A quantity with an initial value of 390 decays exponentially at a rate of 8.5% every 9 weeks. What is the value of the quantity after 42 days, to the nearest hundredth?

Answers

Answer 1

Answer:

Step-by-step explanation:

The initial value = 390

It decayed at an exponential rate of 8.5% for 9weeks which is also 63days

Decay exponential rate after 42days will be:

8.5% = 63days

x% = 42days

8.5% ×42days = 63days×x%

357 = 63x

x = 357/63

x = 5.666%

Hence after 42days it would have decayed by 5.666% of it initial value.

That is 5.666% of 390

5.666/100 × 390

0.056×390

= 22.0974

To the nearest hundredth 22.10

Hence the value left will be 390-22.0974

= 367.9026

To the nearest hundredth 367.90

Answer 2

Answer:

The answer is 367.57


Related Questions

25 POINTS AND BRAINLIEST!! Clay wants to ride a Ferris wheel that has a radius of 80 feet and is suspended 9 feet above the ground. The wheel makes 6 revolutions in one minute. Find the period and amplitude.

Answers

Answer:

Step-by-step explanation:

Linear velocity and angular velocity are related by the formula:

v = ωr

ω = n2πr/t, where n is the number of rotations, t is the time taken, r is the radius.

ω = 2 x 2π x 25/1

ω = 100π

v = 100π x 25

= 2500π feet per minute

For a soccer practice, the coach set up four cones, labeled W, X, Y, and Z, to mark the edges of the rectangular field. Suppose the field is drawn on a coordinate plane, where the x- and y-values represent the position, in yards, from the center of the field, which is located at (0, 0). The location of the cones are as follows. Cone W is located at (-38, -53). Cone X is located at (-38, 53). Cone Y is located at (38, 53). Cone Z is located at (38, -53). What is the perimeter of the field? A. 364 yards B. 8,056 yards C. 182 yards D. 38 yards

Answers

Answer:

A. 364 yards

Step-by-step explanation:

The distance between two points  [tex]A(x_1,y_1)\ and\ B(x_2,y_2)[/tex] on the coordinate plane is given as:

[tex]|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The cone W, X, Y and Z form a rectangle.

The perimeter for the rectangle = 2(length +  breadth)

[tex]Length=|WX|=\sqrt{(-38-(-38))^2+(53-(-53))^2}=106 \\\\Breadth=|XY|=\sqrt{(38-(-38))^2+(53-53)^2}=76[/tex]

Perimeter = 2(length + breadth) = 2(106 + 76) = 364 yards

what is 5 1/3 as an improper fraction??

Answers

Answer:

5/3

Step-by-step explanation:

PLS MAKE ME AS BRAINLIST

I really need help with the first one, so I can do the rest of anyone could help I’d be so grateful.

Answers

Answer:

1) a = 1 ; b = 5 ; c = 0

2) a = 1 ; b = 3 ; c = 10

3) a = -5 ; b = -7 ; c = 2

4) a = 1 ; b = 2 ; c = -9

5) a = -7 ; b = 6 ; c = -1

6) a = 4 ; b = -10 ; c = -7

Step-by-step explanation:

a , b & c are just coefficients of the equation

Answer: [tex]x^{2}[/tex] =5x=0  

Step-by-step explanation:

Based on the table,
what is the best
prediction of the
number of clicks on
the advertisement if
1,500 people visit the
website?
F. 7
G. 137
H. 83
J. 105





PLEASE HELP
ILL GIVE YOU BRAINIEST

Answers

H. 83 would be the best prediction because when there was 510 visits there was 32 clicks so u multiply 32 times 3 and get 96 but since it’s 510 visits and not 500, 83 would be the most predictable :)

The linear relation is y = 0.049x + 8.606 then the value of y is 83. Then the correct option is H.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The linear relation is given as

[tex]\rm y - 63 = \dfrac{63-60}{1106-1045} (x - 1106)\\\\y = 0.049x+8.606[/tex]

For x = 1500, then the value of y will be

[tex]\rm y = 0.049\times 1500+8.606\\\\y = 82.37 \approx 83[/tex]

More about the linear system link is given below.

https://brainly.com/question/20379472

Carissa earns $450 per week for a 40 hour work week plus $16.83 per hour for each hour of overtime after 40 hours. Write an equation that would be used to determine her weekly wages where, W, is her wages and, V, is the number of overtime hours worked.

Answers

Answer:

W = 450 + 16.83V

Step-by-step explanation:

For 40 hours Carissa

earning = $450

earning for 1 hour of over time = $16.83

multiplying both side by V

earning for v hour of over time = $16.83*V = $16.83V

weekly wage(W) = earning for 40 hours + earning for V hour of over time

W = 450 + 16.83V

Thus equation will be as given below for weekly earning

What number is 7.2% of 35?

Answers

Answer:

2.52

Step-by-step explanation:

35 x 7.2 = 2.52 :D

Please help me I've been dying for twelve minutes.

Answers

1 goes on the first on -1 goes on the second

- 1/125 goes on the last one and -125 the third one

Which fraction is represented by point A on the number line?​

Answers

-1/4

((20 word minimum dont mind ))

please help me
I don't answer this
I'll give brilliance​

Answers

Answer:

2 oz.

Step-by-step explanation:

2 eggs is 4 oz. of oil so 4/2 =2 oz for 1 egg

2 :) hope this helps

Write an exponential function to model the situation. Then find the value of the function after 5 years to the nearest whole number. A populaton of 330 animals that decreases at an annual rate of 22%.

Answers

Answer:

Results are below.

Step-by-step explanation:

First, we need to establish the decrease function in the given population:

FV= PV/(1+g)^n

FV= future value

PV= present value

g= decrease rate

n= number of periods

Now, for the given information:

PV= 330

g= 22% = 0.22

n= 5 years

FV= 330 / (1.22)^5

FV= 122

Write an equation in point-slope form for the line through the given point with the given slope
(8,-3);m= -1/4

Answers

Answer: y+3= -1/4(x-8)

Step-by-step explanation: so if y-y1=m(x-x1) and y1= -3 and x1=8 and m=(-1/4) u just plug in those number to the equation

Gavin works as a salesperson at an electronics store and sells phones and
phone accessories. Gavin earns a $12 commission for every phone he sells
and a $3.50 commission for every accessory he sells. On a given day, Gavin
made a total of $135 in commission and sold 12 more accessories than
phones. Determine the number of phones sold and the number of accessories
sold.

Answers

Answer: Hence, there are 6 phones and 18 accessories sold.

Since we have given that

Let number of phones sold be 'x'

Let number of accessories sold be 'y'.

Commission for every phone = $12

Commission for every accessory = $3.50

Total commission = $135

And Difference between accessories and phones sold = 12

According to question, we get that

Using both the equations, we get that

x=6 and y = 18

if I have a 40 in a class and get 100% on something thats 40% of my grade. whatsmy new grade PLEASE ANSWER like please please please please answer

Answers

Answer: depends on how your class is weighted, and specifically how many points the thing is, and your point score.

Step-by-step explanation:

i guess 60%? it's too vague

Hmm l can’t figure it out

|-10| divided by 2 x |5|

Answers

Answer:

1

Step-by-step explanation:

|-10| divided by 2 x |5| would equal 1.

Answer:

1

Step-by-step explanation:

The absolute value of -10 is 10. Divide that by what I'm assuming is 2 times the absolute value of 5 (5) is 10. 10 divided by 10 is 0.

Solve for x.And please show me how u got the answer
9
12
4x - 2)
3x + 2

Answers

Answer: -7

Step-by-step explanation:

3x + 2 + 12 = 4x -2 + 9

3x + 14 = 4x + 7

-4x  -14    -4x  -14

-1x = 7

x= -7

2 (x+4) = 2 (x-6) Solve the equation

Answers

Answer: x=16 this is the answer without the 2 in the beginning of the equation with the 2 there's no solution

Step-by-step explanation:

Which statement is true?
Question 9 options:

A)

|–45| = 45 and |–96| = 96.

B)

–|–45| = 45 and –|–96| = –96.

C)

|–45| = 45 and |–96| = –96.

D)

|–45| = –45 and |–96| = –96.

Answers

Answer:

d can be right answer....

A is a right answer (if the number is negative between lines it gone be positive out of em )

Billy has a gift card with a $160 balance. He buys several video games that cost $40 each. After the purchases, his gift card balance is $40. Enter an equation to help find out how many video games Billy bought.

Answers

Answer:

160÷3=40

Step-by-step explanation:

that is the answerrrrrrrrrrrrrrrrrrrrrrrrrrr

What is the area of a quadrilateral with vertices at (1,6),(7,6),(1,12),(7,12)?

Answers

Answer:

Let us consider the quadrilateral ABCD shown below. 

Let us consider the quadrilateral ABCD shown below. 

In the above quadrilateral, A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) are the vertices.

To find area of the quadrilateral ABCD, now we have take the vertices A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) of the quadrilateral ABCD in order (counter clockwise direction) and write them column-wise as shown below. 

Add the diagonal products x1y2, x2y3, x3y4 and x4y1 are shown in the dark arrows.

(x1y2 + x2y3 + x3y4 + x4y1) -----(1)

Add the diagonal products x2y1, x3y2, x4y3 and x1y4 are shown in the dotted arrows.

(x2y1 + x3y2 + x4y3 + x1y4) -----(2)

Subtract (2) from (1) and multiply the difference by 1/2 to get area of the quadrilateral ABCD.

So, area of the quadrilateral ABCD is

=  (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)

- (x2y1 + x3y2 + x4y3 + x1y4)}

Problem :

Find the area of the quadrilateral whose vertices are

(-4, -2), (-3, -5), (3, -2) and (2, 3)

Solution : 

Let A(-4, -2), B(-3, -5), C(3, -2) and (2, 3).

Plot A, B, C and D in a rough diagram and take them in counter-clockwise order.

Then,

(x1, y1)  =  (-4, -2)

(x2, y2)  =  (-3, -5)

(x3, y3)  =  (3, -2)

(x4, y4)  =  (2, 3)

Area of triangle ABC is 

=  (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)

- (x2y1 + x3y2 + x4y3 + x1y4)}

=  (1/2) x  {[20 + 6 + 9 - 4] - [6 - 15 - 4 - 12]}

=  (1/2) x  {[31] - [-25]}

=  (1/2) x  {31 + 25}

=  (1/2) x  56

=  28

So, area of the given quadrilateral is 28 square units.

In the above quadrilateral, A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) are the vertices.

To find area of the quadrilateral ABCD, now we have take the vertices A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) of the quadrilateral ABCD in order (counter clockwise direction) and write them column-wise as shown below. 

Add the diagonal products x1y2, x2y3, x3y4 and x4y1 are shown in the dark arrows.

(x1y2 + x2y3 + x3y4 + x4y1) -----(1)

Add the diagonal products x2y1, x3y2, x4y3 and x1y4 are shown in the dotted arrows.

(x2y1 + x3y2 + x4y3 + x1y4) -----(2)

Subtract (2) from (1) and multiply the difference by 1/2 to get area of the quadrilateral ABCD.

So, area of the quadrilateral ABCD is

=  (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)

- (x2y1 + x3y2 + x4y3 + x1y4)}

Problem :

Find the area of the quadrilateral whose vertices are

(-4, -2), (-3, -5), (3, -2) and (2, 3)

Solution : 

Let A(-4, -2), B(-3, -5), C(3, -2) and (2, 3).

Plot A, B, C and D in a rough diagram and take them in counter-clockwise order.

Then,

(x1, y1)  =  (-4, -2)

(x2, y2)  =  (-3, -5)

(x3, y3)  =  (3, -2)

(x4, y4)  =  (2, 3)

Area of triangle ABC is 

=  (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)

- (x2y1 + x3y2 + x4y3 + x1y4)}

=  (1/2) x  {[20 + 6 + 9 - 4] - [6 - 15 - 4 - 12]}

=  (1/2) x  {[31] - [-25]}

=  (1/2) x  {31 + 25}

=  (1/2) x  56

=  28

So, area of the given quadrilateral is 28 square units.

The area of the given quadrilateral with vertices at (1,6),(7,6),(1,12),(7,12) is 28 square units.

Let the quadrilateral be ABCD.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

We need the area of the quadrilateral whose vertices are;

(-4, -2), (-3, -5), (3, -2) and (2, 3)

Let; A(-4, -2), B(-3, -5), C(3, -2) and (2, 3).

Then, we have;

(x1, y1)  =  (-4, -2)

(x2, y2)  =  (-3, -5)

(x3, y3)  =  (3, -2)

(x4, y4)  =  (2, 3)

Area =  (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)

- (x2y1 + x3y2 + x4y3 + x1y4)}

=  (1/2) x  {[20 + 6 + 9 - 4] - [6 - 15 - 4 - 12]}

=  (1/2) x  {[31] - [-25]}

=  (1/2) x  {31 + 25}

=  (1/2) x  56

=  28

So,

The area of the given quadrilateral with vertices at (1,6),(7,6),(1,12),(7,12) is 28 square units.

Learn more about quadrilaterals here:

https://brainly.com/question/1365755

#SPJ5

Comparing Functions


How much money will Bob in December have if his bank account growth stays at the same rate?


Month Bank-Acc

|

January | $5,000

February $6,700

March $8,400

April $10,100

May $11,800

Answers

He will have 22,900 by December.
in december Bob would have 23,700, the rate is +1,700 every month

a drum has a diameter of 18 in and is 16 in deep find the volume

Answers

Answer:

Volume is approximately 4071.5 in³

Step-by-step explanation:

V= πr²h

V=π(9)²(16)

can someone help me on this​

Answers

Answer:

A. The balloon rises 1 mile every 1/5 minute.

Step-by-step explanation:

1. Height = 1/5Time

2. For every mile risen, it takes 1/5 Minutes.

or if its easier to understand the other way around

For every 1/5 minutes, the balloon rises 1 mile

I hope my answer is correct and that you get a good grade!

Can some one tell me where they go? Please and thank you!!

Answers

Answers:

A. 4 inches = pencil
B. 6 feet = tablecloth
C. 1 meter = person’s leg
D. 5 yards = ladder
E. 6 centimeters = insect
F. 2 millimeters = grain of rice
G. 3 kilometers = foot race

hope this is right :)
can you give brainliest plz

Answer:

The same as the top also thanks for the points and did you get a warning for your last post

Step-by-step explanation:

You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign.

Answers

Answer:

4500

Step-by-step explanation:

10000 x .09 x 5

Find the slope between the following two points: (3, 1), (5, 4).

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

[tex]slope = \frac{4 - 1}{5 - 3} \\ \\ = \frac{3}{2} \\ \\ = 1.5[/tex]

1.5 is the answer to your problem

Name the property that proves these triangles are congruent

Answers

Answer:

SAS or Side-Angle-Side

Step-by-step explanation:

Is the following a function?

Answers

Answer:

yes

Step-by-step explanation:

you can times them all by 3

BRAINLIEST PLEASE

What is the rule for reflecting across the x-axis?​

Answers

Answer:

See below

Step-by-step explanation:

If we want to reflect across x-axis, we'll change the y-coordinate of the        co-ordinate to it's opposite (If it's negative, it will become positive and vice versa) while the x-coordinate will remain the same.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Points (-2, 4) and (-1, 1) lie on the same line. Which of the following equations represents the line

Answers

Answer:

y = -3x - 2

Step-by-step explanation:

Given the coordinates  (-2, 4) and (-1, 1), we are to find the equation of a line passing through the points.

The standard form of the equation is expressed as;

y = mx+c

m is the slope

m = y2-y1/x2-x1

m = 1-4/-1+2

m = -3/1

m = -3

get the y-intercept c;

Substitute m = -3 and any point say (-1,1) into the equation y = mx+c

1 = -3(-1) + c

1 = 3 + c

c = 1-3

c = -2

Get the required equation;

y = mx+c

y = -3x + (-2)

y = -3x - 2

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Which site would be the most reliable source for an essay about bullying in schools today?a personal blog about one persons experiences with bulliesa government website with statistics about bullyingan interview with a neighbor who hasnt been bulliedan encyclopedia entry about bullies from the 1900s Which of the following influences the consumer when he or she is deciding wether to buy a product?A. The stock marketB. Opinion factorsC. External factorsD. Multiple factors Question below!!!!!!!!!!!!! I will will give brainliest to whoever answers correct (Please I need this ASAP ) Find the diagonal of the box using the Pythagorean Theorem.PLS HELP ASAP 50 POINTS PLEASE HELP ASAP PLEASEEE!!!! I NEED HELP ASAP(Image Linked) A group of scientists are studying the microhabitat on the inside of a hollow log. Twice a year, they take samples of the wood and make observations about organisms living in the log. They observe that the types of bacteria and fungi living in the log change over time. The properties of the wood inside of the log also change.Which of the following statements best describes why the types of organisms in the log change over time? A. Some organisms are adapted to live in a wide range of conditions. B. Organisms in the log do not compete for available resources. C. Organisms in the log stabilize the conditions in their environment. D. Different organisms are adapted for different conditions. giving brainliestWho were the Anasazi?A) A group of people living near the Pacific CoastB) An ancient cliff-dwelling tribe from the Southwestern United StatesC) A group of people known for building large structures from earth What is the error in this representation of the steps involved in gene therapy? What is the minimum angular velocity (in rpm) for swinging a bucket of water in a vertical circle without spilling any? The distance from the handle to the bottom of the bucket is 35 cm. 100 points! What can be said about equal opportunities in business for European women?A.There are no opportunities in senior management for women, and there are few opportunities in other areas of business.B.In Europe, the opportunities for women in business have changed little in the last 50 years.C.Women in Europe actually have more business opportunities than men do, especially in senior management positions.D.The situation is improving, but women are still underrepresented in senior management positions. Identify which triangle property of congruence proves the two triangles to be congruent, Pathos appeals to emotions in order to sway an audience, while logos is the use of data, evidence, and logic. Did this speaker rely more on pathos or logos in his/her presentation? Explain which was used more and how effective it was. * Ted talk video: Jia Jiang what I learned from 100 days of rejection If Susan can type 84 words in 4 minutes, is she faster or slower than 28 words per minute? !!PLEASE ANSWER!! what is 0.348 repeating with 48 only repeating as a decimal How many cells could form from one frog egg cell and three hours According to Washington, what is the condition of the army True or False: The Magna Carta influenced English law, which would be an influence in later US law. Company Earnings per Share Market Value per ShareHilton $ 12.00 $ 176.40 SPG 10.00 96.00 Hyatt 7.50 93.75 Accor 50.00 250.00 Compute the price-earnings ratio for each of these four separate companies.Price-Earnings Ratio Company Choose Numerator: Divided by Choose Denominator: Price-Earnings Ratio Price-earnings ratio Hilton SPG Hyatt Accor One of the 200 business majors at a college is to be chosen for the student senate. If 77 of these students are enrolled in a course in accounting, 64 are enrolled in a course in business law, and 92 are not enrolled in either course, how many of the outcomes correspond to the choice of a business major that is enrolled in both? Which of the following is not true with regards to Isabella and Ferdinand