We have been given that last month Maria purchased a new cell phone for $500. The store manager told her that her cell phone would depreciate by 70% every 6 months.
We know that an exponential function is in form [tex]y=a\cdot (1-r)^x[/tex], where,
y = Final value,
a = Initial value,
r = Decay rate in decimal form,
x = Time in years.
Let us convert [tex]70\%[/tex] into decimal form.
[tex]70\%=\frac{70}{100}=0.70[/tex]
Initial value of car is 500, so [tex]a=500[/tex].
Since value of phone depreciates every months, so value of phone will depreciate twice in a year.
Upon substituting our given values in exponential decay function, we will get:
[tex]V=500(1-0.70)^{2x}[/tex]
To find the value of phone after 2 years, we will substitute [tex]x=2[/tex] in our equation.
[tex]V=500(1-0.70)^{2(\cdot 2)}[/tex]
[tex]V=500(1-0.70)^{4}[/tex]
Therefore, option D is the correct choice.
Let us simplify our equation.
[tex]V=500(0.30)^{4}[/tex]
Therefore, option B is correct as well.
Possible side lengths for a rectangular frame are 6 inches, 10 inches, and 12 inches
If all measurements are whole numbers, which dimensions can be used to frame a
picture that has an area between 45 and 50 square inches?
A. 6 in. by 8 in., 10 in. by 5 in., 12 in. by 4 in.
B. 6 in. by 7 in., 10 in. by 5 in., 12 in. by 4 in.
C. 6 in. by 8 in., 10 in. by 4 in., 12 in. by 4 in.
D. 6 in. by 7 in., 6 in. by 8 in., 10 in. by 5 in., 12 in. by 4 in.
Answer:
A
Step-by-step explanation:
You have to times all of them to see the results. For example...
A. 48inches(6x8), 50inches(5x10), 48inches(12x4)
B. 42,50,48(42 is not within 45-50 inches so it can't be B)
C.48,40,48(40 is not within 45-50 inches so it can't be C)
D.42,48,50,48(42 is not within 45-50 inches so it can't be D)
meaning it's A
Starting at origin. do 4 space up and 3 spaces left
Answer:
The coordinates would be (3,4)
Step-by-step explanation:
If you draw all of the diagonals from one vertex of a regular octagon, how
many triangles do you make?
A. 8
B. 4
C. 5
D. 6
Answer:6
Step-by-step explanation:
1, Two lines meet at a point that is also the endpoint of a ray. Set up and solve the appropriate equations to determine and y.
2. Two lines meet at a point that is also the vertex of an angle. Set up and solve the appropriate equations to determine and .
3. Two lines meet at a point that is also the endpoint of two rays. Set up and solve the appropriate equations for and n?
THE PICTURES ARE IN order
Answer:
Take a look at explanation below;
Step-by-step explanation:
See attachment( s ) below;
The value of x and y angles on the given lines are x=35 degrees and y=125 degrees.
What is a straight line?A line is a collection of points which joins the two points on the surface.
How to calculate an angle?If we consider the angles which are linear pair, we found that
55 +y=180 because they are on a straight line.
From the figure wee found that x+55+90=180 because they are on a straight line.
solving the second equation we will get , x=180-145=35
solving the first equation we will get , y=180-55=125.
Hence the value of x angle is 35 degrees and the value of y angle is 125 degrees.
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The range of which function includes -4?
O y= √x-5
O y= √x+5
O y= √x+5
O y=√x-5
Answer: A is the correct answer .
Start with the last two choices .
You have x+ 5 and × - 5 in the square root .
A square root can never be negative .
That means that the lowest value of y can have in the last two choices is 0 .
Now range doesn't include -4.
Now look at choice B .
sqrt (x) is at least 0.
Then you add 5 .
The range doesn't include -4.
Now look at choice A .
sqrt (x) is at lest 0 .
Now ,you subract 5 .
The lowest value y can have is -5 . That includes -4.
Choice A is the answer .
y will be at least 5
Hope it works out !
Answer: Option 1 or A on your test
Step-by-step explanation: y= root of x-5
2) Find the common difference in the arithmetic sequence, an, in which a1 = 16 and a9 = 36.
[Show all work.]
The common difference in the arithmetic sequence is 2.5
What is arithmetic sequence ?
Arithmetic sequence is a sequence in which the differences between consecutive terms are always same.
Example : 2, 5, 8, 11, ..... is an arithmetic sequence where the common difference is 3.
What is the formula of arithmetic sequence ?Formula of arithmetic sequence is [tex]a_{n} =a_{1}+(n-1)d[/tex] ,
where [tex]a_{n}[/tex]= [tex]n^{th}[/tex] term in the sequence,
[tex]a_{1}[/tex]= [tex]1^{st}[/tex] term in the sequence,
d = common difference between terms
How to find required common difference ?Given, [tex]a_{1}[/tex] = 16 and [tex]a_{9}[/tex] = 36
Let, d be the common difference.
∴ From the formula of arithmetic sequence,
[tex]a_{9} =a_{1}+(9-1)d[/tex]
⇒ 36 = 16+8d
⇒ 36-16=8d
⇒ 20=8d
⇒ d = 20/8
⇒ d = 5/2 = 2.5
Hence, The common difference is 2.5
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what is the exact volume of the cylinder
Answer:
54π
Step-by-step explanation:
that's the answer ok
The graphs below have the same shape. What is the equation of the blue
graph?
G(x) =
A. G(x) = x^3+ 3
B. G(x) = x^3 -3
C. G(x) = (x-3)^3
D. G(x) = (x + 3)^3
Answer:
C
Step-by-step explanation:
One half the sum of nine and three
Your answer
Answer:
the answer is 6
Step-by-step explanation:
9+3=12
12÷2=6
Answer: 6
9 + 3 = 12
12 divided by 2 = 6
What is the value of log, 3437
Answer:
i got 3.5....................
EDGE 2020 NEED HELP
which is the graph of the function y=2 tan(x+3pi/4)
30 POINTS!!!!! PLEASE HELP
Answer:D
Step-by-step explanation:
Found on another page
Answer:
D
Step-by-step explanation:
What is the positive solution to the equation 0 = –x2 + 2x + 1? Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction –2 + StartRoot 2 EndRoot 2 – StartRoot 2 EndRoot 1 + StartRoot 2 EndRoot –1 + StartRoot 2 EndRoot
Answer:
x = 1 + sqrt 2
Step-by-step explanation
Answer:
c
Step-by-step explanation:
Can someone help me with this
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
[tex]4x = 1x + 15 \\ 4x - 1x = 15 \\ 3x = 15 \\ \frac{3x}{3} = \frac{15}{3} \\ x = 5[/tex]
Answer:
x=5
Step-by-step explanation:
[tex]4x = 1x + 15 |collect \: like \:terms | \\ 4x - 1x = 15 |simplify| \\ 3x = 15 |divide \:both \: side \: by \: 3 | \\ \frac{3x}{3} = \frac{15}{3} |simplify| \\ x = 5[/tex]
Question 27 Multiple Choice Worth 1 points)
(04.05)
The number of members to) in a baseball club increased by 45% every year over a period of x years. The function below shows the relationship between tog and
fox) = 25(1 457
Which of the following graphs best represents the function?
Answer:
Graph of f of x equals 25 multiplied by 1.45 to the power of x
Step-by-step explanation:
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After their hike, Joe and Mike took a taxi back to the trailhead. The taxi cost $26 plus $0.35 per mile. Which type of function could model the cost of the taxi ride?
Answer:
The answer would be A. 1 1/5
Step-by-step explanation:
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
You roll a number cube one time. What is the probability that you roll a 3 or 6? Enter your answer as a fraction in simplest form.
The probability that you roll 3 or 6 is____
Answer:
[tex] \frac{1}{3} [/tex]
Step-by-step explanation:
p(s) = 6p(a) = 2[tex] \frac{2}{6} [/tex]Variance and standard deviation
Answer: 8.3
Step-by-step explanation:
To find the variance, you want to find the mean of the data.
[tex]\frac{3+3+8+1+9+6}{6} =5[/tex]
Now that we have the mean, we find the difference between each data point and the mean.
3-5=-2
3-5=-2
8-5=3
1-5=-4
9-5=4
6-5=1
With the difference, you square each and find the average.
(-2)²=4
(-2)²=4
3²=9
(-4)²=16
4²=16
1²=1
[tex]\frac{4+4+9+16+16+1}{6} =\frac{25}{3}[/tex]
The variance is 8.3.
_____ are lines that are neither parallel nor intersecting.
Answer: Skew line
Step-by-step explanation:
Because it’s 3 dimensional
write a function a rental company charges $45 per day to rent a car as well as $25 fee for the car's navigation system
Answer:
f(x)=45x+25
Step-by-step explanation:
Question 4
Which fraction has the same value as 2 3/8
23/8
16/8
19/8
5/8
Answer:
19/8
Step-by-step explanation:
2*8+3=19
Put 19 over 8
Answer:
19/8
Step-by-step explanation:
19/8 has the same value as 2 3/8
2 3/8 as a mixed number is 19/8
To get this we multiply 2 by 8 and add 3. In other words we multiply 2 by the denominator and add the numerator:
2*8+3= 19
will give brainliest to best helper!
Answer:
26 in
Step-by-step explanation:
Perimeter is calculated by adding all of the outside side lengths.
11 + 7 + 4 + 4 = 26
Please answer CORRECTLY , Will mark brainliest !!!!!!
Answer:
A
Step-by-step explanation:
The graph represents the total costs for renting a bounce house or a dunk tank for a party. What is the meaning of (2, 20)? The rental cost for a dunk tanks starts at $20. The rental cost for a bounce house starts at $40. The costs for a dunk tank and bounce house are the same for 20 hours. The costs for a dunk tank and bounce house are the same for 2 hours.
Answer:
The costs for a dunk tank and bounce house are the same for 2 hours.
Step-by-step explanation:
The costs for a dunk tank and a bounce house are the same for 2 hours.
The meaning of the point (2, 20) on the graph is that the costs for a dunk tank and a bounce house are the same for 2 hours.
At this point, both the dunk tank and bounce house rentals cost $20.
It indicates the point of intersection between the two lines on the graph, where the costs for both options are equal.
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One supplementary angle is 15 degrees less than twice the other. Find the measure of the two supplementary angles.
Hey there!
To find our answer, we need to set up a system of equations. Remember, supplementary angles equal 180 degrees when combined. We will call one of our angles A and the other one B. Let's set it up below! :)
A=2B-15 (one angle is 15 degrees less than twice the other)
A+B=180
We need to find one of our variables. To do this, we only put one variable in the equation. But how, there are two variables in both equations! Well, as you can see, we see the A is equal to 2B-15, so we can take 2B-15 and put it into the second equation in place of A because it is equal to A, and then we will only have Bs and we can solve for it. This method is known as solving systems of equations with substitution.
Let's solve with substitution!
2B-15+B=180
3B-15=180 We combine our Bs.
3B=195 We add 15 to both sides.
B= 65 We divide both sides by three.
Now, we need to find what A is, but this will be really easy to do! If you remember, our angles are supplementary, so when you combine them, we will get 180, as you can see in our second equation in our first system of equations. So, we simply subtract 65 from 180.
180-65=115
Our two angles are 65° and 115°.
We can also check this with the original problem.
If you double 65, we have 130. Then, if we subtract 15, we have 115. Systems of equations are a pretty awesome way to figure this out!
I hope this helps! Have a great day!
Please answer CORRECTLY !!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
C.
Step-by-step explanation:
So just make the statement easier to read.
Simplify it down to 8 > 2 * 5
The students that had grade 8 was more than twice the number of students who got 5.
Answer:
cStep-by-step explanation:
the > is pointing at the 8 which means the 8 is bigger
Stacey rolls a number cube and flips a coin. what is the probability that she rolls a 5 and the coin lands heads up?
Answer:
1/12
Step-by-step explanation:
1/6 for the number cube
and 1/2 for the coin landing on heads
1/6 times 1/2
What is the solution to the inequality IX-4| <3?
Answer:
x > 1 and x< 7 , or it can be written as
(1 , 7)
Step-by-step explanation:
IX-4| < 3
x - 4 < 3 and - (x - 4) < 3
x< 7 - x + 4 < 3
- x < - 1
x > 1
x > 1 and x< 7
(1 , 7)
Determine the length of the arc that subtends an angle of 2.8 radians at the centre of a circle with a radius 12cm.
A. 13.3 cm
B. 33.6 cm
C. 16.8 cm
D. 148.0 cm
Answer:
B. 33.6 cm
Step-by-step explanation:
To find determine the length of an arc that subtends an angle of 2.8 radians at the centre of a circle with radius 12 cm, we will follow the steps below;
First write down the formula for calculating length of an arc
If the angle is measured in degree, then the formula for calculating the length of an arc is :
length of an arc = Ф/360 × 2πr
but if the angle is measured in radians, then the formula for calculating length of an arc will be:
length of an arc = r Ф
where r is the radius and Ф is the central angle in radians
In the case of the question given to us, the angle is given in radians, so we will use the second formula
angle Ф = 2.8
radius = 12 cm
length of an arc = r Ф
=12 × 2.8
=33.6
Length of the arc = 33.6 cm
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IF YOU DONT KNOW DONT ANSWER
Answer: A) Alternate Exterior
Step-by-step explanation:
Let's find out the defenition of alternate exterior; "If a pair of parallel lines are cut by a transversal line, then the alternate exterior angles are congruent".
I hope this helps!
Factor the polynomial F(x) =x^3-x^2-4x+4 completely.
Part 1: Find and list all the possible roots of F(x).
Part 2: Use the remainder Theorem to determine which of the roots from Part I are roots of F(x).
Part 3:Factor the polynomial F(x)=x^3-x^2-4x+4 completely show your work.
Part 4:check your answer from Part 3 by multiplying the factors. Show your work
Answer:
Step-by-step explanation:
PART 1:
Possible roots by noticing the coefficient of first term:
x = 1, -1
PART 2:
1 | 1 -1 -4 4
1 0 -4
1 0 -4 0
The remainder is zero, hence one factor is (x-1)
PART 3:
[tex]x^3-x^2-4x+4=(x^2-4)(x-1)\\\\x^3-x^2-4x+4=(x+2)(x-2)(x-1)[/tex]
PART 4:
[tex]f(x)=(x+2)(x-2)(x-1)\\\\=(x^2-4)(x-1)\\\\=x^3-4x-x^2+4\\\\=x^3-x^2-4x+4[/tex]