A radioactive substance decays at a continuous rate of 12% per year, and 90 mg of the substance is present in the year 2000. (a) Write a formula for the amount present, A (in mg), t years after 2000. MathPAD Response msnViewer_resp_str_c04q_go_2_006_1_svg ViewEdit (b) How much will be present in the year 2010

Answers

Answer 1

Answer:

A(t) = 90e^0.12t ;

299 mg

Step-by-step explanation:

General Continous growth rate equation :

A = Pe^rt

A = amount present, t years after year of initial amount.

Here,

P = 90 mg, amount in year 2000

r = rate = 12% = 0.12

t = years after 2000

Therefore,

A is written as ;

A(t) = 90e^0.12t

Amount present in year 2010 ;

t = 2010 - 2000 = 10

A(10) = 90e^0.12(10)

A(10) = 90 * e^1.2

= 90 * 3.3201169

= 298.81052

= 299 mg


Related Questions

HELP PLS its advanced pre algebra grade 7

Answers

Answer:

x=4

Step-by-step explanation:

3/4(x+8)=9

simplify

3/4x+6=9

-6 -6

3/4x=3

multiply 4

3x=12

divide 3

x=4

what is 16 to the power of a half

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Answer:

4

Step-by-step explanation:

for what values of a, a polynomial in standard form, equivalent to the product of (x^2+x-1)(x-a), does not contain x^2

Answers

Answer:

a = 1

Step-by-step explanation:

(x²+x-1)(x-1) = x³+x²-x-x²-x+1 = x³-2x+1

Plz help me. But like for real plz

Answers

Answer:

They will pay the same amount!

They will pay the same amount I’ve taken it before and got it right

Whats is the distance between the ferris wheel and the merry-go-round? Ferris wheel on the coordinate plane is (-9,6) and the location of the merry-go-round is (10,6)

Answers

Answer:

19 units

Step-by-step explanation:

use distance formula: d = [tex]\sqrt{(x_2-x_1)^{2}+(y_2+y_1)^{2}}[/tex]

x₂ = 10

x₁ = -1

y₂ = 6

y₁ = 6

now plug in

[tex]\sqrt{(10-(-9))^{2}+(6-6)^{2}}\\= \sqrt{19^{2}+0^{2}\\}\\= \sqrt{361}\\= 19[/tex]

2squared minus 4squared plus 1 plus 7 squared can you find the answer​

Answers

2²-4²+1+7²

we should solve the numbers with exponents :

4-16+1+49 = -12 + 1 + 49 = -11 + 49 = 38

pls give me brainliest

Determine whether each statement is true or false:

a. Adding a multiple of one column of a square matrix to another column changes only the sign of the determinant.
b. Two matrices are column-equivalent when one matrix can be obtained by performing elementary column operations on the other.
c. If one row of a square matrix is a multiple of another row, then the determinant is 0.

Answers

Answer:

a. False

b. True

c. True

Step-by-step explanation:

The statement a is false and the other two statements are true. Adding a multiple of one column not only changes the sign of the determinant but also the variables are changed. When two rows of square matrix are equivalent then the determinant is zero which means when one row is multiple of another row the determinant is zero.

CAN SOMEONE PLEASE HELP ME LABEL THE GRAPH SO I CAN PLOT THE POINTS!!

Answers

Answer:

Era is x and number of wins is y

Edit: I would go up by two's on the y axis and .5 on the x axis

The following list of numbers follows a geometric progression 5.-10. 20.-40.... What are the next three terms in the pattern? A. 60.-80, 100 B. -80.160.-320 C. 80.-160,320 D. -60. 80. -100​

Answers

Answer:

C

Step-by-step explanation:

5.-10.20.-40.80.-160.320

This pattern shows each number being multiplied by -2

que resultado da 24 entre 8​

Answers

Answer:

24÷8=3

Step-by-step explanation:

24 divided by 8 equal 3

If (4 + 2i) – (a + 5i) = 9 – 3i, find the value of a.

Answers

a = -5
(4-a)+(2i-5i)=9-3i
4-a-3i = 9 -3i
4-a = 9
a = -5

PLEASE HELP ME!!!!!!

Answers

Answer:

[tex] \huge \red{ c_3 = - 1}[/tex]

Step-by-step explanation:

[tex]c_1 = 1 \\ \\

c_n= - 2c_{n-1}+5 \\ \\ c_2 = - 2c_{2-1}+5 \\ \\ c_2 = - 2c_{1}+5 \\ \\ c_2 = - 2(1)+5 \\ \\ c_2 = - 2+5 \\ \\ \huge \purple{c_2 =3} \\ \\ c_3 = - 2c_{3-1}+5 \\ \\ c_3 = - 2c_{2}+5 \\ \\ c_3 = - 2(3)+5 \\ \\ c_3= - 6+5 \\ \\ \huge \red{ c_3 = - 1}[/tex]

Please help this is due today!

Calculate the unknown missing angle measures.

Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.

Answers

123-a and b is 55...
123-a and b is 55.Hope this helpsss

3x - y = 2 convert the standard form to slope intercept form (y=mx+b)

Answers

Rearrange the equation to get y = 3x - 2

what is the value of the digit 2 in the number 2348

Answers

Answer:

Two thousands or 2000

Step-by-step explanation:

2 is in the 4th column from the right which is the thousands

Answer:

thousands place

Step-by-step explanation:

Identify all sets to which the number -7 belongs.

Answers

Answer:

Step-by-step explanation:

-7 which set of number belongs, betwen

Natural

Whole

Intergers

Rational

Irrational

Real

oh can u help me i really need help

Answers

I’m pretty sure it b

Answer:

>

Step-by-step explanation:

0.13 is greater than 0.091

Please answer this question for me thank you.

Answers

Answer:

24

Step-by-step explanation:

S is 24. 24 times 5 equals 120. To find the answer, you need to divide the bigger number (120) by the other number (5) and then you will get your answer.

I NEED HELP
Suppose 24 is 2%. What is 100%?*


Answers

Answer:

1200

Step-by-step explanation:

If 24 is 2%, 100% would be 1200 because if you multiply 2 by 50 you get 100% so you multiply 24 by 50 which is 1200

Answer:

20.

Step-by-step explanation:

The strategy here is to see how many times the "percent number" (in this case, 25) goes into 100, and then count by that number until we reach 100-the whole thing. Here, we're told that 25% of a number is 5. So, to find 100% of the number, we count by 25s up to 100: 25, 50, 75, 100. 100% is 20.

Last Wednesday, two friends met up after school to read the book they were both assigned in Literature class. Kylie can read 1 page per minute, and she had already read 81 pages. Adam, who has a reading speed of 2 pages per minute, had read 37 pages. Eventually they had read the same number of pages. How long did that take? How many pages had each of them read?

Answers

Answer:

45 minutes

Step-by-step explanation:

They both have 127 pages after 45 minutes.

1/6 divided by 4 plzzzzz

Answers

Answer:

1/6 x 1/4 2/24= 1/12   Answer 1/12

Step-by-step explanation:

Please mark brainliest

Answer:

1/6

=2/24

=1/2

Step-by-step explanation:

I hope it helps you if it helps you please mark brainliest

Find the unit rate for 405 miles in 8 hours. Rounded to the nearest tenth. Thx

Answers

Answer:  

= 50.6 miles per hour

Showing Work:

This is a fraction equal to

405 miles ÷ 8 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 8

405 miles ÷ 8

8 hours ÷ 8

=  

50.625 miles

1 hour

=  

50.625 miles

hour

= 50.625 miles per hour

rounding to the nearest tenth:

50.6 miles per hour

Find the average rate of change

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Average rate of change is (y2-y1)/(x2-x1)

(2(11)-5-2(8)+5)/(11-8)

6/3

2

However since y =mx+b where m is the slope or rate of change we can see that m=2 without calculating.


A rectangle has an area of 24 square feet and a length of 6 feet. Calculate the perimeter of the rectangle.

Answers

l = 6
24/6 = 4
w = 4
2(4+6) = 20
the perimeter is 20 feet

A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?

Answers

Answer:

56.7°

Step-by-step explanation:

A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?

We solve this question using the Trigonometric function of Sine

From the question, we are told that:

A rectangle is 5.1 cm wide

and each diagonal is 9.3 cm long.

Since we have a diagonal, this means the shape is transformed to a triangle.

The width of the rectangle = Adjacent side of a triangle = 5.1cm

The diagonal of the rectangle = Hypotenuse = 9.3cm

Hence,

cosθ = Adjacent/Hypotenuse

cosθ = 5.1/9.3

cosθ = 0.5483870968

θ = arccos(0.5483870968)

θ = 56.743568714°

Approximately = 56.7°

The measure of the angle is 56.7°

What is the HCF of 32 and 21

Answers

it’s 1 as find the prime factorization of both numbers and multiply all common prime factors they share

Answer:

i think is 1

Step-by-step explanation:

A $5,600 deposit for 45 years at a simple
interest rate of 3%

Answers

Answer:

$13,160

Step-by-step explanation:

5,600*.03=168

168*45= 7,560

5,600+7,560= 13,160

The amount of money in the account of Tom after 3 years with simple interest of 9.5 % is $6135.

What is simple interest?

Calculating the amount of interest that will be charged on a loan can be done quickly and easily using the simple interest formula. To calculate the simple interest, we need to multiply the principle amount, the number of days between payments (in years), and the interest rate (in decimals).

The formula to calculate Simple Interest is:

SI  = P*I*T

Here, P = Principal amount,

I = interest rate (in  decimals),

T = time duration (in years).

putting the values from question:

SI = 5600 * 0.095*3

Simple Interest = 535

The money in the account will be the sum of principal amount and the simple interest.

Final amount = Principal amount + Simple Interest.

A = 5600 + 535

A = 6135

Therefore, the money in the account after 3 years is $6135 .

To know more about simple interest, go to link

brainly.com/question/2294792

#SPJ2

complete question;

Tom deposits $5,600 into a savings account.  The simple interest rate for the account is 9.5%.  If Tom does not withdraw any money from the account, how much money will be in the account after 3 years?

Please help asap! (the question is on the picture)

Answers

Answer:

the answer is 3

explanation:

3x+6/9= 3*7+6/9= 27/9 =3

1. A refrigerator originally cost $795 refrigerator but it is currently on sale with a 20% discount. The sales tax is
9.75%. What is the final sale price after the discount and tax?

Answers

Answer:

1630.77

Step-by-step explanation:

795 * 20% = 159

159 divided 9.75% equals 1630.77

hope this helps :)

A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $15. Lin has $300 to spend on renting the hall for a fundraiser. How many hours can Lin rent the hall for? 1) Write an equation. 2) List what your variable represents. 3) Solve the equation. 4) Answer the question

Answers

Answer:

6 no 3 yes

Step-by-step explanation:

for 6 hours no because she already used 200 and now she only has 100 to spend

for 3 hours yes because that fee would be UNDER her budget

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