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.
Please help! First answer correct BRAINLIEST
Answer:
8 in
Step-by-step explanation:
Area=(1/2)*(p1+p2)*d
Mega Movers charges $19.50 per day for truck rentals, plus an additional mileage fee of $0.95 per mile. U-Move-It charges $42.00 per day for truck rentals, plus an additional mileage fee of $0.45 per mile for mileage over 20 miles. Which of the following systems of equations could be used to find the total mileage, m, that will make the cost, p, of renting a moving truck for one day equal at each rental company, assuming m≥20, is greater than or equal to, 20?
The equation used to find the total mileage, m, that will make the cost, p, of renting a moving truck for one day equal at each rental company is 45 miles
EquationTotal mileage = mCost = pMega movers:
Fixed cost per day = $19.50
Additional cost per mileage = $0.95
p = 19.50 + 0.95m
U-move:
Fixed cost per day = $42.00
Additional cost per mileage =$0.45
p = 42.00 + 0.45m
Equate the cost of both company19.50 + 0.95m = 42.00 + 0.45m
0.95m - 0.45m = 42.00 - 19.50
0.50m = 22.50
m = 22.50 / 0.50
m = 45 miles
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charlie stands at point A while holding the control line attached to a model airplane. the plane travels 120 feet counterclockwise from point b to point c about how long is the control line
The counterclockwise direction of the airplane implies that it moves in the opposite direction
The control line could be 60 feet long
How to determine the length of the control line?The question is incomplete, as the figure that represents the control line and other parameters are not given.
However, a possible solution is as follows.
From the question, we understand that the airplane travels 120 feet counterclockwise.
The counterclockwise direction could represent that points B and C are on either sides of point A, such that:
AB = AC = 0.5* BC
So, we have
AB = 0.5* 120
AB = 60 feet
Hence, the control line could be 60 feet long
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A solid has volume 7 cubic units. The equation k =
represents the scale factor of k by which
the solid must be dilated to obtain an image with volume V cubic units. Select all points which are
on the graph representing this equation.
a. (0,0)
e. (14,2)
b. (1,1)
f. (49,2)
C. (1,7)
(
g. (56,2)
(71)
h (27,3)
The volume of the solid is the amount of space in it.
The points on the graph are (0,0) and (1,7)
How to determine the points?The volume is given as:
V1 = 7
The scale factor is given as:
k
Let the new volume be V.
So, we have:
V = V1 * k^3
Substitute 7 for V1
V = 7k^3
Divide both sides by 7
k^3 = V/7
Take the cube root of both sides
k = (V/7)^1/3
Next, we test the options
a. (0,0)
k = (0/7)^1/3
k = 0 --- this is true
b. (1,1)
k = (1/7)^1/3
k = 0.05 --- this is false
c. (1,7)
k = (7/7)^1/3
k = 1 --- this is true
d (7, 1)
k = (1/7)^1/3
k = 0.05 --- this is false
e. (14,2)
k = (2/7)^1/3
k = 0.10 --- this is false
f. (49,2)
k = (2/7)^1/3
k = 0.10 --- this is false
g. (56,2)
k = (2/7)^1/3
k = 0.10 --- this is false
h (27,3)
k = (3/7)^1/3
k = 0.14 --- this is false
Hence, the points on the graph are (0,0) and (1,7)
Read more about volumes at:
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and
8. A rhombus has an area of 28 square inches.
The length of each side is increased to twice its
original length, and the height is increased to
twice its original length. What is the area of
the larger rhombus?
Answer:
the area of the rhombus is 56 square inches
can someone solve this
Answer:
check the image for solution
Step-by-step explanation:
a simple random sample of earthquake depths yields the following:
n=600, x=5.82 km, and s=4.93 km
use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00km
The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region.
Test-Static tData;
mean = 5.82s = 4.93n = 600Let's calculate the t-value
[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } }[/tex]
Substitute the values into the equation and solve;
[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } } \\t = \frac{5.82 - 5}{\frac{4.93}{\sqrt{600} }} \\t = \frac{0.82}{0.201} \\t = 4.079[/tex]
The t-value is 4.079
The allowed significance value = 0.01
The degree of freedom is n -1, which becomes 600 - 1 = 599.
The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.
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HELP ASAP FIRST GET BRAINIEST
!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
just imagine that they are folding and what they would fold into.
this kind of question is a memory test.
Hope this helps!
Brainliest please!
Please fully rate!
Have a great day!
can someone help me solve this?
Answer:
[tex]\dfrac{7\pi}{18}[/tex]
Step by step explanation:
[tex]70^{\circ}=\dfrac{70\pi}{180}~~\text{radians}=\dfrac{7\pi}{18}~~\text{radians}[/tex]
HELP PLEASEEEEEEEEEWEEEEEEEE
Answer:
x = 27° , <EAF = 27°
Step-by-step explanation:
63° + x° = 90°
x = 27°
63° + <EAF = 90°
<EAF = 27°
Find the exact perimeter of quadrilateral ABCD plotted below. A(-3, 2) B(6,–2) D(0, –6) C(3,-6)
Answer:
See below ~
Step-by-step explanation:
Distance Formula
D = √(x₂ - x₁)² + (y₂ - y₁)²Finding the side lengths
AB = √(6 + 3)² + (-2 - 2)² = √81 + 16 = √97BC = √(3 - 6)² + (-6 + 2)² = √9 + 16 = √25 = 5CD = √(3 - 0)² + (-6 + 6)² = √9 = 3DA = √(0 + 3)² + (-6 - 2)² = √9 + 64 = √73Perimeter
AB + BC + CD + DA√97 + 5 + 3 + √738 + √97 + √73 units [radical form]8 + 9.85 + 8.5426.39 units (decimal form)A swimming pool is in the shape of a cylinder 7 feet deep and 9 feet in radius. Find the exact volume of the pool.
Answer:
16
Step-by-step explanation:
Hope this helps
What is the slope of a line perpendicular to the line whose equation is
3x – 3y = 63. Fully simplify your answer.
A store sold 200 cell phone covers in April. The circle graph shows the
percent of each color sold in that month. How many more black covers
were sold than blue covers?
Answer:
24
Step-by-step explanation:
Given
Total is 200
From the attachment, we have:
Required
Black- 35%
Blue-23%
How many more of black than blue were sold
First, calculate the difference in percentage sold
Multiply by the total phones sold;
Hence, 24 more blacks were sold than blue
Hope this helps
Brainliest appreciated :)
Answer:
The answer is 24
Step-by-step explanation:
The total amount of phone covers were 200.
35% of those were black. So, 200 x 35% (or 200 x .35) = 70.
70 of the phone covers sold were black.
23% of the covers were blue. So, 200 x 23% (or 200 x .23) = 46
46 of the phone covers sold were blue.
How many more black covers sold than blue covers means we subtract.
70 black covers - 46 blue covers = 24 more black covers sold.
Which expression represents y to the 4th power -36 in simplest factored form?
Answer:
(y^2 + 6)(y^2 - 6)
Step-by-step explanation:
First, substite variable x for y^2:
FOR x = y^2:
y^4 - 36
= (y^2)(y^2) - 36
= (x)(x) - 36
= x^2 - 36
Now, use the formula a^2 - b^2 = (a + b)(a - b):
x^2 - 36
= x^2 - 6^2
= (x + 6)(x - 6)
Finally, since the expression is factored for x, not y, substite y^2 in for x:
(x + 6)(x - 6)
= (y^2 + 6)(y^2 - 6)
[tex]= (y^2 + 6)(y^2 - 6)[/tex]
PLEASE HELP PLEASE HELPP
Answer:
B
Step-by-step explanation:
Coordinates are (x,y) so just look at the table on how the x-value compares.
Answer:
answer is B
pls give me branlist
A function of x containing four ordered pairs of
the form (x, y) is shown below.
{(2,0),(4,0), (6,0), (8,0)}
What is the domain of the function?
Answer:
{2, 4, 6, 8}
Step-by-step explanation:
The domain refers to all the possible x values of a function.
Our ordered pairs :
(2,0)(4, 0)(6, 0)(8, 0)As they are in the form (x, y), the domain is :
⇒ {2, 4, 6, 8}
You are the head seamstress at a boutique that specializes in making prom dresses. You are supervising the construction of a new style of dress that will take 180 hours of work to complete. Twenty percent of this time is for beading. Thirty-five percent of this time is for adding ruffles. The remaining time is divided equally between embroidery and sewing. When pricing this style, hourly labor and material costs are $40 for beading, $35 for ruffles, $20 for embroidery, and $18 for sewing. The dress is then sold in the showroom for 25% more than the cost of labor and materials. How much will this dress sell for in the boutique?
The amount at which the dress will sell for in the boutique is $6716.25.
What is the sellig price of the dress?The total cost of beading = 180 x 25% x $40 = $1800
The total cost of ruffles = 35% x 180 x $35 = 2205
Time left for making embroidery and sewing = (100% - 35% - 25%)/2 = 20%
The total cost of embroidery = 20% x 180 x $20 = $720
The total cost of sewing = 20% x 180 x $18 = $648
Total cost = 5373
Selling price = 1.25 x 5373 = $6716.25
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Video One, a Blu-ray disc player manufacture, produces two model of Blu-ray players. The mini-blue,
which can only play a Blu-ray disc and the media-blue that plays Blu-ray disc and contains a
personal DVR. The players are assembled on two different assembly lines. Line 1 can assemble 2
units of the mini-blue model and 12 units of the media-blue model per hours, and Line 2 can
assemble 5 units of the mini-blue model and 5 units of the media-blue model per hours. The
company needs to produce at least 20 units of the mini-blue model and 70 units of the media-blue
model to fill an order.
Let x = the number of hours for Line 1
Let y = the number of hours for Line 2.
Write the system of inequalities that represents the minimum number of Blu-ray disc player that
need to be produced to fill the order.
Answer:
This question is very big, you should shorten your question a bit so that I can answer it quickly, the rest is just that I did not understand the question a bit
The area of a circle is 9π m². What is the circumference, in meters? Express answer in terms of π
Answer:
20.25 pi
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
9 pi = 2 * pi *r
Divide each side by 2pi
9pi / 2 pi = 2 pi r / 2 pi
4.5 = r
Now we can find area
A = pi r^2
= pi ( 4.5)^2
20.25 pi
What is the mode of the data represented in this line plot?
Enter your answer in the box.
Answer:
3
Step-by-step explanation:
The mode is 3 because it is the most commonly repeating number in the data set.
The mode of the data represented in this line plot is 3
How to determine the mode?From the line plot, we have the following frequency table
Data Frequency
1 2
2 3
3 4
4 3
In the above frequency table, the entry 3 has the highest frequency of 4
Hence. the mode of the data is 3
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Which expression is equivalent?
Answer:
The Third one.
Step-by-step explanation:
So, Turn the mixed number, 2 1/4, to an improper fraction, 9/4. Then match the answer!
If you need anything else, just message me!
Have a nice day! :)
A coordinate plane with 3 points plotted at (10, 18), (14, 24), and (18, 30).
Which statement describes the function through the points?
Answer:
They are all even
Step-by-step explanation:
In a Right Triangle, if the measurement for the base (B) equals a negative 6 and the hypotenuse equals (C) equals 12, then what is the value of the side (A)?
For questions 4 – 6, name all of the radii of the circle shown in the figure.
For questions 7 – 10, find the measure of the radius of the circle. 7. 8.
For questions 4 – 6, name all of the radii of the circle shown in the figure.
For questions 7 – 10, find the measure of the radius of the circle. 7. 8.
Answer:
center(-2,5) r=6
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Answer:
152 sq in
Step-by-step explanation:
Surface area just means to find the area of all of the sides of a shape. This triangular prism has been flattened so you can see both bases (triangles) and all three lateral sides (rectangles)
Area of a triangle is:
A = 1/2 b•h
= 1/2 •8•4
= 16
There are 2 of these triangles.
A_bases = 32
Then there are 3 rectangle sides, area of a rectangle is:
A = l × w (or b•h)
6 × 5 = 30
6 × 8 = 48
6 × 7 = 42
Add up all the areas.
32 + 30 + 48 + 42
Total surface area is:
A = 152 sq in
Answer:
152
Step-by-step explanation:
how i do this? help pls
4 + (x + y) = (4 + x) + y =
what are the properties?
Answer:
Distributive
Step-by-step explanation:
1.Find the perimeter of the polygon with the given vertices
D(-3, 2), E(4,2), F(4, -3)
Answer:
perimeter = 12 + √74
area = 17.5
Step-by-step explanation:
See the drawing below.
This is a right triangle.
The legs have lengths 5 and 7.
We can find the length of the hypotenuse using the Pythagorean Theorem.
5² + 7² = e²
e² = 74
e = √74
perimeter = 5 + 7 + √74
perimeter = 12 + √74
area = bh/2
area = 5 × 7/2
area = 17.5
What is the volume of the prism?
Answer:
[tex]the \: volume \: of \: a \: rectangular \: prism \: is \\ l \times w \times h \\ in \: this \: graph \: \\ l = 2 \frac{1}{4} \\ w = 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: h = 4 \\ 2 \frac{1}{4} \times 2 \times 4 \\ 4 \frac{1}{2} \times 4 = 18 \\ the \: volume \: is \: 18 {in}^{3} [/tex]