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
mina [271]
3 years ago
11

An element with mass 490 grams decays by 28.6% per minute. How much of the element is remaining after 16 minutes, to the nearest

10th of a gram?
Mathematics
1 answer:
agasfer [191]3 years ago
5 0

Answer:

2.2 grams

Step-by-step explanation:

We can use the compound decay formula shown below to solve this:

F=P(1-r)^t

Where

F is the final amount (what we want to find)

P is the present amount (490 grams)

r is the rate of decay, in decimal (28.6% = 28.6/100 = 0.286)

t is the time in minutes (16)

Substituting, we get:

F=P(1-r)^t\\F=490(1-0.286)^{16}\\F=490(0.714)^{16}\\F=2.2355

So, after 16 minutes, 2.2355 grams will be remaining.

<em>Rounded to nearest tenth of a gram (1 decimal place) = </em><em>2.2 grams remaining</em>

You might be interested in
Gina and rhonda work for different real estate agencies gina earns a monthly salary of $5,000 plus 6% commission on her salary r
ladessa [460]
Each must sell 35,678 dollars each year not counting commision to add 6 percent of that. 
6 0
3 years ago
He was a Jamaican-American Civil Rights activist who was part of the "Back to Africa" movement of the early 20th century and fou
Llana [10]
Marcus Garvey was <span>a Jamaican-American Civil Rights activist who was part of the "Back to Africa" movement of the early 20th century and founded the "Black Star Steamship Company" for this purpose.
He was also pro Pan-African movement which proposed the idea that all people of African descent should unite in order to improve the state of affairs in Africa. </span>
4 0
3 years ago
The sum of the first term of an ap is 240 and the sum of the next 4 term is 220 find the first term of the ap
Sindrei [870]

Answer:

The common difference is -5/4

T(n) = T(0)  - 5n/4,

where T(0) can be any number. d = -5/4

Assuming T(0) = 0, then first term

T(1) = 0 -5/4 = -5/4

Step-by-step explanation:

T(n) = T(0) + n*d

Let

S1 = T(x) + T(x+1) + T(x+2) + T(x+3) = 4*T(0) + (x + x+1 + x+2 + x+3)d = 240

S2 = T(x+4) + T(x+5) + T(x+6) + T(x+7) = 4*T(0) + (x+5 + x+6 + x+7 + x+8)d = 220

S2 - S1

= 4*T(0) + (x+5 + x+6 + x+7 + x+8)d - (4*T(0) + (x+1 + x+2 + x+3 + x+4)d)

= (5+6+7+8 - 1 -2-3-4)d

= 4(4)d

= 16d

Since S2=220,  S1 = 240

220-240 = 16d

d = -20/16 = -5/4

Since T(0) has not been defined, it could be any number.

7 0
3 years ago
What is 4,876,213 rounded to the nearest ten thousand
Nutka1998 [239]
4,880,000

hope that helps!!
4 0
3 years ago
Train A departs from Point A with a velocity of 100 km/h, Train B departs from Point B with a velocity of 200 km/h, and the dist
Bad White [126]

It would take 4 hours for both trains to meet.

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let t represent the time at which both trains meet, and d represent the distance covered by train A, hence:

For train A:

100 = d / t

t = d/100

For train B:

200 = (1200 - d) / t

t = (1200 - d) / 200

d/100 = (1200 - d)/200

2d = 1200 - d

3d = 1200

d = 400 km

t = 400 / 100 = 4 hours

It would take 4 hours for both trains to meet.

Find out more at: brainly.com/question/22610586

8 0
2 years ago
Other questions:
  • Write a recursive formula for 72,12,2
    14·1 answer
  • Which of the following is the missing side length that completes the Pythagorean triple below? 5, 12, ____ A. 17 B. 15 C. 13 D.
    8·1 answer
  • Explain what percent of a dollar a quarter, 2 nickles, a dime and three pennies are
    7·1 answer
  • Tim had $100 in his bank account at the beginning of the month. During the month, he withdrew (w) dollars and deposited (d) doll
    14·1 answer
  • After cutting 1 5/8 in. off the end of a piece of molding, a carpenter had the exact length that he needed, which was 32 1/8 in.
    9·1 answer
  • The volume of a cylinder is 540 pi ft^3 the height is 15 ft. what is the diameter
    11·2 answers
  • | How do you write 1.4 x 102 in standard form?
    11·1 answer
  • Joe would like to paint a rectangular shaped wall. The measures of dimensions of the wall are 8 inches by 4 inches. Every 1 inch
    9·2 answers
  • Write a sentence that represents this equation 8 = 11 -5 V
    6·1 answer
  • A collection of 77 quarters and dimes is worth $12.50. How many quarters are in the collection? PLS HELP ILL GIVE YOU BRAINLEST
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!