Option A
Commutative property of addition states that order of the addends does not affect the sum
Solution:
The commutative property of addition tells us that it does not matter which number we add first , We will still get the same answer if we add them backwards
This property is represented as:
For two numbers a, b:
a + b = b + a
In case of three numbers a, b, c:
a + b + c = c + b + a = b + a + c
So no matter how the addends are placed, the result of the operation (sum) remains the same
For example:
When we are adding 4 and 5
4 + 5 = 9 or 5 + 4 = 9 both the ways the result remains same
Thus Commutative Property of Addition states that changing the order of addends does not change the sum
Answer:
Commutative property of addition
Step-by-step explanation:
According to the commutative property of addition, changing the order of the numbers we are adding, does not change the sum.
Good luck, your day will be awesome!
Can someone please help me answer this question, I am stuck on this question
Step-by-step explanation:
The answer will be 380 inches as of what I have done
A truck can carry a maximum of 1350 ponds of weight .how many 250- pound of dirt can the truck hold
Answer:
5.4
Step-by-step explanation:
1350/250=5.4
Final answer:
A truck with a maximum capacity of 1350 pounds can carry 5 full 250-pound loads of dirt, as partial loads cannot be accommodated.
Explanation:
How many 250-pound loads of dirt can a truck carry?
To determine how many 250-pound loads of dirt a truck can carry if its maximum capacity is 1350 pounds, you need to divide the truck's maximum capacity by the weight of one load of dirt:
1350 pounds ÷ 250 pounds per load = 5.4 loads
Since the truck cannot carry a fraction of a load, it can carry a maximum of 5 full 250-pound loads of dirt before it reaches its weight limit.
Identify the values that create ordered pairs that are solutions to the equation 3x-5y=20
(5,y1) and (x2,2) PLZ HELP!!!!
Answer:
(5,-1)
(10,2)
Step-by-step explanation:
The given equation is 3x - 5y = 20 ........ (1)
Now, putting x = 5, in equation (1) we get,
15 - 5y = 20
⇒ 5y = - 5
⇒ y = - 1
So, the ordered pair (5,-1) is a solution of the equation (1).
Now, putting y = 2, in equation (1) we get,
3x - 10 = 20
⇒ 3x = 30
⇒ x = 10
So, the ordered pair (10,2) is a solution of the equation (1). (Answer)
if the price of a hamburger increased from $3.50 to $4.20 what is the percentage increase in price
Answer:
Percent increase: 20%
Step-by-step explanation:
1. 4.2-3.5 x 100=20%
3.5
2. Percent increase: 20%
The percentage increase in the price of a hamburger from $3.50 to $4.20 is a 20% increase. This is calculated by dividing the increase in price by the original price and then multiplying by 100.
Explanation:To calculate the percentage increase in the price of a hamburger that went from $3.50 to $4.20, we first find the absolute increase by subtracting the original price from the new price.
The absolute increase is $4.20 - $3.50 = $0.70.
To find the percentage increase, we then divide the absolute increase by the original price, which gives us $0.70 / $3.50 = 0.2.
Finally, to express this as a percentage, we multiply by 100, resulting in a 20% increase in the price of the hamburger.
Find the value of x by filling the blanks in the provided statement-reason solutions
WILL NAME BRAINLIEST NEED by 12:40 pm right now it’s 12:30 where I am
Answer:
1][tex]measure\ angle\ DCA=measure\ angle\ CAB=18\ degree[/tex]
2][tex]measure\ angle\ A+measure\ angle\ B+measure\ angle\ C=180\ degree[/tex]
3][tex]18\ degree+3x+3x=180\ degree[/tex]
4][tex]x=27[/tex]
Step-by-step explanation:
Given:-measure angle DCA = 18 degree
line AB II line DC
Solution:-
1] measure angle DCA and measure angle CAB are interior alternate angles and interior alternate angles are equal.
[tex]measure\ angle\ DCA=measure\ angle\ CAB=18\ degree[/tex]------------------ (Equation 1)
Therefore the equation for statement number 1 is [tex]measure\ angle\ DCA=measure\ angle\ CAB=18\ degree[/tex]
2]Sum of interior angles of triangle is equal to 180 degree.
In Triangle ABC,
measure angle A+measure angle B+measure angle C=180 degree
Therefore the equation for statement number 2 is measure angle A+measure angle B+measure angle C=180 degree
3] In Triangle ABC,
[tex]measure\ angle\ B=3x---------------(Given)[/tex]
[tex]measure\ angle\ C=3x---------------(Given)[/tex]
[tex]measure\ angle\ A=18\ degree---------------(from\ equation\ [tex]measure\ angle\ A+measure\ angle\ B+measure\ angle\ C=180\ degree[/tex]
Now substituting the value of angles we get,
[tex]18\ degree+3x+3x=180\ degree-------------(Equation\ 2)[/tex]
Therefore the equation for statement number [tex]3\ is\ 18\ degree+3x+3x=180\ degree[/tex]
4] After solving the equation 2 we get,
[tex]18+3x+3x=180[/tex]
[tex]6x=180-18[/tex]
[tex]6x=162[/tex]
[tex]x=27\ degree[/tex]
Therefore value of [tex]x=27\ degree[/tex]
(SHOW WORK NEED IT BY TONIGHT! )Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
Nick, a caterer, is investing some money in equipment and employees to help grow his business. Recently he spent $47 on equipment and hired a server who makes $15 per hour. Nick is hoping to make up these expense at the next job that is scheduled, which pays a base of $54 in addition to $14 per hour that the server works. In theory, this event could pay enough to cancel out Nick's expenditures. How much would the job pay? How long would the job have to be?
The expenditures and pay would both be $_ if the job lasted for _ hours.
Let X = the number of hours the server works.
The equation for the amount Nick spends is 15x + 47
The next job pays 14x + 54
Set the equations to equal and solve for x:
15x + 47 = 14x +54
Subtract 14x from both sides:
X + 47 = 54
Subtract 47 from both sides:
X = 7
Now replace x with 7 in the second equation:
14x + 54 = 14(7) + 54 = 98 +54 = 152
The job would pay $152 and be 7 hours long.
People leaving an ice cream store were asked to name their favorite flavor of ice cream. Fifty-one people said chocolate was their favorite flavor. If 68% of the people surveyed said chocolate, how many people were surveyed?
To find the total number of people surveyed, you divide the number of people who chose chocolate (51) by the percentage that represents (0.68), resulting in 75 people surveyed.
Explanation:The question posed involves determining the total number of people surveyed based on the percentage who favored chocolate ice cream. Since 68% of the people surveyed stated that chocolate was their favorite flavor, and it is known that 51 people chose chocolate, we can set up a proportion to find the total number of people surveyed. The proportion to find the total number of respondents (let's call it x) is as follows:
0.68 x = 51
To solve for x, you would divide both sides of the equation by 0.68, which gives you:
x = 51 / 0.68
x = 75 people
Therefore, the total number of people surveyed was 75.
The hypotenuse of an isosceles triangles measures 10 inches long. What is the length of one leg of the triangle?
StartFraction 10 Over StartRoot 3 EndRoot EndFraction
StartFraction 10 Over StartRoot 2 EndRoot EndFraction
10 StartRoot 2 EndRoot
10 StartRoot 3 EndRoot
Final answer:
To find the length of one leg of an isosceles right triangle with a hypotenuse of 10 inches, we use the Pythagorean theorem, which gives us a leg length of 5√2, or approximately 7.071 inches. The correct answer choice is StartFraction 10 Over StartRoot 2 EndRoot EndFraction.
Explanation:
The student is asking about the length of one leg of an isosceles right triangle where the hypotenuse measures 10 inches long. To find the length of one leg of this triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the legs (a and b).
Since the triangle is isosceles, the lengths of the legs are equal, so we have: a = b. The theorem can be expressed as a² + b² = c², which simplifies to 2a² = c² because a = b. We know the hypotenuse (c) is 10 inches, so the equation is 2a² = 10².
Let's find a:
2a² = 10²
2a² = 100
a² = 50
a = √50
a = √(25×2)
a = √25 × √2
a = 5√2
Therefore, the length of one leg of the triangle is 5√2, which is approximately 7.071 inches. So, the correct answer is StartFraction 10 Over StartRoot 2 EndRoot EndFraction.
Perl made the following conjecture.
The sum of a multiple of 4 and a multiple of 8 must be a multiple of 8.
Red more in the image
Answer:
No, it's not a counterexample, because 48 is a multiple of 8
Step-by-step explanation:
I think like 4 x 3 + 8 x 2 = 28 is a counterexample, because 28 is not a multiple of 8.
Perl's conjecture that the sum of a multiple of 4 and a multiple of 8 must be a multiple of 8 is incorrect. In fact, the sum would definitely be a multiple of 4 but not necessarily a multiple of 8, since the sum of integers multiplied by 4 does not guarantee that it's a multiple of 8.
Explanation:The subject of this question is Mathematics, specifically dealing with number theory and the properties of multiples and factorization. Perl's conjecture is that the sum of a multiple of 4 and a multiple of 8 must be a multiple of 8. We can examine this by understanding how multiples work.
A multiple of 4 can also be considered as 4n, where n is an integer. Similarly, a multiple of 8 is 8m, where m is integer. If we add both, we get 4n+8m. Now, as per distributive property of multiplication over addition, the expression becomes 4n+4(2m), which can be further simplified as 4(n+2m).
We can now see that the sum is actually 4 times the sum of some integer, so it must indeed be a multiple of 4. However, since it's not necessarily the case that 'n+2m' itself is a multiple of 2, we cannot say that the overall sum is guaranteed to be multiple of 8.
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The sum of a number and six is multiplied by negative four. The result is eight.
What is the number?
Answer:
-8
Step-by-step explanation:
(-8+6) * -4
-2 * -4= 8
Final answer:
The unknown number is -8, found by setting up the equation -4(x + 6) = 8 and solving for x.
Explanation:
To solve the problem stated, we need to set up an equation based on the provided information. The statement 'the sum of a number and six is multiplied by negative four' can be written as an algebraic expression: -4(x + 6), where 'x' is the unknown number we are trying to find.
We are told that this expression equals eight, so the equation we need to solve is -4(x + 6) = 8.
To solve for x, first we simplify the equation:
-4x - 24 = 8
Then we add 24 to both sides:
-4x = 8 + 24
-4x = 32
Now we divide both sides by -4 to solve for x:
x = 32 ÷ -4
x = -8
Therefore, the number we are looking for is -8.
What is the area of quadrilateral QRST if QS=18 and RT=24. Show work.
Answer:
[tex]\text{Area of quadrilateral QRST}=216[/tex]
Step-by-step explanation:
Please find the attached image for the quadrilateral QRST.
We have been given that [tex]QS=18 \text{ and } RT=24[/tex]. We are asked to find the area of quadrilateral QRST.
Upon looking at the image of quadrilateral QRST, we can see that quadrilateral QRST is a kite as it has one pair of diagonally opposite equal angles (98 degrees).
We know that area of kite is equal to half the product of its diagonal.
We can see from our image that QS and RT are diagonal of kite, so the area of quadrilateral QRST would be:
[tex]\text{Area of quadrilateral QRST}=\frac{QS\cdot RT}{2}[/tex]
[tex]\text{Area of quadrilateral QRST}=\frac{18\cdot 24}{2}[/tex]
[tex]\text{Area of quadrilateral QRST}=\frac{432}{2}[/tex]
[tex]\text{Area of quadrilateral QRST}=216[/tex]
Therefore, the area of quadrilateral QRST is 216 square units.
Evaluate BD fo A = 5, B = -2, C = 4, and D = -6.
-12
-8
8
12
Answer:
12
Step-by-step explanation:
B is equal to -2, and D is equal to -6. A negative times a negative is a positive, and 2 x 6 = 12 (aka 6+6)
what is the sum of a 7-term geometric series if the first term is -6, the last term is -24576, and the common ratio is 4?
Answer:
The sum of the first seven terms of this geometric series is - 32,766
Step-by-step explanation:
Let's find out the result of the sum of a 7-term geometric series, which first term is -6, the last term is -24576, and the common ratio is 4
1st term = - 6
2nd term = - 6 * 4 = - 24
3rd term = - 24 * 4 = - 96
4th term = - 96 * 4 = - 384
5th term = - 384 * 4 = - 1,536
6th term = - 1,536 * 4 = - 6,144
7th term = - 6,144 * 4 = - 24,576
Sum = - 24,576 - 6,144 - 1,536 - 384 - 96 - 24 - 6
Sum = - 32,766
We can summarize these operations of the geometric series, this way:
Sₙ= a₁ * (1 − rⁿ)/1 − r, where:
n = Number of terms of the series
a₁ = First term of the series
r = Common ratio
Replacing with the real values, we have:
S₇= -6 * (1 −4⁷)/1 - 4
S₇= -6 * (1 − 16,384)/ -3
S₇= -6 * ( − 16,383)/ -3
S₇= 98,298/ -3
S₇= - 32,766
The sum of the first seven terms of this geometric series is - 32,766
Find the equation of a circle with a center of(5, 7) where a point on the circle is (10, 19)
Answer:
(x - 5)² + (y - 7)² = 169
Step-by-step explanation:
The standard form of the equation of a circle is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (5, 7), thus
(x - 5)² + (y - 7)² = r²
The distance from the centre to a point on the circle is the radius
Calculate the radius using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (5, 7) and (x₂, y₂ ) = (10, 19)
r = [tex]\sqrt{(10-5)^2+(19-7)^2}[/tex]
= [tex]\sqrt{5^2+12^2}[/tex]
= [tex]\sqrt{25+144}[/tex] = [tex]\sqrt{169}[/tex] = 13, hence
(x - 5)² + (y - 7)² = 169 ← equation of circle
The scores on the Unit 1 Exam are listed below. What is the probability that a student picked at
random scored 75% or above?
61 74 60 70 83 90 90 80 100 102 28 75 98 21 49
car ofaenorting goods store was analyzing a frequency tahle identifving the number of
To calculate the probability of a student scoring 75% or above, count how many scores are 75 or higher, and then divide by the total number of scores. In this case, the probability is 6 out of 15, or 0.4.
The question asks about the probability that a student picked at random scored 75% or above based on a list of exam scores.
To find this probability, one must count the number of scores that are 75% or higher and divide by the total number of scores.
Out of the provided scores (61, 74, 60, 70, 83, 90, 90, 80, 100, 102, 28, 75, 98, 21, 49), we see that there are 6 scores that are 75 or above (83, 90, 90, 80, 100, 102, 98, 75).
Since there are 15 scores in total, the probability is calculated as -
= 6/15
= 0.4.
simplify (-8.5)(-5)( -2).
Answer:
-85
Step-by-step explanation:
Answer:
-85
Step-by-step explanation:
the rayhills are buying new windows for their house the company installs the new windows for 3,325 total cost for buying the windows and having them installed is 7,699.25 if the rayhills pay 230.25 per window how many windows did they buy
Answer:
Step-by-step explanation:
buying the windows and having them installed costs $ 7699.25
installation alone costs 3325
therefore, the cost of the windows is : 7699.25 - 3325 = 4374.25
and if they are paying 230.25 per window, then there is
4374.25 / 230.25 = 18.997 windows
let me check something...
18 * 230.25 = 4144.50
19 * 230.25 = 4374.75
if ur numbers are written correctly, they can only buy 18 windows.....they would be short 50 cents from buying 19 windows
To determine the number of windows the Rayhills purchased, the total cost minus the installation cost was divided by the cost per window, leading to an estimate of approximately 19 windows.
To find out how many windows Rayhills bought, we need to subtract the installation cost from the total cost and then divide the result by the cost per window. The total cost of buying the windows and having them installed is $7,699.25, and the company charges $3,325 for the installation. If each window costs $230.25, we can calculate the number of windows as follows:
Subtract the installation cost from the total cost: $7,699.25 - $3,325 = $4,374.25.Divide the remaining amount by the cost per window: $4,374.25 / $230.25.Now let's perform the division:
$4,374.25 / $230.25 ≈ 19 windows (rounded to the nearest whole number since you can't buy a fraction of a window).
Therefore, the Rayhills bought approximately 19 windows.
Add. –5 + –3 = ____
–8
–2
2
8
Answer:
A) -8
Step-by-step explanation:
-5+(-3)=-5-3=-8
Which expressions are equivalent to 5^2/5^8
The equivalent expressions to [tex]5^2/5^8[/tex] are [tex]5^(^-^6^)[/tex] and [tex]\frac{1}{5^6}[/tex]
How to find the equivalent expressions?The expression[tex]5^2/5^8[/tex]can be simplified using the properties of exponents. When you have the same base raised to different exponents and they are being divided, you can subtract the exponents.
So, [tex]5^2/5^8 = 5^(^2^-^8^)[/tex] = 5^(-6).
Therefore, the equivalent expressions are [tex]5^(^-^6^)[/tex] and [tex]\frac{1}{5^6}[/tex]
In mathematics, equivalent expressions are algebraic expressions that have the same value for all possible values of the variables involved
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The expression 5^2/5^8 simplifies to 5^-6 due to the laws of exponents that allow subtracting of exponents when dividing like bases.
Explanation:The expression 5^2/5^8 can be simplified by understanding the laws of exponents. When dividing like bases, you subtract the exponent in the denominator from the exponent in the numerator. By applying this law, the expression 5^2/5^8 simplifies to 5^(2-8) which equals 5^-6.
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[tex]z = 3 + i \\ {z}^{5} = [/tex]??
Answer:
[tex]z^{5}[/tex] = - 12 + 316 i
Step-by-step explanation:
Given that -
z = 3 + i
[tex]z^{2}[/tex] = [tex]( 3 + i )^{2}[/tex]
[tex]z^{2}[/tex] = 9 + [tex]i^{2}[/tex] + 6 i
[tex]z^{2}[/tex] = 9 - 1 + 6 i
[tex]z^{2}[/tex] = 8 + 6 i
[tex]z^{3}[/tex] = [tex]z^{2}[/tex] × z
[tex]z^{3}[/tex] = ( 8 + 6 i ) × ( 3 + i )
[tex]z^{3}[/tex] = 24 + 8 i + 18 i + 6 i²
[tex]z^{3}[/tex] = 24 + 26 i - 6
[tex]z^{3}[/tex] = 18 + 26 i
[tex]z^{5}[/tex] = [tex]z^{2}[/tex] × [tex]z^{3}[/tex]
[tex]z^{5}[/tex] = ( 8 + 6 i ) × ( 18 + 26 i )
[tex]z^{5}[/tex] = 144 + 208 i + 108 i + 156 i²
[tex]z^{5}[/tex] = 144 + 316 i -156
[tex]z^{5}[/tex] = - 12 + 316 i
Find the slope of the line that passes through (1,6) and (4,4)
Rise =
Run =
Slope = -2/3
Equation (y = mx + b form):
Answer:
y=-2/3x+20/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-6)/(4-1)
m=-2/3
y-y1=m(x-x1)
y-6=-2/3(x-1)
y=-2/3x+2/3+6
y=-2/3x+2/3+18/3
y=-2/3x+20/3
multiply the following complex numbers (6+3i)(3+i)
Answer:
15i+15
Step-by-step explanation:
(6+3i)(3+i)
18+9i+6i+3i^2
18+15i+3(-1)
18+15i-3
15i+15
After multiplyinh complex numbers (6+3i)(3+i), the final answer will be 15+15i.
Explanation:To multiply complex numbers, we can use the distributive property.
First, distribute 6 to both terms of (3+i), giving us 18+6i.
Then, distribute 3i to both terms of (3+i), resulting in 9i+3i².
We can simplify 3i² by using the fact that i²=-1, so 3i²=-3.
Putting it all together, we have (6+3i)(3+i)
= 18+6i+9i-3
= 15+15i.
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(-3,-8)( -12,-20) find the slope
Answer:
4/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-20-(-8))/(-12-(-3))
m=(-20+8)/(-12+3)
m=-12/-9
m=12/9
simplify
m=4/3
In the expression below, a is an integer.
12x² + ax - 20
If 3x + 4 is a factor of the expression above, what is
the value of a ?
Answer:
Step-by-step explanation:
The required simplified value of the a is given as a = 31.
What are functions?
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
for the expression
12x² + ax + 20 = 0 (because this expression has factors)
The above expression has a factor (3x + 4)
3x + 4 = 0
x = -4 / 3
above the value of x is one of the zeroes for the given expression, so when we put it in the given expression the expression terminates to zero,
so,
f(-4/3) = 0
12(-4/3)² + (-4/3)a + 20 = 0
12×16/9 - 4a/3 + 20 = 0
-4a/3 = -20 - 64 / 3
-4a/3 = [-60 - 64] / 3
-4a = -124
a = 31
Thus, the required simplified value of the a is given as a = 31.
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Nichior compared the slope of the function graphed to the slope of the linear function that has an x-intercept of 2/3 and a y-intercept of -1. If (x) represents the function with the smaller slope, what is the slope of f(x)?
Answer:
The slope of f(x) is 1.5
Step-by-step explanation:
step 1
Find the slope of the linear function that has an x-intercept of 2/3 and a y-intercept of -1
so
we have the points
(2/3,0) and (0,-1)
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values
[tex]m=\frac{-1-0}{0-2/3}[/tex]
[tex]m=\frac{-1}{-2/3}[/tex]
[tex]m=\frac{3}{2}=1.5[/tex]
step 2
Find the slope of the function graphed
take the points
(0,-1) and (3,6) approximately
substitute in the formula
[tex]m=\frac{6+1}{3-0}[/tex]
[tex]m=\frac{7}{3}=2.33[/tex]
step 3
we know that
f(x) represents the function with the smaller slope
The smaller slope is 1.5
therefore
The slope of f(x) is 1.5
A student used the following table of values and stated that the function described by the tables was a linear function
The question is missing the table. So, it is attached below.
Answer:
The function is not linear. The student didn't evaluate the rate of change for the given points on the function.
Step-by-step explanation:
Given:
From the table, the set of points of the function are:
(-1, -5), (0, 0), (2,5), (3, 10), and (4, 15)
A function is said to be linear if the rate of change of the function is always a constant.
Rate of change for any two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here, the rate of change for the points (-1, -5) and (0, 0) is given as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{0-(-5)}{0-(-1)}\\\\m=\frac{5}{1}=5[/tex]
Now, the rate of change for the points (0, 0) and (2, 5) is given as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{5-0}{2-0}\\\\m=\frac{5}{2}=2.5[/tex]
Hence, we can observe that, the rate of change is different for the given points. Hence, it is not a linear function.
Therefore, the student didn't evaluate the rate of change for the given points on the function.
A function is linear if the difference between y-values is constant when the difference between the corresponding x-values is constant. This is known as a constant rate of change and can be identified in a table of values for an x-y relationship. However, without the actual table's values, it's impossible to confirm its linearity.
Explanation:In mathematics, a function is said to be linear if its graph forms a straight line. When analyzing a table of values, a function is linear if the difference between y-values is constant when the difference between the corresponding x-values is also constant. This is often called a constant rate of change.
For example, let's say we have an x-y table: for every 1 unit increase in x, if y increases by 2 units consistently, then the function represented by that table is linear. It directly satisfies the general definition of a linear function, y = mx + b, where 'm' is the slope (rate of change) and 'b' is the y-intercept.
However, without the actual values from the student's table, it's impossible to confirm whether the function is indeed linear. Always remember to check for a constant rate of change when reasoning about linearity.
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Sarah bought 3 fish. Every month the number of fish she has doubles. After m months, she will have F fish, where F = 3 x 2. If Sarah
keeps all of the fish and they all live, how many fish will Sarah have after 3 months?
A. 9
B. 18
c. 24
D. 27
E. 216
If Sarah keeps all of the fish and they all live, then there are 24 fishes will Sarah have after 3 months
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
Given,
Sarah bought 3 fish.
Every month the number of fish she has doubles.
After m months, she will have F fish, where F = 3 x 2m
If Sarah keeps all of the fish and they all live, We need to find number of fishes will Sarah have after 3 months
F = 3× 2m
M represents the number of months.
In start month 3 fishes
In first month the fishes are 6
In second month the fishes are 12.
In third month the fishes are 24.
Hence, If Sarah keeps all of the fish and they all live, then there are 24 fishes will Sarah have after 3 months
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George is comparing three investment accounts offering different rates.
Account A: APR of 3.75% compounding monthly
Account B: APR of 3.85% compounding quarterly
Account C: APR of 3.95% compounding daily
Which account will give George at least a 4% annual yield? (4 points)
Account A
Account B
Account C
Account B and Account C
Answer:
Account C will give George at least a 4% annual yield.
Step-by-step explanation:
This problem can be solved by using simple maths formula given below
Year rate = (1+i)^n-1
where i = compounding rate and n = interval period
Now checking annual rate for each option using above formula
Account A)
Yr = 3.8% ( n= 12 and i= 3.75/12)
Account B)
Yr = 3.9 % ( n= 4 and i= 3.85/4)
Account C)
Yr = 4 % ( n= 365 and i= 3.95/365)
22. Sue can paint a chair in 3 hours. Jerry can paint the same size chair in 2 1/2
hours. Working together, how long would it take them to paint 10 chairs?
Which expressions are equivalent to 4(-52 + 2) + (-6) ?
Choose all answers that apply:
203 - 2
2-102 + 1)
None of the above