After a depreciation of 8% per year for 3 years, the value of Li's boat depreciates to approximately $136258, according to the formula for calculating the value of an asset after a certain number of years of depreciation.
Explanation:The value of an asset after a certain number of years, taking into account annual depreciation, can be calculated using the formula: Preliminary Value x ((100 - Depreciation Rate) / 100) ^ Years Of Depreciation.
Given that the initial value of Li's boat was $170,000 and it depreciated by 8% each year, we can substitute these values into the formula to find the value of the boat on 1st January 2019 (after 3 years).
So, the boat's value would be: $170,000 x ((100 - 8) / 100) ^ 3. This simplifies to $170,000 x (0.92) ^ 3, yielding a final value of approximately $136258
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A square has a perimeter of 20 cm. A new square is
created that has double the perimeter of the original
square. How does the area of the new square
compare to the area of the original square?
The area quadrupled. If the original square's perimeter is 20, each side length must be 5. The new square has double the perimeter, so it's 40. This means each side of the new square must be 10.
The formula for area in a square is base x height.
Square 1 area: 5x5 = 25
Square 2 area: 10x10 = 100
100/25 is 4, so the original square's area is 4 times smaller than the new square.
Please help me solve 3x + 4y =15 and 3x - y = 30 it is for Algebra I
Answer:
Step-by-step explanation:
Given the simultaneous equation
3x+4y=15. Equation 1
3x-y=30. Equation 2
Using elimination method
Sutract equation 2 from 1
Then, will have
3x-3x+4y--y=15-50. -×-=+
4y+y=-15
5y=-15
Divide Both sides by 5
y=-15/5
y=-3
From equation 2
3x-y=30
3x--3=30
3x+3=30
3x=30-3
3x=27
Divide both side by 3
x=27/3
x=9
Then, x=9 and y=-3
Answer:
x=7 y=-9
Step-by-step explanation:
Use a system of equations to solve.
3x-y=30 changes to y=-30+3x
This can then be substituted into the other equation.
3x+4(-30+3x)=15
solve for x
X=7
Now use 7 in the other equation.
y=-30+x(7)
y=-9
A certain game has a deck of cards labeled 1,2,3, or 4. At the beginning of a turn, a player draws a card from the deck and then moves the number of spaces indicated by the number on the card. The table shows the number of each type of card in the deck. What is the expected value of the number on a card drawn from the deck.
Number on card = number of cards
1 / 20
2 / 15
3 / 10
4 / 5
A) 1
B) 2
C) 3
D) 4
Answer:
Step-by-step explanation:
1/20
Isabella filled a 200-litter pool and Henry filled a 250-litter pool. They both started at the same time.
The following equation gives the volume of water in Isabella's pool (in liters) as a function of time (in minutes).
V=23t
The graph of the volume of water in Henry's pool (in liters) as a function of time (in minutes) is shown below.
Who filled their pool at a faster rate?
Who filled their entire pool first?
Answer:
B. Henry for the first one and A. Isebella for the second one
Step-by-step explanation:
Answer:
1. Henry
2. Isabella
Step-by-step explanation:
Which expression gives the value of x?
A) 15 tan30°
B) 15 cos30°
C)
15
tan30°
D)
15
sin30°
Answer:
a is correct
Step-by-step explanation:
y=x+2
-3x + 3y = 6
How many solutions can be found for the system of linear equations represented on the graph?
no solution
one solution
two solutions
infinitely many solutions
The system of linear equations represented on the graph has infinitely many solutions.
Explanation:To determine the number of solutions for the system of linear equations, we can start by solving the equations. We can solve the first equation for y to get y = x + 2. We can substitute this expression for y into the second equation and then solve for x. By substituting y = x + 2 into -3x + 3y = 6, we get -3x + 3(x + 2) = 6. Simplifying this equation gives us -3x + 3x + 6 = 6, which simplifies further to 6 = 6. This equation is always true, which means there are infinitely many solutions for the system of linear equations. The two equations represent the same line, and any point on this line is a solution to the system.
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4.2 +3+2+7
Combining like terms
Answer:
16.2
Step-by-step explanation:
Add the numbers together
I need help with this question?
Show work and and answer.
18a. 5-2(x-1)=12
B. 5+2 (x-1)=12
C. 5-2 (x+2)=12
D. 5-2x +2 =12
Answer:
Step-by-step explanation:
5-2(x-1)=12
5-2x+2=12
5+2-2x=12
7-2x=12
2x=7-12
2x=-5
x=-5/2
If Jenna can build a tractor in 9 hours, Thomas can build a tractor in 7 hours, Rachel can build a tractor in 5/2 hours, and Paul can build a tractor in 2 hours, how long will it take them to build 15 tractors if all four start building tractors at midnight, Rachel leaves after 3 hours (3 am), Jenna leaves after 6 hours (6 am), and Rachel returns after 9 hours (9 am)
Answer:
Around 16 hours
(16 hours, 2.74 minutes)
Step-by-step explanation:
In 3 hours,
Rachel has managed: 3 ÷ 5/2 = 6/5
In 6 hours,
Jenna has managed: 6 ÷ 9 = ⅔
Till 9 am,
Thomas and Paul have been woking and maneged:
(9 ÷ 7) ÷ (9 ÷ 2) = 81/14
Total works done in first 9 hours:
6/5 + 2/3 + 81/14 = 1607/210
Remaining work:
15 - 1607/210
= 1543/210
Rachel, Paul and Thomas complete this remaining job together in next 't' hours
(t/2.5) + (t/2) + (t/7) = 1543/210
73t/70 = 1543/210
t = 7.0456621 hours
Or 7 hours 2.74 mins
Overall, it will take them around 9+7 = 16 hours to complete the task
They'll be done at 1600
Which is 4 pm
Final answer:
It will take them approximately 22 hours and 21 minutes to build 15 tractors. The tractors will be finished at around 10:21 PM.
Explanation:
To find out how long it will take them to build 15 tractors, we need to first calculate how many tractors each person can build in 1 hour. Jenna can build 1/9 of a tractor in 1 hour, Thomas can build 1/7 of a tractor in 1 hour, Rachel can build 2/5 of a tractor in 1 hour, and Paul can build 1/2 of a tractor in 1 hour.
Adding up the fractions, we get 1/9 + 1/7 + 2/5 + 1/2 = 85/126. Therefore, in 1 hour, all four of them can build 85/126 of a tractor. To build a total of 15 tractors, we need to find how many hours it will take to build 126/85 of a tractor.
Therefore, it will take them (126/85) × 15 = 22.35 hours to build 15 tractors. Since they started building at midnight, it will take them about 22 hours and 21 minutes, so they will finish building the tractors at around 10:21 PM.
Any proof professionals please help!!!!!!!! We don't drag or drop answers in we have to write them out ourselves!!!! It's worth 30 points and I'll mark BRAINLEST if it sounds right!
I need the answers in the next 3 days and there's another one coming as well!
Answer:
Below.
Step-by-step explanation:
These reasons will probably be similar to the US conventions but not exactly the same ( I'm using the UK conventions).
1. Given
2. Given.
3, Opposite sides of a parallelogram.
4. Opposite sides of a parallelogram.
5. This side is common to both triangles.
6. The triangles are congruent by 3 equal sides ( I think that is SSS).
A right cone has a slant height of 30 cm and a radius of 10 cm. Find the volume of the right cone.
Answer:
V=3,140in3
Step-by-step explanation:
Game 1 gives you 200 points every time you
score. Game 2 doubles your points every time you
score (2, 4, 8, and so on). In which game do you
think you will you earn more points?
While Game 1 offers a steady 200 points per score, Game 2's point doubling system will eventually surpass Game 1's linear growth, leading to higher earnings in Game 2 over time.
To decide in which game you will earn more points, let's consider the point growth in both games. In Game 1, you receive a constant 200 points every time you score. This represents a linear growth.
However, in Game 2, your points double every time you score, starting from 2 points (2, 4, 8, 16, and so on).
This is an example of exponential growth.When comparing linear growth to exponential growth, exponential growth will eventually outpace linear growth. Initially, Game 1 will give you more points (as 200 is greater than 2, 4, 8).
However, after a certain number of scores, Game 2 will start to give you more points per score. Once you've doubled a few times, the number of points you earn in Game 2 will surpass the constant 200 points reward of Game 1.
1. You want to buy a stuffing mix. There are three brands of stuffing mix available. (You have a 10¢
off coupon for Cook Top Stuffing mix.) Cook Top Stuffing Mix 6 oz. for $1.49 or 12 oz. for $2.99
Saltridge Farms Stuffing Mix 6 oz. for $1.79 Cousin Ben's Stuffing Mix 6 oz. for $1.29 The brand that is
the best buy is
a. Cook Top 6 oz.
O b. Cook Top 12 oz.
c. Saltridge Farms 6 oz.
O d. Cousin Ben's 6 oz.
0 000
Answer:
The brand that is the best buy is D. Cousin Ben's Stuffing Mix 6 oz, because the cost per ounce is the lowest.
Step-by-step explanation:
For answering this question correctly, we need to calculate the cost per ounce to compare the four stuffing mix options available. Therefore,
Cost per ounce = Price/Number of ounces in the package
Proceeding with the calculations, we have:
A. Cook Top Stuffing Mix 6 oz. for $1.49. If we use the coupon the price would be $ 1.39.
Cost per ounce = 1.39/6
Cost per ounce = $ 0.23 (rounding to the next cent)
B. Cook Top Stuffing Mix 12 oz. for $2.99. If we use the coupon the price would be $ 2.89.
Cost per ounce = 2.89/12
Cost per ounce = $ 0.24 (rounding to the next cent)
C. Saltridge Farms Stuffing Mix 6 oz. for $1.79.
Cost per ounce = 1.79/6
Cost per ounce = $ 0.30 (rounding to the next cent)
D. Cousin Ben's Stuffing Mix 6 oz. for $1.29.
Cost per ounce = 1.29/6
Cost per ounce = $ 0.22 (rounding to the next cent)
The brand that is the best buy is D. Cousin Ben's Stuffing Mix 6 oz, because the cost per ounce is the lowest.
A line with a slope of 8 passes through the points (9,v) and (8,2). What is the value of v?
Answer:
Step-by-step explanation:
Given that,
Slope of line is 8
m=8
And we are given two points where the line pass through
(x1,y1) = (9,v). ; x1=9, y1=v
(x2,y2)= (8,2). ; x2=8, y2=2
The slope of a line is given as
m=∆y/∆x
m=(y2-y1)/(x2-x1)
8=(2-v)/(8-9)
8=(2-v)/(-1)
Cross multiply
8×-1=2-v
-8=2-v
Subtract 2 from both sides
-8-2=2-v-2
-10=-v
Divide both sides by -1
-10/-1=-v/-1
Note, -÷-=+
10=v
Then v=10
We can write this as an expression:
[tex]\frac{2-v}{8-9}=8[/tex] → [tex]\frac{2-v}{-1}=8[/tex]
Now, lets solve for v.
[tex]\frac{2-v}{-1}=8[/tex]
~Multiply -1 to both sides
[tex]\frac{2-v}{-1}[/tex] * -1 = 8 * -1
~Simplify
2 - v = -8
~Subtract 2 to both sides
2 - 2 - v = -8 - 2
~Simplify
-v = -10
~Divide -1 to both sides
-v/-1 = -10/-1
~Simplify
v = 10
Best of Luck!
Divide: −96 ÷ −12 = A) −8 B) −7 C) 6 D) 8
Answer:
The answer is D
Step-by-step explanation:
Answer: 8, option D is correct
Step-by-step explanation:
In solving this problem, bear in mind that negative and negative gives positive as a mathematical rule, therefore, for this question, - ÷ - will give +
-96 ÷ -12
= 8
I hope this helps.
If Carl, Steve and John have 40 sweets to share and John gets the most out of all three. What’s the smallest amount he can get?
Answer:
13 +13 +14 ensures he is getting the smallest amount so its 14
Step-by-step explanation:
PLEASE HELP!!
What transformation can you use to obtain the graph of f(x)=(1/2)^x from the graph of f(x)=2^x?
Answer:
[tex]f(x) = 2^{-x}[/tex]
Step-by-step explanation:
The transformation is a reflection across the y-axis
A reflection across the y-axis is produced by putting a negative sign in front of the x.
Segments CD, AE, and BF are medians of triangle ABC.
What is the value of x?
A. x = 1.9
B. x = 2.7
C. x = 5.5
D. x = 11
Option C: x = 5.5 is the value of x
Explanation:
Given that CD, AE, an BF are the medians of the triangle ABC
Also, given that [tex]AM = 4x - 5[/tex] and [tex]ME=x+3[/tex]
We need to determine the value of x.
Since, we know that the centroid divides the median in the ratio 2 : 1
Hence, we have,
[tex]AM=2\times ME[/tex]
Substituting the values, we get,
[tex]4x-5=2(x+3)[/tex]
Simplifying, we get,
[tex]4x-5=2x+6[/tex]
Subtracting both sides of the equation by 2x, we have,
[tex]2x-5=6[/tex]
Adding both sides of the equation by 5, we have,
[tex]2x=11[/tex]
Dividing both sides of the equation by 2, we get,
[tex]x=5.5[/tex]
Therefore, the value of x is 5.5
Hence, Option C is the correct answer.
PLEASE HURRY!!!!
Use the triangle diagram to answer the questions.
1. What is the length of RS?
A. 12
B. 6
C. 22
D. 24
2. What is the value of x?
A. 6.5
B. 6
C. 11
D. 5.5
3. What is the value of y?
A. 15.9
B. 11
C. 5.3
D. 3.7
4. What is the length of UW?
A. 11
B. 6
C. 7.95
D. 22
5. What is the length of UV?
A. 11
B. 7.95
C. 15.9
D. 12
1. D
2. D
3. c
4. A
5. C
I'm not 100% sure about these. Just letting you know.
Similar triangles may or may not be congruent.
1. The length of RS
Since U and V are the midpoints, then:
[tex]\mathbf{RS = 12 + 12}[/tex]
[tex]\mathbf{RS = 24}[/tex]
Hence, the length of RS is (d) 24
2. The value of x
This is calculated as:
[tex]\mathbf{SV = VT}[/tex]
So, we have:
[tex]\mathbf{2x = 11}[/tex]
Divide both sides by 2
[tex]\mathbf{x = 5.5}[/tex]
Hence, the value of x is (d) 5.5
3. The value of y
This is calculated as:
[tex]\mathbf{WT = WR}[/tex]
So, we have:
[tex]\mathbf{3y = 15.9}[/tex]
Divide both sides by 3
[tex]\mathbf{y = 5.3}[/tex]
Hence, the value of y is (d) 5.3
4. The value of UW
This is calculated as:
[tex]\mathbf{UW = 2x}[/tex]
So, we have:
[tex]\mathbf{UW = 2 \times 5.5}[/tex]
[tex]\mathbf{UW = 11}[/tex]
Hence, the value of UW is (a) 11
5. The value of UV
This is calculated as:
[tex]\mathbf{UV = RW}[/tex]
So, we have:
[tex]\mathbf{UV = 15.9}[/tex]
Hence, the value of UV is (c) 15.9
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What is 27.91111 repeating as a decimal
Answer: It is already a decimal???
Step-by-step explanation:
F(x) =-x+1, Evaluate f(x+h)
Answer:
-1
Explanation:
Find components of the definition.
[tex]f(x+h)=-h-x+1\\f(x)=-x+1[/tex]
Plug in components
[tex]\frac{f(x+h)-f(x)}{h} = \frac{-h-x+1-(-x+1)}{h}[/tex]
Simplify.
-1
1. What is the value of h? (1 point)
04
O 8 square root 3
016
O8square root 2
Answer:
D) 8sqrt(2)
Step-by-step explanation:
h² = 8² + 8²
h² = 2(8²)
h = 8sqrt(2)
ANSWER TO BE NAMED BRAINLIEST GET A THANK YOU A FOLLOW AND 25 PPTS
What is the volume of the right rectangular prism shown?
24 cm3
192 cm3
32 cm3
48 cm3
Answer:
192 cm^3
Step-by-step explanation:
Volume for rectangular prism is V=l*w*h
V=8*4*6=32*6=192
So volume is 192 cm^3
a fair charges an admisson fee for $8. Each ride is an addition $2. he equation y=8+2x describes the total x charge for y. Graph it
Answer:
When graphing in this problem we will be graphing the equation y=2x+8, where the 2x represents the fee for each ride, and 8 represents the fee to get in.
When graphing y=2x+8, you 8 is where it is going to be on the y-intercept, so the first step is to put a dot on the 8 on the y-axis. Then from that point (y-intercept) you would go up 2 and over 1, because that is your slope (2x), then you continue on with your slope up 2 and over 1, until you reach the top of your graph.
Hope this helps ;)
plsss show how to solve and solve honestly
For the given triangle, the tan of angle A equals C.
Step-by-step explanation:
Step 1:
For the given triangle, the hiking route is represented by AB and the change in elevation is represented by BC.
So we need to calculate the value of BC for the given triangle
Step 2:
In the given triangle, the opposite side has a length of 'a' feet, the adjacent side has a length of 'b' feet while the triangle's hypotenuse measures 400 feet.
To calculate the opposite side of the triangle, we can use the sine of any angle in that particular triangle. The sine of a particular angle is the opposite side's length divided by the hypotenuse's length.
sin A = [tex]\frac{oppositeside}{hypotenuse}[/tex] .
Step 3;
The length of the opposite side = a,
The length of the hypotenuse side = 400 units.
[tex]\sin A=\frac{a}{400}, \sin 25^{\circ}=0.4226[/tex]. So
[tex]0.4226=\frac{a}{400}, a=0.4226 \times 400[/tex] = 169.04 feet.
So the change in elevation is 169.04 feet.
What is the probability of selecting an even number, if you choose a number randomly {4, 10, 6, 9, 2, 14}
Approximately 67% there are 6 numbers and 4 of them are even So you have to divide 100 and 6 then multiply the answer by 4
what is the measure of CED?
Solve the division problem. Round answer to the nearest hundredth. 9.2 divided by52.063
Answer: 0.18
Step-by-step explanation:
An object is thrown straight up from the top of a 100-foot platform at a velocity of 48 feet per second. The height h(t) of the object t seconds after being thrown is given by [tex]h(t)=-16t^{2}+48t+100[/tex]. Find the maximum height reached by the object and the time it takes to achieve this height.
Answer:
The maximum height is 136 ftThe time it takes to achieve this height is 1.5 s.Explanation:
1. Function for the height (given):
[tex]h(t)=-16t^2+48t+100[/tex]
2. Type of function
That is a quadatic function, whose graph is a parabola that opens downward.
The maximum of the function, i.e. the maximum height, is the vertex of the parabola.
The vertex of a parabola with the genral equation [tex]y=ax^2+bx+c[/tex] is at the x-coordinate
[tex]x=-b/(2a)[/tex]
3. Time to achieve the maximum height
Substitute b with 48 and a with - 16:
[tex]t=-48/(2(-16))=48/32=3/2=1.5[/tex]
Then, time when the object achieves the maximum height it 1.5s
4. Maximum height:
Replace t with 1.5 in the equation, to find the maximum height, h(1.5)
[tex]h(1.5)=-16(1.5)^2+48(1.5)+100=136[/tex]
Then, the maximum height is 136 ft