Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=5800(0.806)^x
Using exponential function concepts, it is found that it represents a decay of 19.4%.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, the function is:
[tex]A(x) = 5800(0.806)^x[/tex]
Since the rate of change is less than 1, it is a decay.
Then:
1 - r = 0.806.
r = 1 - 0.806 = 0.194.
The function represents a decay of 19.4%.
More can be learned about exponential function concepts at https://brainly.com/question/25537936
16x-24 in equivalent expression
Leila purchased a snack-size roll of candy tarts, and found that only 1/7 of them were grape-flavored. Suppose Leila later
buys a king-size roll of candy tarts that contains 40 pieces. How many of that roll can she expect to be grape-flavored?
HELP PLEASE!!!!!
Answer:
6 candy tarts
Step-by-step explanation:
Based on Leila's observations, we would expect all boxes of candy tarts to have 1/7 grape-flavoured ones. If we have a box of 40, we can find the expected number of grape flavoured nady tarts by multiplying 40 and 1/7.
40 × 1/7 = 5.714285714
You can round this to 6 candy tarts
I know the first one, I just need help on b.
Answer:
its the one at about (8, 8000)
Step-by-step explanation:
If you look at all of the points, you can see the price constantly goes done as the car gets older. The only point away from the constant pattern is the one that is 8 years old, costing about 8000.
The local museum had 350 members only 20% of the members visit on any given Saturday what number usually on Saturday k
Answer:
70
Step-by-step explanation:
20% of 350 =
= 20% * 350
= 0.20 * 350
= 70
Y = – (x – 5)2 + 3
y = –3(x – 6)2 + x + 1
To make sure the flip is in unison, after how many seconds should the flip occur?
The flip should tur after 2.4 scon
How to find the point of intersection of two linesGiven the following functions expressed as:
[tex]Y = - (x - 5)^2 + 3 \\y = -3(x - 6)^2 + x + 1[/tex]
Equating both expression will give
-(x-5)² + 3 = -3(x-6)² + x + 1
-(x-5)² +3(x-6)² + 3 - x - 1 = 0
-(x-5)² +3(x-6)² + 2 - x = 0
-(x² - 10x + 25) + 3(x²-12x + 36) + 2 - x = 0
x² + 10x - 25 + 3x² +36x + 108 + 2 - x = 0
4x² + 45x + 85 = 0
Factorize for the value of x
On factorizing, the value of x is 2.405
Hence the flip should tur after 2.4 sconds
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For the right triangles below, find the values of the side lengths c and h.
Round your answers to the nearest tenth.
For what values of a are the following expressions true? a +5 = −5−a ,a +5 = a + 5
Answer:
Step-by-step explanation:
A plant is already 12.00 meters tall, and it will grow 15 centimeters every month. The plant's height, H (in meters), after x months is given by the following. H= 12.00 +0.15x What is the plant's height after 40 months?
Answer:
495cm
Step-by-step explanation:
so for a second forget about the already 12 meters. Multiply 15 by the amount of months, in this case 40 so 12x40= 480. Then add the 15, so its 495cm tall
The radius of a circle is 3 5/12 inches
What is the diameter of the circle?
Answer:
6 5/6
Step-by-step explanation:
diameter is radius multiplied by 2
* means multiplied by
3 5/12 = 41/12
41/12 * 2 = 82/12 = 6 5/6
Answer: 6 5/12
Step-by-step explanation: i just took the k12 test and this is the corret answer
List the Slope of this Equation: Y=-7/2x+3
The slope is -7/2
Y = mx + b
m stands for the slope (numerical coefficient for x)
absolute value negative 4
Answer:
4
Step-by-step explanation:
absolute value, if it's a negative number, will be positive. if it's a positive number, it will stay positive.
Answer:
My guess 4
Step-by-step explanation:
i used to do this stuff but i thinks its 4
find the measure of x
Answer:
3
Step-by-step explanation:
Answer:
X=3
Step-by-step explanation:
chloe wants to ride her bicycle 34.1 miles this week. She has already ridden 14 miles if she rides for 3 more days, write and solve an equation which can be used to determin m, the avergae number of miles she would have to ride each day to meet her goal.
Step-by-step explanation:
I guess the meaning is that after 3 more days the week will be over, and she has to reach her goal by then.
x = the average number of miles to ride each of the 3 days
x = (34.1 - 14)/3
the solution is
x = 20.1/3 = 6.7 miles
help i need help! please help
Anwser: its the secend answer
Step-by-step explanation: have had the smae question
Natalie is shopping for new clothes and does not want to spend more than $65. She buys one dress for $26 and wants to buy a few shirts that cost $13 each. Which inequality can she use to determine the number of shirts she can buy, x?
Answer:
easy
Step-by-step explanation:
65=26=13x
you should be able to solve it from there, its legit just subtracting then dividing.
PLEASE HELP ME WITH THIS ONE !!!
Answer: A & C
Step-by-step explanation: 3 + 4 = 7 5 -3 = 2
Please guys I need this answer ASAP Two functions are shown below.
Function 1 y= -4/7x — 4
Which function is less steep and what is that slope?
A.
Function 1 and the slope is
-4/7
B.
Function 1 and the slope is
-4
C.
Function 2 and the slope is
-3/5
D.
Function 2 and the slope is
2
Function 1 and the slope is -4/7
=================================================
Explanation:
The slope of y = mx+b is m, which is the number to the left of x.
For function 1
y = (-4/7)x - 4
the slope here is m = -4/7 = -0.57 approximately
Let's use the slope formula to find the slope of function 2 given by the table of values.
Pick any two rows from that table. I'll pick the first two rows.
m = (y2-y1)/(x2 - x1)
m = (0.8 - 2)/(2 - 0)
m = -0.60
Comparing -0.57 and -0.60, we see that -0.57 is closer to zero on the number line. Meaning that function 1 has the less steep slope (i.e. more shallow slope). The further you go away from zero on the number line, in either direction, the slope will get steeper.
What is the domain of the function y = l n (StartFraction negative x 3 Over 2 EndFraction).
The domain of the provide function where the function is defined is x less than the number three.
What is the domain of the function?Domain of a function is the set of all the possible input values which are valid for that function.
The function given in the problem is,
[tex]y=\ln\left(\dfrac{-x+3}{1}\right)[/tex]
The above function is the function of logarithm. For the logarithmic function, it is defined for all the real numbers except 0.
Thus, the function should be greater than zero as,
[tex]\left(\dfrac{-x+3}{1}\right) > 0\\(-x+3) > 0\\-x > -3[/tex]
Change the sign of both side, by changing the inequality,
[tex]x < 3[/tex]
Thus, the domain of the provide function where the function is defined is x less than the number three.
Learn more about the domain of the function here;
https://brainly.com/question/2264373
Answer:
x<3
Step-by-step explanation:
edge 2022
If a point is on the perpendicular bisector, then...
O It will cut the segment into two parts
O it forms a 90 degree angle all by itself.
O it is pretty
O It is equidistant from the endpoints
I’ve tried a couple different things and are still stuck some help would be great
Answer:
12×7×4+1=337
Step-by-step explanation:
if u did anything else it would be smaller and u can't use all multiplication because 12×7×4×1=336
Which expression described a correct to find the missing number
Answer:
c
Step-by-step explanation:
it's 12x2 divided by 3
Answer:
c multiply by 2 divide by 3
Step-by-step explanation:
think of 12 as 12/1
multiply the numbers
it will be 24/3
divide
you get 8
The incenter of a triangle is the intersection point of the_____ bisectors
A) angle
B) midpoint
OC) circumcenter
D) perpendicular
Answer:
angle
Step-by-step explanation:
A N G L E
A N S W E R
Elizabeth invested $7,800 in an account paying an interest rate of 7\tfrac{1}{8}7 8 1 % compounded monthly. Mason invested $7,800 in an account paying an interest rate of 7\tfrac{3}{8}7 8 3 % compounded continuously. To the nearest dollar, how much money would Elizabeth have in her account when Mason's money has doubled in value?
Answer:
$339
Step-by-step explanation:
What is the width rounded to the nearest whole number? (width = 13.62 ft)
Answer:
14
Step-by-step explanation:
Our goal is to round it so we only have an integer part using the following rules:
If the first digit in the fractional part of 13.62 is less than 5 then we simply remove the fractional part to get the answer.
If the first digit in the fractional part of 13.62 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.
The first digit in the fractional part is 6 and 6 is 5 or above. Therefore, we add 1 to the integer part and remove the fractional part to get 13.62 rounded to the nearest whole number as:
14
The area of a rectangle is 54 square meters. The width is 9 meters long.
Answer:
A) [tex]9 *l=54[/tex]
Step-by-step explanation:
The area of a rectangle is w*l=A, where w is the width and l is the length.
In this question, we are given 2 of the variables. We are told that the width is 9 and the area is 54. So, to find the equation that represents this situation, simply plug in the values.
This gives [tex]9 *l=54[/tex].Then, if needed we can find the length of the rectangle. Through the division property of equality, we know that dividing both sides of the equation maintains the equality of the equation. So, we can divide both sides by 9 to isolate the variable.
This means that [tex]l=6[/tex].Find the area of the figure. Use 3.14 for it.
30 m
34 m
The area of the figure is about
m?
Answer:
963.73 m²
Step-by-step explanation:
To Find :-
Area of the figure
Solving :-
Area (figure) = Area (triangle) + Area (semicircle)
= 1/2bh + 1/2πr²
= 1/2 (30 x 34 + 3.14 x 17 x 17)
= 1/2 (1020 + 289 x 3.14)
= 1/2 (1020 + 907.46)
= 1/2 (1927.46)
= 963.73 m²
Select the correct answer. What is l-14l ? A. B. C. D. E.
Answer:
A
Step-by-step explanation:
Part A
What is the approximate area of each cross section of the cone and pyramid?
Type the correct answer in each box. Use numerals instead of words.
Both areas of the circle (cross section for cone) and the square(cross section for pyramid) was found using the
Area of Circle = πr^2Area of Square = Length * WidthArea of Flat ShapesNo Images were provided in this question, however, the cross section of a cone and a pyramid will result to the shapes of a circle and a square respectively when we slice them horizontally
Hence the area of the cross section of the cone can be estimated using the expression for the area of a circle
Area of Circle = πr^2
Also, the area of the cross section of the pyramid can be estimated using the expression for the area of a square
Area of Square = Length * Width
Learn more about area of flat shapes here:
https://brainly.com/question/17335144
What is the percentage tax charged if a calculator which cost $4000 is sold for $5000 after tax ?
Answer:
25%
Step-by-step explanation:
find the differences between original price $4000 and the altered price $5000.
$5000 - $4000 = $1000
to find the tax percent charged, take the difference price, divide by the original price and multiply with 100, ( to find percentage, it is a must to multiply with 100 ).
1000/4000 x 100
= 25%
so you will get 25 %