The half-life of a substance is the amount of time it takes for half of the amount of substance to decay. The half-life of a pesticide is 2 years. Initially there are 500 grams of pesticide. How much pesticide is left after 10 years? Round to the nearest hundredth.

Answers

Answer 1

Answer:

15.625 grams

Step-by-step explanation:

The decay is First order reaction

The half life of the first order reaction is given by

T(1/2)  = ㏑2/K

where K is the reaction constant for the first order reaction

T(1/2) = 2

2 = ln 2 /K

K = ln2/2

The equation of the first order reaction is given by

Kt = ln ([tex]\frac{Ro}{R}[/tex])

where

t = time = 10years

Ro = initial concentration

R = amount left after time t

upon substituting the values

[tex]\frac{ln2}{2}*10 = ln( \frac{500}{R})[/tex]

5ln2 = ln (500/R)

ln [tex]2^5[/tex] = ln (500/R)          (a*lnb = ln[tex]b^a[/tex])

[tex]2^5 = 500/R[/tex]

R = 500/32  = 15.625grams

Therefore the amount of pesticide left after 10 years is 15.625grams


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so a relation cannot have more than one output

Answer:

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Answer:

Symbol

Words

Example

>

greater than

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<

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The jacks and balls have to be spilt among 6 people . Use the distributive property to pull the number 6 out of the expression

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Answer: (24 + 60) = (6 × 4 + 6 × 10) = 6 × (4 + 10)

describe this number line and the numbers and fractions shown.​

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Answer:

Every real number other than zero is either positive or negative. The non-negative whole numbers are referred to as natural numbers (i.e., 0, 1, 2, 3...), while the positive and negative whole numbers (together with zero) are referred to as integers. (Some definitions of the natural numbers exclude zero.)

Step-by-step explanation:

Answer:

Sample Response: The number line shows -2 through 2, divided into fourths, with zero in the middle. The numbers increase as you move right and decrease as you move left.

                                                                    Plz mark brainlest

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Which correctly describes how the graph of the inequality -5x+3y>9

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What’s are the answer choices??

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Step-by-step explanation:

if 2/3 = x/12, what us the value of x ?​

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Step-by-step explanation:

PLEASEEEEE HELP ME
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yes, asa
no not enough info
yes, sas

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Answer:

a) Yes, HL

Step-by-step explanation:

[tex]We\ know\ that:\\Both\ triangles\ are\ right\ triangles. (90\ degree)\\They\ share\ a\ common\ side.\\They\ have\ their\ hypotenuses\ corresponding.\\Hence,\\Through\ HL(If\ the\ hypotenuse\ and\ any\ leg\ of\ the\ triangles\ are\ corresponding,[/tex][tex]then,\ the\ two\ triangles\ are\ congruent.)[/tex]

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3x + 5 = 2x + 7 What should you do first to isolate the variable?

Answers

Answer:

you can subtract 2x from both sides

Then subtract 5 from both sides.

x = 2 is what the equation gives you

Step-by-step explanation:

You can do one of two things.

1. You can subtract 2x from both sides of the equation

or

2. You can subtract 5 from both sides of the equation.

Either one will give you the correct answer.

3x - 2x + 5 = 2x - 2x + 7    Combine the xs

1x + 5 = 7                             Subtract 5 from both sides.

x + 5-5 = 7-5

x = 2

Answer:

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Step-by-step explanation:

3x+5=2x+7

1x+5=7

add the 5 to the 7

12

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How would you solve 5x+9=x-23

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Step-by-step explanation:

5x+9=x-23

5x-x=-23-9

4x=-32

4x/4=-32/4

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Answer:

x=-8

Step-by-step explanation:

5x+9=x-23

Add 23 on both sides

23 cancels on right side of the equation

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The second table because all of the Y axis are different

(x - 4)(2x - 1)(3x - 2) = 0


What is the product of all values of x that satisfy the equation above?

Answers

Answer:

Step-by-step explanation:

If any individual factor on the left side of the equation is equal to  

0

, the entire expression will be equal to  

0

.

2

x

1

=

0

3

x

+

2

=

0

Set the first factor equal to  

0

and solve.

Tap for more steps...

x

=

1

2

Set the next factor equal to  

0

and solve.

Tap for more steps...

x

=

2

3

The final solution is all the values that make  

(

2

x

1

)

(

3

x

+

2

)

=

0

true.

x

=

1

2

,

2

3

The result can be shown in multiple forms.

Exact Form:

x

=

1

2

,

2

3

Decimal Form:

x

=

0.5

,

0.

¯

6

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What is algebraic expression?

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4/3

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Bejeweled w whenever w wnekfkdkkwmwn ddndkkelenen

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Step-by-step explanation:

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The answer to this question is x=6

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n 0
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Answer:

N is a negative number, and since you did not provide a clear first option, I will assume the answer is none of the above. However, the accurate answer is n < 0.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

I hope this helps!

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Step-by-step explanation:

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Alana is purchasing a $160,000 home and her bank is offering her a 30-year

mortgage at a 4.9% interest rate. In order to lower her monthly payment,

Alana will make a 20% down payment and is considering a purchase of 3

points. How much lower will her monthly payment be if she purchases the

points?

Answers

Answer:

The amount by which her monthly payment will be lower if she purchases the points is $57.12.

Step-by-step explanation:

Since Alana will make a 20% down payment, the mortgage loan balance can be calculated as follows:

Mortgage loan balance = Mortgage amount – Down payment = $160,000 – ($160,000 * 20%) = $160,000 - $32,000 = $128,000

The amount by which her monthly payment will be lower if she purchases the points can now be calculated using the following steps:

Step 1: Calculation of monthly payment without purchasing 3 points

The monthly payment can be calculated using the formula for calculating loan amortization as follows:

P = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (1)

Where,

P = monthly payment without purchasing 3 points = ?

A = Mortgage loan balance = $128,000

r = monthly interest rate = 4.9% / 12 = 0.049 / 12 = 0.00408333333333333

n = number of payment months = 30 years * 12 months = 360

Substituting all the figures into equation (1), we have:

P = ($128,000 * (0.00408333333333333 * (1 + 0.00408333333333333)^360)) / (((1 + 0.00408333333333333)^360) - 1)

P = $679.33

Step 2: Calculation of monthly payment if she purchases 3 points

Typically, each points purchased reduces the interest rate by 0.25%. Since Alana is considering a purchase of 3 points, her new interest rate can then be calculated as follows:

New interest rate = 4.9% - (0.25% * 3) = 4.9% - 0.75% = 4.15%

The monthly payment can also be calculated using the formula for calculating loan amortization as follows:

P3 = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (2)

Where,

P3 = monthly payment if 3 points is purchased = ?

A = Mortgage loan balance = $128,000

r = new monthly interest rate = 4.15% / 12 = 0.0415 / 12 = 0.00345833333333333

n = number of payment months = 30 years * 12 months = 360

Substituting all the figures into equation (2), we have:

P3 = ($128,000 * (0.00345833333333333 * (1 + 0.00345833333333333)^360)) / (((1 + 0.00345833333333333)^360) - 1)

P3 = $622.21

Step 3: Calculation of the amount by which her monthly payment will be lower if she purchases the points

This can be calculated as follows:

Amount of reduction = P - P3 = $679.33 - $622.21 = $57.12

Therefore, the amount by which her monthly payment will be lower if she purchases the points is $57.12.

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Step-by-step explanation:

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- •Trix•

( Yes I know my - •Trix• thingy is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

Answer: it B

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Step-by-step explanation:

one second 12345678910

If you are in a store and there is a discount sale u buy something and the original price was $45 and the discounted price was $18 what was the discount?

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Answer:

Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our ... Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, ... There is a sale for 20% off on a sweater your grandma wants to buy you for ... the store and gets an additional 25% discount off the already discounted sale price.

(:

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40% off. 40% of 45 is 18

Step-by-step explanation:

Question to
Questions of 8 Page 3
Lights on the Lake charges $10 per car plus $2 for every person in the car. If the
total charge is represented by T, and the number of people in the car is represented
Write an equation for the cost of each car .

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T=10c+2p

Step-by-step explanation:

Select all of the equations that passes through (5,2) and (0,18)??

25 points

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A

E

F

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Given: angle 1= angle 2
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A.5
B.15
C.10​

Answers

Answer:

AD=5

Step-by-step explanation:

We are given that

AB=10, AC=6 BC=6

We have to find the value of AD.

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BD=AB-AD

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Credits to: lublana

 

Step-by-step explanation

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