Answer:
[tex]C(t)=125\cdot 0.9^t[/tex]
Step-by-step explanation:
Exponential Decay Function
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
[tex]C(t)=C_o\cdot(1-r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The doctor prescribed 125 milligrams of a therapeutic drug. It decays by 10% each hour. The initial value is Co=125 and the decay rate is r=0.1 per hour. Substituting into the function:
[tex]C(t)=125\cdot(1-0.1)^t[/tex]
Operating:
[tex]\mathbf{C(t)=125\cdot 0.9^t}[/tex]
Where t is expressed in hours.
Pls help....................
Answer: EGF
Step-by-step explanation:
Which of these prices is lower than 5 for $3.00?
12 for 7 dollars
8 for 5 dollars and 44 cents
6 for $3.72
7 for $4.06
(HELP TAKING A TEST)
Answer:
Sorry im not good at math
I WILL MARK U BRAINLIEST IF U DO THIS CORRECTLY!!!!!! ATTACHMENT BELOW
Answer:
210
Step-by-step explanation:
If each floor was 14 ft, and they want 15 floors, you would do 14 x 15, which equals 210
GIVEING BRAINLIST Match the terms to their definition.
1. proportion
a statement that sets the cross products of a proportion equal to each other
2. constant of proportionality
the relationship between two quantities that have a constant ratio
3. cross multiplication
the constant value relating two proportional quantities
4. proportional relationship
a statement that says two ratios are equal
Answer:
proportion=a statement that says two ratios are equal
constant of proportionality= the constant value relating two proportional quantities
cross multiplication= a statement that sets the cross products of a proportion equal to each other
proportional relationship= the relationship between two quantities that have a constant ratio
i just did this so you can mark the other person brainlist
x^2-7x+7y-y^2
Factor (pls explain)
Answer: x(x-7)+y(7-y).
X and Y are common factors so you can factor both out and get this.
Subtract. Write the difference in simplest form.
(5n - 3) - (-2n + 7)
Answer:
Simplifying
(5n + -3) + -1(-2n + 7) = 0
Reorder the terms:
(-3 + 5n) + -1(-2n + 7) = 0
Remove parenthesis around (-3 + 5n)
-3 + 5n + -1(-2n + 7) = 0
Reorder the terms:
-3 + 5n + -1(7 + -2n) = 0
-3 + 5n + (7 * -1 + -2n * -1) = 0
-3 + 5n + (-7 + 2n) = 0
Reorder the terms:
-3 + -7 + 5n + 2n = 0
Combine like terms: -3 + -7 = -10
-10 + 5n + 2n = 0
Combine like terms: 5n + 2n = 7n
-10 + 7n = 0
Solving
-10 + 7n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 7n = 0 + 10
Combine like terms: -10 + 10 = 0
0 + 7n = 0 + 10
7n = 0 + 10
Combine like terms: 0 + 10 = 10
7n = 10
Divide each side by '7'.
n = 1.428571429
Simplifying
n = 1.428571429
Answer:
79-10
Step-by-step explanation:
Brainliest please.
What is 903 divided by 72?
33 POINTS FOR THIS QUESTION!!
Answer:
12.5416667
Step-by-step explanation:
In Taxland, the first $20,000 of income is exempt from tax. There is a 12% tax rate on income between $20,000 and $50,000, and a 16% tax rate on all income over $50,000.
Mr. Taxi earns $90,000. His average tax rate is
and his marginal tax rate is
.
Write your answer as a percent with one decimal point: for example 2.6%
Answer:
16.0%
16.0%
Step-by-step explanation:
Given that :
First $20,000 is exempt from tax
$20000 to $50000 = 12% tax rate
Over $50000 = 16% tax rate
Earning = $90000
Since earning is greater than $50000
Tax rate = 16% = 0.16
Average tax rate = tax paid / taxable income
Tax paid = 0.16 * 90,000 = $14,400
Average tax rate = 14,400 / 90,000
Average tax rate = 0.16 = 16%
Marginal tax rate :
Change in tax paid / change in earning
Suppose ; amount earned increases to 95,000
Tax paid = 95000 * 0.16 = 15200
Change in tax paid = (15200 - 14400) = 800
Change in earning = 95000 - 90000 = 5000
= 800 / 5000
= 0.16 = 16%
Marginal tax rate = 16%
0.0008012 in standard form
Answer:
Step-by-step explanation:
8.012 x 10^-4
Answer:
8.012×10^-4
Step-by-step explanation:
..............
SOLVE FOR VARIABLE PLEASE HELPP ASAP!!:)))
Answer:
x=24
Step-by-step explanation:
180-96=84
2x+x+12=84
3x+12=84
3x=72
x=24
Answer:
x=24°
Step-by-step explanation:
180-96=84
2x+x+12=84
3x+12=84
-12 -12
3x=72
3x/3=72/3
x=24
hopefully this helps :)
jason is 3 times as old as his cousin. seven years from now the sum of their ages will be equal to 38. how old are they now
Answer:
Jadon is 18yrs
Cousin 6 yrs
Step-by-step explanation:
Answer:
Jason is 18 years old and his cousin is 6 years old.
Step-by-step explanation:
Just took the test
What postulate would you use to prove PQR TSR?
Answer:
SAS
Step-by-step explanation:
You have two pairs of congruent sides that are congruent.
The included angles are vertical angles, so they are congruent.
That means you have two sides and the included angle in each triangle.
Answer: SAS
whats the answer giving brainliest to the c o rect anwers
Answer:
A
Step-by-step explanation:
9/3 is 3
36-3 is 33
Which equation represents a line parallel to the x-axis
1 x=5
2 y=10
3 x=1/3y
4 y=5x +17
Answer:
4
Step-by-step explanation:
Answer:
The answer is 4
Step-by-step explanation:
please give me brianliest
Out of-pocket spending in a country for health care increased between 2003 and 2008. The function fox)-2574models average annual expenditures per household, in dollars. In this model, x represents the year, where x 0 corresponds to 2003 (a) Estimate out-of-pocket household spending on health care in 2008 (b) Determine the year when spending reached $2875 per household (c) The total expenditures per household in the year 2008 were approximately S (Round to the nearest dollar as needed.)
Answer:
(a) The total expenditures per household in the year 2008 were approximately $3,080.
(b) The spending reached $2875 per household in 2006.
Step-by-step explanation:
Note: This question is not complete, and the part c is not another question but the same question as part a. The complete question is therefore provided before answering the question as follows:
Out of-pocket spending in a country for health care increased between 2003 and 2008. The function f(x) = 2574e^(0.0359x) models average annual expenditures per household, in dollars. In this model, x represents the year, where x = 0 corresponds to 2003.
(a) Estimate out-of-pocket household spending on health care in 2008.
(b) Determine the year when spending reached $2875 per household
The explanation to the answer is now given as follows:
(a) Estimate out-of-pocket household spending on health care in 2008.
Given;
f(x) = 2574e^(0.0359x) ........................ (1)
Since x = 0 corresponds to 2003; by counting from 2003 to 2008, it implies that x = 5 corresponds to 2008.
Substituting x = 5 into equation (1) to estimate out-of-pocket household spending on health care in 2008, we have:
f(6) = 2574e^(0.0359 * 5)
f(6) = 2574 * 1.19661890406748
f(6) = 3,080.09705906969
Rounding to the nearest dollar as needed, we have:
f(6) = $3,080
Therefore, the total expenditures per household in the year 2008 were approximately $3,080.
(b) Determine the year when spending reached $2875 per household
This can be determined using equation (1) in part a by equating f(x) to $2875 solve for x as follows:
2875 = 2574e^(0.0359x)
2875 /2574 = e^(0.0359x)
1.11693861693862 = e^(0.0359x)
Taking the natural log of both sides, we have:
ln(1.11693861693862) = ln(e^(0.0359x))
0.110591565075382 = 0.0359x
x = 0.110591565075382 / 0.0359
x = 3.0805449881722
Approximating to a whole number, we have:
x = 3
Since x = 0 corresponds to 2003; by counting from 2003, x = 3 corresponds to 2006.
Therefore, the spending reached $2875 per household in 2006.
An exponential model can be found when two data points from the model are known.
The total expenditures per household in the year 2008 were near $3,080.
The spending reached $2875 per household in year 2006
(a). Out of-pocket spending in a country for health care given by function, [tex]f(x) = 2574e^{0.0359x}[/tex]
Since [tex]x = 0[/tex] corresponds to 2003, Similarly, x = 5 corresponds to 2008.
Substituting x = 5 into above function to estimate out-of-pocket household spending on health care in 2008
[tex]f(5) = 2574e^{0.0359*5} \\\\f(5)=3080[/tex]
f(5) = $3,080
Therefore, the total expenditures per household in the year 2008 were approximately $3,080.
(b). To determine the year when spending reached $2875 per household
[tex]2875 = 2574e^{0.0359x} \\\\2875/2574=e^{0.0359x} \\\\1.1169=e^{0.0359x}[/tex]
Taking natural log on both side
[tex]x=\frac{ln(1.1169)}{0.0359} =3.07[/tex]
Since x = 0 corresponds to 2003, So x = 3 corresponds to 2006.
Therefore, the spending reached $2875 per household in 2006.
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What is the value of this expression when x = -6 and ? 4(x2 + 3) − 2y
A. -131 B. -35 C. 57 D. 157
Answer:
I'm gonna guess and I don't know. I'm gonna go with C or A
Answer:
A
Step-by-step explanation:
I Just Took the Test.
What is 17/40 written as a decimal?
Answer:
0.425
Step-by-step explanation:
division of 17/40
Find two numbers the quotient is between. then estimate the quotient 41÷3
Answer:
25
Step-by-step explanation:
I'm not really good at math but I think 25 is the answe
:((( needdddd some help pleaseee
Answer:
D). g(x) = - x² - 4
Step-by-step explanation:
D). g(x) = - x² - 4
Answer: D
Step-by-step explanation: This has to do with Transformations. With transformations, it follows this formula:
A (Bx±C) ± D
A is a vertical transformation where the graph is pulled upwards or squished downwards. If it is a whole number, like 2, the graph is pulled (stretched) up. If it is a fraction, like 1/2, the graph is squished.
B is a horizontal transformation where the graph is stretched outwards or squished inwards (think: accordian). If it is a whole number, like 2, the graph is squished inwards. If it is a fraction, like 1/2, the graph is stretched outwards.
C is a shift right or left. In this case, the ENTIRE graph moves right or left by C. If it is x+C, the graph moves left. If it is x-C, the graph moves right.
D is a shift up or down. In this case, the ENTIRE graph moves up or down by D. If it is +D, the grapjh moves up. If it is -D, the graph moves down.
If there are no Parenthesis or Square Root for B and C to be inside of, then there is no B and C. For the graph of x², for example, you might only have
Ax² ± D.
A graph of x² with parenthesis might look like this
A (Bx²± C) ± D.
Finally, if there is a negative (-) in front of A, that means the entire graph flips accross the x-axis, upsidown. If it is a parabola (x²), then the 'opening' or 'U-shape' faces down when there is a negative in front of A.
Ok, now that the basics are taken care of, we can analyze the graph provided. We are given with the basic graph of x². The first obvious noteicable thing we see is the fact that the new graph, g(x), has been moved down by 4 units.
We know that a shift Downwards is an effect of D, so we know the graph of g(x) looks like this so far:
x² - 4
However, that is not the only transformation that we can notice about g(x). We see that g(x) is flipped upsidown, with its 'U-shape' facing downwards. We know that this is because there is a negative in front of A.
So, g(x) looks like this now:
- x² - 4
After careful examination, there are no other noticeable transformations, so we figure out that g(x) = - x² - 4.
PLEASE HELP WILL MARK AS BRAINLEST
Question: Use the equation
y = 5 + 1/2x to complete the table. Use the table to list some of the ordered pairs that satisfy the equation.
Twice a number q minus 1 is less than 5
Answer:
2q - 1 < 5
If you're trying to solve for q...
q < 3
Step-by-step explanation:
I'm not sure if you were asking for the inequality or the answer for q... but I'll gladly explain either if you need :)
JK is formed by J(-12,3) and K(8,-5). If line r is the perpendicular bisector of JK, write an equation for r in slope-intercept form.
Answer:
y = 5/2x + 4Step-by-step explanation:
Midpoint of JK:
x = (-12 + 8)/2 = -4/2 = -2y = (3 - 5)/2 = -2/2 = -1Slope of the line JK:
m = (-5 - 3)/(8 - (-12)) = -8/20 = -2/5Perpendicular lines have negative reciprocal slopes.
So the line r has a slope 5/2 and passes through the point (-2, -1)
Equation of r:
y = 5/2x + b-1 = 5/2(-2) + b-1 = -5 + bb = 5 - 1b = 4So the equation is:
y = 5/2x + 4If P= {2, 3, 5, 7, 11, 13, 17, 19}, what is n(P)?
Answer:
Mark a s brainliest
Step-by-step explanation:
We are given the set:
P = {2, 3, 5, 7, 11, 13, 17, 19}
The n( ) function of a set is used to find out the number of elements in a set [also known as the cardinality of a set]
To find out the cardinality of a set, we usually count the number of terms in the set but keep in mind that ∅ (null) is an element of every set there is. So, the given set can be re-written as:
P = {∅, 2, 3, 5, 7, 11, 13, 17, 19}
From this, we can clearly see that there are 9 elements in this set
Therefore, the n(P) (cardinality) of this set is 9
In the triangle shown, the measure of angle A is 65.
B
65°
Choose all of the statements that are sufficient to determine that A ABC is an isosceles triangle.
m2B = 25°
B. MzB = 50
OOOO
C. m C = 65°
D.
AC = 65 units
E. AB = BC = 25 units
SRESET
Cynthia D Moreno, ID#****80
Growth: Math 6+ TX 2012
Question #8
Answer:
B. m<B=50
C. m<C=65
Step-by-step explanation:
We know that the interior angles of a triangle add up to 180 so knowing that A and C would be the same because of the fact it’s isosceles, the measure of A+C=130 meaning measure of missing angle B would be 50.
Answer:
B and C
Step-by-step explanation:
x delivery persons carry a total of B bags of groceries up the stairs. They can each carry y bags at a time, and they each make 2 trips up the stairs.
Write an equation that relates x, B, and y.
Answer:
B= 2xy
Example:
2 delivery persons carry a total of 4 bags of groceries up the stairs. they can each carry 1 bag at a time, and they make 2 trips up the stairs.
The equation relaated to x, B, and y is B= 2xy.
What is an equation?
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
2 delivery persons carry a total of 4 bags of groceries up the stairs. they can each carry 1 bag at a time, and they make 2 trips up the stairs. Then the equation is,
B =2xy
Here, B = Total Bags , x = Delivery persons and y = Number of bags.
To know more about equations follow
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After constructing a confidence interval estimate for a population mean, you believe that the interval is useless because it is too wide. In order to correct this problem, you need to:_______.a. increase the population standard deviation b. increase the level of confidence c. increase the sample size d. increase the sample mean e, none of these would help
Answer: C. Increase the sample size
Step-by-step explanation: The confidence interval is a interval estimate of two numbers. From the question, the width confidence interval
Can be modified into a more narrow margin by reducing the standard error. The standard error is the value obtained from the division of standard deviation and the square root of sample size. Hence, a decrease in the standard error will give a more narrow confidence interval estimate. The standard error can be reduced by increasing the denominator of the standard error formula which is the sample size.
What compound inequality describes this graph
Answer:
[tex] 3 < x < 4 [/tex]
Step-by-step explanation:
The graph shows a conjunction. Meaning, both statements of the compound inequality are true.
The empty circle shows that the values of x do not include 3 and 4. This means that x is greater than 3 and x is less than 4.
The compound inequality would be written as:
[tex] 3 < x < 4 [/tex]
HELP If 90 containers of candy hearts cost $2.70, what is the constant of proportionality
Answer: 0.03$ per container or 3 cents per container.
Step-by-step explanation: 2.70/90=0.03.
Answer:
It's either 0.03 or 2.70
Step-by-step explanation:
At a school party there are 40 cookies. The ratio of chocolate cookies to oatmeal cookies is shown in the tape diagram.
How many oatmeal cookies were at the party?
Answer:
15 oatmeal cookies.
I need help with this ASAP!!
Answer:
45
Step-by-step explanation:
Just plug in 12 wherever "z" is so,
[tex]5^2-\frac{12}{3} +2(12)[/tex] simplify the equation ⇒ [tex]25-4+24[/tex]
25-4=21
21+24=45
subtract and add as needed and finally our answer is
45