The value of a camcorder bought new for $2000 decreases 20% each year. Identify the function for the value of the camcorder. Does the function represent growth or decay?
A) V(t) = 2000(0.8)t; growth
B) V(t) = 2000(0.8)t; decay
C) V(t) = 2000(1.2)t; decay
D) V(t) = 2000(1.2)t; growth
Answers
20% decrease = (0.8)t
Answer: V(t) = 2000(0.8)t; decay
Step-by-step explanation:
Related Questions
Help plz.. Evaluate this expression: -(-(-(-1)))?
Thanks.
Answers
every pair of negative cancel out
-(-a)=a
so we can just keep flipping the signs
go inside to out
-(-(-(-1)))=
-(-(1))=
-(-1)=
1
The table shows the outputs, y, for different inputs, x: Input (x) 2 5 9 12 Output (y) 20 15 12 8 Part A: Do the data in this table represent a function? Justify your answer. (3 points) Part B: Compare the data in the table with the relation f(x) = 5x + 14. Which relation has a greater value when x = 9? (2 points) Part C: Using the relation in Part B, what is the value of x if f(x) = 64? (5 points)
Answers
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data in the table : when x = 9....this is already a point on the table (9,12)...so the value on the table, when x = 9, is 12
f(x) = 5x + 14....when x = 9
f(9) = 5(9) + 14
f(9) = 45 + 14
f(9) = 59
the relation with the greater value would be : f(x) = 5x + 14
=====================
f(x) = 5x + 14....when f(x) = 64
64 = 5x + 14
64 - 14 = 5x
50 = 5x
50/5 = x
10 = x <==
Answer:
D 17 2/9
Step-by-step explanation:
Is -1/2 rational or irrational
Answers
-1 and 2 are both integers because they are either whole numbers or of the opposite value (negative).
The square root of 32, expressed in terms of a simple radical is
Answers
What is the area of a regular pentagon with an apothem of 14 inches long and a side 20 inches long?
Answers
Answer:
[tex]\text{Area of regular pentagon is }700 inches^2[/tex]
Step-by-step explanation:
Given that a regular pentagon with an apothem of 14 inches and a side of 20 inches.
we have to find the area of pentagon.
Apothem=a=14 inches
Side of pentagon= 20 inches
[tex]Perimeter=s=20\times 5=100 inches[/tex]
[tex]\text{Area of regular pentagon=}\frac{1}[2}\times perimeter \times apothem[/tex]
[tex]=\frac{1}{2}\times 100\times 14=700inches^2[/tex]
[tex]\text{Area of regular pentagon is }700 inches^2[/tex]
Answer:700in
Step-by-step explanation:
The adams family is remodeling their family room. the room measures 14 feet by 20 feet, and the contractor wants $35 per square foot to remodel it. how much will it cost to remodel?
Answers
$35 * 280 sq ft = $ 9,800
Answer:
It would cost $9800 to remodel the room.
Step-by-step explanation:
The Adams family is remodeling their family room.
Length of the room = 20 feet
Width of the room = 14 feet
To get area of the room we use the formula
Area = Length × Width
A = 20 × 14 = 280 feet²
The contractor wants $35 per square foot to remodel it.
So it would cost = 280 × 35 = $9800
It would cost $9800 to remodel the room.
(4.4*10^6)*(3.9*10^4)
Scientific notation please help and explain
Answers
and
(3.9*10^4) = 39000
The exponents on top of the 10 tells you how many decimals you're supposed to move it to. If it's a negative number, you'll need to move the same amount of decimals, but to the left side instead.
for example: 4.3*10^-3 =0.0043
in this case, however, you should refer to the Laws of Exponents.
(4.4*10^6)*(3.9*10^4)
= 4.4 * 3.9 * 10^6 * 10^4
= 17.16 * 10^(6+4) <-- Law of Exponents say that when you multiply exponents with the same base, you add the exponents together.
= 17.16 * 10^10
Three bags of of potatoes and four cases of corn cost $40. Five bags of potatoes and two cases Of corn cost $34. Find the cost of one bag of potatoes and the cost of one case of corn. Show your work
Answers
3P + 4C = $40
5P + 2C = $34
Multiply -2 to the 2nd equation to get
-10P - 4C = -68
Add it to the 1st equation
3P + 4C = 40
-10P - 4C = -68
-----------------------
-7P = -28
Solve for P
P = $4
Substitute 4 into P(potato) to find what C(corn) is
Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at the ball field so he can reconstruct it when he gets home. Calculate the area of the polygon.
50 in2
59 in2
85 in2
90 in2
Answers
---------------------------------------------------------------------
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Work Shown:
A1 = Area of rectangle = length*width = 7*4 = 28 square inches
A2 = Area of triangle on top = 0.5*base*height = 0.5*7*6 = 21 square inches
A3 = Area of triangle on right side = 0.5*base*height = 0.5*4*5 = 10 square inches
Total Area = A1 + A2 + A3
Total Area = 28 + 21 + 10
Total Area = 59 square inches
how to make d the subject of V=ldh
Answers
d = V / lh
hope that helps
Find the least common multiple of 8c4 and 6c2 .
Answers
A 12 foot rope is cut into two pieces so that one piece is 3 feet less than twice the length of the other piece. how long is each piece?
Answers
12 feet long
1st piece = x
2nd piece = 2x-3
3x-3 =12
3x=15
x = 5
1st piece = 5 feet
2nd piece = 2*5=10-3=7 feet
What rank of the marine corps do you get the stripe on your pants?
Answers
This red stripe is :
2 inches (5.1 cm) for general officers,
1.5 inches (3.8 cm) for other officers, and
1.12 inches (2.8 cm) for enlisted Staff Noncommissioned Officers and Noncommissioned Officers.
Answer:
cpl and above. E-4 and above.
Step-by-step explanation:
Write a recursive formula for 16, 9, 7, 2, 5
Answers
7=16-9
2=9-7
5=7-2
the next term would be: 2-5=-3
so each term of the sequence is equal to its previous term, subtracted from the second previous term:
Also, in order to describe the formula, we need to express the 2 first terms, 1 is not enough.
The recursive formula is:
[tex]a_1=16[/tex]
[tex]a_2=9[/tex]
[tex]a_n_2=a_n_1-a_n[/tex]
Which of the following sets represents the range of the function shown?
{(−3, 4), (5, 11), (9, −1), (10, 13)} (5 points)
{−3, 5, 9, 10}
{−1, 4, 11, 13}
{(4, −3), (11, 5), (−1, 9), (13, 10)}
{−3, −1, 4, 5, 9, 10, 11, 13}
Answers
................................
Answer:
it's B guys
Step-by-step explanation:
If the ratio of the sides of two similar prisms is 3:5 and the volume of the first prism is 54, what is the volume of the second prism?
Answers
[tex]\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\ \cfrac{smaller}{larger}\qquad \cfrac{s^3}{s^3}=\cfrac{\textit{volume of smaller}}{\textit{volume of larger}}\implies \cfrac{3^3}{5^3}=\cfrac{54}{v} \\\\\\ v=\cfrac{5^3\cdot 54}{3^3}[/tex]
May I pretty please have some math help?
Answers
The point on the graph of f⁻¹ (x) is (-5,4)
Explanation
Let f(x) = -(5/4)x.
This function passes through (4, -5) as specified, because
f(4) = -(4/5)*(4) = -5
Construct f⁻¹ (x) as follows:
Set y = f(x).
y = -(4/5)x
Switch x and y.
x = -(4/5)y
Solve for y
y = -(5/4)x
Set f⁻¹ (x) to y.
f⁻¹ (x) = - (4/5)x.
Test x=-5 to see if y=4.
f⁻¹ (-5) = -(4/5)*(-5) = 4 Correct!
What is 3y+5x=-15 written in slope-intercept form
Answers
3y+5x=-15 subtract 5x from both sides
3y=-5x-15 divide both sides by 3
y=-5x/3-5 or more neatly in my opinion...
y=(-5x-15)/3
hey broskey your answer is option B :)
Find the difference.
Correct and best explained answer gets brainliest.
Answers
9-5 =4
-4 +7=3
-1-6 =-7
so 4x^3+3x^2-7
A is the correct answer
A cricket ball is dropped into a cylindrical tank of water.
The ball sinks to the bottom of the tank.
The diameter of the cricket ball is 7.2 cm
The diameter of the cylindrical tank is 15 cm
Calculate the increase in height of the water in the tank.
Answers
the ball is 7.2 cm in diameter. Hence its volume is 4*(3.6)^3 * π/3
So, the volume the water occupies increases by this amount.
because the tank is cylindrical, this increase must also be cylindrical.
and the volume of the ïncreased cylinder is π*15^2 * h, where h is the increase in height of the water.
so h = (4*(3.6)^3 * π/3)/(π*15^2) = 4*(3.6)^3/(3*15^2)
the ball is 7.2 cm in diameter. Hence its volume is 4*(3.6)^3 * π/3
So, the volume the water occupies increases by this amount.
because the tank is cylindrical, this increase must also be cylindrical.
and the volume of the ïncreased cylinder is π*15^2 * h, where h is the increase in height of the water.
so h = (4*(3.6)^3 * π/3)/(π*15^2) = 4*(3.6)^3/(3*15^2)
In △ABC , m∠A=53°,m∠B=17°, and a=27. Find the perimeter of the triangle.
Answers
The third angle is C is 180-53-17=110°
27/sin53=b/sin17=c/sin110
b=27sin17/sin53, c=27sin110/sin53
And the perimeter is a+b+c so
p=27+27sin17/sin53+27sin110/sin53 units
p≈68.65 units (to nearest hundredth of a unit)
Answer:
69
Step-by-step explanation:
I got it correct on founders edtell
Which number produces a rational number when added to 0.42?
Answers
(20 points)In 2008, there were 6.7 × 10^9 people living on earth. What is that number in standard notation?
A. 6,700,000
B. 67,000,000
C. 6,700,000,000
D. 67,000,000,000
Answers
C. 6,700,000,000
6.7*1,000,000,000
6,700,000,000
So, the answer is
C)6,700,000,000
The following system of equations can be used to find the roots of the equation x3 + 72 = 5x2 + 18x. y = x3 + 72 y = 5x2 + 18x Graph this system of equations on the graphing calculator. How many intersection points can you see in the default viewing window?
Answers
Answer:
he following system of equations can be used to find the roots of the equation
x3 + 72 = 5x2 + 18x.
y = x3 + 72
y = 5x2 + 18x
Graph this system of equations on the graphing calculator.
How many intersection points can you see in the default viewing window?
✔ 1
Adjust the window so you can find all of the points of intersection for the system of equations.
What are the roots of the original polynomial equation? Check all that apply.
–6
0
✔ 6
✔ –4
✔ 3
8
Step-by-step explanation:
no
Complete the statements about the key features of the graph of f(x) = x5 – 9x3. As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity.
Choose all of the zeroes of f(x).
–3 with multiplicity 1
3 with multiplicity 1
0 with multiplicity 1
0 with multiplicity 3
3 with multiplicity 0
Answers
1. let's factorize the expression [tex]x^{5} -9x ^{3} [/tex]:
[tex]f(x)= x^{5} -9x ^{3}= x^{3} ( x^{2} -9)=x^{3}(x-3)(x+3)[/tex]
the zeros of f(x) are the values of x which make f(x) = 0.
from the factorized form of the function, we see that the roots are:
-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3
(the multiplicity of the roots is the power of each factor of f(x) )
2.
The end behavior of f(x), whose term of largest degree is [tex] x^{5} [/tex], is the same as the end behavior of [tex] x^{3} [/tex], which has a well known graph. Check the picture attached.
(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of [tex] x^{2} [/tex])
so, like the graph of [tex] x^{3} [/tex], the graph of [tex]f(x)= x^{5} -9x ^{3} [/tex] :
"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "
The end behavior of f(x) has the same end behavior of [tex]x^3[/tex] and all the zeroes of f(x) wiil be: -3 with multiplicity 1, 3 with multiplicity 1, 0 with multiplicity 3.
Given :
[tex]f(x) = x^5-9x^3[/tex] --- (1)
The value of x at which f(x) becomes zero can be determine by eqaution the equation (1) to zero.
[tex]x^5-9x^3=0[/tex]
[tex]x^3(x^2-9)=0[/tex]
[tex]x^3(x-3)(x+3)=0[/tex]
Therefore, all the zeroes of f(x) will be:
-3 with multiplicity 1,
3 with multiplicity 1,
0 with multiplicity 3.
The end behavior of f(x) has the same end behavior of [tex]x^3[/tex]. As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity.The graph of f(x) is attached below.
For more information, refer the link given below:
https://brainly.com/question/24153248
There exists a similarity transformation that maps ΔABC to ΔA′B′C′. The measure of angle A is 68°, and the measure of angle B is 46°. What is the measure of angle C in degrees?
Answers
The answer is 66.
The measure of angle C in triangle ABC is 66 degrees, calculated by subtracting the sum of angles A and B from 180 degrees.
The measure of angle C can be determined by using the fact that the sum of angles in any triangle is always 180 degrees. Given that the measure of angle A is 68° and the measure of angle B is 46°, we can calculate the measure of angle C as follows:
C = 180° - A - B
C = 180° - 68° - 46°
C = 180° - 114°
C = 66°
Thus, the measure of angle C in ΔABC is 66 degrees.
William can run 5 laps in 9 2/3 minutes. If one lap is 2/5 of mile how fast is William running in miles per minute?
Answers
Final Answer ( 0.21 miles per minute)
What is the length of x-component of v?
Answers
answer is B. 2
which of the following represents the zeros of the function f(x) = 4x3 -13x2 -37x +10
Answers
What value of x makes the denominator of the function equal zero? y= 4/3x-33
Answers
3x = 33
x = 11
answer is 11
Answer: 11 is your answer
Step-by-step explanation: