A quantity with an initial value of 840 decays continuously at a rate of 5% per day. What is the value of the quantity after 10 weeks, to the nearest hundredth?

Answers

Answer 1

Answer:

25.37

Step-by-step explanation:

Write a function:

f(t)=840e^{rt}

f(t)=840e

rt

Continuously uses Pe^(rt)

-0.05

r: decays 5%→−0.05

per day

f(t)=840e^{-0.05t}

f(t)=840e

−0.05t

(where t is in days)

10 weeks→10⋅7→70 days

There are 7 days in a week

Plug in t=70

f(70)=840e^{-0.05(70)}

f(70)=840e

−0.05(70)

25.3658020747

≈25.37


Related Questions

What is the slope of the line 4x-3y=6​

Answers

Answer:

4

_

3

Step-by-step explanation:

1 1/3 or 4/3 because you need to get it in y=mx+b form.

A baker can bake 72 muffins in 3 hours. If the baker sell each muffin for $0.85 each, how much money can the baker make?

Answers

He will make $61.20 for 72 muffins in three hours.

If anyone plays pokemon Go put your code in the answer so I can add you

Answers

i do not play but i hope u find someone who u can play with

Answer:

give your trainer code i will add you

Step-by-step explanation:

but you have to invite me to raids

Arrange the numbers 53 , 62 and 27 in order from least to greatest]

Answers

Answer:

27 53 62

Step-by-step explanation:

Answer:

27, 53, 62

Step-by-step explanation:

A jacket was on sale for 20% off its original price of $60. Now, it is on sale for an additional 10% off its previous sale price. Determine whether each statement is true or false. The jacket is now 40% off its original price. True or false The jacket now costs $48.00. True or false The jacket is now 72% of its original price. True or false The jacket now costs $43.20. True or false

Answers

Answer:

Step-by-step explanation:

Step one:

given

original price= $60

discount =20% of 60

discount = 20/100*60

discount = 0.2*60

discount = $12

selling price= 60-12= $48

Added price= 10% off $48

Added price= 10/100 *48

Added price= 0.1 *48

Added price= $4.8

new price= 4.8-48=$43.2

the new price of the jacket is $43.2

1. The jacket is now 40% off its original price

40/100*60=$24-----False

2. The jacket now costs $48.00-----False

3.  The jacket is now 72% of its original price= 72/100*60=$43.2----True

4. The jacket now costs $43.20------True

Convert the following fraction to a decimal: 21/35

Answers

Answer:

0.6 hope it helps

Step-by-step explanation:

Answer:

the answer is 0.6

Step-by-step explanation:

[tex]\frac{21}{35}=\frac{3}{5}[/tex]

[tex]\frac{3}{5}=0.6[/tex]

hope this helps :)

how many times can 19,043 go into 100​

Answers

Zero times, did you word this question correctly?
About 0.005251273433808 times

Sumiko and Jandella ran the bleachers together today at Poly High School. Sumiko runs these same bleachers every 6 days and Jandella runs them every 16 days.

Answers

Answer:

The soonest they will see each other again is in 48 days

Step-by-step explanation:

Here is the complete question:

Sumiko and Jandella ran the bleachers together today at Poly High School. Sumiko runs these same bleachers every 6 days and Jandella runs them every 16 days. The soonest they will see each other again is in days.

Step-by-step explanation:

From the question, Sumiko and Jandella ran the bleachers together today, that is, they saw each other today.

Sumiko runs the bleachers every 6 days while Jandella runs them every 16 days

To determine how soon they will see each other again, we will list the days they will run the bleachers separately.

For Sumiko, she will run the bleachers on the

6th, 12th, 18th, 24th, 30th, 36th, 42nd, 48th, 54th, 60th, etc days after today.

For Jandella, she will run the bleachers on the

16th, 32nd, 48th, 64th, 80th, etc days after today.

From above, they will both run the bleachers on the 48th day after today.

Hence, the soonest they will see each other again is in 48 days.

2). Arielle has a collection of grasshoppers and crickets. She has 561 insects in all.
The number of grasshoppers is twice the number of crickets. Find the number of
each type of insect that she has

Answers

Arielle has 374 grasshoppers and 187 crickets in all.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let's set

x = number of grasshoppers

y = number of crickets

Arielle has a collection of 561 insects, therefore

x + y = 561            [1]

The number of grasshoppers is twice the number of crickets, so

x = 2y                   [2]

Substituting [2] in [1]:

2y + y = 561

Simplifying

3y = 561

Dividing by 3

y = 561/3

y = 187

From [2]:

x = 374

x = 374

Hence, the number of each type of insect that she has 374 grasshoppers and 187 crickets

Learn more about equations here;

https://brainly.com/question/25180086

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Joseph rented a surf board for $5.25 per hour plus a $16.75 fee. Write an expression that shows how much it will cost josheph to rent the surf board for x hours

Answers

Answer:

$22 dollars

Step-by-step explanation:

Add the two numbers. x means one for mathamatics.

Write the equation of the line that passes through the points (-7,0) and (-7,-8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

undefined slope

Step-by-step explanation:

the same number is on the x-axis so it is undefined

Please help me solve this question:
−(−D)=

Answers

Answer

D = 0

Step-by-step explanation:

-(-D) will need to be distri by -1 so a negotive times a neg is a positive so -D turns to positive D. And positive D is on the zero.

The regular pnce of a calculator is $15.98.Today you can buy it on sale for 70% of the regular price About how much will the calculator cost?

Answers

Answer:

$11.19

Step-by-step explanation:

15.98•0.70=11.19

Answer:

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Step-by-step explanation: 3pooopppppp391ti194i19iq09r4it0941it09134t901i4t943it09431ti934it9134t91i3t90349it9130ti1093it109ti190ti0910i9ti90i9103ti9i91349ti9139i04t09i34ti9130ti109ti0914ti1903ti9304ti094t130ti1043it10i0i41i(3+4=7)d

ffd

fd

sf

f

q

fqrqigorwgiorritj2oi35tj3oirgiojejigowmgittgio2mg2gnoioghuiw5tngu42ni542ugn25o

how manny sixteenths are in 15/16

Answers

Answer:

15 sixteenths are in 15/16

Step-by-step explanation: There is a 15 in the numerator.

Answer:

1

Step-by-step explanation:

1

A certain lock has four tumblers, and each tumbler can assume six positions. How many different possibilities are there?

Answers

Answer:

24?

Step-by-step explanation:

4 times 6

Possibilities for one tumbler is 6. So, the number of different possibilities for 4 tumblers is 6⁴ or 1296.

Permutation:

Important information:

A certain lock has four tumblersEach tumbler can assume six positions.

We can use permutation to find the number of possibilities for 1 tumble.

[tex]^6P_1=\dfrac{6!}{(6-1)!}[/tex]

[tex]^6P_1=\dfrac{6!}{5!}[/tex]

[tex]^6P_1=6[/tex]

The number of different possibilities for 4 tumblers is:

6 × 6 × 6 × 6= 1296

Therefore, the number of different possibilities for 4 tumblers is 1296.

Find out more about 'Permutation' here:

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What is the length of the diagonal of the square shown below? 11 45° 11 11 90° 11
A. 121
B. 11
C. 11√11
D. √11
E. 11√2
F. √22​

Answers

Answer:

It would be 11

Step-by-step explanation:

The square's diagonal length is; (E) d = 11√2.

What is a diagonal?

A diagonal is a line segment that connects two vertices (or corners) of a polygon also, connects two non-adjacent vertices of a polygon.

This connects the vertices of a polygon, excluding the figure's edges.

A diagonal can be defined as something with slanted lines or a line connecting one corner to the corner farthest away.

A diagonal is a line that connects the bottom left corner of a square to the top right corner.

So, we need to determine the length of the square's diagonal.

The formula for the diagonal of a square is; d = a2; where 'd' is the diagonal and 'a' is the side of the square.

Now, d = 11√2.

Hence, the square's diagonal length is (E) d = 11√2.

Know more about diagonals here:

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6. The table shows the relationship between x and y values.
X
35
45
65
55
82
y
94
88
76
What is the slope of the linear function in decimal form?

Answers

Answer:

y = x+5 This equation satisfies all the four sets of x and y values 1.When x = 5,y = x+5 = 5+5 = 10 2.When x = 10,y = x+5 = 10+5 = 15 3.When x =15,y = x+5 = 15+5 = 20 4.When x = 20,y = x+5 = 20+5 = 25 Hence,

Step-by-step explanation:

Explain, in your own words, how to solve the problem shown. When finished explaining the steps, write your answer. There are 4,050 newspapers to be delivered in a certain area of town. If 18 newspaper carriers are all delivering the same number of papers, how many will each deliver?

Answers

Answer:

225

Step-by-step explanation:

Total number of newspapers to be delivered = 4050

Total number of carriers to deliver the newspapers = 18

Each newspaper carrier delivers the same number of newspapers.

To find:

The number of newspapers that each newspaper carrier will deliver ?

Solution:

The solution to this problem lies in the language of the problem itself.

As we are given that every newspaper carrier will deliver the same number of newspapers.

Therefore, we need to divide the total number of newspapers i.e. 4050 in 18 (number of newspaper carriers) equal parts.

So, the answer is:

[tex]\dfrac{4050}{18} = \bold{225}[/tex]

please help?!
elsies aunt borrows $400 with an interest rate of 1.5%. how much interest will she pay after 4 years?
show work?!

Answers

She is charged $80 in interest for 4 . The total she has to pay back is $480.

Answer:

480 duh

Step-by-step explanation:

5. Factor Completely
x2 + 16x + 64

Answers

Answer:

x^2 + 16x + 64 = (x + 8) (x + 8)

Step-by-step explanation:

Hope this helps. have a nice day

The art supply store is having a sale. Paint sets are 20% off and everything else is 15% off. Before the discount, a paint set is priced at $43.50, a canvas is $12.75, and paint brushes are $7.50. Mary purchases all three of these items. About how much did Mary spend after the discount, before sales tax? Group of answer choices

Answers

Answer:

Step-by-step explanation:

Step one:

given

paint set= $43.50

20% off 43.50

20/100*43.50

0.2*43.50

=$8.7

43.5-8.7

new price of paint set=$34.8

canvas=$12.75

15% off 12.75

15/100*12.75

0.15*12.75

=1.9125

=12.75-1.9125

new price of canvas=$10.83

paint brushes are $7.50

15% off $7.5

15/100*7.5

0.15*7.5

=1.125

=7.5-1.125

new price of paint brush=$6.38

total =$34.8+$10.83+$6.38= $39.25

Answer:

actually the answer is 52

Step-by-step explanation:

20% x 43.50/100 = 34.8

12.75 x 15% /100 = 10.83

7.50x 15%/100 = 6.37$

Add all of them together and you will get 52$

Easiest way to do it

20% x 43.50/100

12.75 + 7.50 = 20.25

20.25 x 15%/ 100 = 3.03

20.25 - 3.03 = 17.21

Then add all of them together and you will still end up with about 52$

17.21 + 34.8 = 52

When did the earliest Jewish communities start

Answers

Answer:

The first Jewish communities in Babylonia started with the exile of the Tribe of Judah to Babylon by Jehoiachin in 597 BCE as well as after the destruction of the Temple in Jerusalem in 586 BCE. Many more Jews migrated to Babylon in 135 CE after the Bar Kokhba revolt and in the centuries after.

Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = 2x – 5 2y – 4x =___
–10
–5
5
10

Answers

Answer:

the answer is -10

Step-by-step explanation:

hope this helped you!!!!

Answer:

-10 the guy above is correct :3

Step-by-step explanation:

i need help to solve please

Answers

Answer:

x = 52

Step-by-step explanation:

Known:

What to find = x

Exterior angle = 142

Right angle = 90

Unknown:

what unknown value is = ?

Interior angle = ?

1. Find the angle of the interior angles.

180 - 142 = 38

2. Add the two known angles

38 + 90 = 128

3. Subtract from 180

180 - 128 = 52

x = 52 is the answer.

Hope this helped,

Kavitha Banarjee

Write an equation in slope-intercept form for each table below. Show how you found the slope and y-intercept.

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

The intercept is the point where the line touches the y axis. The slope is determined by calculating the rise divided by run.

f ( x ) = 2 ( x − 5 ) − ( 3 x + 1 ) , find f ( − 15 ) ,

Answers

Answer:4

Step-by-step explanation:if you replace each "x" in the equation with the given x (-15) then it should go as such:

2(-15-5)-(3(-15)+1)

Then simplify

2(-20)-(-45+1)

2(-20)-(-44)

-40-(-44)

-40+44

4

What is the slope of the line that passes through
the points (9,-5) and (8,4)?

Answers

It is -9. Rise over run. 9 up, 1 to the left, 9/1 = 9. Because the line goes down to the right, it is negative.

Please put me as the brainiest.

A recipe uses 5 cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made from three quarts? \text{1 gallon}= 1 gallon= \,\,\text{4 quarts} 4 quarts \text{1 quart}= 1 quart= \,\,\text{2 pints} 2 pints \text{1 pint}= 1 pint= \,\,\text{2 cups} 2 cups \text{1 cup}= 1 cup= \,\,\text{8 fluid ounces} 8 fluid ounces Before you try that problem, answer the question below. How many cups will you need to find the number of servings for?

Answers

Answer:

24 servings

Step-by-step explanation:

A recipe uses 5 cups of milk to make 10 servings.

We have to carry out some conversions

We have to convert 5 cups to quarts

1 quart = 2 pints

1 pint = 2 cups

Hence, 2 pints = 4 cups

1 quart = 2 cups

1 cup =0.25 quart

5 cups = x quarts

x = 5 × 0.25

x = 1.25 quarts

Hence

1.25 quarts = 10 servings

3 quarts = x

x = 3 × 10/1.25

x = 24 servings

Write the word sentence into an inequality: “A number is greater than 5.”

Answers

Answer:

5 < x

It's x because we don't know the number

May I have brainliest please? :)

Leroi and Sylvia both put $300 in a savings account. Leroi decides he will put in an additional $60 each week. Sylvia decides to put in an additional 20% of the amount in the account each week. Complete the sentence to answer the question.

Answers

Answer: See explanation

Step-by-step explanation:

Here is the remainder of the question:

a. Who has more money after the first additional deposit? Explain.

b. Who has more money after the second additional deposit?

a. Amount put in savings account = $300

Leroi's amount after first week = $300 + $60 = $360

Sylvia's amount after first week = $300 + (20% × $300) = $300 + (0.2 × $300) = $300 + $60 = $360

They both have equal amount after the first week.

b. After the second deposit,

Leroi's saving = $360 + $60 = $420

Sylvia's saving = $360 + (20% × $360) = $360 + $72 = $432

Sylvia has more savings after the second week

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