A quantity with an initial value of 590 decays continuously at a rate of 55% per year. What is the value of the quantity after 21 months, to the nearest hundredth?

Answers

Answer 1

Answer:

22.13

Step-by-step explanation:

Given that :

Initial quantity = 590

Decay rate = 55% per year

Value of the quantity after 21 months to the nearest hundredth

If decât rate per year = 55%

Monthly rate of Decay = 55% / 12 = 0.0458333

Hence, quantity after 21 months :

Initial amount - (Initial amount * 21(monthly Decay rate))

590 - (590 * 21(0.0458333))

590 - 567.874587

= 22.125413

= 22.13 (nearest hundredth)

Answer 2

Answer:

\approx 225.34

≈225.34

Step-by-step explanation:


Related Questions

Select 2 ratios that are equivalent to 4:18

Thanks so much for helping!!

Answers

Answer: what are the choices?

Step-by-step explanation:

2:9 18:4

because the answer is to short im gonna put a few letters ddjduirehfeihfehijfjrejkfe

What is $82.51 minus $1?

Answers

Answer:

$82.50

Step-by-step explanation:

just subtract 1- 1 = 0

so 82.50

Answer:

$81.51

Step-by-step explanation:

$82.51 - $1 = $81.51

I hope this helps!

what is the slope of the line in this graph?

answers:
a. 5/9
b. 5/7
c. 7:5
d. 9/7

Answers

Answer:

b: 5/7

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

You got to find 2 points that you want and use the formula y1-y2 and x1=x2 and you find your slope.

a chef used 1/4 of a bag of potatoes to make 1/9 of a gallon of stew. if he wanted to make a full gallon of stew how many bags of potatoes would he need?

Answers

Answer:

2 1/4 Bags of potatoes

Step-by-step explanation:

1/4 = 1/9

8/4 = 2 = 8/9

9/4 = 2 1/4 = 9/9

Please mark me brainliest

I really need some help with this

Answers

Answer:

how you suppose to do dis?

Step-by-step explanation:

i don't understand?

Shii I have know idea what the answer but good luck I guess

find the slope of the line (7, 5) and (3, -4) on it.

Answers

Answer:

9/4

Step-by-step explanation:

9/4

Hope this helps

Guess the car
Hint**uncommon**

Answers

Honda :) BSJSIISISISS BAHAHAA

Answer:

It's a 1954 Arnolt Bristol Bolide

Step-by-step explanation:

Determine the probability that a randomly selected marshmallow will be rainbow shaped?

Answers

Step-by-step explanation:

impossible event or a probablity of 0

Answer:

0.20

Step-by-step explanation:

add them all up figure out how much is left till you get to 1.00

You are told that a third powered polynomial has zeroes at -1, 2, 5.
Part A. Write the three factors of the polynomial

Part B. Write the polynomial in standard form

Answers

Answer:

a) factors of polynomial are: (x+1)(x-2)(x-5)

b) the required polynomial in standard form is: [tex]\mathbf{x^3-6x^2+3x+10}[/tex]

Step-by-step explanation:

The polynomial has zeros at -1,2,5

Part A) Write the three factors of the polynomial

we have x=-1, x=2 and x=5 as zeros of polynomial

so factors will be:

(x+1)=0, (x-2)=0, (x-5)=0

So, factors of polynomial are: (x+1)(x-2)(x-5)

Part B) Write the polynomial in standard form

For finding polynomial, we will multiply all the factors i.e

(x+1)(x-2)(x-5)

[tex](x+1)(x-2)(x-5)\\=(x(x-2)+1(x-2))(x-5)\\=(x^2-2x+x-2)(x-5)\\=(x^2-x-2)(x-5)\\=x(x^2-x-2)-5(x^2-x-2)\\=x^3-x^2-2x-5x^2+5x+10\\=x^3-x^2-5x^2+5x-2x+10\\=x^3-6x^2+3x+10[/tex]

So, the required polynomial in standard form is: [tex]x^3-6x^2+3x+10[/tex]

what is the ratio 4:6​

Answers

Answer:

do you mean in simplest form

if so then it is 2:3

if not then 6

Step-by-step explanation:

A team of storm enthusiasts collected data to show the relationship between the time between seeing lightning and then hearing thunder, and how far away you are from the lightning. The results are in the graph below.

What is the constant of proportionality expressed as miles per second?
Answer: The constant of proportionality is _____________miles per second.

Answers

Answer:

Proportionality constant = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

From the graph attached,

Data set representing the relation between seeing lightning and the hearing thunder is,

{(15, 3), (25, 5), (35, 7), (45, 9)}

Since, Distance from lightening (d) ∝ Time between lightening and thunder (t)

d = kt

Here k = proportionality constant

k = [tex]\frac{d}{t}[/tex]

From the data set one point is (15, 3).

k = [tex]\frac{3}{15}[/tex]

k = [tex]\frac{1}{5}[/tex] miles per second

Therefore, proportionality constant is [tex]\frac{1}{5}[/tex] miles per second.

Ava is making punch for the entire class. She mixed 3 gallons of lemonade with every 7 gallons of Hawaiian Fruit Punch to make the perfect mix. Which of the following ratios of lemonade to fruit punch could also be used to Ava's delicious punch

Answers

Answer:

3:7

Step-by-step explanation:

3 parts of lemonade to 7 parts punch

3:7
3 parts of lemonade to 7 parts of punch

28 is what percent of 507

Answers

Answer:

5.52%

Step-by-step explanation:

Answer:

5.5226824458%

Step-by-step explanation:

HELLLP ASAP

1. Five boxes of crackers cost $9. At this rate, how much do 20 boxes cost?


A. $36

B. $20

C. $40

D. $11.20

2. It takes Dan 32 minutes to complete 2 pages of math homework. At this rate, how many pages does he complete in 200 minutes?


A. 64 pages

B. 15 pages

C. 10 pages

D. 12.5 pages

Answers

Answer:

1. 20 boxes cost $36. The unit rate is 1:1.8 and when you multiply 1.8 by 5 you get 9. If you also multiply 1.8 by 20 you get 36.

2.He completes 12.5 pages in 200 minutes.

200 divided by 32

multiply that answer by 2

which is 12.5.

hope it helps!

Answer:

the first answer is $36 and I'm pretty sure the second one is 64 pages

plz tell formula of Cotθ plz fully explain

Answers

Answer:

1. cos(2π + θ) = cosθ

2. tan(2π + θ) = tanθ, cot(2π + θ) = cotθ.

explanation:

cot(2π + θ) = cotθ. The Trigonometric ratios of angle 2π - θ: Thinking of θ as an acute angle, 2π -θ ends in the 4th Quadrant where only cosine is positive. 2π -θ means going 1 full turn from A to A and then returning to the M' that means as much as θ.

Answer: cos(2π + θ) = cosθ, tan(2π + θ) = tanθ, cot(2π + θ) = cotθ.

PLZ HURRY I NEED HELP
Which pair of events are independent of each other?
A.
selecting an ace from a deck of cards, and then drawing another ace without replacing the first
B.
drawing a red paperclip from a bag of paperclips, and then drawing another red paperclip without replacing the first
C.
drawing a ball from a bag, and then drawing another ball without replacing the first
D.
getting an even number on the first and second roll of the die
PLZ EXPLAIN

Answers

Answer:

D

Step-by-step explanation:

Rolling a die and getting a certain number will not change the chances of you getting the same number a second time. A normal die will always have a 1/2 chance of rolling an even number. However, the other answer choices will make the likelihood of getting the same type of event again slimmer as you remove one of the objects from being chosen again. An example for the first option would be drawing an ace from a deck of 52 cards where you only have 4 aces, so the chance on the first draw would have been 4/52 or a 7.7% chance while the next draw will be a 3/51 or 5.9% chance.

x-y-8x-9y can you solve this with also explain

Answers

Answer:

- 7x - 10y

Step-by-step explanation:

You add the “like” terms.

x - y - 8x - 9y

x - 8x  And - y - 9y

-7x - 10y

Answer:

-7x-10y

Step-by-step explanation:

1. Combine like terms

= x+−y+−8x+−9y

= (x+−8x)+(−y+−9y)

= −7x+−10y

Explain what the vertical intercept represents in this situation.

Answers

Answer:

In the equation y = mx + c the value of m is called the slope, (or gradient), of the line. It can be positive, negative or zero. The value of c is called the vertical intercept of the line. It is the value of y when x = 0. When drawing a line, c gives the position where the line cuts the vertical axis.

Step-by-step explanation:

hope that helps!!!!!!

A group of dogs at the animal shelter equally share 3 bags of dog food. Each bag contains 12 pounds of dog food. Choose True or False for each statement. The word "group" suggests multiplication. Choose... The words "share" and "equally" suggest division. Choose... The words "each bag" suggest multiplication. Choose... The word "contains" suggests division. Choose...

Answers

Step-by-step explanation:

given data

we are told that there are 3 bags of  dog food

each bag contains 12 pounds

the total pound is =12*3=36 pounds

Choose True or False for each statement.

The word "group" suggests multiplication.  FALSE (A group suggest addtion)

The words "share" and "equally" suggest division. TRUE

The words "each bag" suggest multiplication. TRUE

The word "contains" suggests division. FALSE

Answer:

87

Step-by-step explanation:

please help me with this problem

Answers

The answer is that she spends 50% of her budget it rent

Answer:

A. She spends 50% of her money on rent.

At work, greg makes $14 for every hour that he works. Write a function to represent how many dollars, D, greg has entered from working, then calculate how much money he made after working 5 hours

Answers

Answer:

[tex]D(h) = 14 h[/tex]

He made $70 in 5 hours

Step-by-step explanation:

Given

[tex]Hourly\ Rate = \$14[/tex]

Required

Determine a function to represent the amount he made

Determine the amount made in 5 hours

To determine the function (D), we simply multiply the hourly rate by the number of hours worked (h).

So, we have:

[tex]D = Hourly\ Rate * h[/tex]

[tex]D = 14 * h[/tex]

[tex]D = 14 h[/tex]

Represent D as a function

[tex]D(h) = 14 h[/tex]

Solving (b): Amount in 5 hours

We have that

[tex]D(h) = 14 h[/tex]

In this case:

[tex]h = 5[/tex]

So, we have:

[tex]D(5) = 14 * 5[/tex]

[tex]D(5) = 70[/tex]

Hence, he made $70 in 5 hours

How many Jamaican dollars are equivalent to US$85, if US$1 = JA$72.50

Answers

Answer:

6,162.50 JA

Step-by-step explanation:

Is this true?

72.50x80= 6,162.50 JA

Three pipes A, B and C take 24, 36 and 32 hours to fill a pool, respectively. How long would it take the three pipes to fill the pool if pipe B is turned on 3 hours after pipe A and pipe C is turned on 1 hour after pipe B?

Answers

Answer:

12 hours

Step-by-step explanation:

Time taken by pipe A = 24 hours

Time taken by pipe B = 36 hours

Time taken by pipe C = 32 hours

To find:

How long would it take the three pipes to fill the pool if pipe B is turned on 3 hours after pipe A and pipe C is turned on 1 hour after pipe B?

Solution:

First of all, let us assume the total capacity of the pool.

Let us take LCM of 24, 36 and 32.

LCM of 24, 36 and 32 = 288

Let the total capacity of the pool = 288 units

Total units filled by pipe A in one hour = [tex]\frac{288}{24} = 12\ units[/tex]

Total units filled by pipe B in one hour = [tex]\frac{288}{36} = 8\ units[/tex]

Total units filled by pipe C in one hour = [tex]\frac{288}{32} = 9\ units[/tex]

Now, for the first 3 hours, only pipe A operates, so units filled in first three hours = [tex]12\times 3 =36\ units[/tex]

For the next one hour, A and B both operate together, so units filled in the next 1 hour = 12 + 8 = 20 units

Total number of units filled in 4 hours = 36 + 20 = 56 units

Units to be filled to completely fill the pool = 288 - 56 = 232 units

Now, after the 4th hours, all the pipes operate together.

So, number of units filled in each hour = 12 + 8 + 9 = 29 units

Time taken to fill 232 units = [tex]\frac{232}{29} = 8\ hours[/tex]

Total time taken = 4 + 8 = 12 hours

6th grade math i mark as brainliest​

Answers

Answer: 29

Step-by-step explanation: Pic is Attached. Hope this helps.

11)
If y varies directly as and y= 10 when x = 2, then what is the value of y when x = 4?
A)
2.5
B)
20
C)
40
D)
80


Answers

B.) 20
If x goes from 2 to 4 it was multiplied by 2. you would do the same to the y. 10*2=20

Answer:

B)20

Step-by-step explanation:

y=10 when x=2 and varies directly so y=5*x

when x=4 then y=5*x=5*4=20

Based on the diagram to the right,what will happen to the motion of the box?Select two that apply.
(Choose 2)
1.The box will move to the West.
2.The box will move to the East.
3.The box will remain at rest.
4.The velocity of the box will change.

Answers

The box should move east

please any help? anybody ​

Answers

Answer:

-13

Division

Step-by-step explanation:

divide both sides by -17 in order to find the value of x

What is 51% of 200 in steps?

Answers

Answer:

51% of 200 =

102

Step-by-step explanation:

51           x     200  =  10200

100                  1  =      100       10200/100 = 102

percentages is out of 100

Another way:

51/100 is .51 so just multiply it by 200!

.51 x 200 = 102

Hope this helps you out! :)

Answer:

102 Steps

Step-by-step explanation:

How you get 51% of 200 is by multiplying 51 by 200 then dividing the value of 51 times 200 by 100.

51 ⋅ 200 = 10200 ÷ 100 = 102 Steps

So, 51% of 200 equals 102 Steps

Hope this helps! <3

6-2x=6x-10x+14 what is the value of x

Answers

6 - 2x = 6x - 10x + 14
-2x - 6x + 10x = 14 - 6
2x = 8
x = 4
X=4
Subtract six from both sides
Add 10x to both sides
Then you have 8x=6x+8
Then subtract 6x on both sides
And you have 2x equals 8
Divide both sides by 2 and you get
X=4

NEd bought 2 plates at a store if each plate cost $1.90 and he paid with a twenty dollar bill how much change should he get back

Answers

Answer:

he should get $16.20 back

Step-by-step explanation:

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