Answer: 1 only have 1/3 of pans whutch mean each will get 1
Answer:
[tex]\frac{1}{9}[/tex] of the pan
Step-by-step explanation:
First, we need to divide 1/3 by 3. That way we can find how much is given to each person.
[tex]\frac{1}{3}[/tex] divided by 3
= [tex]\frac{1}{3}[/tex] * [tex]\frac{1}{3}[/tex]
= [tex]\frac{1}{9}[/tex]
Each friend will get [tex]\frac{1}{9}[/tex] of the pan.
Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $51,800?
Answer:
3.8 months
Step-by-step explanation:
Question: Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $51,800?
First step! What is 5.3% of 36k?
1,908
Second Step! Divide
51,800/1,908= 27.1488469602
Third Step! Round
27.1488469602= 27.1
27.1 weeks.
7 weeks in a month.
12 months in a year.
27.1/7= 3.8
3.8 months
The number of years for the amount of compound interest to reach $51,800 is given by b = 7 years
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the number years be represented as b
where the amount after b years is = $ 51,800
The initial principal amount P = $ 36,000
The number of times the compound interest is applied = quarterly = 4
Now , the equation is
A = P ( 1 + r/n )ⁿᵇ
On solving for the number of years b , we get
b = ln ( A / P ) / n [ ln ( 1 + r/n ) ]
b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln ( 1 + 0.053/4 ) ] )
On further simplification , we get
b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln (1 + 0.01325 ) ] )
b = 6.911 years
On rounding to the nearest year , we get
b = 7 years
Therefore , the value of b is 7 years
Hence , the number of years is 7 years
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A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle.
True or false??
Given:
The given statement is "A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle."
To find:
Whether the given statement in true or false.
Solution:
Area of circle is
[tex]A=\pi r^2[/tex]
Where, r is the radius of the circle.
Let [tex]r_1[/tex] be the radius of the original circle. So, the area of the circle is
[tex]A_1=\pi (r_1)^2[/tex]
The circle is dilated by a scale factor of 1.5 to create a new circle. So, the radius of the new circle is:
[tex]r_2=1.5r_1[/tex]
The area of the new circle is
[tex]A_2=\pi (r_2)^2[/tex]
[tex]A_2=\pi (1.5r_1)^2[/tex]
[tex]A_2=2.25\pi (r_1)^2[/tex]
[tex]A_2=2.25A_1[/tex]
The area of the new circle is 2.25 times the area of the original circle.
Therefore, the given statement is false.
Derek earns $ 4800 in 3 months. what is his annual income
Answer: Annual Income Is $192000
Step-by-step explanation:
firstly know one month income we divide by 48000 by 3
= 16000
we know one month income 16000
than we for know annual income we multiply by 12
16000×12 =192000
annual income is $192000
can someone plz help with this? geometry:)
Answer:
One property of rectangles is that the diagonals of rectangles bisect each other, meaning 2 of JN is equal to JL.
We can form an equation off of this, 2(x+3) = 3x + 1 and then solve for x
2(x+3)= 3x + 1 First, distribute the 2 to each term in x+3,
the result should be:
2x + 6 = 3x+ 1 then subtract 2x from both sides
-2x -2x
the result should be :
6 = x + 1 subtract 1 from both sides
-1 -1
the result should be x=5
plug that into the equations and JN= 5+3, JL=15+1
The two correct options are
NM = 8 ( both of the diagonals are equal to eachother )
JL = 16
Find the volume. Round your answer to the nearest tenth and show your work
Find y. Give your answer in
the simplest form.
y =
Enter the number that belongs in the green box.
Answer:
y = 8 root 2
Step-by-step explanation:
Since it is a 90-45-45 triangle, y is s root 2
s = 8
so, y = 8 root 2
Answer:
y=8√2
Step-by-step explanation:
Because 2 of the angles are the same, the triangle is isosceles (because of base angles theorem). Therefore, x=8. Using Pythagoras theorem, y=8√2.
Find the missing part.
Answer:
15
Step-by-step explanation:
9/6=x/10
why? they segments are similar
How many solutions does -6p + 7 = 7 -6p
have?
Answer:
Infinitely Many Solutions
Step-by-step explanation:
1. Since both sides equal, there are infinitely many solutions.
1+1
(You don't have to answer its for talking)
Answer:
Step-by-step explanation:
1 +1 = 2 g a y n i g g a s
A parallelogram whose sides are all the same length
Answer:
a square
Step-by-step explanation:
a square is a parallelogram whose sides are all the same length
Answer:
square
Step-by-step explanation:
a square has 4 sides with all the same length
i need help hurryyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answer:
The angle x, has the measurement of 40°
Step-by-step explanation:
Step 1: Define complementary angles
Complementary Angles: Two angles are complementary when the sum of them is equal to 90°. For example, 30° and 60° are complementary because they add up to 90°.
Step 2: Figure out the complementary angle
Since ∠ABD and ∠DBC are complementary, that means that they should add up to 90°. Since the angle value of ∠ABD is 50°, that means that the angle value of ∠DBC should be 90° - 50° = x.
90° - 50° = x
40° = x
Answer: The angle x, has the measurement of 40°
h(1)= 9
h(n)=h(n−1)⋅(-3)
Find an explicit formula for h(n).
h(n)= ?
Given:
[tex]h(1)=9[/tex]
[tex]h(n)=h(n-1)\cdot (-3)[/tex]
To find:
The explicit formula for h(n).
Solution:
We have,
[tex]h(n)=h(n-1)\cdot (-3)[/tex] ...(i)
It is the recursive formula of a geometric sequence. It is of the form
[tex]a(n)=a(n-1)\cdot r[/tex] ...(ii)
where r is the common ratio.
On comparing (i) and (ii), we get
[tex]r=-3[/tex]
We have, [tex]h(1)=9[/tex] so the first term of the geometric sequence is [tex]a=9[/tex].
The explicit formula for a geometric sequence is:
[tex]h(n)=ar^{n-1}[/tex]
Substitute a=9 and r=-3 to get the explicit formula for the given sequence.
[tex]h(n)=9(-3)^{n-1}[/tex]
Therefore, the required explicit formula is [tex]h(n)=9(-3)^{n-1}[/tex].
Here's what Gabriel and Kayla actually wrote.
Gabriel: 3x + 6
Kayla: 3(x+2)
These expressions are equivalent.
What do you think that means?
Answer:
Step-by-step explanation: equivalent means equal to, so that means these expressions are equal :)
but there are a lot of creeps here" :(
Step-by-step explanation:
Use the number line to show and explain why 4/10 ÷ 2 and 4/10 × 1/2 both equal 2/10
Step-by-step explanation:
When you divide by a number, you basically are multiplying by the reciprocal
The reciprocal of 2 is 1/2
4/10 ÷ 2 = 4/10 × 1/2 = 2/10
4/10 × 1/2 = 2/10
Using a number line,
Start at 4/10 and move down by 2 until you reach 0
Start at 4/10 and move up by 1/2 from 0 until you reach 4/10
(Count the number of humps)
Both will be the same
HELP!!
Which of the following statements is TRUE if angle 4 has a measure of 127°?
А
<1 = 53°
B
<2 = 53°
с
<3 = 127
D
<3 = 180°
HELP!!
Answer:
A
angle 1 + angle 4 is equal to 180
if angle 4 = 127, angle 1 must equal 53
Step-by-step explanation:
Find the measure of Angle A in the image below:
142°
А
Answer:
38
Step-by-step explanation:
180-42
Answer:
38
Step-by-step explanation:
A + 142 = 180 {Linear pair}
A = 180 - 142
A = 38
24-4x=2x
show your work, will mark brainliest
Answer:
x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
24−4x=2x
24+−4x=2x
−4x+24=2x
Step 2: Subtract 2x from both sides.
−4x+24−2x=2x−2x
−6x+24=0
Step 3: Subtract 24 from both sides.
−6x+24−24=0−24
−6x=−24
Step 4: Divide both sides by -6.
−6x /−6 = −24 /−6
x=4
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the linear equations.
==> 24-4x=2x
==> 24 = 2x+4x
==> 24 = 6x
===> x = 24/6
===> x = 4
PLS I NEED HELP QUICKLY
Answer:
b + b + h + h and since you have two of each you can say 2b + 2h.
solve this equation for y, y=x-4
Answer:
It’s already solved for y
y = x - 4
Step-by-step explanation:
If it’s for x, X = y + 4
After a 2 1/2 hour rainstorm, there are 5 inches of water in a bucket outside. What is the rate per inch?
Answer:
2 inches per hour
Step-by-step explanation:
2 1/2 hours is equivalent to 150 minutes.
Set up a proportion; let x equal inches of rain
[tex]\frac{5}{150}[/tex]=[tex]\frac{x}{60}[/tex]
Cross multiply -> 150x=300
Divide both sides by 150 to get -> x=2
A hotel currently has enough room to accommodate at most 200 guests per night. It plans to expand its capacity by 12 guests every year. To make a profit, the hotel must have at least 40 guests staying in the hotel. The hotel manager expects that threshold to increase by 10% every year.
The manager modeled this situation with a system of linear inequalities, where x is the time from today, in years, and y is the number of guests. Which ordered pairs represent viable solutions of this system?
Answer:
(20,280) and (10,300)
Step-by-step explanation:
It was the correct answer on the practice question
Answer:
Edmentum/Plato
URGENT!!!!
Find Perimeter of the square with the side 15 in.
Use formula P=4s
100 in
60 in
225 in
30 in
Answer:
It's 60 in
Step-by-step explanation:
P = 4s
P = 4 x 15
P = 60 in
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3y - 40 = 9
Answer:
3y=49
Step-by-step explanation:
yeppp I'm pretty sure
please help PLEASE WILL GIVE BRAINS
A fan has five equally spaced blades. Suppose you line up two fans directly on top of each other. What is the least number of degrees that you can rotate the top fan so that the two fans are perfectly aligned again?
A fan has 5 equally spaced blades.
A. 120°
B. 60°
C. 90°
D. 72°
Plsss help guys
Ill give brainly points to who ever answers this question plsss
Cara makes a fruit drink using
apples and oranges. For every 1 apple she uses 3 oranges. She uses 20 fruits altogether. How many oranges does she use?
Answer:
15 oranges
Step-by-step explanation:
5×1=5
5×3=15
Multiply −47(−35)(−73). Simplify your answer.
Answer:
-47(-35)(-73)
1645×-73
-120 085
ans: -120 085
Answer:
-47(-35)(-73)
1645×-73
-120 085
ans: -120 085
Step-by-step explanation:
Whats the answer to x^2=9
Answer:
x=3
Step-by-step explanation:
3 times 3 is 9
Answer:
X=3
Step-by-step explanation:
What is the slope of the line?
Answer:
1
Step-by-step explanation:
Two ordered pairs that can be seen are (0,1) and (1,2)
Using delta y/ delta x,
(2-1)/(1-0) = slope
slope = 1/1
slope = 1
Answer:
slope = 1
Step-by-step explanation:
To find the slope of the line, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], in which [tex]m[/tex] represents the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, while the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point.
Thus, locate two points on the line. We can see that the line intersects (-1,0) and (0,1), thus we can use them for the formula. (Any other two points that are also on the line will also work.) Substitute their x and y values into the appropriate places in the formula and solve:
[tex]m = \frac{(1)-(0)}{(0)-(-1)}\\m = \frac{1-0}{0+1} \\m = \frac{1}{1} \\m = 1[/tex]
Thus, the slope is 1.
33333333333333333333333333333
Answer: All three methods would be easy and effective
Step-by-step explanation: