A radioactive substance decays at a rate of 25% every 10 years. Which equation represents the amount of the substance (S) remaining from 100 grams after 300 years?

Answers

Answer 1

Answer:

[tex]y = 100 * (0.75)^{30[/tex]

Step-by-step explanation:

Given

[tex]a =100[/tex] --- Initial Amount

[tex]r= 25\%[/tex] every 10 years

Required

The remaining amount after 300 years

To do this, we make use of:

[tex]y = a(1 - r)^T[/tex]

Where

r = decay rate

T = the period of decay

In 300 years, there are 30 periods of 10 years.

i.e.

[tex]T = \frac{300}{10}[/tex]

[tex]T = 30[/tex]

[tex]y = a(1 - r)^T[/tex]

[tex]y = 100 * (1 - 25\%)^{30[/tex]

[tex]y = 100 * (1 - 0.25)^{30[/tex]

[tex]y = 100 * (0.75)^{30[/tex]


Related Questions

equation - 2(x-2) + 3 (4x-1)=0​

Answers

Answer:

2(x-2) + 3 (4x-1) = 0​

x = 1/2

Jay is paid $12.50 per hour. Last week, his paycheck totaled $112.50. How many hours did he work? Write and solve an equation to represent the situation.

Answers

Answer:

9 hours

Step-by-step explanation:

If he earns 12.50 an hour...

112.50 ÷ 12.50 = 9 hours

Answer:

9 hours

Step-by-step explanation:

112.50 ÷ 12.50 = 9 or 9 hours

Given that 6 > -2, which statements are true? Check all that apply.
(2)(6) > (-2)(2)
-2
2 2
(-2)(6) > (-2)(-2)
-2
-2 --2
(2)(6) < (-2)(2)
-2
2 2
NIO

Answers

Answer:

hello rspl social science sample paper chaye

Answer:

i don't know

Step-by-step explanation:

Students were asked how they travel to school. The graph shows the results of the survey. Based on the graph, how many students out of 300 students can be expected to walk or bike to school?

Answers

Answer:

we need the graph in order to find the answer.

Step-by-step explanation:

help asap ill mark brainliest

Answers

The answer is D!!!!!!
Answer
I’m pretty sure it’s D

philip has 11 coins that equal a total of 82 cents. His coins include at least 1 quarter 1 dime 1 nickel and 1 penny. how many of each coin does he have

Answers

Answer:

Philip has 1 Quarter, 3 Dimes, 5 Nickels, and 2 Pennys.

Step-by-step explanation:

Given that Philip has 11 coins that equal a total of 82 cents, and his coins include at least 1 quarter 1 dime 1 nickel and 1 penny, to determine how many of each coin does he have the following calculation must be performed:

Quarter = 0.25

Dime = 0.10

Nickel = 0.05

Penny = 0.01

0.82 - 0.25 - 0.10 - 0.05 - 0.01 = 0.41

0.41 = 0.10 x 4 + 0.1 (5 coins + 4 previous coins = 9 coins).

0.41 = 0.10 x 2 + 0.05 x 4 + 0.01 (7 coins + 4 previous coins = 11 coins).

0.25 + (3 x 0.1) + (5 x 0.05) + (2 x 0.01) = X

0.25 + 0.30 + 0.25 + 0.02 = X

0.82 = X

Thus, Philip has 1 Quarter, 3 Dimes, 5 Nickels, and 2 Pennys.

Over what interval is the function in this graph increasing?

Answers

Answer:

the function is increasing on (-4, 1)

Step-by-step explanation:

First the graph descends (drops), until it reaches x = -4.  Then the graph rises, until x = 1.  Thus, we say "the function is increasing on (-4, 1)."

the crystal clear window washing company washed 1/5 of a high-rise building's window on monday, 1/4 on tuesday, and 3/8 on wednesday.
what percentage of the buildings windows were not washed after three days?

Answers

Answer:

the correct answer is 17.5%

Step-by-step explanation:

write a polynomial for the volume of a cube with a side length of (x-1) inches.​

Answers

Answer:

[tex]x^3-3x^2+3x-1[/tex]

Step-by-step explanation:

the volume of a cube is the side length cubed, which in this case is [tex](x-1)^3[/tex], which simplifies to [tex]\boxed{x^3-3x^2+3x-1}[/tex].

Hello, can someone please assist me with this question?

Answers

Answer:

9

Step-by-step explanation:

Hey There!

If you didnt know the given angles in the triangle added together equal the missing triangles supplement aka z+50

So all we have to do is set up an equation

z+50=30+6x-45

step 1 combine like terms

30-45=-15

now we have

z+30=6x-15

step 2 add 15 to each side

-15+15 cancels out

30=15=45

now we have

z+45=6z

step 3 subtract z from each side

z-z cancels out

6z-z=5z

now we have

45=5z

step 4 divide each side by 5

5/5 cancels out

45/5=9

z=5

so we can conclude that z=9

hope this helps :)

11. What is the area of a rectangle whose length (2x+5) cm and width (x-1) cm?
c. 2x2 - 3x + 5 cm?
d. 2x² + 3x - 5 cm?
a 2x2 + 3x + 5 cm?
b. 2x? - 3x - 5 cm?
12. If the area of a square is (2x - 3)- sq. units, then the measure of one side
is:
a. 2x -3 units
C. 3x - 2 units
b. 3x units
d. 2x units
13. The product of two numbers is (4y2 -1). If one of the numbers is (2y + 1).
what is the other number?
a. (2y + 1) b. (2y - 1)
C. (4y + 1)
d. (4y - 1)
14. Which special product is represented by: (5a? - 7b)??
a. Product of Two Binomials
c. Cube of a Binomial
b. Square of a Binomial
d. Product of a Binomial and a Trinomial​

Answers

Answer:

[tex]A=2x^2+3x-5[/tex]

Step-by-step explanation:

Given that,

Length = (2x+5) cm

Width = (x-1) cm

We need to find the area of a rectangle. The formula for the area of rectangle is given by :

A = lb

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

So, the required area is equal to [tex]2x^2+3x-5[/tex].

Given the function f(x) = 2 x + 61 - 4, for what values of x is f(x) = 6?

O x= -1, x = 11

Ox=-1, x = -11

O x= 14 = -26

O x= 26, x=-14

Answers

Answer:

[tex]x = -1[/tex] or [tex]x = -11[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2|x+6| - 4[/tex]

Required

Find x when

[tex]f(x) = 6[/tex]

Substitute 6 for f(x)

[tex]6 = 2|x+6| - 4[/tex]

Add 4 to both sides

[tex]4+6 = 2|x+6| - 4+4[/tex]

[tex]10 = 2|x+6|[/tex]

Divide both sides by 2

[tex]5 = |x + 6|[/tex]

Rewrite as:

[tex]|x + 6| = 5[/tex]

This can be split to:

[tex]x + 6 = 5[/tex] or [tex]-(x + 6)=5[/tex]

Solve for x in both cases

[tex]x = 5 - 6[/tex] or [tex]x + 6 = -5[/tex]

[tex]x = -1[/tex] or [tex]x = -6 - 5[/tex]

[tex]x = -1[/tex] or [tex]x = -11[/tex]

Answer:

i think it’s x= -1, x = -11

Step-by-step explanation:


4. Jayda found 5 seashells on the beach. Ruby
found twice as many as Jayda. How many
shells did they find together?

Answers

Answer:

They found 15 shells together :)

brainliest pls :D

Step-by-step explanation:

5+(5*2)=15

Answer:

15

Step-by-step explanation:

Jayda has 5

Ruby has twice as much as that which means she has 5(2)

Ruby has ten

Combine

15

:)

How do I solve 1/2z=9 1/4?

Answers

Answer:

z = 9/2

Step-by-step explanation:

1/2z = 9 1/4?

z = 9/2

Explanation:

Simplify

9 x 1/4 → 9/4

Multiply 2 to both sides to cancel out the 2

1z = 9/4

Note: 1z is just z

A water tank initially contained 114 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute. How many liters of water are in the tank after 4 minutes? Round answers to the nearest whole liter.​

Answers

Answer:

Step-by-step explanation:

f(t)=9t+114

f(4)=9(4)+114

f(4)=36+114

f(4)=150L

I am pretty sure that answer is 100

A fund-raiser at the school raises $617.50. They sent $580.45 to local charities. What percent of the money went to charities?

Answers

Answer:

94% of the money went to charities.

What are the domain and range of f(x) = 2|x – 4| + 3 ?

Answers

☁️ Answer ☁️

I think it's the second one.

Hope it helps.

Have a nice day hyung/noona!~  ̄▽ ̄❤️

*WILL GIVE BRAINLIEST*

The sum of the areas of all the faces of a 3D object is called:

A: area
B: surface area
C: volume
D: perimeter

Answers

Answer:

b

Step-by-step explanation:

Answer:

Surface area

Step-by-step explanation:

Area is the space taken up by one surface plane

Volume is the amount of space taken up by the entire object

Perimeter is the length of all the edges of the shape combined

A pair of jeans is marked up 20% on the original price. The original price was $50. What is the sale price of the pair of jeans before sales tax?

Answers

Answer:

20% of $50 is $10. This means that the pair of jeans now cost $60 since it got marked up.

Step-by-step explanation:

Use a table to find (h-8)(h-9).

Answers

Well, I don’t see a table but your answer:

h^2-17x+72

Just use FOIL

Round to the nearest hundredth:7.884

Answers

Answer:

7.88

Step-by-step explanation:

Hope this helps :D

When rounding to the nearest hundredth, the number 7.884 becomes 7.88.

To round 7.884 to the nearest hundredth, we look at the digit in the thousandth place, which is 8.

Now, If the digit to the right is less than 5, you simply drop all the digits to the right and keep the desired decimal place unchanged.

If the digit to the right is 5 or greater, you round up the desired decimal place by increasing it by one. Drop all the digits to the right.

Since 8 is greater than or equal to 5, we round up the digit in the hundredth place.

Therefore, when rounding to the nearest hundredth, the number 7.884 becomes 7.88.

Learn more about Rounding off here:

https://brainly.com/question/13391706

#SPJ6

what's
[tex] \sqrt{33 + 9 - 6} [/tex]

Answers

Okay solve what’s inside the root...

33+9-6 = 36

You would be left with root 36 but if you calculate the square root you’d get 6 because...

6•6 = 36


^ So, your answer is just 6

Answer:

answer is '6'

Step-by-step explanation:

understand friend

75% of what number is 12

Answers

Answer:

16

Step-by-step explanation:

Urgent, pls help me!!!​

Answers

Answer:

Radius: 2

Center: (-3, 1)


Help!!!! I WILL GIVE BRAINLIEST !!!!

Answers

I think it’s c sorry if I’m wrong

the sum of two positive numbers is 16 and their difference is 2 . the larger number is?​

Answers

Answer:

9

Step-by-step explanation:

7 + 9 = 16

9 - 7 = 2

The larger number is 9

Hope that helps!

Answer: [tex]9[/tex]

Step-by-step Explanation: [tex]9+7=16[/tex] and [tex]9-7=2[/tex] and [tex]9[/tex] is bigger so the answer is [tex]9[/tex].

Please help me with the question please ASAP ASAP

Answers

156

Especially since the shape is convex


Answer:

2340

Step-by-step explanation:

Since, the formula for finding sum of interior angles of a polygon is :

(n-2) × 180° [Where 'n' denotes number of sides]

Hence,

Sum of interior angles of a pentadecagon is ,

(15 - 2) × 180°

= 13 × 180°

= 2340°(Ans)

A rocket is the form of a circular cylinder closed at the lower end with a cone of the same radius attached to the top . The cylinder is of radius 2.5m and height 21m and the cone has the slant height 8m . Calculate the total surface area and the volume of the rocket

Answers

Answer:

V=462.076m ^3

Step-by-step explanation:

please help me I messed up the first time​

Answers

Answer:

I guess it's 8

Step-by-step explanation:

Nick bought a video game for $55, which has 20% off the original price. What
was the original price?

Answers

Answer:

I think it is $66 at first sorry if wrong

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