A quantity with an initial value of 980 decays exponentially at a rate of 0.3% every 6 decades. What is the value of the quantity after 49 decades, to the nearest
hundredth?

Answers

Answer 1

Answer:

956.73

Step-by-step explanation:

0.3% = 0.003

1-0.003 = 0.997

49/6 = 8 r1 (use 8 because decay is not continuous)

0.997^8 = 0.97625...

0.97625... x 980 ≈ 956.73

Answer 2

Answer: 956.25

Step-by-step explanation:


Related Questions


48 ? (-8) = (-6) please help with this

Answers

Answer:

Division sign

Step-by-step explanation:

48 ÷ (-8) = (-6)

The answer is ÷

if y=12 when x=3, find y when x =15 ( Y varies directly as x)​

Answers

y = kx
when y= 12, x=3
12 = 3k
k = 12/3
k = 4

y = 4x
when x= 15
y = 4(15)
y = 60

Help Please I put 70 pts on this
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:


Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)

Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)

Part C: Describe the constraints of the domain. (3 points)

Answers

Answer: A) intercepts: zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4

 B) average slope: ≈50, about $50 increased profit for each $1 increase in price.

Step-by-step explanation:

A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.

The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Obviously profit is increasing with price for x < 4, and is decreasing with price for x > 4.

__

B) We read the value of f(1) from the graph to be about 120, so the average rate of change is about ...

 (f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50

The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.

_____

* If we take the peak profit to be $270, we can write f(x) as ...

 f(x) = 16.875x(x -8)

Then f(1) = 118.125 and the average rate of change is 50.625. For the purpose here, we judge the extra precision to be pointless.

Step-by-step explanation:

A) Intercepts zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4

B) average slope: ≈50, about $50 increased profit for each $1 increase in price.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.

The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Profit is increasing with price for x < 4, and is decreasing with price for x > 4.

B) The value of f(1) from the graph to be about 120, so the average rate of change is about.

(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50

The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.

If we take the peak profit to be $270, we can write f(x) as:

f(x) = 16.875x(x -8)

Then f(1) = 118.125 and the average rate of change are 50.625. For the purpose here, we judge the extra precision to be pointless.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ5

26 + 58 rounded to the nearest ten​

Answers

Answer:

80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

26+58=84

Rounded=80

What is the value of x?


Enter your answer in the box.

x =

Answers

Answer:

x = 4

Step-by-step explanation:

Let's find the length of JL as a first step.  Knowing the result, we can easily find x.

                                  |JL|              1

sin 30 degrees = ----------------- = --------

                                    8√2            2

Then 2 |JL|  = 8√2, or  |JL|  = 4√2

Next, find x:  sin 45 degrees = x / |JL| = x / [4√2], and since sin 45 degrees is 1 / [√2],

                     1

x / [4√2] = --------    which results in x = 4

                    √2

Find the surface area

Answers

Answer:

rectangular prism = cuboid

total surface area of a cuboid (tsa) = 2(lb+bh+hl)

l=length = 3cm

b=breadth = 6cm

h=height = 5cm

tsa = 2( 3*6 + 6*5 + 5*3 )

        2( 18 + 30 + 15 )

         2 * 63

       = 126 [tex]cm^{2}[/tex]

hope this answer helps you.....

I need your help asap​

Answers

1 - d

2 - e

3 - a

4 - c

Hope this helps!

2-e
4-c
3-6
1b
This is the answer to your question please

answers r
268
201
151
67

Answers

67in³

Answer:

we have

volume of sphere =4/3 πr³=1/3×π×4³=67.02=67in³ is your answer.

PLSSSSS HELPPPPPP MEH ;^;

What is the lateral surface area of the triangular prism?

Answers

Answer:

I think it's 56.4

Step-by-step explanation:

if not I'm sorry

What is 5% as a fraction?

Answers

Answer:

1/20,2/40

Step-by-step explanation:

1/20

brainly 20 characters thing jajdjwkdjsjeijdkekekd

I’m practicing for my test and I’m confused, can you guys help?

Answers

9514 1404 393

Answer:

  y = 170 -3x

Step-by-step explanation:

The marked angles are called "same-side interior angles", or "consecutive interior angles" because they are between the parallel lines and on the same side of the transversal. Such angles are supplementary.

  y + (3x +10) = 180

  y = 180 -(3x +10) . . . . . subtract everything on the left that is not y

  y = 170 -3x . . . . . . . . .  simplify

Can someone please help me?!?!​

Answers

Answer:

0, -12

Step-by-step explanation:

0,-12 is the answer dkfnfnsjdnajjdbdjdjs

can someone help me :)

Answers

Answer:

-61 degrees F

Step-by-step explanation:

Can you pls help me

Answers

Answer:

b

Step-by-step explanation:

25 divided by 25 equals 1

375 divided by 25 equals 15

if the diamter of the sun is 16cm, what is the area

Answers

201.06cm²  

Hope this helps.

the winning times in the 5km race for the USA Women's Runners from 1999 to 2004 are listed below in minutes which list shows the list from the fastest time to the slowest time.​

Answers

Answer:

I dont see the answer choices dog

ANSWER QUICK
A backpack is on sale for 15% off the original price of $39.99. What is the sale price?

Answers

Answer:

33.99

Step-by-step explanation:

multiply the original by 100-the sale percentage

(100-15 = 85

.85x39.99

Answer:

$33.99

Step-by-step explanation:

We are given that we have 15%.

What this means is that we subtract 15% from 100%.

Doing that we get 1.00 - 0.15 = 0.85

Therefore the price equals $39.99 * 0.85

The final price is $33.99

explain how to isolate the variable in the equation -2/3+7=15

Answers

Answer:

n= -12

Step-by-step explanation:

- 2n/3  + 7=15          Subtract 7 from both sides and move all terms containing

           -7 = -7                      n to the right

- 2n/3 = 8                multiply both sides of equation by - 3/2

-3/2  x (-2n/3) = -3/2 x 8

n= -3/2 x 8                     cancel the common factor of 3

n= -12

The approximate areas of South Carolina and Perto Rico are listed below: South Carolina: 8.29 * 10 ^ 4 kilometers Puerto Rico: 5.33 * 10 ^ 3 square kilometers What's the difference between the areas of the two states? Express your answer using scientific notation.​

Answers

Answer:

h if Shamus for steak FFS ah MI dj

Step-by-step explanation:

bight you gddjf SD NJ Gzgz SC jdd

Answer: 1.567x10^5

Step-by-step explanation: 2.2x10^5-5.33x10^3

220,000-5,330

214,670

2.1467x10^5

hii!! please help!!

Answers

don't use link u will get a virus

Answer:

im not sure try use calculater

Step-by-step explanation:

What is the slope and equation of a line parallel to the y-axis passing through point (-4,3)

Answers

Answer:

-4 is x and 3 is y

Step-by-step explanation:

Leo made an apple pie for dessert. He split the pie into 4 slices. What is the angle measurement of each slice?

Answers

90 degrees because it is 360 / 4

jack typed 45 words in 1 minute. how many minutes will it take jack to type 990 words

Answers

Answer:

22 minutes

Step-by-step explanation:

990/45=22

Answer:

it will take 22 minutes

i just multiplied 45 and 22 and got 990

What is the distance between (4, 3) and (7, 3)?

Answers

Answer:

3 units

Step-by-step explanation:

Can someone please explain how to solve these questions.

Answers

Answer: your answer are in the screen shots hope this helped  

Step-by-step explanation:

Evaluate the expression below when P=7 (P+3)

Answers

Answer:

Answer:

10

Step-by-step explanation:

(7+3) = 10

Jordan is a manager of a car dealership. He has two professional car washers, Matthew and Arianna, to clean the entire lot of cars. Matthew can wash all the cars in 14 hours. Arianna can wash all the cars in 11 hours. Jordan wants to know how long it will take them to wash all the cars in the lot if they work together.

Write an equation and solve for the time it will take Matthew and Arianna to wash all the cars together. Explain each step.

Answers

Answer:

≈ 6 hours 10 minutes

Step-by-step explanation:

Matthew can wash all the cars in 14 hours ⇒ 1/14 of all cars in 1 hourArianna can wash all the cars in 11 hours ⇒ 1/11 of all cars in 1 hour

Together they can wash in 1 hour:

1/14 + 1/11 = 25/154

Time needed to wash all the cars:

154/25 = 6.16 hours ≈ 6 hours 10 minutes

pls help immediately! this is due in 3 mins :/. (pls don’t give a link, i’ll give brainiest for the correct answer just pls help!)

Answers

Answer:

50 i think but i'm not 100 % sure i'm sorry

Step-by-step explanation:

19 is greater than the sum the number n and 3

Answers

your answer should be 19>n+3

What is the value of this expression?

7 + 4 × (6 − 2)2

Answers

Answer: 39
Explanation:
Use PEMDAS
First is parentheses
7 + 4 * (4) 2
Next is multiplication
7 + 16 * 2
Multiply 16 by 2 to get 32
Then add
32 + 7 = 39
Therefore, answer is 39
Hope it helps
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