ANSWER:
1.3 Canadian dollars.
STEP-BY-STEP EXPLANATION:
We can calculate the equivalence of a Canadian dollar, through the following proportion:
\(\frac{300}{230.05}=\frac{x}{1}\)We solve for x:
\(\begin{gathered} x=\frac{300}{230.05} \\ x\approx1.3 \end{gathered}\)Which means that $1 is approximately equal to 1.3 Canadian dollars.
Identify the equation of the line that is perpendicular to y = 3.
Group of answer choices
a. y = 1/3
b. y= -3
c .x = 3
d. x = -3
Answer:
letter C. po
Step-by-step explanation:
Im sure tama po ako
Answer:
Step-by-step explanation:
As y = 3 is a horizontal line, perpendicular lines will be vertical.
Correct options will be
c. x = 3
d. x = -3
Jodie bought a refrigerator on sale for 35% off the original price, for $97. What was the price of the refrigerator before the sale?
$97 = (Original Price) - (35% of Original Price)
$97 = (Original Price) - (0.35 of Original Price)
$97 = (1 - 0.35) of (Original Price)
$97 = (0.65) of (Original Price)
$97 = 0.65 · (Original Price)
Divide each side by 0.65 .
$97/0.65 = Original Price
$149.23 = Original Price
4. Malaki has a 'no interest-free period' credit card that charges 16.5% p.a. interest. On 9 January he purchases a phone costing K395.00. His January statement is dated 28 January and the phone is the only item on it.
a. How much interest is charged on the January credit card statement?
b. Malaki pays K100.00 off the amount owed on 28 January and makes no more purchases or payments before the next credit card statement arrives on 28 February. How much will this statement show that Malaki owes?
Answer:
K5.60.
Step-by-step explanation:
Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
O y-2 = 3(x +1/2)
O y-3 = 2(x + 1/2)
O y+ 1/2 = 3(x - 2)
o y + 1/2 = 2(x - 3)
Answer:
\(\displaystyle y + \frac{1}{2} = 3\, (x - 2)\).
Step-by-step explanation:
Consider a line in a cartesian plane that goes through the point \((x_{0},\, y_{0})\). If the slope of this line is \(m\) (a real constant,) the equation of this line in point-slope form would be:
\(y - y_{0} = m\, (x - x_{0})\).
The line in this question goes through the point \((2,\, (-1/2))\). Thus, \(x_{0} = 2\) whereas \(y = (-1/2)\). The slope of this line is \(m = 3\). Thus, the equation of this line in point-slope form would be:
\(y - (-1/2) = 3\, (x - 2)\).
Simplify to obtain:
\(y + (1/2) = 3\, (x - 2)\).
(-7) times ? = -14 what are the missing numbers
Answer:
2
Step-by-step explanation:
-7 x 2 = -14
Answer:
-7*2=-14
Step-by-step explanation:
negative * positive = negative
Therefore, -7*2=-14
Hope this Helps!
Select all the multiples of the number 3
Identify the correct vertex form of the following quadratic equation:
f(x) = -6x2 - 12x - 13
[~S & (R V S) ] ≡ (Q ⊃ S) where A = T, S = F, R = F, Q = T
[~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T by substituting the propositional variables.
What is truth table?A truth table is a table used to determine the truth values of a compound proposition, which is a logical statement made up of simpler propositions using logical operators such as "and" (represented by "&"), "or" (represented by "V"), "not" (represented by "~"), conditional (represented by "⊃"), and biconditional (represented by "≡").
According to question:Let's substitute the given truth values for the propositional variables in the given statement:
[~F & (F V F)] ≡ (T ⊃ F)
Using the truth table for conjunction (represented by "&") and disjunction (represented by "V"), we can simplify the left-hand side of the equivalence:
[T & F] ≡ (T ⊃ F)
Using the truth table for conditional (represented by "⊃"), we can simplify the right-hand side of the equivalence:
F ≡ F
Since both sides of the equivalence have the same truth value, the statement is true.
Therefore, [~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T.
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based on the information in the table, what quantity of reserves would the federal reserve have had to inject into the economy in 1932 to prevent the money supply from falling, given that the public increased the amount of currency it held and that banks increased the reserve-deposit ratio?
The public increased the amount of currency it held and that banks increased the reserve-deposit ratio is $0.66 million.
Now, According to the question:
December 1921
-Currency held by public: $4.59
-Reserve Deposit ratio: 0.095
-Bank reserves: $3.11
-Money supply: $37.3
December 1932
-Currency held by public: $4.82
-Reserve Deposit ratio: 0.109
-Bank reserves: $3.18
-Money supply: $34.0
We know that:
Bank deposits = (Bank reserves)/(Desired reserve-deposit ratio).
The Fed injected $0.30 billion (the public held $0.23 billion as currency and reserves increased by $0.07 billion was held as reserves). However, the money supply still fell by $3.3 billion.
It would have taken an additional 0.109 × $3.3 billion = $0.36 billion in reserves to support $3.3 in additional deposits.
So the answer is $0.30 billion + $0.36 billion = $0.66 billion.
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The given question is incomplete, complete question is :
Based on the information in the table, what quantity of reserves would the Federal Reserve have had to inject into the economy in 1932 to prevent the money supply from falling, given that the public increased the amount of currency it held and that banks increased the reserve-deposit ratio?
December 1921
-Currency held by public: $4.59
-Reserve Deposit ratio: 0.095
-Bank reserves: $3.11
-Money supply: $37.3
December 1932
-Currency held by public: $4.82
-Reserve Deposit ratio: 0.109
-Bank reserves: $3.18
-Money supply: $34.0
What is the solution to the system of equations? { X + 2y = -8
y = 1/2x - 2
Answer: x=4 and y=2
Step-by-step explanation: my brain has far surpassed the human comprehension
Answer:
x = -2 , y = -3
Step-by-step explanation:
Let's rearrange the second equation to make x and y on the same side :
y = 1/2x - 2
1/2x - y = 2
Now let's compare the 2 equations :
x + 2y = -8
1/2x - y = 2
Now we multiply the second equation by 2 to make the co-efficient of y the same :
x + 2y = -8
x -2y = 4
Since the signs are different we add the 2 equations :
2x = -4
Divide both sides by 2 to solve for x :
x = -2
Substitute x value into equation 2 to solve for y :
y = 1/2(-2) - 2
y = -1 - 2
y = -3
Our answer is x = -2 , y = -3
Hope this helped and have a good day
Solve the quadratic equation by factoring 9x^2 -16 = 0
Answer: x= - 4/3 and x = 4/3
Step-by-step explanation:
(3x-4) times (3x+4) = 0
bobby is painting a figure on a banner for a homecoming parade. the figure he is painting consists of an isosceles triangle, a rectangle, and a semicircle, as shown how do i sovle it
Using the perimeter formula, the total length of sparkling lights he can add to the banner is 40.56ft.
Define perimeter?The perimeter of a shape is its whole length. It is any border or outline's length that defines a two-dimensional geometric shape. Different figures may have the same perimeter depending on their sizes.
The same wire can be used to create a square if each of its four sides is the same length.
Here in the question,
We have to find the perimeter of the whole figure.
Now the total perimeter =
Sum of sides of the triangle + sum of sides of quadrilateral and the sum of the circumference of the semi-circle.
Perimeter = 10 + 5 + 3 + 10 + πr
= 28 + 3.14 × 8/2
= 28 + 12.56
= 40.56ft.
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The complete question is:
Bobby is creating a banner for the homecoming parade. The banner consists of an isosceles triangle, a rectangle, and a semicircle. He wants to add sparkling lights around the trim of the banner.
What is the total length of sparkling lights he can add to the banner?
2+2=
a. 3
b. 5
c. 4
d. 7
Answer:
C
Step-by-step explanation:
2
+2
-----
4
A man bought one almirah for Rs 3640 and the other for Rs 4800. He sold the first almirah for a loss of 15% and the other at a profit of 13 1/3 %. How much did he gain or lose in the whole transaction.
Please tell the answer .
Answer:
Rs. 94
Step-by-step explanation:
We will denote the almirahs as A1 and A2 for ease of explanation. I am omitting currency until the final answer
For the following computations note that x% = x/100 in decimal so
15% = 15/100 = 0.15
13 1/3% = 13 1/3 ÷ 100 = 40/3 ÷ 100 = 40/300
Cost of A1 = 4800
A1 was sold for a loss of 15%
Loss = 15% of 3640 = 0.15 x 3640 = Rs 546
A2 bought at 4800 was sold at a gain of 13 1/3%
Gain from sale = 13 1/3% of 4800 = 40/300 x 4800 =Rs 640
We have to treat gain as positive and loss as negative to arrive at the answer
Net gain/loss = 640 - 546 = Rs. 94
I don’t understand this question.
The area of a square is 36 sq.cm, then its perimeter is a) 24 cm b) 6 cm c) 144 cm d) 36 cm
Answer:
Step-by-step explanation:
3.6*
It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2
For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.
We get
36 = s^2
Now, we need to get the square root of both sides, which gives us
s = √36 s = 6 cm
Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.
Therefore, the perimeter of the square is 24 cm.
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i need help with this ^
Answer:
There is no x are we soppouse to name the triangle bc if so it would be isoclated
Step-by-step explanation:
Rewrite the fraction with a denominator of 30 for 4/5
Answer:
24/30
Step-by-step explanation:
5 goes into 30 6 times, so multiply 4 x 6= 24
Solve f (9) for f(x) = -13 + 2x
ƒ(9) = [?]
The value of f(9) for the given function is 5
Evaluating the value of a functionFrom the question, we are to determine the value of f(9)
The given function is
f(x) = -13 + 2x
To determine f(9), we will put x = 9 in the given function
That is,
f(x) = -13 + 2x becomes
f(9) = -13 + 2(9)
f(9) = -13 + 18
f(9) = 5
Hence, the value of f(9) for the given function is 5
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Find the rate of change demonstrated in the graph below.
The rate of change of a graph, is the slope of the graph.
The rate of change of the graph is 4.5
The points on the graph are:
\(\mathbf{(x,y) = (2,9) (4,18)}\)
So, the slope (m) is calculated as:
\(\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}\)
This gives
\(\mathbf{m = \frac{18 - 9}{4-2}}\)
\(\mathbf{m = \frac{9}{2}}\)
\(\mathbf{m = 4.5}\)
Hence, the rate of change of the graph is 4.5
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65liters = how many quarts
Answer:
65 kg of water is 65k kg of grams
A tent that sells for 250 is on sails for 20% discount what's the sale price of the tent
Step-by-step explanation:
Original price- $250
Discount 20% x 20
-----------
5000
Equals amount taken off $5000
Subtract original price -250
---------------
Sale Price 4750
Hope this helps! If this is not the answer please tell me!
Anyone know how to solve?
Solve the quadratic equation x2 + 14x = 51 by completing the square.
Question 3 options:
A)
x = –17, x = –3
B)
x = –17, x = 3
C)
x = 3, x = 17
D)
x = –3, x = 17
Answer:
B
Step-by-step explanation:
Given
x² + 14x = 51
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(7)x + 49 = 51 + 49 , that is
(x + 7)² = 100 ( take the square root of both sides )
x + 7 = ± \(\sqrt{100}\) = ± 10 ( subtract 7 from both sides )
x = - 7 ± 10
Thus
x = - 7 - 10 = - 17
x = - 7 + 10 = 3
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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What is the area of a triangle whose vertices are J(-2,1), K(0.3), L(3.-4)?
Check the picture below, so that's the triangle hmmmm a bit non-right-triangle or irregular per se, so let's use Heron's formula on this one, so we'll have to first find the length of each side
\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ J(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad K(\stackrel{x_2}{0}~,~\stackrel{y_2}{3}) ~\hfill JK=\sqrt{(~~ 0- (-2)~~)^2 + (~~ 3- 1~~)^2} \\\\\\ ~\hfill JK=\sqrt{( 2)^2 + ( 2)^2} \implies JK=\sqrt{ 8 }\)
\(K(\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad L(\stackrel{x_2}{3}~,~\stackrel{y_2}{-4}) ~\hfill KL=\sqrt{(~~ 3- 0~~)^2 + (~~ -4- 3~~)^2} \\\\\\ ~\hfill KL=\sqrt{( 3)^2 + ( -7)^2} \implies KL=\sqrt{ 58 } \\\\\\ L(\stackrel{x_1}{3}~,~\stackrel{y_1}{-4})\qquad J(\stackrel{x_2}{-2}~,~\stackrel{y_2}{1}) ~\hfill LJ=\sqrt{(~~ -2- 3~~)^2 + (~~ 1- (-4)~~)^2} \\\\\\ ~\hfill LJ=\sqrt{( -5)^2 + (5)^2} \implies LJ=\sqrt{ 50 }\)
now let's use those three lengths for Heron's
\(\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=\sqrt{8}\\ b=\sqrt{58}\\ c=\sqrt{50}\\ s=\frac{\sqrt{8}+\sqrt{58}+\sqrt{50}}{2}\\\\ \qquad \frac{\sqrt{58}+7\sqrt{2}}{2} \end{cases}\)
\(A=\sqrt{\frac{\sqrt{58}+7\sqrt{2}}{2}\left(\frac{\sqrt{58}+7\sqrt{2}}{2}-\sqrt{8} \right)\left(\frac{\sqrt{58}+7\sqrt{2}}{2}-\sqrt{58} \right)\left(\frac{\sqrt{58}+7\sqrt{2}}{2}-\sqrt{50} \right)} \\\\\\ ~\hfill {\Large \begin{array}{llll} A=10 \end{array}}~\hfill\)
Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?
Which of the following shows the polynomial below written in descending order?
4x3^+3x7^ - 9x+x12^
The polynomial which in the descending order of the polynomial 4x³ + 3x⁷ - 9x + x¹² is option A. x¹² + 3x⁷ + 4x³ - 9x.
What is Polynomials?Polynomial is an algebraic expression that consists of variables, coefficients, constants and powers or exponents which are all combined using operations like subtraction, addition, multiplication.
We have the polynomial,
4x³ + 3x⁷ - 9x + x¹²
We have to write it in the descending order.
Descending order is to write it in a way that the power of the variable decreases for each succeeding term.
Here the term x¹² has the highest power of 12. So it should be the first term.
Then the highest power is 7 for the term 3x⁷ and then comes 4x³ and -9x.
Hence the polynomial in the descending order is x¹² + 3x⁷ + 4x³ - 9x.
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y= 2x - 1 , y - x = 4
Answer:
x=5 and y=9
Step-by-step explanation:
Sub 1 into 2
2x-1 - x = 4
x= 4+1
x= 5
y= 2(5)-1
y= 10-1
y= 9
What is the area of the triangle? Use the formula: Area of a triangle = 1/2bh.How do you find the area of a triangle?
9514 1404 393
Answer:
4 square inches
Step-by-step explanation:
The only triangle in the figure is 4 in wide and 2 in high. Using these values in the given formula, we find the area to be ...
A = 1/2bh
A = (1/2)(4 in)(2 in) = 4 in²
The area of the triangle is 4 square inches.
Answer:
4 sq in
Step-by-step explanation:
the height of the triangle is 2 inches 2 x 4 = 8 8/2 =4