Answers
Answer:
The function y = 5 [tex](.98)^{x}[/tex] represents exponential decay
The percentage rate of change is 2%
Step-by-step explanation:
The formula of the exponential growth is y = a [tex](1+r)^{x}[/tex], where
a is the initial valuer is the rate of increase in decimal ⇒ (1 + r) > 1The formula of the exponential decay is y = a [tex](1-r)^{x}[/tex], where
a is the initial valuer is the rate of decrease in decimal ⇒ (1 - r) < 1Let us solve the question.
∵ y = 5 [tex](.98)^{x}[/tex]
→ Compare it with the forms above
∴ a = 5
∵ The rate of change is .98
∵ .98 < 1
→ That means the rate of change is decreasing
∴ The function y = 5 [tex](.98)^{x}[/tex] represents exponential decay
→ From the 2nd form above
∵ (1 - r ) = .98
→ Subtract 1 from both sides
∴ 1 - 1 - r = .98 - 1
∴ - r = - .02
→ Divide both sides by -1
∴ r = .02
→ Multiply it by 100% to change it to a percentage
∵ .02 × 100% = 2%
∴ r = 2%
∴ The percentage rate of change is 2%
Related Questions
what is 3053 divided by 49
Answers
Answer:
62.30
Step-by-step explanation:
62.30
you divide the 3053 by 49
Which expression is equivalent to 3^2 *3^3
Answers
Answer:
1,5
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]3^{2} *3^{3}[/tex]=[tex]3^{2+3}[/tex] =3^5
If a pyramid is cut with a plane parallel to the base, the intersection of the pyramid and the plane is ----- a cross section
Answers
Answer:
Square cross section (Red)
Step-by-step explanation:
If the pyramid is cut with a plane (green) parallel to the base, the intersection of the pyramid and the plane is a square cross section (red). If the pyramid is cut with a plane (green) passing through the top vertex and perpendicular to the base, the intersection of the pyramid and the plane is a triangular cross section (red)
find zero f(x)=2x^4-5x^3+x^2+2x
Answers
Hope this helpssss
Chipper ran 1 mile in 8 minutes. How long would it take him to run 5 miles?
Answers
Answer:
40 minutes
Step-by-step explanation:
Given 1 mile = 8 minutes
5 miles = (5 × 8) minutes
5 miles = 40 minutes
It would take 40 minutes to run 5 miles
Help I will mark as brainliest
Answers
2. 1: Linear 2: Non-Linear
Hope this helps!
-don’t forget to heart or mark brainliest!
Answer:
The slope is 3, y intercept is -1
How to graph:
Go to (0, -1) and click. Then got up 3 spaces and 1 space right. Click. That should do it.
The picture to the left is linear and the one to the right is nonlinear.
Step-by-step explanation:
I don't know how to explain. Sorry.
Hope this helps.
How do I do this, please explain
Answers
Answer:
To solve just find the percentage angle of the sides multiply by the number given and boom you’ll get the answer hope this helps
Step-by-step explanation: Please help me In my recent question
6x-5y = 15
x=y+3
x=
y=
Answers
Answer: x = 0 y = –3
Step-by-step explanation:
We can solve this system by substitution.
use the second equation as a value for x.
Then substitute that value in place of x in the first equation and solve for y.
6x - 5y = 15 becomes
6(y + 3) - 5y = 15 Distribute 6 × parentheses
6y + 18 - 5y = 15 combine like terms
6y -5y + 18 = 15
y + 18 = 15 Subtract 18 from both sides.
y =15 -18
y = –3
Use this value for y in either equation to solve for x
6x - 5(-3) = 15
6x + 15 = 15 Subtract 15 from both sides, divide by 6 (seems silly!)
x = 0
OR in he second equation,
x = -3 + 3
Again, x = 0
A driveway is 25 meters long. How long is the driveway in centimeters.
Answers
Answer:
insertlinkhere or as in translates 1n53rtl1nkh3r3
Step-by-step explanation:
Robert is trying to determine the additional cost for making each special order . For each special order cupcake , write an equation that can be used to determine the cost , y, of the extra ingredient for making dozen of that cupcake .
Answers
Answer:
y = 12x
Step-by-step explanation:
Given that:
y = cost of making a special order cupcake
A dozen of special order cupcakes = 12 pieces
Let the cost of extra ingredient for making a special order cupcake = x
Hence the cost y of making a dozen of such special order will be :
y = extra cost per order * number of orders
y = 12x
How do you draw 10 pieces of art, write 12 pages about a book, and do daily work all before Friday
Answers
Answer:get off of brainly and just do it
Step-by-step explanation:
PLEASE HELP! THANKS!
Answers
Answer:
a) Steve
b)0.3
Step-by-step explanation:
1 1/5 is 1.2
1.5 - 1.2= 0.3
Will mark brainiest! !!50 Points!! The first question since it got cut off is : (A) is the sequence arithmetic, geometric, or neither? How do you know?
Answers
Answer:
Geometric
Step-by-step explanation:
Answer:
Geometric, 81, 3
Step-by-step explanation:
A geometric sequence is defined as one that continues with multiplication.
We can tell that the sequence proceeds by multiplying 1/3.
a2 is 81 because it is the second term given in the sequence.
a5 is 3 because it equals a4 *1/3, which is 9*1/3 which is 3
I hope this helps! :)
convert 9/3 into a mixed number in simplest form
Answers
Answer: 3/1 or just 3.
The answer would be 3 but in simplifying 9/3 it will be 3/1.
Step-by-step explanation:
9 to the power of -1/2
Answers
Answer:
1/3
Step-by-step explanation:
(3 x 34) + 24/7 + 7 =??
Answers
Answer:
112.4
Step-by-step explanation:
Answer: 112.4285
Step-by-step explanation:
(3 x 34) + 24/7 + 7 =??
102 + 3.4285 + 7 = ??
112.4285 = ??
How long does it take a ball to roll 9 feet
Answers
The area of a wall mural is 15 square feet. If Kelly can paint about 180 square inches per hour, how many hours will it take her to paint the mural?
Answers
Answer:hi
Step-by-step explanation:
i still cannot find the answer i need help
Answers
Answer:where is the question?
Step-by-step explanation:
Triangle M N O. Angle M is 72 degrees and angle O is 71.2 degrees. Triangle R S T. Angle R is 72 degrees and angle T is 36.8 degrees.
Isabelle claims that Triangle M N O is similar to triangle R S T. Is she correct? If not, what is her mistake?
Yes, she is correct.
No, the triangles are congruent because all corresponding sides and angles are congruent.
No, the vertices in her claim are not written in corresponding order.
No, her claim cannot be made about triangles with only one pair of congruent corresponding angles.
Answers
Answer:
C
Step-by-step explanation:
edge 21
Answer:
C or 3
Step-by-step explanation:
took the test
Glenn walked from 6:45 a.m. to 8:15 a.m. He walked a distance of 5+ miles. What was Glenn's average walking rate?
Answers
Answer: 3.333 + miles per hour
Step-by-step explanation:
Distance walked = 5+ miles
Time taken to cover distance = (8:15 am - 6:45am) = 1 hour 30 minutes = 1.5 hours
Average walking rate = (total distance walked / total time taken)
Average walking rate = (5 + miles / 1.5 hours)
Average walking rate = 3.333 + miles per hour
Answer:
3 1/2 (miles=5 1/4)
Step-by-step explanation:
6:45 a.m. - 8:15 a.m. = 1 hour 30 mins = 1 5/10
5 1/4 / 1 5/10 = 3 1 /2
i need help asap :))
Simplify 2a + 3a + a
Answers
Answer:
2+4a
Step-by-step explanation:
) A movie hall sold twice as many tickets on Tuesday as on Monday. It sold 40 more on Wednesday than on Tuesday. If 200 tickets were sold on Wednesday, how many were sold on Monday?
Answers
Answer:
32 Tickets
Step-by-step explanation:
If it sold x tickets on monday, then it sold 2x tickets on Tuesday, and sold 2x+40 on Wednesday.
the total number of tickets sold is:
x + 2x + 2x + 40 = 5x + 40
5x + 40 = 200
5x = 160
x = 32
So 32 tickets were sold on monday
Evaluate 2^−4/4^0. Write your answer as a fraction in simplest form.
Answers
Answer 1/16
Step-by-step explanation:
= 2^-4 / 1
= 2^-4
=1/2^4
=1/16
The simplest form of the given equation 2⁻⁴/4⁰ is 1/16.
What is simplification?A mathematical expression is simplified when it is replaced with a simpler, typically shorter, equivalent statement. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.
Given an expression 2⁻⁴/4⁰
simplifying it
=> 2⁻⁴/1
=> 1/ 2⁴
=> 1/16
therefore, the simplest form of the given equation is 1/16.
Learn more about simplification here:
https://brainly.com/question/24242989
#SPJ2
In Mr. Henry’s class, there are 8 students that wear glasses, and 3 of them are boys.
Part C: Write a ratio that compares the number of girls in the class that wear glasses to the number of girls that do not. Explain how you know.
Answers
Answer:
5:8
5 to 8
Step-by-step explanation:
There are 8 students total and 3 boys wear glasses so there is 5 girls left that wear glasses.
Hope this helps :)
ANSWER URGENTLY !!
g(7) =
Answers
Answer:
g(7) = 4
Step-by-step explanation:
According to the graph, g(7) = 4
15, 15, 17, 20, 21, 28
whats the mean, median and mode?
Answers
A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length. How long is each piece?
Answers
Division of a given length of an item into required length, would result to a length lesser than the initial length of the fabric. This ensures that the required length of each piece is [tex]\frac{1}{12}[/tex].
The given fabric has been divided into equal proportion. The length of the small pieces of the given fabric can be determined by dividing the total length of fabric by the number of pieces.
Let the length of each piece required be represented by x.
So that;
given that the total length of the fabric is 2 yards, then;
24x = 2
divide both sides by 24 to have;
x = [tex]\frac{2}{24}[/tex]
= [tex]\frac{1}{12}[/tex]
x = [tex]\frac{1}{12}[/tex] yards.
Thus, each piece of the 24 pieces of fabric has a length of [tex]\frac{1}{12}[/tex] yards.
For more on proportion, check: https://brainly.com/question/17766791
Answer:
3 Inches
Step-by-step explanation:
1/12 Yards = 2.99988
2.99988 Rounds Up To 3
Mai bought gas for her car. Gas cost $2.95 per gallon Mai bought 8.2 gallons What was the total cost for Mai's gas?
Answers
Answer: $24.19
Step-by-step explanation:
From the question, we are informed that Mai bought gas for her car which cost $2.95 per gallon and that she bought 8.2 gallons.
The total cost for Mai's gas will be:
= $2.95 × 8.2
= $24.19
When Sergio went to dinner with his brother, the bill was $51.19. What was the total they paid if they left a 15% tip?
Answers
Answer:
The total they paid was $58.8685
Step-by-step explanation:
Let us solve the question using the percentage method
∵ Sergio went to dinner with his brother
∵ The bill was $51.19
∵ They left a 15% tip
→ That means they pay extra money 15% of $51.19
∴ The total they paid = the bill + 15% of the bill
∵ 15% of the bill = 15% × 51.19
→ Change 15% to a decimal by divide it by 100
∴ 15% of the bill = [tex]\frac{15}{100}[/tex] × 51.19
∴ 15% of the bill = 0.15 × 51.19
∴ 15% of the bill = $7.6785
→ Substitute it in the total they paid
∵ The total they paid = 51.19 + 7.6785
∴ The total they paid = $58.8685
∴ The total they paid was $58.8685
Answer:
131.15
Step-by-step explanation:
