Answer:
41.38%
Step-by-step explanation:
A= P(1+in)
7540 = 1749.28 + 13994.25i
5790.72= 13994.25i
i=0.41379×100
i=41. 38%
Which expression represents the greatest common factor (GCF) of 54 and 153?
Answer:
9
Step-by-step explanation:
Factors are numbers we can multiply together to get another number.
A common factor is one that is a factor of two (or more) numbers.
The greatest common factor (GCF) is the largest of the common factors.
There are a few ways to find the GCF. One way is to find all the factors of both numbers, then find the ones that are common to both and choose the greatest:
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54
The factors of 153 are: 1, 3, 9, 17, 51, 153
Therefore, the greatest common factor is 9.
The expression which represents the greatest common factor (GCF) of 54 and 153 is 3×3. Correct option is B.
The greatest common factor (GCF) of two numbers is the largest positive integer that divides both numbers evenly.
To find the GCF of 54 and 153, we need to determine the common prime factors of these two numbers and then multiply those factors together.
The prime factorization of 54:
= 2 × 3 × 3 × 3
= 2 × 3³.
The prime factorization of 153:
= 3 × 3 × 17
= 3² × 17.
The common prime factors of 54 and 153 are two factors of 3, so the GCF is 3 × 3, which can be written as 3².
Hence, 3 × 3 is the expression which represents the greatest common factor (GCF) of 54 and 153. Option B is correct.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ3
Complete question:
Which expression represents the greatest common factor (GCF) of 54 and 153?
(A) 2×2
(B) 3×3
(C) 2×2×2×3
(D) 2×2×2×3×1
12 percent of 9 or 9 percent of 12 should get the same answer
Fantasy has 180 oranges. She decides to give her grandma 100 oranges. How many oranges will Fantasy have left?
Answer:
80
Step-by-step explanation:
Because, when you subtract 180 to 100 and you get 80
If y(x) = 2x2 +3 and V(X)=
-
Z
what is the range of (us)x)?
(
-100
O (3.co
0 --3,3)
0 (-03,400
A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 0, 3, 4, 3, 0. Evaluate the function for an input of 0.
The function for the 2-coulmn table with 5 rows for an input of 0, which satisfy all the input and output values of table is,
[tex]f(0)=|0^2-4|\\[/tex]
How to read the data from the table?Table is a way to represent the data of the two or more variable. To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.
The linear or quadratic function, can be model with the data table.
Linear model-The the highest power of unknown variable in linear model is 1. To construct the linear model with the values given in the table, the slope of the two lines should be equal.Quadratic model-The the highest power of unknown variable in linear model is 2. To construct the quadratic model, the standard form of the quadratic equation must satisfy for all the of the data table.The 2-column table with 5 rows is given with the following data.
The first column is labeled x with entries -2, -1, 0, 1, 2.
The second column is labeled [tex]f(x)[/tex] with entries 0, 3, 4, 3, 0.
The function for the above table is,
[tex]f(x)=|x^2-4|[/tex]
For an input of 0.
[tex]f(0)=|0^2-4|\\[/tex]
Thus, the function for the 2-coulmn table with 5 rows for an input of 0, which satisfy all the input and output values of table is,
[tex]f(0)=|0^2-4|\\[/tex]
Learn more about the data table here;
https://brainly.com/question/15602982
Answer:
The answer is 4
Step-by-step explanation:
Says so on edge
A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials. What is the relative frequency of selecting a diamond?.
The relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.
What is relative frequency?The relative frequency of an event is the ratio of total number of favorable or desired outcome to the total number of trails done.
Given information-
The card is selected random from the deck of cards.
Total number of trails is 40.
It is known that the total number of diamond card in a standard deck of card is 11. There is total 40 trials is done in which a random card is selected.
As the relative frequency is the ratio of total number of diamonds to the total number of trials done. Thus,
[tex]f_r=\dfrac{11}{40}\\f_r=0.3[/tex]
In the percentage from,
[tex]f_r={0.3}\times100\\f_r=30[/tex]
Thus the relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.
Learn more about the relative frequency here;
https://brainly.com/question/26177128
Answer:
20%
Step-by-step explanation: I took the test
Sean and his sister, Betty, mow 8/9 of the total area of their lawn. If they divide the chore equally, what fraction of the total area does Sean mow?.
Answer:
[tex]\frac{4}{9}[/tex]
Step-by-step explanation:
There are two of them, so we will divide the lawn area mowed by 2.
[tex]\frac{8}{9}/\frac{2}{1}= \frac{8}{9}*\frac{1}{2}=\frac{8*1}{9*2} =\frac{8}{18} =\frac{4}{9}[/tex]
-> This also can be simplified with seeing that 8 / 2 = 4, so [tex]\frac{4}{9}[/tex], but I wanted to show the whole mathematical process.
I need help on this
Answer:
Hi ma bruddah
Step-by-step explanation:
Hi - ma - bru/dd/ah
Answer:
A.
Since it says no more than and d doesn't have that sign so yes hope this helps :D
You deposit $2,500 in an investment
account. The rate of growth is 4.55% a year.
If you make no further deposits or
withdrawals, and the investment is allowed
to grow uninhibited, how long will it take for
your investment to reach $5,000? Round to
the nearest tenth.
Answer:
22 years
Step-by-step explanation:
the rate of the increase is $113.75 a year.
4.55% of 2500 = 113.75113.75 x 21.98 = 2500.2252500.225 + 2500 = 5000So it would take if rounded 22 years to reach the goal of $5000.
Answer: The correct answer is "15.2 years"
Step-by-step explanation:
I took the test
Put this into Slope-Intercept form
x –2y = –4
Answer:
See below.
Step-by-step explanation:
x-2y=-4
*-2 *-2
x+y=8
-x -x
y=-x+8
-hope it helps
Answer:
y = 1/2x + 2⠀
The hypotenuse of a right triangle measures 16 cm and one of its legs measures 11 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
11.6cm
Step-by-step explanation:
a^2+b^2=c^2
11^2+b^2=16^2
121+b^2=256
b^2=135
b=11.6
Solve.
y = –4x + 10
y = –3x + 5
Answer:
(5, -10)
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}y=-4x+10&\\y=-3x+5\end{cases}[/tex]
Substitute the first equation into the second:
[tex]\implies -3x+5=-4x+10[/tex]
SOLVING FOR X.
Step 1: Add 4x to both sides.
[tex]\\\implies-3x+4x+5=-4x+4x+10\\\\\implies x+5=10[/tex]
Step 2: Subtract 5 from both sides.
[tex]\\\implies x+5-5=10-5\\\\\implies \boxed{x=5}[/tex]
SOLVING FOR Y.
Step 1: Substitute [tex]x=5[/tex] into any of the given equations.
[tex]\\\implies y=-4(5)+10[/tex]
Step 2: Simplify.
[tex]\\\implies y=-20+10\\\\\implies \boxed{y=-10}[/tex]
The solution to the system of equations is (5, -10).
The product of 8 and the difference of n and 3
1% off 100 =
Someone pls help
Answer:
1 ofc
Step-by-step explanation:
Think of it:
1% is pretty much [tex]\frac{1}{100}[/tex]
so the equal to that is 1
I hope this answers your question :) If you want to mark me as brainliest (its ok if not :) im just trying to get enough to unlock messages
What can you tell about a triangle when given three side lengths?
look at the graph .which is the relationship between x and y PLSSS HURRY (100 POINTS
Answer:
it is B
Step-by-step explanation:
Answer:
Option B
Step-by-step explanation:
It's a linear equation but not a parallel line to any axis
The general form is
y=mx+bm is rate of change.
Hence y is directly proportional to x if m is kept constant
So option B is correct
¿Cual es la diferencia entre ángulos suplementarios y ángulos complementarios?
Answer:
Los ángulos complementarios son dos ángulos que suman 90 grados, y los ángulos suplementarios son dos ángulos que suman 180 grados.
OR
Complementary angles are two angles that add up to be 90 degrees, and suplementary angles are two angles that add up to be 180 degrees.
ASAP!! WILL GIVE BRAINLY!
Combine the like terms to create an equivalent expression:
−3k−(−8)+2
What's the answer?
Answer:
-3k+10
Step-by-step explanation:
=> −3k−(−8)+2
=> -3k +8+2
=> -3k+10
Can someone figure out how to do this I don't know how.
Answer:
Step-by-step explanation:
g(x) = -3x - 3
To complete the table, you have to substitute the x values into the equation.
g(-5) = -3(-5) - 3
g(-5) = 15 - 3
g(-5) = 12
g(-3) = -3(-3) - 3
g(-3) = 9 - 3
g(-3) = 6
g(0) = -3(0) - 3
g(0) = 0 - 3
g(0) = -3
g(1) = -3(1) - 3
g(1) = -3 - 3
g(1) = -6
g(3) = -3(3) - 3
g(3) = -9 - 3
g(3) = -12
Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9. Enter your answers below. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Solution
Step 1: Find the slope of the line 2x−3y=9. Use a forward slash (i.e. "/") for all fractions (e.g. 1/2 for 12).
m= Answer
What would the parallel slope be?
m= Answer
Step 2: Use the slope to find the y-intercept of the parallel line.
b= Answer
Step 3: Write the equation of the line that passes through the point (4,−1) that is parallel to the line 2x−3y=9
y=________ x ___________
Line given
2x-3y=93y=2x-9y=2/3x-3Comapre to y=mx+b
Slope=m=2/3Parallel lines have equal slope
passes through (4,-1)Equation in point slope form
y+1=2/3(x-4)3y+3=2x-82x-3y-11=031/9 as a decimal. That is all I need
the answer is: 31/9=3.4444≈3.4
An isosceles trapezoid has base lengths 3.4 and 5.8. With the area of 7.36. What is the height and perimeter of the trapezoid.
Answer:
Height (h) = 1.6
Step-by-step explanation:
Area of trapezoid = [(base1+base2)/2] * height
now we sub the values in the formula
7.36 = [(3.4+5.8)/2]* h
h= (7.36*2)/(3.4+5.8)
h = 1.6
diamond is playing a game in the game she has to spin a spinner that is divided into equal sections of orange, red, purple, and pink what is the probability that on her first spin she will land on pink and then red on her second spin?
Answer:
1 out 4
Step-by-step explanation:
!!!!!!HELP ASAP!!!!!!!
An archer is shooting at targets. The height of the arrow is 5 feet above the ground. Due to safety rules, the archer must aim the arrow parallel to the ground. Write a function that represents the situation . Use h, for height ( feet) and for time (in seconds )
Answer:
The time to hit the target is simply the period the arrow gets to the target from the arch.
The time to hit the target is 0.35 seconds
9.17% to the nearest degree
Answer:
33°
Step-by-step explanation:
9.17% = 9.17/100
[tex]\dfrac{9.17}{100}*360=0.917*36=33.012[/tex]
= 33°
Answer:
33
Step-by-step explanation:
9.17÷100=0.0917/0.9170.917×36=33.012
Will name BRAINLEST!!
Determine the area of the given triangle.
Answer:
My answer is 8. I just rounded if you don't want to round just go with 7.5.
Answer:
7.5 units
Step-by-step explanation:
It is hard to explain...
36. What is the value of f(3) if f(x) = -4x + 2?
F -14
G-10
H-6
J 14
Answer:
G-10
Step-by-step explanation:
because i dont have time to expalin
Identify the solution set of 3 ln 4 = 2 ln x. {6} {-8, 8} {8}.
Answer:
x = 8
Step-by-step explanation:
3 ln 4 = 2 ln x
By using property of logarithm:
ln = ln
Cancel ln on both sides
=
64 =
x =
x = 8
The solution to the equation 3ln4 = 2lnx is {-8, 8}
Logarithmic expressionsGiven the expression
3 ln 4 = 2 ln x.
We are to find the solution for the variable "x"
Applying the rule of logarithm, the equation will become:
ln4^3 = lnx^2
4^3 = x^2
x^2 = 64
x = 8 and -8
Hence the solution to the equation is {-8, 8}
Learn more on logarithm here: https://brainly.com/question/25710806
if -2a > 6 then a < -3 true or false
Answer:
True
Step-by-step explanation:
To solve it you divide both sides by -2, which flips the inequality sign around.