121.3 grams of caffeine is remaining in her blood
<h3>How to determine the amount of caffeine?</h3>
The given parameters are:
- Initial, a = 175 mg
- Rate, r = 11.5%
- Time, t = 3 hours
The amount of caffeine is calculated as:
A(t) = a(1 - r)^t
This gives
A(t) = 175 * (1 - 11.5%)^t
At 3 hours, we have:
A(3) = 175 * (1 - 11.5%)^3
Evaluate
A(3) = 121.3
Hence, 121.3 grams of caffeine is remaining in her blood
Read more about exponential functions at:
brainly.com/question/2456547
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Answer:
Step-by-step explanation:
The function d(x) takes a value of x in degrees centigrade and provides the number of degrees that a container of water at that temperature x is far from the boiling point of water.
The function f(d) takes a value d in degrees centigrade and returns a value d(x) in degrees fahrenheit.
Therefore, by doing f(d(x)) we are introducing the function d(x) within the function f(d).
So the range of d(x) now is the domain of f(d(x))
This means that the function f(d(x)) shows the <em>number of degrees Fahrenheit</em> that a water container at a<em> temperature x in degrees Celsius</em> is far from the boiling point of water.
To find the number of full trucks we can do 1006 / 12. This gives us 83.8333. That is, 83 full trucks and a bit left over.
The bit left over is the answer to the second part, the last truck. 0.8333 is the same as 10/12, so the last truck will have 10 cars in it. If we didn’t know that fraction, we could find the answer by saying 12x83 = 996. 1006 - 996 = 10.
So the final answer is: 83 full trucks and 10 cars in the last truck.
Answer:
The answer is below
Step-by-step explanation:
A polynominal function that describes an enclosure is v(x)=1500x-x2 where x is the length of the fence in feet what is the maximum area of the enclosure
Solution:
The maximum area of the enclosure is gotten when the differential with respect to x of the enclosure function is equal to zero. That is:
V'(x) = 0
V(x) = x(1500 - x) = length * breadth.
This means the enclosure has a length of x and a width of 1500 - x
Given that:
v(x)=1500x-x². Hence:
V'(x) = 1500 -2x
V'(x) = 0
1500 -2x = 0
2x = 1500
x = 1500 / 2
x = 750 feet
The maximum area = 1500(750) - 750² = 562500
The maximum area = 562500 feet²
Answer:
$700
Step-by-step explanation:
Step one:
Given data
Regular cost of cell phone= $780
discount = 15%
tax = 5.5%
Step two
Let us compute the discounted amount
= 15/100*780
=0.15*780
=$117
hence the selling price is
=780-117
=$663
Also, the tax-deductible is
=5.5/100*663
=0.055*663
=$36.465
The total cost of the phone will be
=663+36.465
=699.465
=$700 to the nearest cent
