The function y = 100(0.5) x
4
models the percent, y, of an initial dose of medicine remaining in a patientbloodstream after x hours.
Based on the model, what percent of the initial amount of medicine will remain in the patient’s bloodstream after 10 hours? Round to the nearest whole percent.
Answers
The percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is, 17.7%.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
Since, The function that models the percentage, y, of an initial dose of medicine remaining in a patient's bloodstream after x hours is given as,
⇒
Now, if we substitute the value of x as 10 because we need to find the percentage of medicine in the body after 10 hours.
Therefore, the value can be written as,
⇒
Put x = 10;
⇒
⇒ y = 17.677
⇒ y = 17.7
Thus, the percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is 17.7%.
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Answer:
18% , 27 Hours
Step-by-step explanation:
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$35 is 20% of $175
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O -15
08
a
08
O 15
Answers
Answer:
A. -15
Step-by-step explanation:
First, ignore the negative sign and simply pretend the problem is asking for the product of 3 and 5.
When multiplying a by b, it's essentially the same as adding a to itself b times. Here, we multiply 3 by 5, so add 3 to itself 5 times: 3 + 3 + 3 + 3 + 3 = 15.
Now, look at the negative sign. When we multiply two numbers of different signs (one is negative and one is positive), the result is always negative. However, when we multiply two numbers of the same sign (either both positive or both negative), the result is always positive.
Here, we have one negative and one positive, which means the result should be negative. So, add a negative sign to 15 to get -15.
The answer is A.
Answer:
-15
Step-by-step explanation:
Product of a and b is:
a × b
Similarly, the product of -3 and 5 is:
-3 × 5
-15
which is the dependent and independent variable
Answers
The dependent variable is m. Its value changes when B changes.
The independent variable is B. It does not rely on anything for it to change its value.
30 is the constant of the equation. This means that its value does not change even if changes occur in the equation as a whole.
$
nothing should be deposited today.
(Do not round until the final answer. Then round to the nearest cent as needed.)
Answers
Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Solve for P
Final answer:
To have $65,000 in 8 years for a down payment on a house, nothing needs to be deposited today.
Explanation:
To find the amount that must be deposited today, we can use the formula for compound interest. The formula is given by:
A = P(1 + r/n)nt
Where:
- A is the future value of the investment
- P is the principal amount, or the initial deposit
- r is the annual interest rate (expressed as a decimal)
- n is the number of times interest is compounded per year
- t is the number of years
We know that the future value (A) that we want is $65,000, the annual interest rate (r) is 4% or 0.04 (expressed as a decimal), the number of times interest is compounded (n) is 1 (since it's compounded annually), and the number of years (t) is 8. We need to find the principal amount (P).
Plugging the values into the formula, we can solve for P:
$65,000 = P(1 + 0.04/1)1 * 8
First, we simplify the fraction:
$65,000 = P(1 + 0.04)8
Next, we calculate the value inside the parentheses:
$65,000 = P(1.04)8
Finally, we solve for P by dividing both sides by (1.04)8:
P = $65,000 / (1.04)8
Using a calculator, we find that P ≈ $49,207.75. Therefore, to have $65,000 in 8 years for a down payment on a house, nothing needs to be deposited today.
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Answers
=15.625
Answer:
15.625
Step-by-step explanation: