Mathematics, 10.04.2020 11:00 officialgraciela67

Researchers at the Centers for Disease Control and Prevention have been studying the decay pattern of a new virus with a decay rate of 19% per hour. They start with 300 viruses that they want to check on in the next 7 hours. How many viruses will they find in 7 hours? Round your answer to the nearest whole number

Answers: 3

Show answers

Answers

Answer from: Seumas9307

Using an exponential function, it is found that they will find 69 viruses in 7 hours.

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

A(0) is the initial value.r is the decay rate, as a decimal.

In this problem:

Decay rate of 19% per hour, hence r = 0.19

They start with 300 viruses, hence A(0) = 300

Then

A(t) = A(0)(1 - r)^t

A(t) = 300(1 - 0.19)^t

A(t) = 300(0.81)^t

In 7 hours:

A(7) = 300(0.81)^7 = 69

They will find 69 viruses in 7 hours.

A similar problem is given at link

Answer from: alexisbcatlett14

The Researcher will find 69 viruses, because 231 viruses are decayed in 7 hours, if a virus with a decay rate of 19% per hour and they start with 300 viruses.

Step-by-step explanation:

The given is,

A new virus with a decay rate of 19% per hour

They start with 300 viruses

Step:1

Formula to calculate the viruses at decay rate,

$y = A(1-r)^{t}$ ............................(1)

Where, y - No of viruses after given time

A - Viruses at initial stage

r - Decay rate

t - No. of hours

From the given,

A = 300

r = 19% per hour

t = 7 hours

Equation (1) becomes,

$y = 300(1-0.19)^{7}$

$= 300(0.81)^{7}$

= 300(0.228767)

= 68.63

Viruses of 7 hours ≅ 69 viruses

( or )

Step:1

For 1st hour,

= (No.of viruses in hour) - (No,of viruses in last hour × Decay rate )

= (300)-(300 × 0.19)

= 300 - 57

= 243

For 2nd hour,

= (243)-(243 × 0.19)

= 243 - 46.17

= 196.83

For 3rd hour,

= (196.83)-(196.83 × 0.19)

= 196.83 - 37.39

= 159.4323

For 4th hour,

= (159.4323)-(159.4323 × 0.19)

= 159.4323 - 30.2921

= 129.1402

For 5th hour,

= (129.1402)-(129.1402 × 0.19)

= 129.1402 - 24.5366

= 104.6035

For 6th hour,

= ( 104.6035)-( 104.6035 × 0.19)

= 104.6035 - 19.8747

= 84.7288

For 7th hour,

= (84.7288)-(84.7288 × 0.19)

= 84.7288 - 16.0984

= 68.63 viruses

Result:

The Researcher will find 69 viruses, because 231 viruses are decayed in 7 hours, if a virus with a decay rate of 19% per hour and they start with 300 viruses.

Answer from: Quest

343t464564435rri76i6u

step-by-step explanation:

because i said it is

Answer from: Quest

1 is c

2 is a

3 is a

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 17:30

Nick and nora are married and have three children in college. they have an adjusted gross income of 47,400. if their standard deduction is 12,600 itemized deductions are 14,200 and they get an exemption of 4000 for each adult and each dependent what is their taxable income

Answers: 3

Answer

Mathematics, 21.06.2019 22:30

Which description is represented by a discrete graph? kiley bought a platter for $19 and several matching bowls that were $8 each. what is the total cost before tax? the temperature at 9 a.m. was 83° f and is heating up at an average rate of 6°f per hour. what is the temperature x hours later? juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast. what is the total amount of calories he consumed? a bottle contained 2,000 ml of liquid and is being poured out at an average rate of 300 ml per second. how much liquid is left in the bottle after x seconds?

Answers: 3

Answer

Mathematics, 21.06.2019 23:30

On the day a coffee shop first opened, it had 140 customers. 65% of the customers ordered a large coffee. how many customers ordered a large coffee? enter your answer in the box.

Answers: 1

Answer

Mathematics, 22.06.2019 00:10

Is the number 128.439 a rational number

Answers: 2

Answer

You know the right answer?

Researchers at the Centers for Disease Control and Prevention have been studying the decay pattern o...

Questions