1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Harman [31]
2 years ago
9

A radioactive material is known to decay at a yearly rate proportional to the amount at each moment. There were 1000 grams of th

e material 10 years ago. There are 980 prams right now. What will be the amount of the material right after 20 years?
a. 10 ln 2/ln(1000/980)
b. 10^6/980
c. 980^3/10^6
d. 980^2/10^3
Mathematics
1 answer:
Mandarinka [93]2 years ago
7 0

Answer:

Amount left is 941.95 g.

Step-by-step explanation:

initial amount = 1000 g

time = 10 years

amount left =  980 grams

Now

980 = 1000 e^{-\lambda t}\\\\e^{\lambda\times 10}= 1.02\\\\10 \lambda  = ln 1.02\\\\\lambda  = 1.98\times10^{-3} per year

time t = 20 years

Let the amount is N.

980 = 1000 e^{-\lambda t}\\\\e^{\lambda\times 10}= 1.02\\\\10 \lambda  = ln 1.02\\\\\lambda  = 1.98\times10^{-3} per year\\N = 980 e^{- 1.98\times 10^{-3}\times 20}\\\\ln N = ln 980 - 0.0396\\\\ln N = 6.88 - 0.0396 = 6.86\\\\N = 941.95 g

You might be interested in
Type the correct answer in each box use numerals instead of words consider the quadratic equation
irinina [24]
Where are the boxes we’re looking at??
7 0
3 years ago
Consider the equation below. (if an answer does not exist, enter dne.) f(x) = x4 − 32x2 + 5 (a) find the interval on which f is
ivann1987 [24]
The function f(x) is increasing on the interval (-4, 0) ∪ (4, ∞).

6 0
3 years ago
Read 2 more answers
A square pyramid is shown sitting on its base.
sesenic [268]

Answer:

312

Step-by-step explanation:

First we find the measure of the basea and that is 144 becuase 12x12

To find one side we do b*h over 2 and that is 7x12/2 which is 42 then we know that there are 4 more of those sides and we get 42*4 168

When we add 144+168 we will get 312

5 0
2 years ago
The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decide to create parallel tracks through this por
olga2289 [7]

Answer:

there are no signs between the x and y and constant

it could be

2x+5y=15

2x+5y=-15

-2x+5y=15

2x-5y=15

for ax+by=c, the equation of a line paralell to that is

ax+by=d where a=a, b=b, and c and d are constants

(for this answer, I'm going to use 2x+5y=15)

given 2x+5y=15, the equation of a line paralell to that is 2x+5y=d

to find d, subsitute the point (4,-2), basically put 4 in for x and -2 for y to get the constant

2x+5y=d

2(4)+5(-2)=d

8-10=d

-2=d

the eqaution is 2x+5y=-2 (Only if the original equation is 2x+5y=-15

pls mark me brainlest

5 0
2 years ago
Which number sentence has a difference of 5?<br> 8-(-3)<br> 0<br> -3-8<br> -3-(-8)<br> 3-(-8)
valina [46]

Answer:

The 4th one

Step-by-step explanation:

-3-(-8)=5

6 0
2 years ago
Other questions:
  • A basketball player recorded her points for 11 consecutive games. Her points are listed below. 13, 20, 15, 22, 24, 21, 18, 20, 2
    12·2 answers
  • Select the term that does NOT describe the triangle. Select all that apply
    8·2 answers
  • In an online practice test, Sam scores 18 points for the questions he
    13·1 answer
  • ??????????????!!?????!!
    5·1 answer
  • Mr. Smith is planting a class garden for his third grade class. He surveys the class and determines that 65% prefer planting cor
    9·2 answers
  • What is the side length of a cube with a volume of 3375 cm3
    14·2 answers
  • 59.67÷11.1 what's the answer show me the work
    10·1 answer
  • Please help asap 20 pts
    14·1 answer
  • San Francisco is known for its fine chocolates. If a deluxe box of fancy chocolates weighs 1 pound 8 ounces and contains 32 choc
    12·1 answer
  • Write these numbers in expanded form 2,897,926
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!