Answer:
This situation represents [a.) exponential decay
The rate of growth or decay, r, is equal to c.) 0.2
So the value of the computer each year is g.) 80% of the value in the previous year.
It will take [i.) 3 years for the value of the computer to reach $512.
Step-by-step explanation:
Since the value depreciates each year, it represents exponential decay.
The rate of growth or decay, r, is equal to
Depreciates 20%, so r = 0.2.
So the value of the computer each year is ... of the value in the previous year,
Depreciates 20%, so it is 100% - 20% = 80% of the value in the previous year.
It will take x years for the value of the computer to reach $512.
The value of the computer after x years is given by:
[tex]V(x) = V(0)(1-r)^x[/tex]
In which V(0) is the initial value and r is the decay rate. So
[tex]V(x) = 1000(1-0.2)^x[/tex]
[tex]V(x) = 1000(0.8)^x[/tex]
We want to find x for which V(x) = 512. So
[tex]V(x) = 1000(0.8)^x[/tex]
[tex]512 = 1000(0.8)^x[/tex]
[tex](0.8)^x = \frac{512}{1000}[/tex]
[tex](0.8)^x = (0.512)[/tex]
Applying log to both sides:
[tex]\log{(0.8)^x} = \log{(0.512)}[/tex]
[tex]x\log{0.8} = \log{(0.512)}[/tex]
[tex]x = \frac{\log{0.512}}{\log{0.8}}[/tex]
[tex]x = 3[/tex]
So it will take 3 years.
Solve for x:
3x – 2(6 - x) = 7x + 2(5 + x) – 6
Answer:
-4
Step-by-step explanation:
3x-2(6-x)=7x+2(5+x)-6
First, distribute.
3x+ −12+ 2x = 7x + 10 + 2x −6
Combine like terms on each side.
5x − 12= 9x + 4
To solve for x, pick a side to solve. I will solve the right x.
5x - 12 = 9x + 4
-5x -5x
-12 = 4x + 4
Subtract 4 to isolate the variable.
-16 = 4x
Divide 4.
-4 = x
The cylinder has a surface area of 972cm. Find x. Round to the nearest whole number.
diameter: 2x
height: 5x
Answer:
A= 2pirh +2pir^2
972=2 x pi x x x 5x + 2 x pi x x^2
972= 31.4x^2 + 6.28x^2
972=37.68x^2
x^2= 972/37.68
x^2=25.796
x= 25.796 square root
x= 5
The value of x is 5 cm.
What is a cylinder?A cylinder is a three-dimensional figure that has a radius and a height.
The volume of a cylinder is given as
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm
We have,
The surface area of a cylinder = 972 cm²
The surface area of a cylinder.
= 2πrh + 2πr²
Diameter = 2x
Radius = x
Height = 5x
Now,
2πrh + 2πr² = 972
2π (rh + r²) = 972
2π (5x² + x²) = 972
2π x 6x² = 972
6x² = 972/(2 x 3.14)
6x² = 154.78
x² = 25.79
x = √25.79
x = 5.08
x = 5
Thus,
x value is 5.
Learn more about cylinder here:
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what does equal (+3) * (+9)=
Answer:
27, we know that +3 and +9 are just the same without the signs. And 3 * 9 = 27.
flocabulary multplying fractions
Answer:
don't know what you need
Step-by-step explanation:
You complete two events of a triathlon. Your goal is to finish with an overall time of less than 100 minutes. a. Select an inequality that represents how many minutes x you can take to finish the running event and still meet your goal. Then solve the inequality. swimming-18.2 biking-45.5
(PLEASE HELP ASAP!)
Consider the unit circle below.
Which statement is true regarding the triangle drawn within the unit circle?
A. The lengths of the legs of the triangle are sinθ and cosθ.
B. The lengths of the legs are cosθ and 1.
C. The lengths of the legs are cotθ and cosθ.
D. The lengths of the legs are sinθ and 1.
Answer:
A
Step-by-step explanation:
https://www.flickr.com/photos/dwread/12159826533/
The required length of legs of the triangle drawn in the unit circle is given as sinθ and cosθ. Option A is correct.
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
For the length of the legs,
Perpendicular length,
sinθ = x / 1 {hypotenuse of the triangle is the radius of the circle which 1 unit in measurement.}
Similarly,
cosθ = y / 1
Thus, the required length of legs of the triangle drawn in the unit circle is given as sinθ and cosθ. Option A is correct.
Learn more about trigonometry equations here:
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What is the answer to this ?
Answer:
B shows a translation of three units to the right
Find the solution of the system of equations.
6x – 3y = -30
3x – 6y = 12
Answer:
Step-by-step explanation:
6x – 3y = -30
3x – 6y = 12
Multiply the top equation by 2 and write the bottom equation under it.
12x - 6y = - 60
3x - 6y = 12 Subtract
9x = - 72 Divide by 9
x = - 72/9
x = - 8
6x - 3y = - 30
6*-8 - 3y = -30
-48 - 3y = - 30 Add 48 to both sides.
-3y = - 30 + 48
-3y = 18 Divide by -3
y = -18/-3
y = -6
The surface is frictionless,Two blocks in contact with each other move
to the right across a horizontal surface by the two forces shown
Determine the magnitude of the force exerted on the block with mass 1.4 kg by the block with mass 6.4 kg.
Answer in units of N
9514 1404 393
Answer:
55 8/39 N ≈ 55 N
Step-by-step explanation:
The net force on the 1.4 kg block is proportional to its mass. That is, the ratio of net force on that block to the net force on the total mass is the same as the ratio of the block's mass to the total mass.
net force on 1.4 kg = (1.4 kg)/(1.4 +6.4 kg) × (64 N -15 N) = (7/39)(49 N)
net force on 1.4 kg = 8 31/39 N
Then the force applied by the 6.4 kg mass is ...
64 N - 8 31/39 N = 55 8/39 N ≈ 55 N . . . . applied by 6.4 kg mass
5, 80, 1280, 20480, 327680, ...
Answer:
It's multiplying by 16 every time... so the next answer is 5242880
Step-by-step explanation:
327680 x 16 = 5242880
A total of 31 microphones are to be purchased. Each microphone costs $249 estimate the total purchase price by using round numbers
Answer:
The answer is 7,500
Step-by-step explanation:
31 rounds to 30 and 249 rounds to 250. 30 times 250 is 7,500. I hope this helps.
Solve -15 =p+2.
Enter your answer in the box.
-15 = p + 2
-15 – 2 = p + 2 – 2
___ =P
Answer:
the answer is -17.......
Which triangle is a translation of the gray triangle?
O ΔDEF
Ο ΔABC
O Neither
Answer:
abc
Step-by-step explanation:
6n + 13 = 43
a
6
b
-5
c
5
d
-5
Answer:
C) n=5
Step-by-step explanation:
6n+13=43
6n+13-13=43-13
6n=30
6n/6=30/6
n=5
Answer:
Your answer is c
Step-by-step explanation:
Here you go mate
Step 1
6n+13=43 Equation/Question
Step 2
6n+13=43 Simplify
6n+13=43
Step 3
6n+13=43 Subtract 13 from sides
6n=30
Step 4
6n=30 Divide sides by 6
5
Answer
n=5
Hope this helps
The volume of a sphere is two-thirds the volume of a cylinder.
What is the volume of a cylinder that has the same diameter as a sphere with a volume of 14 u3, in u3?
Answer:
21u3
Step-by-step explanation:
Given that the volume of a sphere is two-thirds the volume of a cylinder.
Let the volume of the sphere be A and that of the cylinder be B then
A = 2/3 B
Given that the volume of the sphere of same diameter as a cylinder is 14u3 then
14u3 = 2/3 B
Multiply both sides by 3
42u3 =2B
Divided both sides by 2
21u3 = B
The volume of the cylinder in terms of u3 is 21u3
The measures of the three angles whose sum is 120° are in the extended ratio 2:5:8 find the exact angle measures
Answer:
ans is 16°,40°and64°
let ratio be 2x,5xand 8x
Step-by-step explanation:
their sum=120°
2x+5x+8x=120
15x=120
x=120/15=8°
2x=2×8=16°
5x=5×8=40°
8x=8×8=64°
Type the given number as a product of prime numbers. 135
Answer:
the guy on top is Wright hdjdbzudvsjahdjsvdhhdusvs
Plot a point on the coordinate plane to represent each of the ratio values in the table.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the table
Time (h) Distance (km)
1 2
3 6
6 12
9 18
As the time (h) is represented on the x-axis and the distance (km) is represented on the y-axis.
We know that the first coordinate of an ordered pair or point (x, y) is called the x-coordinate and the second coordinate is called the y-coordinate.
Thus, from the table, we get the following points:
(1, 2), (3, 6), (6, 12), and (9, 18)
The given points are plotted on the graph attached below.
From the graph, it is clear that:
Point (1, 2)
Point (1, 2) is represented at x = 1 and y = 2.
Thus, at the point (1, 2):
Speed = Distance / Time = 2/1 = 2km per hour
Point (3, 6)
Point (3, 6) is represented at x = 3 and y = 6.
Thus, at the point (3, 6):
Speed = Distance / Time = 6/3= 2km per hour
Point (6, 12)
Point (6, 12) is represented at x = 6 and y = 12.
Thus, at the point (6, 12):
Speed = Distance / Time = 12/6= 2km per hour
Point (9, 18)
Point (9, 18) is represented at x = 9 and y = 18.
Thus, at the point (9, 18):
Speed = Distance / Time = 18/9= 2km per hour
Please check the attached graph.
Joe wants to rent a scooter for a day. It will cost the daily fee of $15 plus $0.25 per mile driven. Let m = the number of miles Joe drives for the day. Write an expression that shows the amount he will pay for the car?
Evaluate the expression you wrote to find Joe will pay if he drives 20 miles?
Answer:
What you´re going to do, is 0.25 x 20, and that is about 5.00. Then you do 15 + 5 and you get 20 dollars for 20 miles. M = $20
Step-by-step explanation:
What is 3 meters converted to potential energy
Answer:
4 meters
Step-by-step explanation:
Tn=n^2+bn+c. Find the values of b and c if the sequences starts with - 1,2,7,14,..
Answer:
no
Step-by-step explanation:
no
how many turning points will a quartic fumction with four real zeros have?
upto four roots or zero......
Which is the most common age
Answer:
57, the number repeats the most in the chart
Given the endpoint of (-5, - 3) and midpoint of
of (-0.5,0)
find the coordinate point of the other endpoint
Answer:
You have to plot these points on the graph and find out what the slope is that way or find the slope using the slope form. (below) Then using the slope add the y-coordinate and x-coordinate to the appropriate places in the ordered pair (-0.5,0) this will give you your answer of ordered pair.
Step-by-step explanation:
SLOPE FORMULA-
y2-y1 / x2-x1
The projected sales volume of a video game cartridge is given by the function s(p) = 3000 / (2p + a), where s is the number of cartridges sold, in thousands; p is the price per cartridge, in dollars; and a is a constant. If according to the projections, 100000 cartridges are sold at 10 dollars per cartridge, how many cartridges will be sold at 20 dollars per cartridge?
Answer: 149 cartridges will be sold at 20 dollars per cartridge.
Step-by-step explanation:
Given: The projected sales volume of a video game cartridge is given by the function [tex]s(p)=\dfrac{3000}{2p+a}[/tex], where s is the number of cartridges sold, in thousands; p is the price per cartridge, in dollars; and a is a constant.
Put s(p)=100000, p= 10, we get
[tex]100000=\dfrac{3000}{2(10)+a}\\\\\Rightarrow\ 100=\dfrac{3}{20+a}\\\\\Rightarrow\ 100(20+a)=3\\\\\Rightarrow\ 2000+100a=3\\\\\Rightarrow\ 100a=-1997\\\\\Rightarrow\ a=-19.97[/tex]
i.e. [tex]s(p)=\dfrac{3000}{2p-19.97}[/tex]
Put p=20, we get
[tex]s(20)=\dfrac{3000}{2(20)-19.97}\\\\=\dfrac{3000}{40-19.97}\\\\=\dfrac{3000}{20.03}\approx149[/tex]
Hence, 149 cartridges will be sold at 20 dollars per cartridge.
What adaptations allow the same bacteria that live on Earth to live on the International Space Station (ISS)? (Select all that apply.)
living in an environment with increased carbon dioxide levels
living in an environment with increased radiation levels
living in an environment with increased water levels
living in an environment with increased oxygen levels
WILL GIVE BRAINLY
Answer:
living in an environment with increased carbon dioxide levels.
Step-by-step explanation:
International Space Station have higher carbon dioxide levels as compared to the earth. The earth's atmosphere has now changed due to increased carbon emission by vehicles and factories. The environmental pollution has increased and the trees are being cut which has created an environment less of oxygen and more of carbon dioxide. Bacteria's find it easy to live on earth because of increase carbon dioxide levels.
Answer:
living in an environment with increased radiation levels and living in an environment with increased carbon dioxide levels.
Step-by-step explanation:
Hope you get it right!! :))
The graph below shows the number of points each team scored how many more points did the marlins have than the torpedoes?
A 250
B 300
C 350
D 450
Answer:
300
Step-by-step explanation:
I need to know what this is
Answer:
[tex]★\:\: \frac{3 {x}^{3} - 18 {x}^{2} + 27x}{2 {x}^{2} + 2x - 12}\:when\:x≠2,\:3 \\ = \frac{3x( {x}^{2} - 6x + 9) }{2( {x}^{2} + x - 6) } \\ = \frac{3x( {(x)}^{2} - 2 \times (3) \times (x) + {(3)}^{2} ) }{2( {x}^{2} + 3x - 2x - 6) } \\ = \frac{3x {(x - 3)}(x - 3) }{2(x(x + 3) - 2(x + 3))} \\ = \boxed{‡ \frac{3x {(x - 3)}^{2} }{2(x + 3)(x - 2)}‡}✓[/tex]
3x(x-3)²/2(x+3)(x-2) is the right answer.What is the equation of the line that passes through the point (4,11) and is perpendicular to the line with the following equation? Y=4/3x+7
Answer:
Step-by-step explanation:
y = (4/3)x+7
Slope of the line is 4/3.
Slope of any perpendicular to the line is -¾.
Point-slope equation for line of slope -¾ that passes through (4,11):
y-11 = -¾(x-4)
Of course, you may want to rearrange it to slope-intercept form or standard form.
y = -¾x+15 slope-intercept
x+4y = 60 standard
The number 163 represents the
of the data set.
Answer:
Median
Step-by-step explanation:
The line that divides the rectangular box that into two on a box plot usually represents the median of the data set.
Therefore, number 163 would be the median of the data set.
163 represents the median value of the data set.
Answer:
The number 163 represents the
median
of the data set.
Step-by-step explanation: