Answers
Answer:
The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex] ⇒ B
Step-by-step explanation:
The form of the exponential growth function is y = a [tex](1+r)^{x}[/tex]
The form of the exponential decay function is y = a [tex](1-r)^{x}[/tex]
a is the initial valuer is the rate of increase or decrease in decimal∵ The function represents exponential decay with 5%
→ By using the second rule above
∴ y = a [tex](1-r)^{x}[/tex]
∵ The rate of decrease is 5%
∴ r = 5%
→ Change it to decimal by dividing it by 100
∵ 5% = 5 ÷ 100 = 0.05
∴ r = 0.05
→ Substitute it in the equation
∵ y = a [tex](1-0.05)^{x}[/tex]
∴ y = a [tex](0.95)^{x}[/tex]
→ Look at the answer to find which equation is written in this form
∴ y = 50 [tex](0.95)^{x}[/tex]
∴ The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex]
Related Questions
Need help with this question
Answers
Answer:
Option 1: 28 is the correct answer.
Step-by-step explanation:
The given expression for sum is:
[tex]\[ \sum_{n=1}^{4} {2n+2} = 1 \][/tex]
There will be four terms in the sum
We have to find the terms by putting n=1,2,3,4 as n=1 to 4
Putting n=1
[tex]=2(1)+2 = 2+2 = 4[/tex]
Putting n=2
[tex]=2(2)+2 = 4+2 = 6[/tex]
Putting n=3
[tex]=2(3)+2 = 6+2 = 8[/tex]
Putting n=4
[tex]=2(4)+2 = 8+2 = 10[/tex]
So the summation will expand to:
[tex]\[ \sum_{n=1}^{4} {2n+2} = 1 \] = 4+6+8+10 = 28[/tex]
Hence,
Option 1: 28 is the correct answer.
Select the correct equation for the following sentence : twenty-four is the same as 31.4 times a number plus negative 8.4
A 31.4n + 8.4 = 24
B -8.4n + 31.4 = 24
C 24 = 31.4n + (-8.4)
D 24 - 31.4 = -8.4n
I need help ASAP
Answers
24 = 31.4n + (-8.4) is the correct answer
Step-by-step explanation:
expression 31.4n -8.4 = 24 is the correct equation for the given sentence.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, twenty-four is the same as 31.4 times a number plus negative 8.4.
Let " n " be the number
From the given data expression will be,
31.4 times a number
=> 31.4 * n
plus negative 8.4
=> 31.4n -8.4
Equals to twenty-four
=> 31.4n -8.4 = 24
Therefore, expression 31.4n -8.4 = 24 is the correct equation for the given sentence.
Learn more about expression here:
https://brainly.com/question/23246712
#SPJ6
Find the first six terms of the sequence.
a1 = 4, an = 2 • an-1
Answers
Answer:
p
Step-by-step explanation:
2. The graph below shows how the water level of a swimming pool changes as the pool is
filled with water. What does the slope of the graph represent?
7
6
Depth of Water In
Swimming Pool (In foot)
N
1 2 3 4 5 6 7
Time (in hours)
A the time it takes to fill the pool completely
B. the maximum depth of the water in the pool
C. the rate at the pool fills in feet per hour
D. the rate at which the pool fills in hours per foot
Answers
Answer:
C. the rate at the pool fills in feet per hour
Step-by-step explanation:
Given
The attached graph
Required
What does the slope represent?
The slope of any graph can be calculated using:
[tex]Slope = \frac{Rise}{Run}[/tex]
Where:
Rise = The change in the vertical axis
Run = The change in the horizontal axis within the same interval as the Rise
The vertical axis measures depth in feet and the horizontal axis measures time in hour.
So:
[tex]Slope = \frac{Depth}{Time}[/tex]
or
[tex]Slope = \frac{Feet}{Hour}[/tex]
This means that the slope measures rate in feet per hour
I WILL GIVE BRAINLIEST
Answers
Can someone plz answer number 10 and 11 don’t worry about number 12
Answers
Answer:
No
Step-by-step explanation:
No. I am not helping because you spam random "answers" to gain points for your account. If you want to be taken seriously, take everyone else seriously.
9514 1404 393
Answer:
10. x = 4
11. x = -5
Step-by-step explanation:
10. Use the perimeter formula. Collect terms, subtract* the constant, divide by the coefficient of the variable.
P = 2(L+W)
42 = 2(5x +(x-3))
21 = 6x -3 . . . . . . divide by 2, collect terms
24 = 6x . . . . . . . . add 3
4 = x . . . . . . . . . . divide by 6
__
11. Collect terms, subtract the constant, divide by the coefficient of the variable.
-8x -3(2x +1) = 67
-8x -6x -3 = 67 . . eliminate parentheses
-14x -3 = 67 . . . . . collect terms
-14x = 70 . . . . . . . add 3
x = -5 . . . . . . . . . . divide by -14
_____
* "Subtract" and "add the opposite" are the same mathematical operation. In both these problems, the constant we want to get rid of is -3, so we add 3 (the opposite of -3). Of course, that operation is done to both sides of the equation.
Evaluate b - y for b= -13 and y= -50.
Answers
Answer:
37
Step-by-step explanation:
because you are basically adding -13 to 50 because the minus and the -50 cancel eachother out
rectangular flower bed is 120 in long and 240 in wide how many plants are needed if they are to be spaced 16 in
Answers
Answer:
45 plants
Step-by-step explanation:
Given that:
Length of bed = 120 in
Width of bed = 240 in
Perimeter of a rectangle is given by :
P = 2(length + Width)
Therefore,
P = 2(120 + 240)
Perimeter = 720 inches
If a spacing of 16 inches will be used ; number of plants needed ;
Perimeter / 16
= 720 in / 16 in
= 45
Select the correct answer.
The graph shows the number of cases of people developing salmonella symptoms at different
times of a fixed number of days,
According to the graph, when were people most likely to develop salmonella symptoms?
A. February 14, p.m,
B. February 15, p.m
C. February 15, a.m.
D. February 18, a.m.
E. February 18, p.m
Answers
Answer:
February 15 a.m
Step-by-step explanation:
It is the highest bar in the graph
help asap i’ll give brainliest
Answers
Answer:
answers in this order
5
4
3
2
1
6
Step-by-step explanation:
i kno that the way these numbers are are kinda sus but this is correct
hope this helps <3
A circle has an area of 256 square inches. If the radius of
the circle is multiplied by 4, what will be the area of the new
circle formed?
OA) 890 in.
OB) 1520 in.
OC) 4096 in
OD 5360 in.
Answers
Answer:
Option C (4096π in²)
Step-by-step explanation:
Area of the circle = 256π in²
We know that [tex]Area=\pi r^{2}[/tex] , where r = radius of the circle
So,
[tex]256\pi = \pi r^{2}[/tex]
Cancelling π from both the sides,
[tex]=> r^{2} = 256[/tex]
[tex]=> r = \sqrt{256} = 16[/tex]
The radius of the circle = 16 in.
When the radius is multiplied with 4 , new radius = 16×4 = 64 in.
New Area = [tex]\pi (64)^{2} =4096\pi \: in^{2}[/tex]
Answer: C
Step-by-step explanation:
NEED HELP ASAP WILL GIVE BRAINLIEST
Answers
Answer:
B
Step-by-step explanation:
Set the equation by adding 34 to each side
Use the quadratic formula: x = -b± [tex]\sqrt{b^2-4ac} \\[/tex] over 2*a
1 =a
-10 = b
34 =c
Insert these values into the quadratic formula
Construct a circle graph that represents the following data concerning the monthly expenses for a family budget.
Category Percent
Housing 35 %
Food 14%
Clothing 17%
Entertainment 12 %
Auto 22%
Find the central angle for housing. If necessary, round to the nearest tenth.
Answers
Answer:
The circle graph is attached.
Step-by-step explanation:
a) Data and Calculations:
Monthly Expenses for a Family Budget
Expenses Percentage Degree
Housing 35% 130° (360° * 35%)
Food 14% 50° (360° * 14%)
Clothing 17% 60° (360° * 17%)
Entertainment 12% 40° (360° * 12%)
Auto 22% 80° (360° * 22%)
b) The result shows that Housing expense took more than one-third of the circle with auto expenses occupying the next biggest chunk of the circle. Clothing came third to occupy one-sixth of the circle, with food and entertainment trailing behind with less than one-sixth of the circle respectively.
In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 21% of your total grade, each major test is worth 24%, and the final exam is worth 31%. Compute the weighted average for the following scores: 90 on the lab, 98 on the first major test, 71 on the second major test, and 79 on the final exam.
Answers
Answer:
the weighted score is 82.03
Step-by-step explanation:
The computation of the weighted score is as follows
= Respective scores × respective test or exam and score
= 0.21 × 90 + 0.24 × 71 + 0.24 × 71 + 0.31 × 79
= 18.9 + 21.6 + 17.04 + 24.49
= 82.03
Hence, the weighted score is 82.03
We simply applied the above formula so that the weighted score could be come
Suppose that G(x) = F(x) -3. Which statement best compares the graph of
G() with the graph of F)?
OA. The graph of G) is the graph of F() shifted 3 units down.
O B. The graph of G) is the graph of F() shifted 3 units to the left.
OC. The graph of G() is the graph of F() shifted 3 units up.
O D. The graph of G() is the graph of F() shifted 3 units to the right.
Answers
Answer:A
We have given that g(x)= F(x) -3.
By the transformation rule p(x) - k is said that function is shifted down k units
BRAINLIEST
While training for a marathon, you decide to take a run from your home located at point A (0,-3) through the park to Main Street located at (-3,0) and down the road to (1,3). You then decide to take the same route back home. How many miles did you run total
Answers
Mike measured the height of an art frame as 6.33 feet, but the actual height was 7 feet. What is the percent of error in Mike's measurement? (5 points)
a
9.45%
b
9.57%
c
10.58%
d
13.33%
Answers
Step-by-step explanation:
Difference between measured vs actual
= 7ft - 6.33ft = 0.67ft.
Percent of error = (0.67ft/7ft) * 100% = 9.57%. (B)
Answer:
9.57%
Step-by-step explanation:
X + 8 = 5; X = ?
6 = X = 2; X = ?
X = 3 = 3; X = ?
X + 10 = 7; X = ?
36 - X = 6; X = ?
14 = X = 2; X = ?
50 = X = 5; X = ?
5X = 10; X = ?
X = 7 = 6; X = ?
X-4 = 2; X = ?
HELPPP
Answers
Answer:
DONT No
Step-by-step explanation:
the school is planning a field trip to the Science Center the tickets are originally $28 but school groups receive and $8 discount on each ticket purchased. the expression t(28-8) represents the total cost for t tickets
Answers
Answer: 28-8 is the discounted price of each ticket, and t(28-8) is equal to/ (=) ----> 24(28-8)
Step-by-step explanation trust me :)
Exam Guidelines
Exam Instructions
Question 15 of 20:
Select the best answer for the question.
15. Simplify: (3 x 22) = 6 + [28 – (4)?1
A. 55
B. 23
ООО
C. 32
D. 46
Answers
Carissa has $250 in her checking account
Answers
Answer:
c
Step-by-step explanation:
equation of the line through point (5,4) and perpendicular to y=−4/3x−2.
Answers
Answer:
y=3/4x+1/4
Step-by-step explanation:
Perpendicular lines have slopes that are negative and reciprocal. If you multiply them together, the result is -1.
So, to find the slope of the new line, we can use this equation:
-4/3m=-1
multiply both sides by 3/-4
m=3/4
So the slope of the new line is 3/4
Here's the equation so far:
y=3/4x+b (b is a placeholder)
we can substitute the point (5,4) into the equation, since the line is going to pass through it.
4=3/4(5)+b
4=15/4+b
1/4=b
So the line is y=3/4x+1/4
Hope this helps!
Salena has twice as many DVDs as Jolene,and Jolene has one third as many as Brodie.What fraction of the total DVDs has Salena?
Answers
Answer:
let jolene's dvd be x
2x+x+3x= total dvds = 6x
2x/6x=1/3
Salena has 1/3 of the total dvds
Look at the following expression: 5,890 ÷ 65. Where would the quotient fall between?
1. 1 and 10
2. 10 and 100
3. 100 and 1,000
4. 1,000 and 10,000
Answers
Answer:
2. 10 and 100
Step-by-step explanation:
5890/65= 90.6
Answer:
(10) and (100)
Step-by-step explanation:
(5890/65=90.6) worked on plato so Hoped it help :D
Karen has a cube that has a side length of 6 in. The net of the cube is shown.
Answers
Question: What is the surface area of the cube?
Answer:
[tex]Area = 216\ in^2[/tex]
Step-by-step explanation:
Given
[tex]L = 6[/tex] --- length
Required
Determine the surface area
The surface area of a cube is calculated as follows:
[tex]Area = 6L^2[/tex]
Substitute 6 for L
[tex]Area = 6 * 6^2[/tex]
[tex]Area = 6 * 36[/tex]
[tex]Area = 216[/tex]
Hence, the surface area of the cube is [tex]216in^2[/tex]
helppp plzzzzz. a sum of money put out at compund interest in increased by Rs.180 at the end of first year and by Rs. 188.10 at the end of second year. find out the sum and rate of interest
Answers
9514 1404 393
Answer:
₹172.25 at 4.5%
Step-by-step explanation:
The growth factor is the ratio of the values at the end and beginning of the second year:
multiplier = 188.10/180 = 1.045 = 1 + 4.5%
The amount put out is the amount at the end of the first year, divided by this growth factor.
P = A/(1+r) = 180/1.045 = 172.25
The sum put out is ₹172.25, and the rate of interest is 4.5%.
Find the distance between (−8, 4) and (−8, −2). Question 13 options: 8 units 2 units 6 units 10 units
Answers
Answer:
6 units
Step-by-step explanation:
Trust me
Answer:
6 units
Step-by-step explanation:
Little Joey can finish carpeting ½ of a room in ¼ of an hour. At this rate, how many rooms can he carpet in 1 hour?
Answers
Answer:
2 rooms
Step-by-step explanation:
1/2 divided by 1/4 is 2
2 times 1 = 2
Answer - 2
The original cost of an item is $64 but you have to pay $78.08. What is the markup of the item as a percent
Answers
Answer:
22%
Step-by-step explanation:
$78.08 - $64 = $14.08
$14.08 * 100% / $64 = 22%
HELP I DONT UNDERSTAND UGHHH
Answers
Step-by-step explanation:
So what you need to do is is how fast they traveled every ten miles once you do that take how fast they traveled every ten miles and multiply it by 9.
So it seems to me that 1 day for most people they walked 10 miles. So if it takes 7 days for them to get there you need to do 90 divided by 7 which will get you your answer.
I hope this helped you understand better!
Answer: 11 3/7 miles per day, and it will take them 7.875 days to go 90 miles