Answer:
It would be between -3 and 2
Step-by-step explanation:
cause -2.5 is greater than -3 and its less than 2
We say this because -2.5 is greater than -3 and is smaller than 2 , which means it will fall between these two numbers .
6. A company car purchased for $39,600 depreciates at 12% per annum. What is the car
worth after 3 years?
Answer:
$26,986.29
Step-by-step explanation:
We can use the formula for calculating the depreciation of an asset over time:
wor
\(\bold{D = P(1 - \frac{r}{100} )^t}\)
where:
D= the current value of the asset
P = the initial purchase price of the asset
r = the annual depreciation rate as a decimal
t = the number of years the asset has been in use
In this case, we have:
P = $39,600
r = 12% = 0.12
t = 3 years
Substituting these values into the formula, we get:
\(D= 39,600(1 - \frac{12}{100})^3\\D= 39,600(1 - 0.12)^3\\D= 39,600*0.88^3\\D= 39,600*0.681472\\D=26986.2912\)
Therefore, the car is worth approximately $26,986.29 after 3 years of depreciation at a rate of 12% per annum.
Answer:
$26,986.29
Step-by-step explanation:
As the car's value depreciates at a constant rate of 12% per annum, we can use the exponential decay formula to create a function for the value of the car f(t) after t years.
Exponential Decay formula\(\boxed{f(t)=a(1-r)^t}\)
where:
f(t) is the value of the car (in dollars) after t years.a is the initial value of the car.r is the depreciation rate (as a decimal).t is the time period (number of years after purchase).In this case, the initial value is $39,600, and the rate of depreciation is 12% per year. Therefore, the function that models the value of the car after t years is:
\(f(t)=39600(1-0.12)^t\)
\(f(t)=39600(0.88)^t\)
To calculate the value of the car after 3 years, substitute t = 3 into the function:
\(\begin{aligned} f(3)&=39600(0.88)^3\\&=39600(0.681472)\\&=26986.2912\\&=26986.29\;(\sf 2\;d.p.)\end{aligned}\)
Therefore, the car is worth $26,986.29 after 3 years.
i'll mark brainliest thanks in advance ·
Answer:
Isosceles
Step-by-step explanation:
Answer: It is an Isosceles triangle because two sides are equal. Hope this helps!
I need help with this
Given the drawing as shown below and that pllq. Which of the following cannot be supported by the evidence shown? Worth 10 points
The relation that can not be supported by the evidence in the image is option B
What happens when a transversal cuts a parallel line?
Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.
Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.
Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.
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20 percent of 30 dvide 100
To find 20 percent of 30, you can multiply 30 by 0.2 (which is the decimal equivalent of 20 percent):
20% of 30 = 0.2 x 30 = 6
So, 20 percent of 30 is 6.
To divide 6 by 100, you can simply move the decimal point two places to the left:
6 ÷ 100 = 0.06
Therefore, if you want to find what is 20% of 30 and then divide that result by 100, the answer is 0.06.
Growth models question
The recursive formula for this problem is given as follows:
\(P_n = 1.05 \times P_{n - 1}\)
The explicit formula for this problem is given as follows:
\(P_n = 150(1.05)^n\)
The number of tickets in 2026 is given as follows:
297 tickets.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number which is defined as the common ratio q.
The explicit formula of the sequence is given as follows:
\(a_n = a_1q^{n}\)
In which \(a_1\) is the first term.
The parameter values for this problem are given as follows:
\(a_1 = 150, q = 1.05\)
Hence the function is given as follows:
\(P_n = 150(1.05)^n\)
2026 is 14 years after 2012, hence the number of tickets is given as follows:
\(P_{14} = 150(1.05)^{14} = 297\)
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Write the equation of the circle graphed below
Answer:
there is no circle
Step-by-step explanation:
you can add a photo with the lil link looking thing when you first ask the question
Answer:
srry no circle. I'd be happy to help if you update it tho.
Step-by-step explanation:
Use the number line below to answer the question.
-I---I---I---I---I---I---I---I---I---I---I-
-5 -4 -3 -2 -1 0 1 2 3 4 5
What is 3 - 6?
Consider the following triangle. A right triangle. The hypotenuse is 5 feet, the side opposite to angle theta is 3 feet, the side adjacent to angle theta is 4 feet. If sin Theta = three-fifths, what is the measure of the angle? a. 53.1º b. 36.9º c. 30.1º d. 59º
The measure of the angle is 36.9^o. Option B.
What is a right triangle?A right triangle is a form or type of triangle in which the measure of one of its internal angles is 90^o. As such, either the trigonometric functions or Pythagorean theorem can be applied to determine any of its properties as the case may be.
From the details given in the question, we can deduced that;
Sin θ = 3/5
= 0.6
So that,
θ = Sin^-1 0.6
= 36.87
θ = 36.9^o
The measure of the angle is 36.9^o. Option B.
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How many lives does a cat have, also there are 20cats in the room, how many cat lives are in the room
Answer:
20
Step-by-step explanation:
Technically cats only have one life even though they can survive falls and such
Pleaseeeeeeeeee helppppp me no links
Answer:
Base:12
Volume:76.8
Step-by-step explanation:
The base is 3*8/2
which is 12
and the volume is base * height so
12*6.4
=76.8
Hope this helps :) Giving me brainiest would help a lot :))
A ski club charges $70 for a lift ticket and $20 per hour to ski. Jim paid at least $130 last week to ski. How many hours would he have skied.
Answer:
Step-by-step explanation: $130-$70 lift = $60/$20 per hour= 3 hours ski time
use the figure to solve for X.
I tried looking this one up and all i’m getting is 11/3 and it’s wrong. Please help
Answer:
x = -1
Step-by-step explanation:
\(5+2x+6=x+10\\2x+11=x+10\\x+11=10\\x=-1\)
pls help me in this question it is really needed
Answer:
6 1/8 ×10 2/7= 60
60÷2 1/3= 30
The answer:
30
f(x)=-1.8x^2 +21.2x-55.4
Answer:
What is the question?
The weight of a blue whale is about 200,000
Kg, oe 2 x 10^5 Kg. The weight of a White
rhinoceros is about 2000 kg, 02 2x 10^3
kg. About how namely many
times
heavier is the blue whale than
the rhinoceros?
Answer: 1 x 10^2 times <33 , i took the quiz so i know for a fact its true.
Step-by-step explanation:
Blue whale is 100 times heavier than the rhinoceros.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.
Given that, the weight of a blue whale is about 200,000 kg or 2×10⁵ and the weight of a White rhinoceros is about 2000 kg or 2×10³ kg.
Now, the number of times blue whale heavier than the rhinoceros is
2×10⁵/2×10³
= 1×10²
= 100
Therefore, blue whale is 100 times heavier than the rhinoceros.
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football team gained 9 yards on one play and then 22 yards on the next. Write a sum of integers to find the overall change in field position A.
gained 9 yards, then lost 22:
9-22=c
-13=c
Therefore, the football team lost 13 yards in overall change in field position. Meaning, the team didn't gain any yards, they lost 13.
Answer:
Step-by-step explanation:
Gained -> (+) added
Since the team gained 9 yards and then gained another 22 yards, they gained 9+22, or 31 yards total.
Determine whether the stochastic matrix P is regular. p= | 0.5 0.1 || 0.5 0.9 |Find the steady state matrix x of the Markov chain with matrix of transition probabilities P. (If the system has an infinite number of solutions, express X1, and x2 in terms of the parameter t.)
The consistent state lattice x is equivalent to (0.6, 0.9), and the stochastic matrix P is normal.
To decide if a stochastic grid P is standard, we should initially compute the consistent state matrix x of the Markov chain with a matrix of change probabilities P. To do this, we set up the situation Px = x and address for x.
We can communicate the components of x as far as a boundary t as follows:
x1= 0.5t + 0.1
x2= 0.5t + 0.9
We can then settle for t in view of the amount of x1 and x2. The amount of x1 and x2 ought to be equivalent to 1, so:
0.5t + 0.1 + 0.5t + 0.9 = 1
t = 1
Therefore, The consistent state lattice x is equivalent to (0.6, 0.9).
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Pls ingore all of the questions below, but help me with the attached image
What is the only number that has the same number of letters as it's meaning? ...
What number doesn't have its own Roman numeral? ...
What is the only even prime number? ...
What is the smallest perfect number? ...
What is our current numerical system based on? ...
Is Pi a rational or irrational number?
Answer: y=5
Step-by-step explanation:
114+7y+y+26=180
8y+140=180
-140 -140
8y=40
8 8
y=5
In a class of a 21 students, 16 are female and 15 have an A in the class. There are 2
students who are male and do not have an A in the class. What is the probability that
a student chosen randomly from the class does not have an A?
Answer:
2/7
Step-by-step explanation:
Trust me.
Part 1: Parallel & Skew Lines & Planes
1.) Name a segment skew to line AB.
2.) Name a segment parallel to line AD.
3.) Name a plane parallel to plane DCH.
4.) Name a plane that is NOT parallel to plane EFG.
This prompt is about Parallel and Skewed Lines. With regard to the attached image:
The segment skew to line AB is: EFa segment parallel to line AD is EHa plane parallel to plane DCHG is ABEFa plane that is NOT parallel to plane EFGH is DCHG.What is a Skew Line?A pair of skew lines are two lines that do not cross and do not share the same plane. Skew lines are lines that run in entirely opposite directions, similar to "random" lines.
Skew lines are lines that are in distinct planes and never parallel or meet. Parallel lines, on the other hand, are lines that are in the same plane but never meet. Parallel lines, in other words, must exist in two planes; they are parallel inside the same plane.
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The surface area of a cone with radius r units and slant height s units is shown below:
Surface area = 3.14(rs + r2)
Part A: If r = 2 units and s = 3 units, write an expression that can be used to calculate the surface area of the cone. (4 points)
Part B: What is the surface area of the cone? Show your work. (6 points)
Answer:
A: 3.14(2 × 3 + 22)
B: 31.4
2x3=6
2x2=4
4 + 6= 10
14 × 10 = 31.4
Step-by-step explanation:
The surface area of the required cone is 31.4 units²
What is the volume of a cone?The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.
The volume of the cone (V )= 1/3πhr²
We have been given that the surface area of a cone with radius r units and slant height s units
⇒ Surface area = 3.14(rs + r²)
Here r = 2 units and s = 3 units,
Substitute the values of r = 2 and s = 3 ,
So the surface area of the cone = 3.14(2 × 3 + 2²)
The surface area of the cone = 3.14(6 + 4)
The surface area of the cone = 3.14(10)
The surface area of the cone = 31.4
Hence, the surface area of the required cone is 31.4 units²
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Given the equation y=1/3x+2 what is the rate of change?
Answer:
1/3
Step-by-step explanation:
thats the slope so im assuming :/
Drag the tiles to the correct boxes to complete the pairs.
Match each given domain of the function f(I):
with its corresponding range.
{40, 45, 50, 55, 60)
{52, 56, 63, 67, 71}
{37, 46, 49, 55, 57)
{44, 51, 59, 66, 73}
Range
Domain
{20.8, 22.4. 25.2, 26.8, 28.4) <
{16, 18, 20, 22, 24)
(17.6, 20.4, 23.6, 26.4, 29.2)
(14.8, 18.4, 19.6, 22, 22.8)
(40, 45, 50, 55, 60) to (16, 18, 20, 22, 24)
{52, 56, 63, 67, 71} to {20.8, 22.4. 25.2, 26.8, 28.4}
{37, 46, 49, 55, 57} to (17.6, 20.4, 23.6, 26.4, 29.2)
{44, 51, 59, 66, 73} to (14.8, 18.4, 19.6, 22, 22.8)
Domain is the set of all values for which the function is defined. Range is the set of value inside the domain function.
The ranges and domain functions are given which needs to be matched correctly.
This also referred to as input and output function which will create a range and domain function.
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Answer:
I did the test and got this so just change these two and it will be correct
Step-by-step explanation:
I did test on edmentum/PLATO
Use properties of logarithms to condense the logarithmic expression. Write the expression as a
single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
8ln (x-6) - 11 In x
We can rewrite the expression as ln(x-6) - 11*ln(x)/8, which can then be evaluated by using a calculator.
What is logarithm?Logarithmic functions can be used to describe relationships between two variables that involve exponential rates of change.
The logarithmic expression 8ln (x-6) - 11 In x can be written as a single logarithm whose coefficient is 1 by using the properties of logarithms.
First, we rearrange the terms to put the ln terms together: 8ln (x-6) - 11lnx = ln(x-6) - 11lnx/8.
We can then use the property of logarithms that states that
log(ab) = log a + log b.
This allows us to rewrite the expression as ln(x-6/x¹¹/8). Finally, we can simplify the expression by using the property of logarithms that states that log(a/b) = loga - logb. This allows us to rewrite the expression as ln(x-6) - ln(x¹¹/8). The final expression is ln(x-6) - ln[(x¹¹/8)], which is a single logarithm whose coefficient is 1.
If we were to evaluate the expression, we could use the property of logarithms that states that logaᵇ = b*log a.
We can rewrite the expression as ln(x-6) - 11*ln(x)/8, which can then be evaluated by using a calculator.
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5 + 14 x y = 9 x y - 5
Answer:
xy = -2
Step-by-step explanation:
To solve:
5 + 14xy = 9xy - 5
=> First subtract 9xy from each side of "="
5 + 5xy = -5
=> Now, subtract 5 from each side:
5xy = -10
=> Finally divide 5 on each side:
xy = -10/5
xy = -2
Hope this helps!
solve for x
15x -20=10x-5
Answer:
x = 3Step-by-step explanation:
\(15x -20=10x-5\)
Subtract 10x from both sides of the equation
That's
\(15x - 10x - 20 = 10x - 10x - 5 \\ 5x - 20 = - 5\)
Move - 20 to the other side of the equation
\(5x = 20 - 5 \\ 5 x = 15\)
Divide both sides by 5
\( \frac{5x}{5} = \frac{15}{5} \\ \)
We have the final answer as
x = 3Hope this helps you
Answer:
\(15x -20=10x-5\)
\(15x-20+20=10x-5+20\)
\(15x=10x+15\)
\(15x-10x=10x+15-10x\)
\(5x=15\)
\(\frac{5x}{5}=\frac{15}{5}\)
\(x=3\)
Help pls I need help
Answer:
From the origin , move 3 units to the right and 2 units up. B
Find the greatest common factor of 9n3 and 8n4.
Answer:
9 and 3 GCF is 3
8 and 4 GCF is 4
the GCF of 8,3,4,9 = 1
Step-by-step explanation:
find the value of banana
Answer:
36 divided by 3 is 12
watermelon = 12
28 - 12 = 16
16 divide 2
peach = 8
8-5 = 3
Banana = 5