A quantity with an initial value of 720 decays continuously at a rate of 9% per hour. What is the value of the quantity after 69 hours, to the nearest hundredth?

Answers

Answer 1

Answer:

1.45

Step-by-step explanation:

f(t)=720e^rt

f(t)=720e

rt

Continuously uses Pe^(rt)

r\text{: decays }9\% \

r: decays 9%→−0.09

per hour

f(t)=720e^{-0.09t}

f(t)=720e

−0.09t

(where t is in hours)

69\text{ hours: no time conversion necessary}

69 hours: no time conversion necessary

hours are the only units in the problem.

\text{Plug in }t=69

Plug in t=69

f(69)=720e^{-0.09(69)}

f(69)=720e

−0.09(69)

1.44665097413

1.44665097413

\approx 1.45

≈1.45

Round to the nearest hundredth


Related Questions

-(7p+6)-2(-1-2p) what is that simplified pls help! And explain

Answers

Answer:

-3p-4

Step-by-step explanation:

-(7p+6)-2(-1-2p)

-7p-6+2+4p

-7p+4p-6+2

-3p-6+2

-3p-4

(20 POINTS) PLZZZZZ HELPPPPPP

2. A diagonal shortcut across an empty
rectangular lot is 97 feet. The lot is 72
feet long. What is the other dimension of
the lot?
A 65 feet
C 120.8 feet
B 84.5 feet
D 169 feet

Answers

Answer:

65 ft (which is A)

Step-by-step explanation:

A² + B² = C²

72² + B² = 97²

B² = 4225

B = √4225

B = 65 ft

A survey was given to a random sample of the residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. The survey reported a confidence interval that between 16.5% and 25.5% of the residents supports the plan. What is the margin of error on the survey? Do not write \pm± on the margin of error.

Answers

Answer:

9

Step-by-step explanation:

The confidence interval is related to margin of error ; according to the relation :

Confidence interval = mean ± margin of error

Margin of Error = (upper boundary value - lower boundary value)

Confidence interval = 16.5% and 25.5%

Margin of Error = (25.5% - 16.5%)

Margin of Error = ±9

The margin of error on the survey is 9.

We know that

Confidence interval = mean ± margin of error

And,

Margin of Error = (upper boundary value - lower boundary value)

We have Confidence interval between 16.5% and 25.5%.

upper boundary value = 25.5%

lower boundary value = 16.5%

So, Margin of Error

= 25.5% - 16.5%

=9

Therefore, Margin of Error is 9.

Lean more:https://brainly.com/question/14396648

5 consecutive odd number between 40 and 60​

Answers

Answer:

47 49 51 53 55

Step-by-step explanation:

Consecutive: following one another in uninterrupted succession or order; successive: six consecutive numbers, such as 5, 6, 7, 8, 9, 10. marked by logical sequence. Grammar. expressing consequence or result: a consecutive clause.

Odd number between 40 and 60​: 41, 43, 45, 47, 49, 51, 53, 55, 57, 59

Answer:

The answer is 41, 43, 47, 49 and 51

HELLLPPPPP WITHHHH MATHHHH

Answers

Answer:

54 inches

Step-by-step explanation:

6/18=7/x

6x=7(18)

6x=126

x=21

21+15=18=54

A circular cylinder has a curved surface area 1320cm square and the radius of its base is 10.5cm find the height and volume of cylinder.​

Answers

Answer:

h=9.51

v=3293.89

Step-by-step explanation:

hope it helps :)

Answer:

h = 9.51

v = 3293.89

Step-by-step explanation:

please mark me as brainliest

Can anyone please help me this these questions:

1. $.50 is what percent of $2.00
2. $.02 is what percent of $2.00
3. $2.00 is what percent of two dollars

Answers

Answer:

1.

[tex]25\%[/tex]

2.

[tex].04\%[/tex]

3.

[tex]100\%[/tex]

Answer:

1 is 25% because .50 going into 2 00 4 times or 35%

2 is 10% because 02. is 10% of 2.00

4 is 100% because its all of the 2.00

B. Find the Least Common Multiple (LCM) of the following sets of numbers.
15. 12 and 5
11. 8 and 3
12. 9 and 15
13.
14.
6 and 4
10 and 12​

Answers

60
24
45
12
60

Hope this helped

Answer:

11. LCM of 12 and 5 = 60

12.LCM of 8 and 3 = 24

13.LCM of 9 and 15 = 90

14.LCM of 6 and 4 = 12

15.LCM of 10 and 12 = 60

Vitai ir 8 reizes vairak konfekšu neka Annai, bet Uldim ir par 10 konfektēm vairak neka Annai. Cik konfektes ir katram no bērniem, ja kopa viņiem ir 60 konfektes? Lai atrisinatu, sastadi vienadojumu!

Answers

Atbilde:

Anna = 14

Vita = 14 + 8 = 22

Uldis = 14 + 10 = 24

Soli pa solim:

Latvietis

Anna = x

Vita = x + 8

Uldis = x + 10

Kopā = 60

x + x + 8 + x + 10 = 60

3x + 18 = 60

3x = 60 - 18

3x = 42

x = 42/3

x = 14

Anna = 14

Vita = 14 + 8 = 22

Uldis = 14 + 10 = 24

( GRADE 7 ALGEBRA). 5m + 6=_
when m=-3

Answers

Answer:

-9

Step-by-step explanation:

5m+6=

m=-3

substitute 3

5(-3)+6=-9

-15+6=-9

Answer:

-9

Step-by-step explanation:

If m = -3, then multiply -3 x 5 = -15, now add 6 to that which will give you -9.

Dla każdej z liczb 20, 60, 150, 300, znajdź liczbę : a) o 10% większa, b) o 20% mniejszą, c) o 50% mniejsza,

Answers

Odpowiedź:

Prosimy sprawdzić wyjaśnienie

Wyjaśnienie krok po kroku:

Na numer: 20

a.) 10% więcej;

(1 + 10/100) * 20;

1,10 * 20 = 22

b.) 20% mniej

(1 - 20/100) * 20

0,8 * 20 = 16

c.) 50% mniej

(1 - 50/100) * 20

0,5 * 20 = 10

Dla numeru 60:

a.) 10% więcej;

(1 + 10/100) * 60;

1,10 * 60 = 66

b.) 20% mniej

(1 - 20/100) * 60

0,8 * 60 = 48

c.) 50% mniej

(1 - 50/100) * 60

0,5 * 60 = 30

Na numer 150;

a.) 10% więcej;

(1 + 10/100) * 150;

1,10 * 150 = 165

b.) 20% mniej

(1 - 20/100) * 150

0,8 * 150 = 120

c.) 50% mniej

(1 - 50/100) * 150

0,5 * 150 = 75

Dla numeru 300;

a.) 10% więcej;

(1 + 10/100) * 300;

1,10 * 300 = 33%

b.) 20% mniej

(1 - 20/100) * 300

0,8 * 300 = 240

c.) 50% mniej

(1 - 50/100) * 300

0,5 * 300 = 150

‼️ PLEASEEE HELPP ‼️

Answers

Answer:

x=18

Step-by-step explanation:

When a triangle has a midline the midline (in this case "3x-43") is 1/2 of the base of the triangle (in this case "4+x") so you can then say

4+x = 2(3x-43)

Solve that out to find that x = 18

State if the triangles are similar. If so, state how you know they are.

Answers

Answer:

The triangles are similar

Step-by-step explanation:

Since EF ║ UT, m∠FUT = m∠EFU because alternate interior angles are congruent when lines are parallel.

m∠UDT = m∠EDF because vertical angles are congruetnt

Therefore ΔUDF is similar to ΔFDE because if two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar.

Cookie Creations sells 8-inch cookies for $3 each plus a flat $5 delivery fee. Zach has $14 to spend on cookies.
Write and solve an equation to determine how many cookies, x, Zach can buy and have delivered.
in the boxes.

Answers

Answer:

($14-$5)=x($3)

x=3 cookies

Step-by-step explanation:

($14-$5)=x($3)

9=3x

9/3=3x/3

x=3 cookies

Write an equation in slope intercept form. m=6, b=-8

Answers

Answer:

y=6x-8

Step-by-step explanation:

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

Which type of triangle is formed by joining three line segments with the following lengths?

8 in, 8 in, 8 in

Answers

Answer:

Equilateral Triangle

Step-by-step explanation:

graph x<2/9 on a number line

Answers

Answer:

The line should begin on the right side 2 dashes (the small lines tht go throught the number line. There are 9 dashes between each whole  number.)

Then the line should go left because it says x is less than 2/9. (which is right)

The line segment you should choose is the one with the open circle with an arrow going to the left.

<---O (looks like this lol.)

Write Each Ratio as a Percent

1. 14 losses in 50 games

2. 4/5 of the students ride the bus

3. if AB represents 25% what is the length of a line segment that is 100%?

A________________B
5ft

Answers

Answer:

28%

80%

20

Step-by-step explanation:

hope this helps

3) Solve the System of Equations using Elimination/Combinations.
-2x-y=-4
x+2y=5

Answers

Answer:

[tex]y = 2 \\ x = 1[/tex]

Step-by-step explanation:

[tex]y = 2 \\ x = 1[/tex]

Please I need help
Write the equation for a parabola with a focus at (1,-4) and a directrix at x = 2.
X=?

Answers

Answer:

Step-by-step explanation:

The directrix is a vertical line, so the parabola is horizontal. The focus lies to the left of the directrix, so the parabola opens to the left.

For a left-opening parabola:

x = a(y-k)²+h,

a < 0,

vertex (h,k)

focal length p = 1/|4a|

focus (h-p, k)

directrix: x=h+p

Apply your data

focus (1,-4)

directrix x=2

vertex (1.5,-4).

focal length p = 0.5

a = -1/|4p| = -½

x = -½(y-2)²+ ½

Emily is entering a bicycle race for charity. Her mother pledges $0.20 for every 0.75 miles she bikes. If Emily bikes 15 miles, how much will her mother donate? plz help :D

Answers

Answer:

24 dollars

Step-by-step explanation:

Mister Lincoln by juices and water for the school picnic a pack of their juices box cost $5 about the six water bottles cost $3 Mister Lincoln spends $94 for a Hyundai Sonata juice boxes and bottled water.

Answers

Answer:

10 packs of juice and 15 packs of water was bought by Mr. Lincoln

Step-by-step explanation:

Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes costs $5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes and bottles of water.

Solution:

Let x represent the number of packs of juice boxes bought by Mr. Lincoln and let y represent the number of packs of water bottles bought by Mr. Lincoln.

Each pack of juice cost $5 while each pack of water cost $3. Mr. Lincoln spends $95, therefore:

5x + 3y = 95       (1)

Each pack of juice contain 8 juice boxes and each pack of water contain 6 water bottles. Since 170 juice boxes and bottles of water was bought, therefore:

8x + 6y = 170         (2)

Solving equations (1) and (2) simultaneously. Multiply equation (1) by 2 and then subtract equation (2) from the result to get:

2x = 20

x = 10

Substitute x = 10 in equation (1):

5(10) + 3y = 95

50 + 3y = 95

3y = 45

y = 15

Hence 10 packs of juice and 15 packs of water was bought by Mr. Lincoln

I know this is easy but I got a diff answer so pls help. Worth 5 points

Answers

Step-by-step explanation:

[tex] \frac{5}{8} \times \frac{3}{2} \div \frac{15}{16} \\ \frac{15}{16} \times \frac{16}{15} \\ = 1[/tex]

Answer:

1

Step-by-step explanation:

5/8 x 1 1/2 / 15/16 = 1                        (5/8 / 15/16 = 2/3,   2/3 x 1 1/2 =1 )

A recipe requires 4 cups of flour to make 28 dinner rolls. How many cups of flour is needed to make 112 rolls?

Answers

Answer:

16 cups

Step-by-step explanation:

You have the ratio 4 cups = 28 dinner rolls. 28 * 4 = 112, so you know that if you multiply both sides of that equation by 4 you will get the number of cups of flout to make 28 dinner rolls:

4 cups = 28 dinner rolls

becomes

16 cups = 112 dinner rolls

so the answer is 16 cups

Answer:

16 cups of flour are needed to make 112 dinner rolls.

Step-by-step explanation:

28 divided by 4 is 7 which is the number of rolls for one cups of flour. Divide 112 by 7 and thats the amount of flour needed for 112 dinner rolls. You can also multiply 28 4 times since 4 can go into 16 when multiplied.

How many squares are there in this diagram?​

Answers

Answer:

well sense you got the answer now, ima just take the points.

Step-by-step explanation:

its a 4x4 square with 16 squares

HELP PELASE ASAPppppp

Answers

Answer:

sin M = NK/MK = m/n

cos K = NK/MK = m/n

=> sin M/cos K = 1

HELP I NEED HELP ASAP

Answers

Answer:

constant... I think... sorry if it's wrong... just trying to help ;-;

Step-by-step explanation:

Hope this helped! Good luck! :)

Answer:

linear

Step-by-step explanation:

if you put it into an equation, it would be y = 5 + 2x, which is a linear (straight line) equation

You are baking cookies for a bake sale. It takes 30 minutes to mix the cookie dough and 10.5 minutes to bake a sheet of cookies. The total time can be modeled by t(x) = 10.5x+30, where x is the number of sheets of cookies baked. a. Graph the function and identify its domain and range. b. Find and interpret the value of x so that t(x) = 114.

Answers

10.8571 should be the approximate answer

30 people liked Brand X. This is 20% of the people in a survey.
a) How many people were there in the survey?
b) What percent of the people did not like Brand X?
c) How many people did not like Brand X?

Answers

a) 150 people
b) 80%
c) 120 people

Suppose f(x) = 3x^2 - 2x... Find f(-4)​

Answers

Let x equal to -4 and substitute into the original function f(x)
f(-4)=56
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