
63 / 4 = C₁ + C₂
The solution of the system is C₁ = 63 / 4 and C₂ = 0. The function position of the particle is s(t) = (1 / 12) · t⁴ + (7 / 6) · t³ + 3 · t² + (63 / 4) · t.
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a swimming pool charges £3.60 for entry. you can save 1/3 of entry fee with a membership card. on his first visit, ken spends £5 on a membership card plus the reduced entry fee. how many times does ken visit before he gets back his £5
The number of times Ken visits, given the £3.6 pool charge, and 1/3 savings per visit is 5 times.
Which method can be used to find the number of times Ken visits the pool to get back his £5?The entry fee = £3.60
Amount saved on entry fee by having a membership card = 1/3 of the entry fee
Amount Ken spends on the membership card and the reduced entry fee = £5
Therefore;
Reduced entry fee = £3.60×(1 - 1/3) = £2.4
Amount saved per visit = £3.6 - £2.4 = £1.2
The number of visits, n, before he gets back his £5 is therefore;
n = £5/(£1.2/visit) ≈ 4.17 visitsKen has to visit the swimming pool more than 4 times to get his £5 back.
Rounding to the next larger whole, therefore;
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What is the measure of the third angle?
Answer:
108
Step-by-step explanation:
11+61=72
We use 180 and subtract it by 72 because we know that all angles in a triangle add up to 180.
180-72=108
Carlos went to PetSmart to get his hamster an exercise ball. There was a small one with a 5 inch diameter and a 13 inch ball. How much more space (volume) is in the larger than the smaller? Round to the nearest tenth.
Answer:
150.8 in³
Step-by-step explanation:
The volume of the 5 inch ball is
[tex]\frac{4}{3}\pi (5/2)^{3}[/tex]
The volume of the 13 inch ball is
[tex]\frac{4}{3}\pi (13/2)^{3}[/tex]
Subtracting these volumes, we get about 150.8 in³.
The amount of space (volume) that is in the larger spherical ball than the smaller will be 1,084.8 in.³
What is the Volume of a Spherical Solid?To find the volume of a sphere, which is the amount of space the solid contains, the formula used is given as: 4/3 πr³,
where r is the radius of the sphere, which is half the measure of the diameter.
Diameter of the smaller spherical ball = 5 inches
Radius = 5/2 = 2.5 inches
Volume of the smaller spherical ball = 4/3 πr³ = 4/3 × π × 2.5³
Volume ≈ 65.5 in.³
Diameter of the larger spherical ball = 13 inches
Radius = 13/2 = 6.5 inches
Volume of the larger spherical ball = 4/3 πr³ = 4/3 × π × 6.5³
Volume of the larger spherical ball ≈ 1,150.3 in.³
The amount of space (volume) that is in the larger spherical ball than the smaller.
= 1,150.3 - 65.5
The amount of space (volume) that is in the larger spherical ball than the smaller will be 1,084.8 in.³
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