Answer:
10years
Step-by-step explanation:
100%+100%=double
100/10=10 years to reach 100% so after ten years you will have 200%/double
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
[tex] \\ \large \purple{ \sf{Given→}} \\ [/tex]
P (Principal) → 600$R (the annual rate) → 10% ,0.1nd
Time → years let be x[tex] \sf{A = 2P} \\ \sf{A = 2 \times 600} \\ \sf{ A =\:1200} \\ \sf{cuz \: future \: value \: since \: the \: 600 \: will \: double \: itself}[/tex]
[tex]\blue{\rule{70mm}{2.2pt}}[/tex]
[tex] \\ \large \purple { \sf{Formula \: used→}} \\ \\ \rm{A = P(1 + r \times t)}[/tex]
[tex]\blue{\rule{70mm}{2.2pt}}[/tex]
→Substituting values
[tex]\rm{1200 = 600(1 + 0.1 \times x)} \\ \\ \rm{600(1 + 0.1 \times x) = 1200} \\ \\ \rm{1 + 0.1 \times x = \frac{1200}{600} } \\ \\ \rm{ 1 + 0.1 \times x = \cancel \frac{1200}{600} } \\ \\ \rm{1 + 0.1 \times x = 2} \\ \\ \rm{0.1 \times x = 2 - 1} \\ \\ \rm{x = 1 \times \frac{10}{1} } \\ \\ \rm{x =10 } [/tex]
[tex]\underline{\underline{\rule{70mm}{2.2pt}}}[/tex][tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
Please Help - Find the Volume
I know the answer is 1982.0 ft³. However, I don't know how to get to that answer. I keep getting 2112ft³.
Answer:
1982.0 ft³
Step-by-step explanation:
The composite figure can be decomposed into a cube and a square pyramid. The volume is the sum of the volumes of these.
__
pyramidThe square base of the pyramid is 12 ft on each side, so the diagonal of the base is 12√2 feet. (The diagonal of a square is √2 times the side length.) Then the distance from a corner to the center of the base is half that, or 6√2 feet.
That distance and the height of the pyramid form a right triangle whose hypotenuse is the given 10 ft measure of the length of the edge of a face of the pyramid. Then the height can be found using the Pythagorean theorem:
h² +(6√2)² = 10²
h² = 100 -72 = 28
h = 2√7 ≈ 5.291503 . . . ft
The volume of the pyramid is ...
V = 1/3Bh = 1/3s²h
V = 1/3(12 ft)²(5.2910503 ft) ≈ 253.992 ft³
__
cubeThe volume of a cube is given by ...
V = s³
V = (12 ft)³ = 1728 ft³
__
total volumeThe total volume of the figure is the sum of the pyramid volume and the cube volume:
total volume = 253.992 ft³ +1728 ft³ = 1981.992 ft³
The volume of the figure is about 1982.0 ft³.
_____
Additional comment
Your figure for the volume seems to assume the height of the pyramid is 8 feet. That length is the slant height of one face of the pyramid. It would be the hypotenuse of a right triangle whose other legs are 6 ft and the height of the pyramid. Then we would have ...
h² +6² = 8²
h² = 64 -36 = 28 . . . . as above
The pyramid height is the perpendicular distance from the plane of the base to the peak. It is measured through the middle of the volume, not along one face.
A research study compares three treatments with n=5 in each treatment. If the Ex values for the three treatments are 5, 10, and 15, then the between treatments' degrees of freedom would be equal to_
a) 12
b) 3
c) 2
d) 14
The between treatments' degrees of freedom would be equal to 10
What is degrees of freedom?Degrees of freedom is a combination of how much data you have and how many parameters you need to estimate.
Given the data in the question;
A research study comparing three treatments with n = 5 in each treatment produce;
that is: n₁ = 5, n₂ = 5, n₃ = 5
T₁ = 5, T₂ = 10, T₃ = 15,
SS₁ = 6, SS₂ = 9, SS₃ = 9
∑x² = 94
First, we obtain the grand total;
G = T₁ + T₂ + T₃ = 5 + 10 + 15 = 30
N = n₁ + n₂ + n₃ = 5 + 5 + 5 = 15
Total SS = ∑x² - ( G²/N )
we substitute
Total SS = 94 - ( (30)²/ 15 )
Total SS = 94 - ( 900 / 15 )
Total SS = 94 - 60
Total SS = 34
To get the SSbetween or Between SS;
Between SS = ∑( T²/n ) - ( G²/N )
Between SS = ∑( (5)²/5 + (10)²/5 + (15)²/5 ) - ( (30)²/ 15 )
Between SS = ∑( 25/5 + 100/5 + 225/5 ) - ( 900 / 15 )
Between SS = ∑( 5 + 20 + 45 ) - 60
Between SS = 70 - 60
Between SS = 10
Hence the between treatments' degrees of freedom would be equal to 10.
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A rectangle made of square tiles measures 10 tiles long and 8 tiles wide.
What is the width of a similar rectangle whose length is 15 tiles?
Answer:
12 tiles
Step-by-step explanation:
Let,
The rectangle with dimensions "10 tiles and 8 tiles" be known as "s".The rectangle with dimension "15 tiles" be known as "l"Since the length of the larger rectangle is similar to the smaller rectangle, we can compare the dimensions of both rectangles by forming a ratio.
[tex]\text{(L of "s")}:\text{(B of "s")}= \text{(L of "l")}: \text{(B of "l")}[/tex]
Let,
⇒ Length of "s" be L₁⇒ Breadth of "s" be B₁⇒ Length of "l" be L₂⇒ Breadth of "l" be B₂[tex]\implies \text{L}_{1} }:\text{B}_{1} = \text{L}_{2} : \text{B}_{2}[/tex]
We are already given:
Length of "s" = L₁ = 10 tilesBreadth of "s" = B₁ = 8 tilesLength of "L" = L₂ = 15 tiles[tex]\implies 10:8 = 15 : \text{B}_{2}[/tex]
To simplify the ratio, multiply the extremes together and take them on one side. Then, multiply the middles together and take them on the other side.
[tex]\implies 10 (\text{B}_{2}) = 15(8)[/tex]
Divide 10 both sides to obtain the width of the larger rectangle.
[tex]\implies \dfrac{10 (\text{B}_{2}) }{10} = \dfrac{15(8)}{10}[/tex]
Simplify the equation as necessary.
[tex]\implies \text{B}_{2} = 12[/tex]
Thus, the width of the larger rectangle is 12 tiles.
A game last 5/8 hours. Jessica played 4 of these games. for how long did she play in total? write your answers in the simplest form
Answer:
5/2 or 2 1/2
Step-by-step explanation:
4 x 5/8 = 20/8
20/8 = 10/4 = 5/2 = 2 1/2
If x = 2 and y = 3, then 4x
Answer: 8
Step-by-step explanation: Substituting x for 2 since we know the value, 4(2) is 8.
Answer: 8
Step-by-step explanation:4*2=8
write the equation of line through (3,6) and (-4,-1)
Answer:
y=x+3
Step-by-step explanation:
The slope of a line passing through the two points P = (x1, y1)and Q = (x2, y2) is given by
m= (y2-y1)/(x2-x1)
We have that x1= 3, y1= 6, x2= - 4, y2= - 1
so m = 1
Now, the y-intercept is b=y1-mx1 (or b=y2-mx2, the result is the same).
b=6-(1)(3)
b=3
Finally, the equation of the line can be written in the form
y = mx+b
y=x+3
Simplify the expression. Write your answer as a power.
The simplified expression is
Given the tunction
f(x)= - x^2 + 4x - 3 ,find the rate of chango over the interval [-2,7] (you can take the negative leading coefficlent off for reg ed if you want) *
Answer:
-1
Step-by-step explanation:
Given function: [tex]f(x)=-x^2+4x-3[/tex]
[tex]\implies f(-2)=-(-2)^2+4(-2)-3=-15[/tex]
[tex]\implies f(7)=-(7)^2+4(7)-3=-24[/tex]
[tex]\textsf{Average rate of change}=\dfrac{f(b)-f(a)}{b-a}\quad\textsf{for}\:a\leq x\leq b[/tex]
Therefore, average rate of change over the interval -2 ≤ x ≤ 7
[tex]\implies \textsf{Average rate of change}=\dfrac{f(7)-f(-2)}{7-(-2)}=\dfrac{-24-(-15)}{9}=-1[/tex]
Ved drew the shape below by combining exactly 3 triangles of the same size and shape
The area of each triangle is (1/3) of the area of the whole shape.
What is an area?Area is the amount of space occupied by a two dimensional shape or object.
Ved drew the shape below by combining exactly 3 triangles of the same size and shape.
Hence:
Combined area = sum of each area = 3 * area of each triangle
The area of each triangle is (1/3) of the area of the whole shape.
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MAX POINTS PLEASE HELP Will make Brainliest
What is the period and frequency of the function graphed and how would the equation be written
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex]\qquad \sf \dashrightarrow \:a \cos(bx) + k[/tex]
Now, let's find the required values :
period (p) = 6
[distance between any successive Crest or trough]
a = - 4 (flipped)
b = 2π/p = 2π/6 = π/3
k = -2
Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]
Not passing through origin (it's cosine)
Period:-
Difference between any two crests |-3-3||-6|6Now
Frequency:-
[tex]\\ \rm\dashrightarrow \nu=\dfrac{1}{T}[/tex]
[tex]\\ \rm\dashrightarrow \nu=\dfrac{1}{6}[/tex]
[tex]\\ \rm\dashrightarrow \nu=0.167Hz[/tex]
find in grammes 1/5 of 2 kg + 60 g
Answer:
460
Step-by-step explanation:
1/5 of 2kg is .4 kg
.4kg converted to grams is 400 grams
400g + 60g= 460
THE ANSWER IS 460
can you please help me solve this logarithm function
Answer:
I think the solution is x=84 if this is correct can u mark me brainliest
Answer:
[tex]\boxed{\sf{x=84}}[/tex]Step-by-step explanation:
This problem can be solved by using the logarithm function.
Isolate the term of x from one side of the equation.
First, you divide by -6 from both sides.
[tex]\Longrightarrow: \sf{\dfrac{-6\log _3(x-3)}{-6}=\dfrac{-24}{-6}}[/tex]
Solve.
Divide the numbers from left to right.
-24/-6=4
Rewrite the problem down.
[tex]\Longrightarrow: \sf{\log _3(x-3)=4}[/tex]
x-3=81
Add by 3 from both sides.
[tex]\Longrightarrow:\sf{x-3+3=81+3}[/tex]
Solve.
Add the numbers from left to right.
81+3=84
[tex]\Longrightarrow: \boxed{\sf{x=84}}[/tex]
Therefore, the solution is x=84, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
True or False: limx➡️0^+ e^-5/x =0
well, we can take a peek at this from the standpoint of moving from the right towards 0, but never getting there.
[tex]e^{-\frac{5}{x}}\implies \cfrac{1}{e^{\frac{5}{x}}}\qquad \qquad \stackrel{x = 1}{\cfrac{1}{e^{\frac{5}{1}}}}\implies \cfrac{1}{e^5}\qquad \qquad \stackrel{x=0.000001}{\cfrac{1}{e^{\frac{5}{0.000001}}}}\implies \cfrac{1}{e^{500000}}[/tex]
as "x" is moving towards 0, the denominator is becoming larger and ever larger, whilst the numerator is remaining the same, thus the fraction is become ever smaller, going towards = 0.
solve the following pair of equations by elimination method: x+y=4, 2x+y=3
Answer:
x = 1
y = 5
Step-by-step explanation:
x + y = 4 __ (1)
2x + y = 3 __ (2)
equation (1) x 2, (2) x 1
2x + 2y = 8
2x + y = 3
0 + y = 5
y= 5 (ANS)
x + y = 4
x + 5 = 4
x = 5 - 4
x = 1 (ANS)
I HOPE MY ANSWER IS CORRECT IF NOT I APOLOGIZE.
what is 6 dived by 20?
Answer:
0.3
Step-by-step explanation:
Answer:
6 divided by 20 is 0.3
(your welcome)
What is the graph of 3x + 5y = -15?
5
5
4
4
3
3
3
2
2
2
1
1
1
1 2 3
b
1 2 3 4 5
4-3-2-11
1 2 3 4 5 x
54-3-2-1
2+
34
1-3-2-1
2
م ح لي د کا
2
-3
5
5
5
o
O
5
4
3
Answer:
Can you put the picture up so we can see the graph?
What is the y-intercept of the quadratic function
f(x) = (x – 6)(x – 2)?
(0,–6)
(0,12)
(–8,0)
(2,0)
Answer:
(0,12)
Step-by-step explanation:
B.(0,12)
You want to buy a new computer that costs $2250. You check your savings-account balance and realize that to buy the computer, you will need $125 more than what you have in your savings account (s). How much money do you have in your savings account?
Answer:
$2,125
Step-by-step explanation:
Subtract: 2250-125=2125
Hope this helps! :)
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A cube has a volume of (0.75xy)3 cubic centimeters.
What is the volume of the cube expressed as a fraction?
Answer:
[tex]\frac{27}{64} x^{3} y^{3} cm^{3}[/tex]
Step-by-step explanation:
0.75 means 75/100 which is equal to 3/4.
Cube of 3/4 is [tex]\frac{3^{3} }{4^{3} }[/tex]= 27/64
x cube means x will be multiplied with itself thrice, which is [tex]x^{3}[/tex]and following the same logic, y cube means y will be multiplied with itself three times which is [tex]y^{3}[/tex]. The unit [tex]cm^{3}[/tex]at the last is very important, because, without it, the value does not show that this value is used to represent a volume so we write the units after writing the value.
Select all of the triangles below which are translations of triangle X.
All the triangles below which are translations of triangle X are,
⇒ A, B, D, E, F
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Since, A translation of a triangle is moving it up down or side to-side on the axis, not changing the shape flipping it or the orientation.
Hence, By all the graphs;
All the triangles below which are translations of triangle X are,
⇒ A, B, D, E, F
Thus, All the triangles below which are translations of triangle X are,
⇒ A, B, D, E, F
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Answer:
A, F
Step-by-step explanation:
The only two images that are just translations of triangle X are A and F.
Triangles A and F are obtained by moving triangle X some combination of up, down, left, and right. That is just a translation.
All other triangles shown involve something else in addition to a translation such as a reflection, rotation, or dilation.
Answer: A, F
The ratio of two numbers is 4 to 3. The sum of the numbers is 49. What are the two numbers?
Answer:
28/21
Step-by-step explanation:
28/21 is the equivalent to 4/3.
We know this is the fraction we are looking for because 28 + 21 = 49
Hope that helps!
A window has the shape of a rectangle with a semicircle at the top.
Find the approximate area of the window using the dimensions shown.
Answer:
8+pi/2
Step-by-step explanation:
The area of the rectangle on the bottom is 8, or 2*4. The area of the top is half (because it's a semi circle) of pi*r^2, or just 1/2 pi
can someone help me with this pls?
Can someone pls help me with this.
Joe and Charmaine walk around a track.Joe walks each lap in 12 minutes. Charmaine walks each lap in 8 minutes.The two of them begin at the starting line at the same time. They walk until they meet again.
How much time does it take for them to meet again at the starting line?
How many laps does Joe complete
How many laps does Charmaine complete?
Answer:
[A] It will take 24 minutes for Joe and Charmaine to meet again at the starting line.
[B] Joe will complete 2 laps
[C] Charmaine will complete 3 laps.
Step-by-step explanation:
Factor two numbers 12 and 8:
12 = 2×2×3
8 = 2×2×2
Find LCM of 12 and 8:
Lcm of 12 and 8 - 2×2×3×2 = 24
Therefore,
[A] How much time does it take for them to meet again at the starting line?
It will take 24 minutes for Joe and Charmaine to meet again at the starting line.
[B] How many laps does Joe complete
Joe will complete 2 laps
[C] How many laps does Charmaine complete?
Charmaine will complete 3 laps.
~lenvy~
Placing a down payment on a home is a common practice among homebuyers and, in many cases, is required by the lender for eligibility reasons. As the Payans’ real estate agent suggested in part C, it’s also important to help keep the mortgage payment low and within the homebuyer’s monthly budget to avoid the risk of default. Write two to three sentences summarizing what might happen if the Payans were to default on their monthly mortgage payments.
Answer:
If the Payans were to default, their credit score could be lowered. The Payans could also lose their house. With both of those things on their record, it would make it harder for the Payans to qualify for another loan.
Hope this helps!
Reflect the given triangle over
the y-axis.
3 6 31
-3 3 3.
{
ER
-3 -6
-3 [?] [
Answer:
see explanation
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y )
applying this rule to the given points , then we obtain
[tex]\left[\begin{array}{ccc}-3&-6&-3\\-3&3&3\\\end{array}\right][/tex]
James found a pair of shoes he wanted at two different stores. At store A they were $35 and he had a 20% off coupon. At store B they were $40 and he had a 30% off coupon. Both stores had 7% sales tax. Which would be the better deal, and by how much?
Answer: you gotta add
35+20 and that =55
55+30 and that =85
85+40 and that =125 the next step is
125+7 =132
Step-by-step explanation: hope this helps:)
Which of the equations below is a line parallel to the line y = 5x - 2?
Answer:
An unlimited number of lines are parallel to the line described by y = 5x + 2. The requirement is that it is in the form y = 5x + b, b ≠ 2.
Step-by-step explanation:
if the area of a circle is 36 x 3.14 inches squared find its diameter
Answer:
36
Step-by-step explanation:
36 x 3.14 = 113.04
Since to find a diameter from the area, you need to divide by 3.14
113.04 divided by 3.14 = 36
But since its already there you can just figure out that 36 is the diameter and you don't have to do any calculating
probably very easy but i do need some help asap
my calculations are not giving me the answer i'm supposed to receive which is
9y^3(3-y)
Answer:
[tex]\sf 9y^3(3-y)[/tex]
Step by step explanation:
[tex]\sf 27y^3-9y^4[/tex]
Factor out common term 9 :
[tex]\sf \implies 9(3y^3-y^4)[/tex]
Apply exponent rule [tex]\sf a^{bc}=a^{b+c}=a^ba^c[/tex] :
[tex]\sf \implies 9(3y^3-y^{1+3})[/tex]
[tex]\sf \implies 9(3y^3-y^1y^3)[/tex]
Factor out common term [tex]\sf y^3[/tex]:
[tex]\sf \implies 9y^3(3-y^1)[/tex]
Apply exponent rule [tex]\sf a^1=a[/tex] :
[tex]\sf \implies 9y^3(3-y)[/tex]