C. 2%; exponential decay
You can use the fact that increasing power of values lying between 0 and 1 results in less and less values.
The percent rate of change in given function is -2%
The function represents exponential decay.
Given that:The function: [tex] y = (0.98) ^ x[/tex]To find:Percent rate of change in given function.Is it representing exponential growth or exponential decay?Finding percent rate of change in given function:
For finding this, first find how much the output y changes if we change x from x to x + 1.
Output when x = x: [tex]y = (0.98)^x[/tex]
Output when x = x+1: [tex]y = (0.98)^{x+1}[/tex]
Difference in output if x goes from x to x+1: [tex](0.98)^{x+1} - (0.98)^x = (0.98)^x(0.98 - 1) = -0.02 \times (0.98)^x[/tex] (this change occurs if we increase input x by 1 unit, thus this also represents the rate)
Rate of change of function per unit increment = [tex]-0.02 \times (0.98)^x[/tex]
The percentage of rate of change is found as:
[tex]\text{Percent rate of change\:} = \dfrac{\text{Rate of change} \times 100}{\text{previous value}} = \dfrac{-0.02 \times (0.98)^x \times 100}{(0.98)^x} \\\\ \text{Percent rate of change\:} = -2\%[/tex]
Thus, the percent rate of change is -2%
The negative sign shows that the value is decreasing, thus showing that function shows exponential decay.
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Your friend thinks that the equation k-3.5=21, is he correct? explain.
Answer:
This could be correct in the case and only if k would equal 24.5 so only in that case
Step-by-step explanation:
Somebody help ya plz
Answer:
9
Step-by-step explanation:
They're vertical angles, so they are equal:
5x + 4 = 49
subtract 4 from both sidese
5x = 45
divide both sides by 5
x = 9
Answer: x=9
Step-by-step explanation: First of all, the two shown inner angles are equivalent. This allows you to set up an equation like: (5x+4)=49
Then simply use algebra to solve...
(5x+4)=49
-4 -4 (subtract "4" from each side)
5x=45
5x/5=45/5 (divide each term in the equation by "5")
x=9
Hope this helps!
X + 5x - 6 < 12 solve for inequality
Answer:
7
Step-by-step explanation:
x+5x<12
x+5x=12
12-5x
=7
7 divide by 1
=7
Solve |5x+15|=10x. Identify the solution and an extraneous solution.
Help pleaseeeee I will try and give brainliest
Answer:
the answers B c=35h+50
Step-by-step explanation:
Answer:
the answer is D. c= 85h
Step-by-step explanation:
i think this is the answer if it is correct plz give brainliest.
As an estimation we are told 5 miles is 8km. Convert 44km to miles
Answer:
27.5 miles.
Step-by-step explanation:
44km ÷ 8km = 5.5
5.5 x 5 = 27.5
Answer:
27.5 miles
Step-by-step explanation:
i think that's the method I know and I believe that's the answer hope it helps you have a great day.
A $1,400 loan has a simple annual interest rate of 4%. How much simple
interest is paid on the loan for 1 year?
A
$56.00
B
$67.20
C $560.00
D $672.00
Answer:
the answer is c
Step-by-step explanation:
Using the number 4236, how many numbers up to 20 does it divide without a reminder?
Is there a pattern?
What can you say about these numbers?
Please answer ASAP
Answer:
6 numbers it can be divided without a reminder. They are also even numbers.
PLZ HELP PLZ HELP PLZ HELP PLZ HELP
Division as Fractions - Word
Name
cach problem. Make sure to write your answer as a fraction.
Henry wanted to collect 65 pounds of cans in 7 days. How much should he
collect each day to reach his goal? Which two whole numbers does your
answer lie between?
Answer:
The answer lies between 9 and 10.
Step-by-step explanation:
It is given that:
Pounds of cans to be collected = 65 pounds
Number of days = 7
Cans per day = [tex]\frac{Total\ pounds}{Days}[/tex]
Cans per day = [tex]9\frac{2}{7}[/tex]
As 2/7 is less than one.
Therefore,
The answer lies between 9 and 10.
Are the triangles similar? Explain how you know.
Answer: Yes,these triangles are similar because they are both obtuse, scalene, and they both have three sides
The production cost to make 10 shirts is modeled by the expression 1.By + 5.5, where y represents the number of meters of fabric needed to make the shirts. Which
expression represents the production cost for one shirt?
A.0.18y +0.55
B.0.18y +5.5
C.1.8y +0.55
D.18y +55y
Answer:
The answer is 0.18y+5.5
Step-by-step explanation:
because the only thing you had to do is move the decimal.
The expression which represents the production cost for one shirt is, 0.18y +0.55. So Option A is correct
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
The production cost to make 10 shirts is modeled by the expression,
Total Cost = 1.8y + 5.5,
where y represents the number of meters of fabric needed to make the shirts
So, for one shirt cost,
Cost of 1 shirt = Total Cost/10
= 1.8y + 5.5/10
= 0.18y + 0.55
Thus, the expression is 0.18y + 0.55
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Which pair of variables would most likely have approximately zero correlation
Answer:
I’m not sure but it’s b
Step-by-step explanation:
Samantha buys a shirt that costs $28.50. She uses a
30% coupon. What will Samantha pay for the shirt?
Is 21/2 simplified ?
Answer: 21/2 can not be simplified anymore!!
Step-by-step explanation:
Which of the following is a pair of
vertical angles?
X
E
B
ОООО
D
В
C
D
A ZAXC and ZCXE
B. ZBXD and ZAXF
C. Z CXE and BXD
D. LAXF and BXE
SUBMIT
Answer:
the answer is D
Step-by-step explanation:
Answer:
D. AXF and BXE
Step-by-step explanation:
These angles are across from each other which makes them vertical angles.
The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game
rented.
The Game Bank charges an annual fee of $11 plus $2.50 per game.
For how many game rentals will the cost be the same at both stores?
Answer:
2 games
Step-by-step explanation:
Given data
The Fun Guys game
charges annual fee of $5 plus $5.50 per game
let the number of games be x
and the total charges be y
The expression for the total is
y=5+5.5x---------------1
The Game Bank
charges an annual fee of $11 plus $2.50 per game.
y=11+2.5x---------------2
Equate 1 and 2 above
5+5.5x=11+2.5x
collect like terms
5.5x-2.5x= 11-5
3x= 6
divide both sides by 3
x= 6/3
x= 2
It will take 2 games
Convert 4 yards to inches.
Answer:
144 inches is the answer
Answer:
4 yard = 144 inches
Step-by-step explanation:
as 1 yard = 36 inches
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The cost of in-state tuition at the University of Florida is $6,380 and is increasing at a rate of 3.1% per year. Write and use an exponential function to find the tuition cost after 8 years. Round your answer to the nearest whole dollar. Help pls will give brainliest.
Answer:
loser
Step-by-step explanation:
How many times can you fit 8 hours and 24 hours?
Answer:
in what? if you meant 8 hours in 24 hours than 3 times
Step-by-step explanation:
Answer:
The answer is 3 times.
Step-by-step explanation:
[tex]since \: 8 \times 3 =24
then \: you \: can \: fit \: 8 \: hours \: 3 \: times \: in \: 24 \: hours.[/tex]
The sum of two numbers is 25. Twice the first number minus the second is 6. Find the numbers.
Answer:
Step-by-step explanation:
x + y = 25
2x - y = 6 Solve for y in this the second equation. Add y to both sides
2x = 6 + y The ys on the left cancel. Subtract 6 from both sides.
2x - 6 = y
Put this value of y into the first equation
x + y = 25
x + 2x - 6 = 25 Combine on the left
3x - 6 = 25 Add 6 to both sides.
3x = 25 + 6 Combine the right
3x = 31 Divide by 3
x = 31 / 3
x = 10.333333
x + y = 25
10.33333 + y = 25 Subtract 10.33333
y = 25 - 10.333333
y = 14.666666
x + y = 25
10.33333 + 14.66666
25 approximately.
2x - y = 6
2*10.33333 - 14.66666
20.66666 - 14.66666
6
You should note that those numbers are repeating decimals
2x - 6 = y
Please help!!
Will mark brainliest
Answer:
y=+2
Step-by-step explanation:
Every advancement in boxes, gives 2 to the next box. the rate of change would be 2/1
A shirt costs $19 you buy it on clearance for 40% off. How much did you pay for the shirt?
Please explain how to find the answer and please answer fast...Thank you
PLEASE HELP
answer: $11.40
explanation: turn the percent into a decimal, multiply it by the starting cost, then subtract the product from the starting cost
>> 40% = 0.40
0.40 x 19 = 7.60
19 - 7.60 = 11.40
You paid $11.4 for the shirt.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
A shirt costs $19 you buy it on clearance for 40% off.
You paid,
= 19 - (19 x 40 / 100)
= 19 - 7.6
= $11.4
Therefore, the amount is $11.4.
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Is either x = 18 or x = 14 a solution to x – 8 < 9? A. They are both solutions B. x = 18 is a solution, but x = 14 is not ОО O C. Neither is a solution D. X= 14 is a solution, but X-18 is not
Answer:
Answer is D
Step-by-step explanation:
u have two given values of x
x=18 and x=14
put them in the given equation x-8<9
1.FIRST put x = 18
that is (18)-8<9
10<9--->THIS IS INCORRECT BECAUSE 10 IS MORE THAN 9
2.SECOND put x = 14
that is (14)-8<9
6<9---->THIS IS CORRECT SINCE 6 IS LESS THAN 9.
jacob made $507 this year delivering newspapers. if he makes the same amount monthly, how much money did he make each month? QUICK
Which table matches 4x+7y=19?
Answer:
c
Step-by-step explanation:
The table which matches 4x + 7y = 19 is table (d).
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Given is a linear equation,
4x + 7y = 19
(a) When x = -18,
7y = 19 - (4 × -18) = 91 ⇒ y = 13
When x = 1,
7y = 15 ⇒ y = 2.14
So the table (a) is not the one.
(b) When x = -9, 7y = 55, y = 7.857
Table (b) is also not the one.
(c) When x = 0, y = 2.7
Hence (c) is also not an option.
(d) When x = -18, y = 13
When x = -11, 7y = 63, y = 9
When x = -4, 7y = 35, y = 5
So the correct option is table (d).
Hence the correct option is table (d).
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whos prettier? doja cat or megan thee stallion
Answer:
The Stallion
Step-by-step explanation:
Answer:
megan thee stallion
Step-by-step explanation:
Pls help!
Find the Area of the following composite figure. (Round to one
decimal place if necessary)
Answer:
A=132in^2
Step-by-step explanation:
A=1/2(a+b)h
A= 1/2(6+16)12
A= 1/2(22)(12)
A= (11)(12)
A= 132
Walter invested some money at 5% simple interest for 3 years and earned $300. What was the amount he invested?
the young lad invested 6000$
Answer:2000
Step-by-step explanation:
If you minus a positive number from a negative number is the diffirance a positive number, or a negative number? For example: 5 - ( -2 ) would this problem be positive negative. Also would you add or subtract because there is an negative number?
Answer:
positive + positive is negative
negative+ positive = negative ii think
Step-by-step explanation: