Identify the initial amount a and the rate of decay r (as a percent) of the exponential function y = 8(1 – 0.15). Evaluate the function
when t = 3. Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

Initial amount = 8

Decay rate = 15%

Step-by-step explanation:

Given the exponential function :

y = 8(1 – 0.15)

The general form of an exponential Decay function is :

A = P(1 - r)^t

Where

A = final amout ; P = initial amount ; r = days cay rate ; t = time

Hence, comparing with the equation given :

P = 8 = initial amount

r = 0.15 = 0.15 * 100% = 15% = Decay rate


Related Questions

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = -5/6x - 2

Step-by-step explanation:

The y-intercept is -2 because that is where the line crosses the y-axis Remember that slope is rise/run (there are many other terms for slope but this is the one I will reference). Therefore, the slope from one point to the next is down 5 and over 6. Since this is a decreasing slope (down 5), your slope will be negative

3 1/4 equals 1/2+ W

Answers

Hi there!

1.Simplifly each terms:

[tex]3\frac{1}{4}= 3\frac{1}{4}[/tex]

[tex]\frac{1}{2}=\frac{2}{4}[/tex]

2.Convert the term into mixed number:

[tex]3\frac{1}{4}=4+4+4+1=\frac{13}{4}[/tex]

3.Subtract both terms:

[tex]\frac{13}{4}-\frac{2}{4}=\frac{11}{4}[/tex]

4.SimpIifly the fraction term:

[tex]\frac{11}{4}=2\frac{3}{4}[/tex]

This means W=2 3/4..

Graph a line with a y-intercept of 3 and containing the point (2, 5).

To graph a line, plot two points on the line.

Answers

Answer:

Let me know if you'd like me to clarify something. Good luck

Rewrite the system of equations in slope intercept form

Y - 5 = -4x
3y - 9 = -6x

The slope-intercept form of the first equation is _______

The slope intercept form of the second equation is _______

Answers

Answer:

✔ y = –4x + 5

 

✔ y = –2x + 3

Step-by-step explanation:

We can write -

The slope-intercept form of the first equation is y = - 4x + 5.The slope intercept form of the second equation is y = - 2x + 3.

What is the general equation of a Straight line?

The general equation of a straight line in slope intercept form -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                  {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)        {Two point - slope form}x/a + y/b = 1                                         {intercept form}x cos(β) + y sin(β) = L                          {Normal form}

We have the given system of equations as -

y - 5 = - 4x

3y - 9 = - 6x

The given system of equations is -

y - 5 = - 4x

3y - 9 = - 6x

Now -

y - 5 = - 4x

y = - 4x + 5

and

3y - 9 = - 6x

3y = - 6x + 9

y = (-6/3)x + (9/3)

y = - 2x + 3

So, we can write -

The slope-intercept form of the first equation is y = - 4x + 5.

The slope intercept form of the second equation is y = - 2x + 3.

Therefore, we can write -

The slope-intercept form of the first equation is y = - 4x + 5.The slope intercept form of the second equation is y = - 2x + 3.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

If 4 tickets cost $16 how much does one ticket cost?

Answers

Answer:

$4

Step-by-step explanation:

$16 divided by 4 which equals $4

16/4 so $4 each ticket is 4 quid

What is The difference between 3 7/10 and 2 2/5

Answers

Answer:

1 3/10

Step-by-step explanation:

3 7/10 - 2 2/5 =

3 7/10 - 2 4/10 =

1 3/10

Answer:

1 3/10

Step-by-step explanation:

Change the denominator of 2 2/5 to 10 to match denominators by multiplying 2 (numerator and denominator)

New equation: 3 7/10 - 2 4/10 = 1 3/10

The number of subscribers to a newsletter decreased from 2400 to 1944. What was the percent of decrease in circulation?

Answers

the percentage decrease is 19%

can someone help me find the equation for this line please

Answers

Answer:

y=1/2x+1

Step-by-step explanation:

Answer:

y=0.5x+1

Step-by-step explanation:

First you want to mark 2 points. I chose (-2,0) and (2,2), it does not mater what points you chose. Once you have the two points, you need to find the slope. To calculate the slope can be seen below.

Slope (m) = ΔY/ΔX = 1/2 = 0.5

Once you have the slope, which is 0.5, you fill in this equation.

y = mx + b, where m is the slope and b is the y-intercept.

Now filling in given variables, you get this equation.

y = 0.5x + 1

Rotate left
(counterclockwise) 90°

Answers

Answer:

Draw it like it would be sideways, or if the image you see turned to the left, on its side.

Step-by-step explanation:

Below is an example of it turning. Your shape is already on the center point, so it won't be moving along the X-axis and the center point can stay where it is. the shortest side of it should be facing the left side of your paper.

Expand and simplify (x + 4)(x-7)

Answers

Answer.

(x+4)×(x-7)

= x^2 - 7x + 4x - 28

= x^2 - 3x - 28

I hope it's helps you then please mark me as Brainlist so I can get next Rank Ace.

Please Follow me give To much thanks please.

Can someone plzzzz helppp mee!!!!

Answers

Answer:

C. ASA Theorem

Step-by-step explanation:

Which relation below represents a function?
1) {(1,5),(2,6), (3,6), (2,7)}
2) {(4,7),(2,1),(-3,6).(-3,4)}
3) {(-1,6),(1,3), (2,5),(1,7)}
4) {(-1,2).(0,5),(5,0),(2, -1)}

Answers

Answer:

4.

Step-by-step explanation:

To find a function none of the x-values can be the same. For example, #1 isn't a function because 2 of the x values re 2 meaning it is not a function. #4 is a function because all of the x values are different numbers.

Question 1 ?

Question 2 ?

Question 3 ?

Question 4 ?

Question 5 ?

Answers

Answer:

1. 90 degrees

2. 23 degrees

3. 67 degrees

4. 5 units

5. 12 units

90°

23°

67°

5 units

12 units

I need the answer to this plzzzz

Answers

Gianna worked for 5 hours
Matthew work for 6 hours

-x=6+2y graph the equation

Answers

Step-by-step explanation:

-x=6+2y

2y=-x-6

y= -x/2 -3

Your teacher said to spend no less than 27 minutes on Dreamboc today. You spent 9 minutes on Dreambox in Advisory. How many minutes do you have to complete the requirement.

Answers

Answer:

18 minutes left

Your answer is 18 minutes to meet the requirements

Select all the functions that have no real number solution.
4x^2 + 100 = 0
3x^2 - 9 = 0
x^2+ 1 = 0
6x^2 - 216 = 0
x^2 - 49 = 0

Answers

A and c both have no real solutions. If you look it up, Brainly already gives you the answer.

what is the value in this question please hurry​

Answers

The abswet is 30 deg

ITS ME AGAIN AND I NEED HELP AGAIN PLZ AND THX

Answers

Answer:

$44.10

Step-by-step explanation:

$8.40÷2= $4.20 for 1 pound of ground beef

so:

10.5 x $4.20= $44.10

hope that helped :)

help please!! i dont understand geometry

Answers

Answer:

116

Step-by-step explanation:

so to find angle bcs we need to find x and to find x we need to create an equation. 160= angle scd +anglebcs so we do 180=3x+17+12x+8 and solve for x

160=3x+17+12x+8

step 1 combine like terms

160=15x+25

step 2 subtract 25 from each side

135=15x

step 3 divide each side by 15

9=x

then we plug in 9 to 12x+8 and get 116


PLEASE HELP!!
The choices are...

A) 4
B) 3
C) 2
D) 1

Answers

Answer:

C) 2

Step-by-step explanation:

The points from the second line are 2 times the amount of the coordinates of the first line

0
o
C
-10
-5
-5
0
5
10
-5

Answers

Answer:

its -10

Step-by-step explanation:

NO explain needed

~!¡! Congruent and Similar Polygons ¡!¡~

~Helps ~ please!~

In the picture △QCM∼△BWG.

What is the ratio of QC to BW?
A.) 3/4
B.) 4/3
C.) 1/2
D.) 2/1

Answers

Answer:

D.) 2/1

Step-by-step explanation:

QC is 8. BW is 4.

So the ratio of QC to BW is 8/4 which is equal to 2/1

Elliot is riding in a 100-mile bike race to raise money for a charity. So far he has completed 7_10of the race. How far has Elliot biked?

Answers

Answer: He rode 70 miles!!!

Answer:

70 miles

Step-by-step explanation:

Mark me as brainliest

PLZ HELP ME......WILL GIVE BRAINLIEST. THANKYOU!!!!. there are two pictures.

Answers

Step-by-step explanation:

The perimeter of the rectangle is 2(x+y)

area of the rectangle is xy

7x^2 + 3 - 5x -\2x^2

Answers

Step-by-step explanation:

[tex] {7x}^{2} + 3 - 5x - {2x}^{2} \\ = {5x}^{2} - 5x + 3[/tex]

Please see the screenshot and Help ASAP thank you!!

Answers

Answer:

1) Yes

2) No

Step-by-step explanation:

Substitute the x and y values of the given points into the equation and solve. If the result is a true statement, then they are solutions.

1) First, substitute the x and y values of (1,1.5) for the x and y in the given equation. Then, solve. (You can convert 1.5 from a decimal to a fraction, making it [tex]\frac{3}{2}[/tex].)

[tex]1.5= \frac{1}{4} (1) + \frac{5}{4} \\\frac{3}{2} = \frac{1}{4} +\frac{5}{4} \\\frac{3}{2} = \frac{6}{4} \\\frac{3}{2} = \frac{3}{2}[/tex]

The result is a true statement. Thus, (1, 1.5) is a solution to the equation.

2) Do the same with the point (12,4):

[tex]4 = \frac{1}{4} (12) + \frac{5}{4} \\4 = 3 + \frac{5}{4} \\4 = \frac{12}{4} +\frac{5}{4} \\4 \neq \frac{17}{4}[/tex]

The result is a false statement. The two values are not equal. Thus, (12,4) is not a solution to the equation.

brainly and 50 points if you answer right because this is my writing prompt from my math class.

Take a look at the Ccenario given your friend needs help. so how would you explain what to do? what are some possible mistakes your friend might make? remember to explain in complete sentances.
fatima paid for 5 pallets of grass to be deliverd.
each pallet of grass cost $129.95.
fatima paid $76.20 for delivery.
what is the total amount fatima paid?
pls help ​

Answers

Answer:

$725.95

Step-by-step explanation:

Given

Cost of each pallet = $129.95Number of pallets = 5Delivery cost = $76.20

Total cost is:

5*$129.95 + $76.20 = $725.95

AA'B'C' is a reflection of AABC. Which best describes the reflection?

Answers

Answer:

A reflection over the line y = 3.

Step-by-step explanation:

You will draw a straight vertical line on 3 and then count the spaces. If you have equal space on both sides then your answer is right.

Help Please!!!!!!!!!!!!!

Answers

Answer:

Answer vary:

(a)

*Laila is not wearing tennis shoes.

*It is not the case that Laila is wearing tennis shoes.

(b)

*Jassim is in Germany

Step-by-step explanation:

honestly in my opinion that’s my answer. to be honest either could be wrong but I’m fairly confident in part a but b I’m sorta confident.

(a) what you need to do is focus on the word negations and then you’ll see easily what the answers are. and that’s how I got the answers I got.

meaning of negations : the contradiction or denial of something

(b) so on part b your looking for the conclusion of the sentence and as the sentence explains “If Jassim’s spouse is happy, then Jassim is in Germany.” and for me I came to the conclusion of that answer.

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