Irene just drank a cup of coffee to help her stay awake. The coffee had 120 milligrams of caffeine in it. If her body processes 10% of the caffeine every hour, how much will be left in 10 hours? If necessary, round your answer to the nearest tenth.

Answers

Answer 1

Answer:

Hi there!

For this, we need to use an exponential function. This is because it constantly takes 10% of what is left, not just 10% of the total. The formula for an exponential function:

$a\cdot b^x$

Where $a$ is the original value, $b$ is the rate of change, and $x$ is the time. We know the original value is 120 milligrams. The rate of change is 90%, as after every hour there is 90% of what there was previously remaining. Finally, we are looking for how much is remaining after 10 hours, so 10 is the time.

Plugging this all in, we get:

$120\cdot .9^(10)$

Now, solving:

$120\cdot 0.34867$

$41.8404$

Thus, after rounding, we get that 41.8 milligrams of caffeine will be left in 10 hours.

Hope this helps! Feel free to let me know if you have additional questions about this problem.

Related Questions

a spherical fountain il has a radius of 1.5 feet. find the volume of the fountain to the nearest tenth of a cubic foot
Question 3.3. Find the LCD of these fractions.4/x^2y, 20/xy (Points : 1) A. xy b. xy^2 c.x^2y d. x^2y^2 help please? :)
34% of what number is 51
11.68 - 0.48 ÷ (-1.6) =
Kevin is 4 times as old as Daniel and is also 6 years older than Daniel. How old is Kevin?

Can you tell me what 4% of ? is 56 days

Answers

The answer is
56/0.04=1400

Given the similarity statement ΔDEF ∼ ΔXYZ, which side corresponds with ED? A. EF
B. ZY
C. XZ
D. YX

Answers

YX is corresponding with ED

Hope it helps.

Please mark me brainliest

The telephone rates between your city and the city where your brother lives are $.54 for the first minute and $.22 for each additional minute. Calculate the cost of a 10-minute call to your brother.

Answers

The first minute costs $0.54.
From the second minute to nine minutes, each minute costs $0.22.
Therefore, the total cost within 10 minutes is
$0.54 + 9($0.22) = $2.52

Mairé is thinking of two numbers. The first number is 14 less than the second number. When she adds them, she gets 40. Help her younger sister, Enya, figure out the numbers.

Answers

Using equations, the two numbers are 27 and 13, with the first number being 14 less than the second number, and their sum is 40.

How to use equations to find the two numbers?

Let's represent the two numbers as x (the second number) and y (the first number).

According to the given information:

The first number is 14 less than the second number: y = x - 14

When she adds them, she gets 40: x + y = 40

Now, we can use these two equations to find the values of x and y.

Substitute the value of y from the first equation into the second equation:

x + (x - 14) = 40

Now, solve for x:

2x - 14 = 40

2x = 54

x = 27

Now that we have the value of x, we can find y using the first equation:

y = x - 14

y = 27 - 14

y = 13

So, the two numbers are 27 and 13.

Learn more about equations on:

brainly.com/question/25678139

#SPJ3

Answer:

34 and 6 =40

Step-by-step explanation:

40 divided by 2=20 20-14=6 14+20=34

Which is equal to 42 • 48?
a. 416
b. 410
c. 46
d. 4−6

Answers

Answer:

$4^(-6)$

Step-by-step explanation:

Given : $4^2 / 4^8$

To Find :Which is equal to $4^2 / 4^8$ ?

a. $4^(16)$

b. $4^(10)$

c. $4^6$

d. $4^(-6)$

Solution:

$4^2 / 4^8$

Property : $a^x / a^y = a^(x-y)$

Using the property :

$4^(2-8)$

$4^(-6)$

So, $4^2 / 4^8$ = $4^(-6)$

So With Questions Like These
Remember,
Multiply = add the exponents
Divide = Subtract the Exponents
AND ALWAYS KEEP THE BASE

So Its B

Susan drove an average speed of 30 miles per hour for the first 30 miles of a trip & then at a average speed of 60 miles/hr for the remaining 30 miles of the trip if she made no stops during the trip what was susan's avg speed in miles/hr for the entire trip.(A) 35(B) 40(C) 45(D) 50(E) 55

Answers

Answer:

The correct option is B.

Step-by-step explanation:

It is given that Susan drove an average speed of 30 miles per hour for the first 30 miles of a trip & then at a average speed of 60 miles/hr for the remaining 30 miles of the trip.

$Time=(Distance)/(Speed)$