Answer:
1,000,000 / 1.03 = 970,873.79 After 1st Year
970,873.79 / 1.03 = 942,595.91 After 2nd Year
Step-by-step explanation:
Answer:
Two thirds rounded would be 66.67%. I’m uncertain whether you were asking about a straight line depreciation or some sort of degressive depreciation.
Basically, in a straight-line depreciation, you would calculate each depreciation as a fraction of your asset’s original value. A machine worth $1000 in year 0 would depreciate annually with a constant amount of $100.
Your machine would be worth less than 66.67% of its original value after at least 4 years (4 x 10%). More precisely, 3 years and (33.3% x 365 days) 122 days.
Applying a degressive depreciation method, you would calculate the depreciation in each year as a fraction of your asset’s residual value. This implies your depreciations would decrease each year (hence “degressive”). As soon as your depreciations fall below the amount you would depreciate in a straight line depreciation, you switch to the latter. The reason for this is that it does not really make sense for a company to depreciate it’s assets with a lesser amount, given the tax benefits of depreciations and the time value of money.
Assuming the duration of the asset’s useful life is 10 years, you would switch to the straight-line depreciations after the first year. This scenario would be equal to the straight-line depreciation: 3 years and 122 days.
In case the duration of the asset’s useful life is shorter or longer than 10 years, the amount of time required for the asset to have less than two-thirds of its initial value depends on the duration of is life.
so basically the answer is
1,000,000 / 1.03 = 970,873.79 After 1st Year
970,873.79 / 1.03 = 942,595.91 After 2nd Year
22/25 of a number is what percentage of that number
Answer:
88 percent because to get to 25*4 is 100 so whatever you do on the bottom you do on the top and you get 88
Step-by-step explanation:
Answer:
0.88
Step-by-step explanation:
this is easy!
divide 22 by 25.
the line between the numbers mean to divide
so you take the top number and put it outside the box then put the bottom on the inside of your box
PLEASE help I'm a bit confused and need to know this quick will bought 4 slices of pizza for $6.00. Let X represent the number of slices of pizza purchased, and let y represent the total cost. Graph the line that represents the proportional relationship.
Answer:
The dot would be at (4, 6)
Step-by-step explanation:
To graph the line that represents the proportional relationship between the number of slices of pizza purchased and the total cost, divide the change in total cost by the change in the number of slices. In this case, the line passes through the points (4, 6) and (0, 0) with a slope of 1.5.
Explanation:To graph the line that represents the proportional relationship between the number of slices of pizza purchased and the total cost, we need to identify the slope of the line. The slope represents the rate of change of the total cost with respect to the number of slices. In this case, we can calculate the slope by dividing the change in total cost by the change in the number of slices.
Given that the student bought 4 slices of pizza for $6.00, we can create two points on the line: (4, 6) and (0, 0). The first point represents 4 slices purchased for $6.00, and the second point represents 0 slices purchased for $0.00.
To calculate the slope, we use the formula (change in y)/(change in x), which gives us (6-0)/(4-0), resulting in a slope of 6/4 or 1.5.
Therefore, the line that represents the proportional relationship is a straight line passing through the points (4, 6) and (0, 0) with a slope of 1.5.
An ice sculpture is melting because of heat. Assuming its height changes bynegative 5 over 32m every hour, what will be the change in height after 4 hours? negative 20 over 8 meters 5 over 8 meter negative 5 over 32 meter negative 5 over 8 meter
Answer:
the answer is -20/8 or A
Step-by-step explanation:
whats -2/3+(-7 4/9) please solve
Answer:-8.1111111
Step-by-step explanation:
Help ASAP please
First answer and correct answer gets the brain...
Math
Answer problem ASAP!!!
Answer:
3/8
Step-by-step explanation:
The height is 9 in the drawing and the statue is 24
We want the scale factor from drawing to statue
The ratio is 9/24
Divide the top and bottom by 3
3/8
at its farthest point, jupiter is 6.01x10^8 miles from earth. Scientists are trying to create a special space tool that travels 8.9x10^5 miles per day. if they succeed, how many days would it take for the tool to travel to jupiter at its farthest point from earth?
Answer:
It would take 675.2809 days or 675.3 days
Step-by-step explanation:
first you simplify your equations if possible which you can here.
6.01×10^8=601,000,000 8.9×10^5=890,000
Then you are going to divide 601,000,000 by 890,000 or you cancel the zeros and then divide (your choice)
601,000,000/980,000
You can cancel out the zeros that both share so you'll be left with
60,100/89
then you divide and you get
675.2809
or you can round to the nearest tenth and you get
675.3
What is the volume of a cylinder with a diameter of 6m and a height of 5m?
Final answer:
The volume of a cylinder with a diameter of 6m and a height of 5m is calculated using the formula V = πr²h. With a radius of 3m, the volume is 141.39m³.
Explanation:
To find the volume of a cylinder with a diameter of 6m and a height of 5m, we first need to calculate the radius of the cylinder. The radius is half of the diameter, so in this case, the radius (r) is 3m. The formula for the volume (V) of a cylinder is V = πr²h, where π (pi) is approximately 3.142, r is the radius, and h is the height of the cylinder.
Using this formula, we get:
V = π × (3m)² × 5m
V = 3.142 × 9m² × 5m
V = 3.142 × 45m³
V = 141.39m³
Therefore, the volume of the cylinder is 141.39 cubic meters.
An equilateral triangle is dilated by a scale factor of 3. If a side of the original triangle is 6, what is the measure of a side of the new triangle?
Answer:
18
Step-by-step explanation:
Let the side of the triangle be a and that of the new one be a'.
a'/a = 3/1 Insert the value of a
a'/6 = 3 Multiply each side by 6
a' = 18
The measure of a side of the new triangle is 18.
Answer: 18 units.
Step-by-step explanation:
When a segment 'm' is dilated by a scale factor 'k' , then the measure of new dilated segment will be 'km' [i.e. New side length =scale factor is multiplied to the original side-length].Given : An equilateral triangle is dilated by a scale factor of 3.
[Note an equilateral triangle has all its side-lengths are equal.]
Side-length of the original triangle = 6 units
Then, the measure of a side of the new triangle = Scale factor x Original side-length
= 3 x 6 = 18 units
Hence, the measure of a side of the new triangle = 18 units.
What is the length of PR
Answer:
B 7
Step-by-step explanation:
Since the triangles are similar by AAA
We can use ratios to find the length x (which is PR)
5 15
-------- = ------------
x 21
Using cross products
5 * 21 = 15 *x
Divide each side by 15
5/15 * 21 = 15x/15
1/3 * 21 =x
7 =x
Answer:
here is how i did it.
Beth walked around her neighborhood. In 1/2 hour, she walked 1 1/4 miles. What was Beth’s rate in miles per hour
Answer:
2.5 miles per hour
Step-by-step explanation:
ok, so we already know how long she walked in 1/2 hour and we need to find out how many miles in one full hour. So, i multiplied 1 1/4 times two to make up the one full hour and I got 2.5 miles. So the rate is 2.5 mph.
Speed of walking is 2.5 miles per hour
Given that;
Time taken to walk = 1/2 hour = 0.5 hour
Distance cover = 1¹/₄ = 5 / 4 = 1.25 miles
Find:
Speed of walking
Computation:
Speed of walking = Distance cover / Time taken
Speed of walking = 1.25 / 0.5
Speed of walking = 2.5 miles per hour
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Determine the rate of change of f , f(x)= 6x-5
Answer:
6
Step-by-step explanation:
the rate of change is given by the slope of the line
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
f(x) = 6x - 5 is in this form
with slope m = 6 ← rate of change
Answer:
6
Step-by-step explanation:
We are given the function f(x) = 6x-5 for which we have to determine its rate of change.
The rate of change is given by the slope of a line.
We know that the standard form of an equation of a line is given by:
y = mx + c
where m is the slope.
If we observe the given function, we can notice that is in the form y = mx + c where the slope (m) is 6.
Therefore, the rate of change for the function f(x) = 6x - 5 is 6.
round to the underline place value in the 3 in 32,134,085 (the one next to the 2)
Help would be greatly appreciated! 20 points...
3. In picture below...
4. The equation for line m is y = 1/2x - 5 . Use this information and these descriptions to write an equation for line n, line p, and line r.
(a) Line m and line n have no solutions. Write an equation that can represent line n.
(b) Line m and line p have infinitely many solutions. Write an equation that can represent line p.
(c) Line m and line r have one solution. Write an equation that can represent line r.
5. Identify whether each statement about a system of linear equations is true or false. For each false statement, change a word to make it a true statement.
(a) A system with two linear equations may have two solutions.
(b) Lines in a system with no solutions are always parallel.
(c) The solution when a system of equations has only one solution is the ordered pair at which the equations' graphs intersect.
(d) Equations that have different slopes have no solution.
Answer:
Step-by-step explanation:
Three
3a
Two lines that have slopes where 1 is the negative of the other will intersect some where once and only once. I've included a graph for this.
3b
If you multiply the top line by 2 you get the bottom line. They are the same line. There's an infinite number of solutions.
3C
They will intersect once. On your paper just extend both lines. They intersect.
3D
If they are parallel, they never intersect. No solution.
Four
what's at the tail end of four. y = 1/2x - ???? I'll give it a value. You'll have to change the value to get it to work properly.
A
m: y = 1/2x - 4 The 4 is mine. Change it to what it says.
n: y = 1/2x - 8 Any value except - 4 will work.
B
m: y = 1/2x - 4
n : -2y = -x + 8 They are really the same equation. n = -2*m
C
m: y = 1/2 x - 4
n: y = x + 3
I'm going to let you work your way through 5. There should be enough in 3 and 4 to get five.
Five
A: False
B: This question is not true, but you probably don't have enough math to say why. Bend your right arm so it is parallel to your belt. Above that "line" bend your left arm so it is over the right arm in just one place. The left arm should be pointing towards the wall of your room. Those two are not parallel nor do they have any meeting place.
C: True
D: False
capital building is 287 feet. the height of a model building is 2.87. what is the scale if the model
Answer:
100:1
Step-by-step explanation:
To solve this, you must divide the two.
287 / 2.87 = 100
The scale factor of the model is 100:1.
The scale factor between a real building that is 287 feet tall and a model that is 2.87 feet tall is 0.01, or 1:100. This means that each unit on the model corresponds to 100 units on the actual building.
Explanation:The subject here is regarding scale factor in mathematics. The scale factor is the ratio between the corresponding sides of two similar figures. In this case, the two figures are the actual capital building and its model. To calculate the scale, divide the height of the model by the height of the actual building. So, if an actual building is 287 feet and its model is 2.87 feet, then the scale is given by 2.87 / 287, which is 0.01.
So, the scale of the model to the building is 1:100, because for every one unit on the model, there are 100 units on the actual building. Remember this scale when considering the height and other dimensions of the model or the building.
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30 pts + BRAINLIEST
Using the letters in the word INNOVATIVE, find the number of permutations that can be formed using 4 letters at a time. Show your work or explain how you got your answer.
Answer:
Number of permutations = 5040
Step-by-step explanation:
We are given the word 'INNOVATIVE', that has total 10 letters.
Now, we are asked to form words using exactly 4 letters at a time i.e. out of 10 letters we are using 4.
Therefore, the number of permutations that can be formed using 4 letters are = P(10,4)
i.e. [tex]10_{P_{4} }[/tex]
= [tex]\frac{10!}{(10-4)!}[/tex]
= [tex]\frac{10!}{6!}[/tex]
= [tex]\frac{10*9*8*7*6!}{6!}[/tex]
= 10*9*8*7
= 5040
Answer: 5040
Step-by-step explanation:
npr = n! / (n - r)!
numbers of letters given = 10
permutation that can be formed using 4 letters at a time= 10 P ₄
=10! / (10 - 4)! = 10! / 6!
= 10 ×9 ×8×7 ×6! /6! ( the 6! will cancel out)
= 10×9 ×8×7=5040
Therefore, the number of permutations are 5040
y+8=-11
[tex]y + 8 = - 11[/tex]
[tex]y+8=-11\qquad\text{subtract 8 from both sides}\\\\y+8-8=-11-8\\\\\boxed{y=-19}[/tex]
What value of a in the equation ax − 4 = 2y would give a line with a slope of 2?
Answer:
a=4
Step-by-step explanation:
ax − 4 = 2y
We need to get the equation is slope intercept form y= mx+b.
Lets solve for y
Divide each side by 2
a/2 x - 4/2 = 2y/2
a/2 x -2 = y
or y=a/2 x -2
The slope is a/2 and the y intercept is -2
We want a slope of 2 so a/2 =2
a/2=2
Multiply each side by 2
a/2 * 2 =2*2
a =4
The number of calories varies directly with the massive cheese if there are 200 cal in 50 g how many calories are in 70 g of cheese
Answer:
280 calories
Step-by-step explanation:
200 / 50 = 4
1 gram = 4 calories
70 * 4 = 280
Therefore, there are 280 calories in 70 grams of cheese.
each bowl can hold 1/4 cup of nuts. Taisha has 3 3/8 cup of nuts. How many full bowls can she make?
Answer:
13 bowls
Step-by-step explanation:
To figure out how many bowls of nuts she can make, we divide how many cups of nuts she has by how many cups of nuts in a bowl
3 3/8 ÷ 1/4
Lets change 3 3/8 into an improper fraction
3 3/8 = (8*3 +3)/8 = 27/8
27/8 ÷ 1/4
Copy dot flip
27 /8 * 4/1
27/2
2 goes into 27 13 times with 1 left over
13 1/2
She will have 13 full bowls of nuts
The gray figure is the image of the black figure after a dilation. Which represents the dilation?
Answer:
B.
Step-by-step explanation:
The original function in 8 wide, the new function is 4 wide. That means the original function was shrunk by half (4/8)
(x,y)--> (1/2x, 1/2y) represents the dilation.
What is Dilation?Dilation defines changing the size of an object without changing its shape.
How to Solve the problem?This problem can be solved by following steps
In black figure X-axis = 8 units , Y axis = 8 units.In grey figure X-axis = 4 units , Y axis = 4 units.X-axis of grey figure = 1/2*X-axis of Black figure.= 1/2*8
= 4 units.
Y-axis of grey figure = 1/2*Y-axis of Black figure
= 1/2*8
= 4 units
Therefore,
(x,y)--> (1/2x,1/2y) represents the dilation.
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Measurement of angle 1
Answer:
55
Step-by-step explanation:
Given that a circle and inside two chords with same arc length.
We are to find the angle between the two chords.
Given that two arcs subtend angle 125 degrees at the centre.
Let us join the two ends of chords to make the figure as a triangle inside a circle.
The triangle is isosceles as two arcs and hence chords are equal.
By central angle theorem we have the two equal angles as 1/2 (125) = 62.5
Hence we have a triangle with two equal angles 62.5 and another angle 1.
By triangle sum of angles theorem
angle 1+62.5+62.5 = 180
Hence angle A = 180-62.5-62.5 = 55 degrees.
An event lasts for 5 hours and 30 min how long did the event last in seconds
Answer:
19800
Step-by-step explanation
5 * 60 =300
5 hrs is 300 minutes
300 + 30 = 330
5hrs and 30 min is 330 min
330*60= 19800
5hrs and 30 min is 19800 sec
What’s the difference between 66.830 and 142.6
Answer:
-75.77
Step-by-step explanation:
finding the difference is just finding the distance between two points
your two points are 66.830 and 142.6
so subtract 66.830 from 142.6 and you will get -75.77 depending on the question it could be positive or negative.
Answer:
75.77
Step-by-step explanation:
Find the value of y when x = 4 in the equation 1/7(3x + y) = x Show your work help
comment if you want to do some assignments for me. I’ll make you brainiest and give you all my points.‼️‼️‼️‼️‼️‼️‼️‼️ (Math and science)
Answer:
Ask away
Step-by-step explanation:
Answer:
Ill do the math
Step-by-step explanation:
Answer all questions please
Answer:
4.
a. base angle
b. leg
c. vertex
d. leg
e. base
f. base
5. You have 3 pairs of corresponding congruent sides, so the property that proves the triangles are congruent would be SSS.
What is the slope of A-line that is perpendicular to the line shown, (0,-2) (-3,2)
Answer:
3/4
Step-by-step explanation:
Answer:
-3/4 I think hope this helps
1 kilogram= 2.2 pounds, 1 stone= 14 pounds change 42 kilograms into stones
Answer:
6.6 stone
Step-by-step explanation:
We will use conversions to change kilograms to stones
1 kilogram= 2.2 pounds,
1 stone= 14 pounds
42 kilogram 2.2 lbs 1 stone
--------------- * ------------- * ---------------
1 kg 14 lbs
All the units cancel except stone
(42*2.2)/14 stone
6.6 stone
The goal of a toy drive is to donate more than 1000 toys. The toy drive already has collected 300 toys. How many more toys does the toy drive need to meet its goal? Write and solve an inequality to find the number of toys needed.
Answer: 700
Step-by-step explanation:
The required inequality to calculate the number of additional toys needed to meet the goal of more than 1000 toys and additional condition is shown in the inequality '300 + x > 1000'.
The goal of the toy drive is to collect more than 1000 toys.
Given that 300 toys have already been collected, we want to find out how many more toys are needed to meet this goal.
To represent this situation, we can set up an inequality where x represents the number of toys still needed.
The inequality would be 300 + x > 1000.
Solving for x, we subtract 300 from both sides to isolate x, which gives us x > 700.
This means that the toy drive needs more than 700 additional toys to meet its goal of donating more than 1000 toys.
What is the surface area of the cylinder?
A.) 9πm²
B.) 18πm²
C.) 21πm²
D.) 13.5πm²
[tex]\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1.5\\ h=1.5 \end{cases}\implies SA=2\pi (1.5)(1.5+1.5) \\\\\\ SA=3\pi (3)\implies SA=9\pi[/tex]