Answers
Answer:
ya we have to tell its initial value after 11 years it too simple
Answer:
The value after 11 years would be: 2880 us dollars
Step-by-step explanation:
Given the function
[tex]v\left(t\right)=32,000\left(0.80\right)^t[/tex]
The initial value is basically the first output value when the input value = 0.
Here,
The initial value can be obtained by putting t=0 in the function
[tex]v\left(0\right)=32,\:000\left(0.80\right)^0[/tex]
[tex]\mathrm{Apply\:rule}\:a^0=1,\:a\ne \:0[/tex]
[tex]0.8^0=1[/tex]
Thus,
[tex]v\left(0\right)=32000\cdot \:\:1[/tex]
[tex]=32000[/tex]
Thus, initial value = v(0) = 32000
Value after 11 years can be obtained by putting t=11 in the function
[tex]v\left(11\right)=32,\:000\left(0.80\right)^{11}[/tex]
as
[tex]0.8^{11}=0.09[/tex]
so the expression becomes
[tex]v(11)=32000\cdot \:\:0.09[/tex]
[tex]=2880[/tex] us dollars
Thus, the value after 11 years would be: 2880 us dollars
Related Questions
Solve: 10+5(x-4) = 35
Answers
Answer:
x=9
Step-by-step explanation:
10+5(x−4)=35 Step 1: Simplify both sides of the equation. 10+5(x−4)=35
10+(5)(x)+(5)(−4)=35(Distribute)
10+5x+−20=35
(5x)+(10+−20)=35(Combine Like Terms)
5x+−10=35
5x−10=35
Step 2: Add 10 to both sides.
5x−10+10=35+10
5x=45
Step 3: Divide both sides by 5.
5x/5 = 45/5
x=9
Answer:
x=13
Step-by-step explanation:
10+5(x-4)=35
10+5x+-20=35
5x+-30=35
5x=65
65 divided by 5=13
x=13
See picture above for more thorough steps
PLZZZ HELP DUE IN 10 MINUTES. PLZZZ.
15. Scarlett estimated that there were 50 pieces of candy left in her Halloween basket. When she counted,
there was actually only 46 pieces left. What was her percent error?
Answers
Answer: 8% Error
Step-by-step explanation:
Lets go ahead and change the equation to a format that we're more familiar with.
Original:
50 -> 46
But what's easier is if we are working with 100's because of 100% right?
So lets do this.
100 -> 92
All I did was multiply both by 2 to get 100 to 92. Now it's easier to determine because of what we're looking at. 100-92 is 8% which also makes 50 to 46 an 8% error because of the symmetry between both equations. Enjoy!
I can correctly re-write the expression 56 + 48 as _____
Drag the equivalent expression into the response box.
Expressions to Choose From
6 (9+8)
7 (8+6)
8(7 + 6)
9(6+8)
Answers
Answer:
8(7+6)
Step-by-step explanation:
a number that can be writtin as a fraction oftwo integers is called a ....
Answers
Answer:
x
Step-by-step explanation:
Answer:
a rational number
Step-by-step explanation:
Simplify (14.1x10^5) - (2.9x10^5). Write your answer in scientific notation.
yall gotta help me i usually understand this but this isnt doing it for me. thank u <3
- gibazy
Answers
The value of the expression is 1.12 x 10^6
How to simplify the expression?The expression is given as
(14.1 x 10^5) - (2.9 x 10^5)
Factor out 10^5 from the above expression
So, we have:
(14.1) x 10^5 - (2.9) x 10^5
Factor out 10^5 from the above expression
So, we have:
(14.1- 2.9) x 10^5
Evaluate the difference
11.2 x 10^5
Rewrite as
1.12 x 10^6
Hence, the value of the expression is 1.12 x 10^6
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Answer:
The value of the expression is 1.12 x 10^6
Step-by-step explanation:
The rectangle shown has a perimeter of 54 cm and the given area. Its length is 3 more than twice its width. Write and solve a system of equations to find the dimensions of the rectangle. The length of the rectangle is _ cm and the width of the rectangle is _ cm.
Answers
Answer:
length of the rectangle is 19 cm and the width of the rectangle is 8 cm.
Step-by-step explanation:
The formula for the perimeter of a rectangle = 2L + 2 W
Where:
L = length and W = width
The rectangle shown has a perimeter of 54 cm
Its length is 3 more than twice its width.
2L + 2W = 54 .... Equation 1
"length is 3 more than twice its width."
L = 2W + 3.....Equation 2
Substituting 2W + 3 for L
We have:
2L + 2W = 54 .... Equation 1
2(2W + 3) + 2W = 54
4W + 6 + 2W = 54
6W = 54 - 6
6W = 48
W = 48/6
W = 8cm
L = 2W + 3.....Equation 2
L = 2(8) + 3
L = 16 + 3
L = 19 cm
Therefore:
length of the rectangle is 19 cm and the width of the rectangle is 8 cm.
If f(x)=49-x^2 and g(x)=7-x, which is the rule of the function (f-g)(x)?
A. -x^2-x-56
B. -x^2+x+42
C. 7+x
D. x^3-7x^2-49x=343
Answers
Answer:
B
Step-by-step explanation:
(f - g)(x) = f(x) - g(x), then
f(x) - g(x)
= 49 - x² - (7 - x) ← distribute by - 1
= 49 - x² - 7 + x ← collect like terms
= - x² + x + 42 → B
whats the slope of this graph
Answers
Answer:
the answer is 1/-4
Step-by-step explanation:
hope it helps:)
what is the main purpose of efa? group of answer choices find out the relationship between variables. catch the idea of the latent variables testing the internal validity of a cluster of variables. generate large factor loadings
Answers
The main purpose of EFA is to find out the relationship between variables.
EFA is an abbreviation for exploratory factor analysis, which is used to determine the link between variables that are assessed.Exploratory factor analysis is a statistical tool used in multivariate statistics to find the underlying structure of a rather large set of variables. EFA is a factor analysis approach with the overriding purpose of identifying the underlying connections between measured variables.The common factor concept underpins EFA. Manifest variables are expressed as a function of common components, unique factors, and measurement errors in this model. Each distinct component has an effect on only one manifest variable and does not explain relationships between manifest variables. Common factors impact several manifest variables, and "factor loadings" are measurements of a common factor's influence on a manifest variable.To learn more about statistics, visit :
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16x2 + 5 = 40x what is x equal to
Answers
Answer:
37/40
Step-by-step explanation:
16*2+5=40x
32+5=40x
39=40x
x=37/40. is your answer
(im going point broke after this plsssssssssssss HELP))Minnie organizes data in a table to show the net change in the number of people subscribing and unsubscribing to her website each month.
Month 1 2 3 4 5 6 7 8 9 10
Change −11 17 −1 −1 −1 −1 −11 17 −11 −11
She writes the sum of the ten integers, then factors her expression.
She correctly determines the total change for the 10 months.
What factored expression does she write, and what is her answer?
Answers
Answer:
-14
Step-by-step explanation:
Find out how many times (-11) , (-1) and 17 appears.
(-11) is four times and (-1) is four time.
4 * (-1) + 4 * (-11) = 4 * (-1 - 11)
17 is appearing two times.
2*17
Now, the expression is,
4 * (-1 - 11) + 2 *17
4 * (-1 - 11) + 2 *17 = 4 *(-12) + 34
= - 48 + 34
= -14
How many fluid ounces are in a gallon?
1 cup= 8 ounces
1 pint= 2 cups
1 quart=2pints
1 gallon= 4 quarts
Answers
Answer:
128 fluid ounces
Step-by-step explanation:
As per linear equation, there are 128 ounces of fluid in a gallon.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."
Given relations for any fluid is:
1 cup = 8 ounces
1 pint = 2 cups
1 quart = 2pints
1 gallon = 4 quarts
Therefore,
1 gallon
= 4 quarts
= 4 (2) pints
= 8 pints
= 8(2) cups
= 16 cups
= 16(8) ounces
= 128 ounces
Therefore, for any particular fluid 128 ounces equal to 1 gallon.
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I'll give 16 points
Answers
Answer:
Arisa walks dog 3 for 15 min, dog 4 20 mins
Sofias dog 3 12 mins, dog 4 16 mins.
Step-by-step explanation:
Please help me
if it’s blurry it should let you zoom in
i will mark brainly
Answers
Answer:
A. The y intercept the y coordinate when the line passes through the point that is on the y coordinate and the x is 0. In this context, the y intercept is 10.
B. The slope is the number of units the line goes up every number of units it goes to the right. This line goes up 50 every 20 units to the right so the slope is 50/20 which simplifies to 5/2
C. The equation is y = 5/2x + 10
Evaluate f(3) for the follow f(x)=x-5 f(3) =
Answers
Answer:
f(3) = - 2
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x) , that is
f(3) = 3 - 5 = - 2
Answer:
If [tex]f(x)=x-5[/tex], f(3) = -2
Step-by-step explanation:
We are given [tex]f(x)=x-5[/tex] and we need to find f(3)
For finding f(3), we put x= 3 in the given function.
[tex]f(x)=x-5[/tex]
Putting x=3
[tex]f(3)=3-5\\f(3)=-2[/tex]
So, if [tex]f(x)=x-5[/tex], f(3) = -2
Find the value of x.
24
10
Answers
Answer:
not enough info
Step-by-step explanation:
Answer: I need more info
Step-by-step explanation:
Help!!! Whats The answer, Please explain your answer Marking brainlliest:D I really need this.
Answers
6 x s^2
So 6 x 4^2
4^2 is 16 so
16 x 6
Equals 96.
So A is your answer
the first term of an arthimetic sequence is 42 the rule an= an-1 +8 can 1 can be used explain how to write explict rules
Answers
Answer:
34 + 8n
Step-by-step explanation:
a₁ = 42
[tex]a_{n} = a_{n-1} + 8[/tex]
a₂ = a₁ + 8 = 42 + 8 = 50
a₃ = a₂ + 8 = 50 + 8 = 58
a₄ = a₃ + 8 = 58 + 8 = 66
Arithmetic sequence: 42, 50 , 58 , 66, ......
a₁ = 42 ; d = 8
[tex]a_{n}[/tex] = a₁ + d(n-1)
= 42 + 8(n - 1)
= 42 + 8n - 8
= 34 + 8n
Answer:
[tex]a_{n}[/tex] = 8n + 34
Step-by-step explanation:
The explicit rule for an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given the recursive rule
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 8
where + 8 is the common difference d , then
[tex]a_{n}[/tex] = 42 + 8(n - 1) = 42 + 8n - 8 = 8n + 34
Explicit rule is
[tex]a_{n}[/tex] = 8n + 34
Use the area of the rectangle to find the area of the triangle.
4 ft
8 Ft
Answers
Answer:
The area of the triangle is 16 feet because the are of the rectangle is 32 feet.
Step-by-step explanation:
The length of the rectangle is 8 feet. Since the dotted line is exactly in the middle of the rectangle, the bottom of the triangle s 4 feet. With 4 feet as the bottom and 4 as the height, we can calculate the area of one of the triangles ( 4 * 4 /2 ), so each of the triangle's area is 8 feet. Add them together, and you get 16!
......................hi
Answers
Answer:
hi
Have an amazing day!
HELP ME PLEASEEEEE
George was writing a paper for English class. He has already written 1 complete page. He plans on writing his paper at a rate of 2 pages per hour. Show all work and explain your answers clearly. Use complete sentences.
A. Write an equation
B. What do the slope and the y-intercept represent in context of this situation?
C. How many pages will George have written after 3 hours?
D. George’s final paper needs to be 9 pages. How long will it take George to have his entire paper written?
Answers
What is the solution to the linear equation?
Answers
First you have to subtract 2/5 on both sides to get p=2/5x+3/5p.
Then subtract 3/5p on both sides to get 2/5p=2/5.
Then you divide by 2/5 on both sides to isolate p and you get 1 :)
Please help me. I have no idea what to do.
Answers
Answer:
18
Step-by-step explanation:
Can you please help me with a question? language arts related?
which method of comparing the numbers would you use.
Answers
Answer:
be more specific
Step-by-step explanation:
Answer:
alright I see, so basically you can choose standard form or scientific notation and explain why or how it is a better way for you :)
NEED HELP ASAP!!!!
Kim earns money with a base salary plus commission. She earns a base
salary of $30,000 per year plus $200 for each machine she sells. Let x
represent the amount of machines Kim sells and y represent the amount of
money she earns per year.
a. Fill out the table.
b. Write the equation in slope-intercept form the amount of money Kim earns per year.
c. Graph the equation from part (b).
Answers
Answer:
Step-by-step explanation:
Equation is y= 200x+30000
Table in order goes 30000, 30200, 30400, 30600, 30800
To graph your y intercept would be 30000 and slope is 200
Answer:
1) $30000 2) $30200 3) $30400 4) $30600 5) $30800
Step-by-step explanation:
She gains $200 more each year.
(Part one of your question)
List the sides from least to greatest
Answers
Answer:
ef,ge,fg
Step-by-step explanation:
The sum of two numbers is 54. The larger number is 16 more than the smaller number. What are the numbers?
Answers
Answer: 19, 35
Step-by-step explanation:
Two numbers: x and y.
x+y=54
x+16=y
x+x+16=54
2x+16=54
2x=38
x=19
19+y=54
y=35
19, 35
Answer:
x = 35
y = 19
Step-by-step explanation:
16 + x + y = 54
-16 -16
x + y = 38
÷2
x = 19
y = 19
The larger number is 16 more than the smaller number
x = 19 + 16 = 35
x = 35
y = 19
35 + 19 = 54
54 = 54
I hope this helps!
Leo wants to buy some shoes. He found the shoes at three different stores for a spice of $35. The stores are each having a sale. Which statement about the sale price of the shoes is true
Answers
Answer: Store Z has the best sale price of $28.
Step-by-step explanation:
Here is the complete question:
Leo wants to buy some shoes. He found the shoes at three different stores for a price of $35. The stores are each having a sale.
Store X is offering 15% off the price of the shoes.
Store Y is offering $5 off the price of the shoes.
Store Z is offering a discount 1/5 off the price of the shoes.
Which statement about the sale price of these shoes is true?
a. Store X has the best sale price of $20.
b. Store Z has the best sale price of $28.
c. Store Y has the best sale price of $30.
d. Store Z has the best sale price of $7.
Since Store X is offering 15% off the price of the shoes, the price of the shoe at store X will be:
= $35 - (15% × $35)
= $35 - (0.15 × $35)
= $35 - $5.25
= $29.75
Since Store Y is offering $5 off the price of the shoes, the price of the shoe at store Y will be:
= $35 - $5
= $30
Since Store Z is offering a discount off the price of the shoes, the price of the shoe at store Z will be:
= $35 - (1/5 × $35)
= $35 - $7
= $28
Base on the analysis above, Store Z has the best sale price of $28.
The temperature, in °C, of a solution t minutes after being cooled is
60(5/6)^t
After how many
minutes will the temperature of the solution be less than 30°C for the first time?
Answers
Answer:
t < 3.8 minutes
Step-by-step explanation:
We are told that the temperature "t" minutes after being cooled is
60(5/6)^t
We want to find After how many
minutes will the temperature of the solution be less than 30°C
Thus;
60(5/6)^t < 30
Divide both sides by 60 to get;
(5/6)^t < 0.5
t In(5/6) < In 0.5
-0.1823t < -0.6931
t < 0.6931/0.1823
t < 3.8 minutes
each of exercises 15–30 gives a function ƒ(x) and numbers l, c, and e 7 0. in each case, find an open interval about c on which the inequality 0 ƒ(x) - l 0 6 e holds. then give a value for d 7 0 such that for all x satisfying 0 6 0 x - c 0 6 d the inequality 0 ƒ(x) - l 0 6 e hol
Answers
The given inequality holds for the open interval (2.97,3.03)
It is given that
f(x)=6x+7
cL=25
c=3
ε=0.18
We have,
|f(x)−L| = |6x+7−25|
= |6x−18|
= |6(x−3)|
= 6|x−3|
Now,
6|x−3| <0.18 then |x−3|<0.03 ----->−0.03<x-3<0.03---->2.97<x<3.03
the given inequality holds for the open interval (2.97,3.03)
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Although part of your question is missing, you might be referring to this full question: For the given function f(x) and values of L,c, and ϵ0, find the largest open interval about c on which the inequality |f(x)−L|<ϵ holds. Then determine the largest value for δ>0 such that 0<|x−c|<δ→|f(x)−|<ϵ.
f(x)=6x+7,L=25,c=3,ϵ=0.18
.