Answer:
a. $1240
b. $2020
c. 8.3 years
d. 16.7 years
Step-by-step explanation:
Using the simple interest formula, I = Prt, we solve as follows.
a.
I = 1000 × 0.06 × 4 = 240
1000 + 240 = 1240
Answer: a. $1240
b.
I = 1000 × 0.06 × 17 = 1020
1000 + 1020 = 2020
Answer: b. $2020
c.
$1500 - $1000 = $500
Interest is $500
500 = 1000 × 0.06 × t
t = 8.3
Answer: c. 8.3 years
d.
$2000 - $1000 = $1000
Interest is $1000
1000 = 1000 × 0.06 × t
t = 16.7
Answer: d. 16.7 years
Answer:
Please note I have assumed the interest is compounded annually.
a) $1,262.48
b) $2,692.77
c) 7 years
d) 12 years
Step-by-step explanation:
Assuming the interest is compounded annually.
[tex]\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ A=P\left(1+r\right)^{t}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
Given:
P = $1,000r = 6% = 0.06Substitute the given values into the formula to create an equation for A in terms of t:
[tex]\implies A=1000(1+0.06)^t[/tex]
[tex]\implies A=1000(1.06)^t[/tex]
Part (a)To calculate how much will be in the account after 4 years, substitute t = 4 into the equation:
[tex]\implies A=1000(1.06)^4[/tex]
[tex]\implies A=1000(1.2624769...)[/tex]
[tex]\implies A=1262.4769...[/tex]
Therefore, there will be $1,262.48 in the account after 4 years.
Part (b)To calculate how much will be in the account after 17 years, substitute t = 17 into the equation:
[tex]\implies A=1000(1.06)^{17}[/tex]
[tex]\implies A=1000(2.69277278...)[/tex]
[tex]\implies A=2692.77278...[/tex]
Therefore, there will be $2,692.77 in the account after 17 years.
Part (c)To calculate how many years it will take for the account to contain $1,500, substitute A = 1500 into the equation and solve for t:
[tex]\implies 1500=1000(1.06)^t[/tex]
[tex]\implies 1.5=(1.06)^t[/tex]
[tex]\implies \ln 1.5=\ln (1.06)^t[/tex]
[tex]\implies \ln 1.5=t \ln (1.06)[/tex]
[tex]\implies t=6.95851563...[/tex]
Therefore, it would take 7 years for the account to contain $1,500.
Part (d)To calculate how many years it will take for the account to contain $2,000, substitute A = 2000 into the equation and solve for t:
[tex]\implies 2000=1000(1.06)^t[/tex]
[tex]\implies 2=(1.06)^t[/tex]
[tex]\implies \ln 2=\ln (1.06)^t[/tex]
[tex]\implies \ln 2=t \ln (1.06)[/tex]
[tex]\implies t=11.8956610...[/tex]
Therefore, it would take 12 years for the account to contain $2,000.
A wooden box in the shape of a rectangle prism has a diagonal with a length of 25 centimeters, as shown.
What is the length of DH ?
___ centimeters
Using Pythagoras theorem the side length of DH is 9cm
Pythagoras's TheoremPythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
To find the value of DH, we can use Pythagoras's theorem to find the length of HC
EC² = EH² + HC²
25² = 20² + HC²
HC² = 25² - 20²
HC² = 225
HC = √225
HC = 15
Using Pythagoras's theorem again, we can find DH
HC² = DC² + DH²
15² = 12² + DH²
DH = 9
The length of DH is 9cm
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A car was bought for £8000.its value depreciated 20% each year
Answer:
Step-by-step explanation:
i need points goodluck tho
Five identical rectangular pieces of cloth of different prints when arranged as shown form a square patch. If the perimeter of each rectangular piece is 48 cm, what is the perimeter of the square patch?
(With explanation)
Answer:
Perimeter of the square patch is 240 cm.
Step-by-step explanation:
If the perimeter of each rectangular piece is 48 cm, then the length of each side of each rectangular piece is 12 cm. When the rectangular pieces are arranged to form a square patch, the patch will have 5 rows and 5 columns of rectangular pieces. Since the rectangular pieces are identical, the length of each side of the square patch will be 5 times the length of one side of a rectangular piece. Therefore, the length of each side of the square patch will be 5 * 12 cm = 60 cm.
The perimeter of the square patch is the sum of the lengths of all four sides of the patch. Since all sides of the patch have the same length, the perimeter of the square patch will be 4 * 60 cm = 240
Which expression is equivalent to 3 ( 4 x + 10 ÷ 2 + 3 ) ?
Please help solve this problem
Answer:
120m/s
Step-by-step explanation:
v-? (speed)
s-5400m(travel)
t-45s(time)
v=s/t
v=5400/45
v=120m/s
HELPPPP ASAPPPP PLEASEE!!!
Answer:
step 4 ,step 2, step 1 , step 3 , step 5
help please! will give brainlest
Answer: 20°
Step-by-step explanation:
The sum of all the interior angles of a triangle is 180°
So to find the missing angle you just need to subtract 25° and 135° from 180°, which equals 20°
Which is the product of 56 and 5/9
1, 1 and 4/9
2, 30
3, 31
4, 31 and 1/9
Answer:
4.
Step-by-step explanation:
strange phrasing of the answer options.
anyway, the product of 56 and 5/9 is
56 × 5/9 = 56×5 / 9 = 280/9 = 31 1/9
or as the definition says 31 and 1/9.
because 31×9 = 279.
280 - 279 = 1
so, there is a remainder of 1, which means 1/9.
280/9 = 279/9 + 1/9 = 31 1/9
Beth bought 16 tickets to a movie, where adult tickets cost $8.00 and senior citizen
tickets cost $5.00. She spent a total of $120. Create a system of equations to determine
the number of adult tickets and the number of senior citizen tickets that Beth
purchased?
A system of equations that determines the number of adult tickets and the number of senior citizen tickets that Beth purchased is x + y = 16
8x + 5y = 120.
What is a system of an equation?
A set or group of equations that you solve all at once is referred to as a "system" of equations. The simplest linear system is one with two equations and two variables. Linear equations (those that graph as straight lines) are easier to understand than non-linear ones.
Here, we have
Given: Beth bought 16 tickets to a movie, where adult tickets cost $8.00 and senior citizen tickets cost $5.00. She spent a total of $120.
We let adult tickets be x and
let senior citizens' tickets be y.
x + y = 16....(1)
8x + 5y = 120...(2)
From equation(1)
x = 16 - y
we put the value of x in equation(2) and we get
= 8(16 - y) + 5y = 120
= 128 - 8y + 5y = 120
= 3y = 8
y = 8/3
Now, we put the value of y in equation(1) and we get
x = 16-8/3
x = 40/3
Hence, a system of equations that determines the number of adult tickets and the number of senior citizen tickets that Beth purchased is x + y = 16
8x + 5y = 120.
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what are m and b in the linear equation, using the common meanings of m and b? 2+3X+5-2X=y
Answer: m = 1, b = 7.
Step-by-step explanation:
First, you must convert 2 + 3x + 5 - 2x = y to slope-intercept form. (y = mx + b)
y = mx + b
y = x + 7
The slope (m) is 1
The y-intercept (b) is 7
ASAPPPPPP!!!!! for each graph caculate the slope of each line
Answer:
[tex]m = -1[/tex]
Step-by-step explanation:
Use the slope formula:
slope [tex](m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (1 , 1)\\(x_2 , y_2) = (-5 , 7)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{7 - 1}{-5 - 1}[/tex]
Simplify. Combine:
[tex]m = \frac{(7 - 1)}{(-5 - 1)} \\[/tex]
[tex]m = \frac{6}{-6} = -\frac{6}{6} = -1[/tex]
[tex]m = -1[/tex] is your answer.
~
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Answer:
Slope (m) = -1
Step-by-step explanation:
Formula we use,
→ m = (y2 - y1)/(x2 - x1)
Now required slope will be,
→ (y2 - y1)/(x2 - x1)
→ (7 - 1)/(-5 - 1)
→ 6/(-6)
→ -1 => {Slope}
Therefore, the slope is -1.
In April, Anthony's shop made a daily profit of $400 in 12 days and a daily loss of $300 in the rest of the month. It is given that his shop opened every day in April. Find the average daily profit or loss of Anthony's shop in April.
please use directed numbers to solve
The average daily loss of Anthony's shop in April is $20.
How is the average daily loss determined?The average daily loss is the total net profit (loss) divided by the number of days in April.
An average is the mean of the value in a data set, which is determined as the quotient between the total value and the number of items.
Days in April = 30
Daily profit in 12 days = $400
Daily loss in 18 days (30 - 12) = $300
Total daily profit = $4,800 ($400 x 12)
Total daily loss = $5,400 ($300 x 18)
Net daily loss = $600 ($5,400 - $4,800)
Average daily loss = $20 ($600/30)
Thus, in April, Anthony's shop incurred an average daily loss of $20.
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When solving x² - 10x-13-0 by completing the square, which equation is a step in the
process?
1) (x - 5)² = 38
2) (x - 5)² = 12
3) (x-10)² = 38
4) (x-10)² = 12
Answer:
1)
Step-by-step explanation:
[tex] {(x - 5)}^{2} = 38[/tex]
The required step solving the equation using Completing the square method is (x - 5)² = 38.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the Equation: x² - 10x-13 = 0
Now, half the coefficient of x and add and subtract the square of the half of the coefficient of x.
So, x² - 10x-13 = 0
x² - 10x-13 -5² + 5² = 0
(x - 5)² - 25 - 13 = 0
(x-5)² -38= 0
(x - 5)² = 38
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16. If an object moves around a circle of radius r at constant speed v, it has an acceleration towards the center of the circle, of magnitude: 7"
If an object moves around a circle of radius r at constant speed v, it has an acceleration towards the center of the circle, of magnitude: 7",, the magnitude of the acceleration towards the center of the circle is:
a = v^2/r
The acceleration of an object moving around a circle at constant speed is not constant. The magnitude of the acceleration is equal to the square of the speed, divided by the radius of the circle. Therefore, the magnitude of the acceleration towards the center of the circle is:
a = v^2/r
An object moving around a circle of radius r at constant speed v experiences an acceleration towards the center of the circle. This acceleration is known as centripetal acceleration, and is equal to the square of the speed, divided by the radius of the circle. Mathematically, this can be expressed as a = v^2/r. Therefore, the magnitude of the acceleration towards the center of the circle is equal to v^2/r.
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A farm is rectangular with an area of 5/8 square miles. If the length
of the farm is 1/9 miles, what is its width? Answer with a fraction in
simplest form.
Answer:
45/8 or 5 5/8
Step-by-step explanation:
5/8 divided by 1/9 - 5/8 x 9/1
Answer:
5 5/8
Step-by-step explanation:
Math and stuff I dunno
explain how to graph the given piecewise-defined function. be sure to specify the type of endpoint each piece of the function will have and why.
The endpoint of each piecewise-defined function is obtained.
Explain the piecewise-defined function?A function that is defined by many sub-functions, each of which applies to a specific interval of the main function's domain, is known as a piecewise-defined function (also known as a piecewise function or even a hybrid function) (a sub-domain).The stated function is-
-x + 3 ; x < 2
3 ; 2 ≤ x < 4
4 - 2x ; x ≥ 4
Due to x being bounded, the graph of f(x) = -x + 3 is drawn for x smaller than 2.Because x is bounded (greater than or equal to 2, but less than 4), the graph of f(x) = 3 is drawn.For x higher than or equal to 4, the graph of f(x) = 4 - 2x is drawn since x is bounded.For greater clarity, see the graph that is attached.
Purple is the representation of f(x) = -x + 3.Orange is a representation of f(x) = 3.Green represents the equation f(x) = 4 - 2x.To know more about the piecewise-defined function, here
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The complete question is-
Explain how to graph the given piecewise-defined function. Be sure to specify the type of endpoint each piece of the function will have and why. f(x) = StartLayout enlarged left-brace 1st Row 1st column negative x + 3, 2nd column x less-than 2 2nd row 1st column 3, 2nd column 2 less-than-or-equal-to x less-than 4 3rd Row 1st column 4 minus 2 x, 2nd column x greater-than-or-equal-to 4 EndLayout
If f(x)=x²-2 and g(x)=x-3, what is (fog)(x)?
O (fog)(x) = x² +7
(fog)(x)=x²-6x+7
O (fog)(x)=x²-3x+7
O (fog)(x)=x²-5
Answer:
The correct answer is (fog)(x) = x² - 6x + 7.
To evaluate (fog)(x), you first need to find g(x) and then substitute the result into f(x).
g(x) = x - 3
So, (fog)(x) = f(g(x)) = f(x - 3) = (x - 3)² - 2 = x² - 6x + 9 - 2 = x² - 6x + 7.
I hope this helps! Let me know if you have any other questions.
Step-by-step explanation:
SELF EXPLANATORY
Answer:
[tex](f \circ g)(x)=x^2-6x+7[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=x^2-2\\g(x)=x-3\end{cases}[/tex]
Function composition is an operation that takes two functions and produces a third function.
The given composite function (f o g)(x) means to substitute the function g(x) in place of the x in function f(x):
[tex]\begin{aligned}(f \circ g)(x)&=[g(x)]^2-2\\&=(x-3)^2-2\\&=x^2-6x+9-2\\&=x^2-6x+7\end{aligned}[/tex]
you are selling tickets for a high school play. student tickets cost $4 and general admission tickets cost $6. you sell 31 tickets and collect $170. write the system of equations that could be used to determine the number of student tickets, s, and the number of general admission tickets, g, were sold for the high school play. how many student tickets did you sell?
As tickets are selling for a high school play. student tickets cost $4 and general admission tickets cost $6 and sell 31 tickets and collect $170.
Therefore, the system of equation is
8$4 + 23$6 = $32 + $138 = $170 total
A system of equations is a set of one or more equations with many variables. A solution to a system of equations is a variable map such that all component equations are satisfied. That is, the point where all those equations intersect.
Given that :
Ticket cost = $ 4 and $6
and collection = $170.
Now,
4S+6G = 170 ------------------------ (1)
S+G = 31 ----------------------- (2)
Therefore, subtract from 1st equation to eliminate one variable:
4S+ 4G = 124 ----------------------------- (3)
Now,
2G = 46
⇒ G = 23 tickets
putting G = 23 in equation(2)
S = 31-23
= 8 student tickets
The system of equation is:
8$4 + 23$6 = $32 + $138
= $170 total
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How much more is Rs. 5000 including 13% VAT on it than Rs. 5500.
When 13% VAT is levied on Rs 5000, the total price becomes Rs. 5650. This amount is Rs. 150 more than Rs. 5500.
VAT refers to value-added tax, a flat consumption tax levied on goods and services. It is most commonly charged in the countries of the EU. VAT is calculated by multiplying the percentage given by the original price.
VAT amount = percentage × original price
= 13% × 5000
= Rs. 650
We must add the VAT amount to the original amount to get the total price.
= 5000 + 650
= Rs. 5650
The difference in Rs. 5000, including 13% VAT from Rs. 5500, can be found by subtracting the lower amount from the larger amount.
= 5650-5500
= Rs. 150
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How would you express the formula E3 + E4 in the form of an absolute cell address? would represent the same formula written using absolute cell addresses.
$E$3+$E$4
E3$+E4$
E$3+E$4
$(E3+E4)
$3$E+$4$E
The formula E3 + E4 can b expressed in the form of absolute cell address, that is option (a) $E$3+$E$4
The given formula is
E3 + E4
In the absolute cell address the coordinates of the column and row will be constant while copying a formula from one cell to the other. Here we use the dollar sign "$" before the coordinates of the column and row to correct them.
The given formula is E3 + E4
The E is the name and 3 and 4 are the coordinates of the column and row
The absolute cell address = $E$3+$E$4
Therefore, the absolute cell address of the given formula is $E$3+$E$4
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reliability is part 2 a. the probability that a machine part or product will function properly for a specified time under stated conditions. b. improving individual components with maintenance.
Maintenance tactics include providing redundancy.
This is the correct answer (B).
Now, According to the question:
Let's know:
Probability:- It is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
B. Maintenance tactics include providing redundancy.
This is the correct answer (B).
The complete question is this:
Which of the following statements is NOT true?
A. Good maintenance and reliability management enhances a firm's performance and protects its investment.
B. Maintenance tactics include providing redundancy.
C. Reliability is the probability that a machine part or product will function properly for a specified time under stated conditions.
D. Maintenance includes all activities involved in keeping a system's equipment in working order.
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Solve the inequality.
a-2>4
The solution is
Graph the solution.
-14 -12
-10
1
-8
-6
-4 -2 0
−2
AL
4
6
+8
8
10
12
14
The solution to the given inequality is; a > 6
How to solve Inequality problems?The given inequality is;
a - 2 > 4
Now, to start to solve this, we add 2 to both sides of the inequality using addition property of equality to get;
a - 2 + 2 > 4 + 2
a > 6
Now, the inequality when shown on a line plot is as attached and it shows that the arrow points to the right hand side.
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PLEASE HELP
Write and solve the inequality that represents negative one third is greater than or equal to the product of negative two fifths and a number.
negative one third is greater than or equal to negative two fifths y where y is greater than or equal to negative five sixths
negative one third is greater than or equal to negative two fifths y where y is greater than or equal to five sixths
negative two fifths is greater than or equal to negative one third y where y is less than or equal to negative two fifteenths
negative two fifths is less than or equal to negative one third y where y is greater than or equal to two fifteenths
Negative one third is greater than or equal to negative four fifths y where y is greater than or equal to five twelfths
What is inequality?
A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
From the text given in this problem, we build the inequality, and then solve it. Also,
Negative one fifth is -1/5.The product of negative two thirds and a number is -2/3x, as the number is unknown, hence we call it x.Given:
-1/3≥ (-4/5) * y
-1/3*(-5/4) ≤ y
5/12≤y
Hence, negative one third is greater than or equal to negative four fifths y where y is greater than or equal to five twelfths.
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Find the slope of the line that passes through M(3, 5) and N(2. 6).
slope is 6-5/2-3 = - 1.....
Answer: -1
Step-by-step explanation:
Challenge The price of Stock A at 9 AM. was $14.62. Since then, the price has been increasing at the rate of $0.13 each hour. At noon the price of Stock B was $15.37. It begins to decrease at the rate
of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
After 2.68 hours the price of both stocks be the same.
What is stock?A stock denotes an investment to the public company. The term stock is used to confirm the certificate of all shareholders who invested for a large company.
What is stock price?The word stock price refers the current value or market price. price can be dropped or extended or remain the same.
Given, The price of stock A at 9AM =$14.62
since then, this price start increasing $0.13 per hour
At noon the price of Stock B =$15.37
since then, this price start decreasing $0.15 per hour
let, it takes x hours that the prices of both stocks become equal.
after x hour the stock A become $14.62+$0.13x
after x hours the stock B become $15.37-$0.15x
as per given statement, 14.62+0.13x = 15.37-0.15x
solving equation, we get x=2.68
hence, after 2.68 hours the price of both stocks be the same.
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Answer:
1 2/7 hours (after noon)
Step-by-step explanation:
You want to know how long after noon two stocks will have the same price if A was $14.62 at 9 a.m. and increasing $0.13 per hour, while B was $15.37 at noon and decreasing $0.15 per hour.
SetupIf x represents hours after midnight, the price of stock A can be described by ...
A = 14.62 +0.13(x -9)
and the price of stock B can be described by ...
B = 15.37 -0.15(x -12)
SolutionThe two prices will be the same when ...
A = B
14.62 +0.13(x -9) = 15.37 -0.15x -12 . . . . . substitute for A and B
0.13x +13.45 = -0.15x +17.17
0.28x = 3.72 . . . . . . . . . add 0.15x-13.45
x = 3.72/0.28 = 13 2/7 . . . . . . hours after midnight
To find the number of hours after noon, we need to subtract 12 from this number. 13 2/7 -12 = 1 2/7
The two stocks will be the same price after 1 2/7 hours.
__
Additional comment
That's about 1:17 p.m.
The wording "in how many hours" is a bit ambiguous, since there are two different time references given in the problem. We assume we want hours after the later time reference, noon.
a cook uses 1 3/4 teaspoons if salt to make 3 1/2 pounds of pasta. what is the unit rate in teaspoons per pound , at which the cook uses salt to make pasta?
The unit rate in teaspoons per pound would be 1/2 teaspoons per pound.
What is the unit rate?
A unit rate means a rate for one or something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
The number of teaspoons:
[tex]=1\frac{3}{4}\\\\=\frac{4+3}{4}\\\\=\frac{7}{4}[/tex]
Amount of pasta:
[tex]=3\frac{1}{2}\\\\=\frac{6+1}{2}\\\\=\frac{7}{2}[/tex]
Now the unit rate = number of teaspoons/ amount of pasta
[tex]=\frac{7/4}{7/2}\\\\=\frac{1}{2}\\[/tex]
Hence, the unit rate in teaspoons per pound would be 1/2 teaspoons per pound.
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Answer:
Step-by-step explanation:
1/2
50 POINTS PLEASE HELP
Write quadratic functions given three points in a plane
1) Find the equation for the parabola using the linear system (pictured)
2) Write three equations using three ordered pairs
3) Write the linear system
4) Solve the system using substitution then elimination, show all work and steps
5) List the three parameter values
6) Write the quadratic equation
The resulting quadratic equation that represents the parabola is y = 2 · x² - 7 · x - 4.
How to determine the quadratic equation that represents a parabola
In this problem we find the representation of a parabola. Parabolae are always represented by quadratic equations, that is, polynomials of the form:
y = a · x² + b · x + c
Where:
x - Independent variable.y - Dependent variable.a, b, c - Real coefficients.First, write the coordinates of the three points highlighted on Cartesian plane:
(x₁, y₁) = (- 1, 5), (x₂, y₂) = (0, - 4), (x₃, y₃) = (4, 0)
Second, create a system of linear equations based on the three points and the equation of the parabola:
a - b + c = 5
c = - 4
16 · a + 4 · b + c = 0
Third, solve the system of linear equations:
Step 1 - Second equation:
c = - 4
Step 2 - Second equation in the first and third equations:
a - b = 9
16 · a + 4 · b = 4
Step 3 - Clear a in the first equation on Step 2:
a = 9 + b
Step 4 - Substitute a in the second equation on Step 2:
16 · (9 + b) + 4 · b = 4
144 + 20 · b = 4
20 · b = - 140
b = - 7
Step 5 - By the equation on Step 3:
a = 9 - 7
a = 2
Fourth, write the solution of the system of linear equations:
(a, b, c) = (2, - 7, - 4)
Fifth, write the resulting quadratic equation:
y = 2 · x² - 7 · x - 4
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solve for x multiple choice
Answer:
12
Step-by-step explanation:
Using the side splitter theorem, [tex]\frac{x}{32}=\frac{9}{24} \implies x=12[/tex].
Michael finished â…" of a bag of candy in 3 days. at this rate, how long will it take him to eat the entire bag of candy?
Answer:
3 days.
Step-by-step explanation:
The first sentence states that Michael ate a whole bag in 3 days. That's how long it will rtake him to eat a bag of candy, assuming it is the same size and tastiness as the first.
Is the converse of the statement valid?
If x is even, then x + 4 is even.
O Yes. If x + 4 is even, then x is even.
Yes. If x is even, then x + 4 is odd.
O
O
No. If x is even, then x + 4 is even.
O No. If x + 4 is even, then x is even.
The valid converse of the statement is, Yes. If x + 4 is even, then x is even. If x is even, then x + 4 is even.
Define converse.A conditional statement's opposite is produced when the hypothesis and conclusion are switched around. The converse statement is known as p⇒ q in geometry. In logic and mathematics, the reverse of a categorical or implicational statement is the outcome of reversing its two constituent statements, and it is denoted by the symbol q⇒ p. The opposite of the implication P ⇒ Q is Q P. The inverse of the categorical assertion All S are P is that All P are S.
Given,
If x is even, then x + 4 is even.
The valid converse of the statement is,
Yes. If x + 4 is even, then x is even.
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