Answer: The rate of change in the value of the guitar is modeled by 0.95, which represents a decrease of 5% per year.
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential decay function:
A = P (1 - r) t
Where:
p = original price
r = decrease rate (decimal form)
t= years
A = price after t years
Replacing with the values given:
A(t)=145(0.95)t.
Where
0.95 = 1-r
0.95-1 = r
-0.05 =-r
0.05 =r
Converting to percentage form:
0.05 x 100 = 5%
Feel free to ask for more if needed or if you did not understand something.
which expression shows the first step in dividing 5x + 3 by x?
8.
Describe how the graph of y = |x|- 4 is like the graph of y = |x| and how it is different.
Can anyone help 9th-grade geometry
Answer:
5 < x < 23
Step-by-step explanation:
let the third side be x , then
difference of 2 sides < x < sum of 2 sides
14 - 9 < x < 9 + 14 , that is
5 < x < 23
I will Rate you 5 stars and give you 30 points
A rectangle is graphed on the coordinate grid.
Which represents the equation of the side that is parallel to side s?
y=-x+9
y=-x-3
y=x+9
y=x-3
Answer:
y=x+9
Step-by-step explanation:
What are the solutions to the nonlinear system of equations below? Check all that apply x ^ 2 + y ^ 2 = 4 (x ^ 2)/(2 ^ 2) - (y ^ 2)/(2 ^ 2) = 1
Answer:
hey did you happen to get the answer for this?
Step-by-step explanation:
The answer is -2.0 and 2.0
Which expression is equal to the expression below?
(7•2)
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
When the exponent is outside the parenthesis, the exponent is connected to every part of the equation.
Evaluate the expression below when x = 9 and y = 12.
4(x + 6) - 3(y + 4)
Simplify
8c^3d^2
4cd^2
Answer:
[tex]2c^{2}[/tex]
Step-by-step explanation:
[tex]\frac{8c^33d^2}{4cd^2}[/tex]
[tex]\frac{2c^2d^0}{1}[/tex]
Answer:
[tex]2 {c}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{8 {c}^{3} {d}^{2} }{4 {c}^{1} {d}^{2} } \\ = 2 {c}^{3 - 1} {d}^{2 - 2} \\ = 2 {c}^{2} {d}^{0} [/tex]
we know that,
[tex] {d}^{0} = 1[/tex]
so,
[tex] = 2 {c}^{2} {d}^{0} \\ = 2 \times {c}^{2} \times 1 \\ = 2 {c}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
O is the centre of the circle and ABC and EDC are tangents to the circle. Find the size of angle BCD. You must give reasons in your answers.
Answer:
mBCD = 28°
Step-by-step explanation:
The angle mBFD inscribes the arc mBD, so we have that:
mBFD = mBD/2
76 = mBD/2
mBD = 152°
The angle mBOD is a central angle related to the arc mBD, so we have that:
mBOD = mBD = 152°
In the quadrilateral BODC, the sum of internal angles needs to be equal to 360° (property of all convex quadrilaterals). The angles mCBO and mCDO are right angles, because EDC and ABC are tangents to the circle.
So, we have that:
mBOD + mCDO + mBCD + mCBO = 360
152 + 90 + mBCD + 90 = 360
mBCD = 360 - 90 - 90 - 152
mBCD = 28°
Find the slope-intercept equation of the line containing (1.-4) and having slope m = 3
Answer:
y=3x-7
Step-by-step explanation:
What is the value of the expression Negative 225 divided by (negative 15)?
Answer:
The Answer is 15
Step-by-step explanation:
the answer is 15 because that is what i got after i did all the work and i got it correct.
I need help ASAP I shall give brainlyist (idk how to spell)
Answer:
Step-by-step explanation:
Part A
[tex]V=\pi r^2h=\pi *2.5^2*7.5=147.26\\=147in^3\\[/tex]
Part B
[tex]r=\sqrt{\frac{V}{\pi h} } \\=\sqrt{\frac{75}{\pi *6} } \\=1.99\\=2in[/tex]
How many times does 2 go into 5?
Answer:
answer is 2.5 times....
There are 2.5 times does 2 go into 5.
Since, Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that,
To find what times does 2 go into 5.
Now, We can solve as by divide 5 by 2,
⇒ 5 / 2
⇒ 2.5
Thus, A number 5 is 2.5 times 2.
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Madeline is writing a computer program for class. The first day she wrote 5 lines of code. She wrote 15 lines of code on the second day and 45 on the third day. Find the total amount of lines of code written after all 6 days.
Answer:
1215
5×3,15×3,45×3,135×3,405×3=1215
Fully Factorise 5k^2+7k
Answer:
k(5k +7)
Step-by-step explanation:
The only factor which is available in both 5k^2 and 7k is k, so you take k outside the bracket and then put the remaining in the brackets
Answer:
5k^2+7k = k(5k+7)
Step-by-step explanation:
5k^2/k = 5k
7k/k = 7
Jorge solves the equation 4 x minus (x + 2) + 6 = 2 (3 x + 8) using the steps below. Step 1: 4 x minus x + 2 + 6 = 6 x + 16 Step 2: 3 x + 8 = 6 x + 16 Step 3: 8 minus 16 = 6 x minus 3 x Step 4: Negative 8 = 3 x Step 5: Negative StartFraction 8 Over 3 EndFraction = x BRAINLISEST
Answer:
The solution of the given equation is x = -4
Step-by-step explanation:
Explanation:-
Given expression 4 x - (x +2) +6 = 2 (3 x+8)
Step(i):-
4 x - (x +2) +6 = 2 (3 x+8)
4 x - x -2 + 6 = 6 x + 16
step(ii):-
3 x + 4 = 6 x + 16
subtracting '4' on both sides , we get
3 x + 4 - 4 = 6 x + 16 - 4
3 x = 6 x + 12
Step(iii):-
Subtracting '6x' on both sides , we get
3 x - 6 x = 6 x - 6 x + 12
- 3 x = 12
Step(iv):-
Dividing '-3' on both sides , we get
[tex]\frac{-3x}{-3} = \frac{12}{-3}[/tex]
x = - 4
Final answer:-
The solution of the given equation is x = -4
Verification:-
4 x - (x +2) +6 = 2 (3 x+8)
put x = -4
4 ( -4) - ( - 4 +2) +6 = 2 (3(-4)+8)
-16+2+6 = 2 (-12+8)
-8 = -8
Both are equal
Answer:
For everyone on Edge, It's A: He distributed incorrectly.
Step-by-step explanation:
he didn't distribute at all so
im pretty sure.
Can someone please help me with this question please:(
Answer:
Since the figures are congruent, their areas must also be congruent so the answer is 28.
A SSS
B AAA
C SSA
D None of the choices are correct
Answer:
B
Step-by-step explanation:
Answer:
AAA
Step-by-step explanation:
We see that three set of angles are the same in the different triangle hence
It is congruent by Angle Angle Angle AAA
<UST = <QSR
<UTS = < QRS
<TUS = < SQR
21 ≤ 3 + 9x please help me solve the inequality
Answer:
x ≥ 2
Step-by-step explanation:
21 ≤ 3 + 9x
21 - 3 ≤ 9x
18 ≤ 9x
18 ÷ 9 ≤ x
2 ≤ x
x ≥ 2
The solution to the inequality 21 ≤ 3 + 9x by combining like terms and solving for x is, x ≥ 2.
Used the concept of inequality which states that,
A relation by which we can compare two or more mathematical expressions is called an inequality.
Given that,
The inequality is,
21 ≤ 3 + 9x
Now, simplify the inequality by combining like terms and solving for x,
21 ≤ 3 + 9x
Subtract 3 on both sides,
21 - 3 ≤ 9x
18 ≤ 9x
It can be written as,
9x ≥ 18
9x - 18 ≥ 0
Take 9 as common,
9 (x - 2) ≥ 0
x - 2 ≥ 0
Therefore, the solution of expression is,
x ≥ 0
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Need help please help me
Answer:
0.000000207 in scientific notation = 2.07 × 10^-7
Remember it has to have one number before the decimal.
8.2 * 10^-7 in standard form = 0.00000082
YOu have to move the decimal back.
In the first box the answer is 2.07 × 10^-7.
In the second box the answer is 0.00000082.
The admission fee at a concert is $4.00 for children and $8.00 for adults. On the first day, 2350 people enter the concert and $12400 is collected. How many children attended?
Answer:
1,600
Step-by-step explanation:
C=4.00
A=8.00
C+A=2,350
C=2,350-A
4C+8A=12,400
4(2,350-A)+8A=12,400
9,400-4A+8A=12,400
4A=12,400-9,400
4A=3,000
A=3,000/4
A=750 ADULTS ATTENDED.
C+750=2,350
C=2,350-750
C=1,600 CHILDREN ATTENDED.
Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent.
Answer:
About 51.5%
Step-by-step explanation:
The volume of the prism currently is (9*4)/2*11=18*11=198 cubic feet. If you added a foot to each dimension, the volume would be 10*5/2*12=25*12=300. (300-198)/198=102/198 a percent increase of about 51.5%. Hope this helps!
Answer:
About 51.5%
Step-by-step explanation:
Make a magic square using only first nine odd numbers: 1, 3, 5, 7, 9, 11, 13, 15, 17. (In a magic square, the numbers in each row, in each column, and along each diagonal have the same sum.)
Answer: [tex]\left[\begin{array}{ccc}11&13&3\\1&9&17\\15&5&7\end{array}\right][/tex]
Step-by-step explanation:
A magic cube is something like:
[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
Where the numbers that we must use are:
1, 3, 5, 7, 9, 11, 13, 15, 17
If we take the addition of those 9 numbers, we get 81.
Now, we divide it by 3 (the number of numbers in each row or column) and get:
81/3 = 27
so the sum in each row, column and diagonal must be 27.
1 + 9 + 17 = 27
13 + 11 + 3 = 27
5 + 7 + 15 = 27
9 + 13 + 5 = 27
You can keep playing with this, and then start forming our number cube, some of the hints tat we can use is that the median of the group is 9, so it must be in the middle of the cuve, and the extremes, 1 and 17, must be in the same column or row as 9.
so we start with:
[tex]\left[\begin{array}{ccc}x&x&x\\1&9&17\\x&x&x\end{array}\right][/tex]
and start to fill the empty spaces, now we can use that
1 + 11 + 15 = 27 and get:
[tex]\left[\begin{array}{ccc}11&x&x\\1&9&17\\15&x&x\end{array}\right][/tex]
now for the diagonals:
11 + 9 + 7 = 27
15 + 9 + 3 = 27
[tex]\left[\begin{array}{ccc}11&x&3\\1&9&17\\15&x&7\end{array}\right][/tex]
and for the last one:
11 + 3 + 13 = 27
15 + 7 + 5 = 27
[tex]\left[\begin{array}{ccc}11&13&3\\1&9&17\\15&5&7\end{array}\right][/tex]
What is the value of x?
0
va units
1v3 units
2/3 units
3/2 units
Answer:
Step-by-step
In ordinary arithmetic, the expression has no meaning, as there is no number which, when multiplied by 0, gives a (assuming a ≠ 0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 00 is also undefined; when it is the form of a limit, it is an indeterminate form. explanation:
Can someone help? Thanks :D
Answer:
[tex]y\leq -x+4[/tex]
Step-by-step explanation:
The first thing that we can do is look at the equation of the line and then worry about the inequality afterwards.
This line has a y-intercept of 4 and a slope of -1.
This means that the equation of this line would be [tex]y=-x+4[/tex]
Now that we have the equation of the line, we just need to determine which inequality sign to use.
As the shaded region is BELOW the line, we will use a less than (<) sign.
As the line is fully shaded, I can only assume that it is meant to include the line, which would mean that [tex]y\leq -x+4[/tex] would be the equation for this inequality.
Solve the volume formula V= /wh for h.
Answer:
V = lwh
/lw /lw
h = V/lwFirst isolate the variable by seperating lw from the side that h is on. You do this by dividing both sides by lw. This will result in h being volume over lenght and width.
Can u help with this question please
Answer:
a > -21 1/3
Step-by-step explanation:
3/4a > -16
Multiply each side by 4/3
4/3 * 3/4a > -16 * 4/3
a > -64/3
a > -21 1/3
Which is an exponential decay function?
f(x)=3/4(7/4)^x
fx) = 2/3(4/5)^-x
f(x) = 3/2(8/7)^-x
f(x)= 1/3(-9/2)^x
Answer:
c)3/2(8/7)^x
Step-by-step explanation:
Evaluate the functions.
1. Because 7/4 > 1 and the exponent is positive,
the function does not decay.
2.Because 4/5 < 1 and the exponent is negative,
the function does not decay.
3. Because 8/7 > 1 and the exponent is negative,
the function decays.
4. Because 9/2 > 1 and the exponent is positive,
the function does not decay.
A composite plot the functions verifies the answer.
If all the x's are exponents, then 3/2 (8/7)^-x is the only one that decays as x gets bigger. That's because the base is greater than 1 and the x is negative.
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The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1
Exponential equationsThe standard form of an exponential equation is expressed as:
y = a(b)^x
where
a is the base
x is the exponent
b is the rate (determine whether the rate is growth or decay)
If the value of b is less than 1 then it is a decay function. The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1
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Which of the following statements uses the commutative property of addition
2+(3+4)=(2+3)+4
2+(3+4)=(2+3)+(2+4)
2+(3+4)=2+(4+3)
Answer:
the first one
Step-by-step explanation:
The second equation doesn't make sense because that's not a true statement. The third equation uses the associative property so the answer must be the first one.
6(5 – 3x) – 5(3x + 2)
Given
[tex]6(5-3x)-5(3x+2)[/tex]
Distribute
[tex](30 - 18x)+(-15x-10)[/tex]
Rearrange and solve
[tex](-18x+30)+(-15x-10)[/tex]
Subtract (30) to both sides
[tex](-18x+30)-30+(-15x-10)-30\\(-18x)+(-15x-40)[/tex]
Add (15x) to both sides
[tex]+15x(-18x)+(-15x-40)+15x\\-3x+40[/tex]
Your answer is
[tex]-3x+40[/tex]