Answer:
6.25 years
(6 years 3 months)
Step-by-step explanation:
Simple interest formula
A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
A = $1,500P = $1,000r = 8% = 0.08Substitute given values into the formula and solve for t:
⇒ 1500 = 1000(1 + 0.08t)
⇒ 1500 = 1000 + 80t
⇒ 500 = 80t
⇒ t = 6.25 years
Out-of-pocket spending in a country for health care increased between 2003 and 2008. The function f(x) = 2573e^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 $2783 per household.
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.
Which correctly compares the numbers?
518,317 > 518,246 > 518,197
678,200 > 678,194 > 678,227
290,061 > 289,937 > 290,324
158,364 > 158,379 > 158,397
Answer:
518,317 > 518,246 > 518,197
the 3 sides of triangle are n, 4n + 1 , 5n- 8. if the perimeter of the triangle is 93 cm, what is the length of each side?
Answer:
10, 41, 42
Step-by-step explanation:
(n)+(4n+1)+(5n-8)=93 because triangle perimeter
10n-7=93
10n=100
n=10
Answer: 10 cm, 41 cm, and 42 cm
Step-by-step explanation:
We can set up an equation knowing the perimeter to solve for the lengths of each side. Then, we will plug the value of n into the different expressions that represent each side.
Perimeter of a triangle:
P = side a + side b + side c
Plug in our known values:
93 cm = (n) + (4n + 1) + (5n - 8)
Simplify and combine like terms:
93 cm = n + 4n + 1 + 5n - 8
93 cm = n + 4n + 5n + 1 - 8
93 cm = 10n -7
Add 7 to both sides of the equation:
100 cm = 10n
Divide both sides of the equation by 10:
10 cm = n
n = 10 cm
-
Solve for the lengths of each side:
n = 10 cm
4n + 1 = 4(10) + 1 = 40 + 1 = 41 cm
5n - 8 = 5(10) - 8 = 50 - 8 = 42 cm
Find the constant rate of change for each graph.
Answer:
i believe the rate of change is 1/1 or just 1.
there is also 1 graph only?
Subtract the sum of -1000 and 848 from 590
Answer:
742
Step-by-step explanation:
the sum of -1000 and 848
= -1000+848
= -152
Subtract the sum of -1000 and 848 from 590
= 590-(-152)
= 590+152
= 742
(n-1 +7) simplify plssss helppp
Answer: n+6
-1 + 7 = 6
So therefore, the answer is n+6
Hope this helped
Answer:
[tex]\boxed{\sf{n+6}}[/tex]Step-by-step explanation:
To solve this problem, first, you have to do is isolate it on one side of the equation.
(n-1+7)First, remove parentheses.
→ n-1+7
Add the numbers from left to right.
→ -1+7=6
→ n+6
Therefore, the final answer is n+6.I hope this helps you! Let me know if my answer is wrong or not.
the values in a data set r 15,7,11,12,6,3,10, and 6. where would u draw the box in a
Answer:
8.5
put numbers least to greatest and find the median by crossing numbers out front from back.
What is the mean of the data set? 66, 71, 75, 83, 88, 89, 90, 91
A. 88
B. 85.5
C. 80
D. 81.625
Answer: D
Answer:
D
Step-by-step explanation:
Mai received and spent money in the following ways last month. For each example, write a signed number to represent the change in money from her perspective.
1. Her grandmother gave her $25 in a birthday card.
2. She earned $14 dollars babysitting.
3. She spent $10 on a ticket to the concert.
4. She donated $3 to a local charity.
5. She got $2 interest on money that was in her savings account.
The signed numbers that represent a change in money from her perspective is:
+$25
+$14
-$10
-$3
+$2
What are the signs to put in front of the amounts?When a person receives money, earns interst or his paid wages, the amount of money the person has increases. Thus, the sign to be used is the addition sign(+).
When a person pays for an item, donates to charity or loses money, the amount of money the person has reduces. Thus, the sign to be used is the subtraction sign (-).
To learn more about addition, please check: https://brainly.com/question/349488
Find the sum of the integers between 23 and 47.
Answer:
70
Step-by-step explanation:
23+47
Why Is HDL called the "good cholesterol"?
A. It widens the arteries
B. None apply
C. It returns cholesterol to the liver to be broken down
D. It bring cholesterol to the lungs to be broken down
Answer:
b
Step-by-step explanation:
It helps remove any forms of cholesterol from your blood strem.
Im supper sorry if i do not get it...
y=x^2+x+5 How many x-intercepts does the graph of this quadratic have?
Answer:
0
Step-by-step explanation:
Use discramint formula,
[tex] \sqrt{ {b}^{2} - 4ac} [/tex]
Here a and b is 1
c is 5 so we have
[tex] \sqrt{ {1}^{2} - 4(1)(5) } [/tex]
[tex] \sqrt{1 - 20} [/tex]
[tex] \sqrt{ - 19} [/tex]
Since the number is negative, we have zero x intercepts.
The expression below is a sum of cubes.
64x^3 + 125
A. True
B. False
Answer:
A True
Step-by-step explanation:
[tex]4^{3} x ^{3} + 5^{3} [/tex]
Using proportions to solve for missing sides.
RST~YSZ, find YZ.
Answer:
YZ = 28
Step-by-step explanation:
A proportion involving the known and unknown sides is ...
TR/ST = ZY/SZ
__
This proportion uses SZ, which is not shown on the diagram. The length of SZ can be found from ...
SZ +ZT = ST . . . . . . . segment sum theorem
SZ + 5 = 40 . . . . with given values
SZ = 35 . . . . . subtract 5
__
So, the proportion with values filled in is ...
(3x -7)/40 = (2x +2)/35
7(3x -7) = 8(2x +2) . . . . . . . multiply by 280
21x -49 = 16x +16 . . . . . . . eliminate parentheses
5x = 65 . . . . . . . . . . add 49 -16x
x = 13 . . . . . . . . divide by 5
YZ = 2x +2 = 2(13) +2
YZ = 28
_____
Additional comment
RT = 3x -7 = 3(13) -7 = 32
Solve
2(2x + 1) = 3(x - 4)
Step-by-step explanation:
2(2x + 1) = 3(x - 4)
4x+2=3x-12
4x-3x=--12-2
x=14
8. Identify the point corresponding to P.
Answer:
So I might not be understanding, but P is at (-4,0) and Q is at (-1,-3)
Help! Surface area!!!
Answer:
6656 cm²
Step-by-step explanation:
6656 cm² is the required answer
What is the area, in square feet, of the rectangle shown below
Answer:
Step-by-step explanation I can answer if you pin in the pic below
5, 5, 9, 11, 13
Mean:
Median:
Range:
Answer:
The median is 9
The Range is 13-5=8
The mean is 5+5+9+11+13/5=43/5=8 3/5=8.6
Find the surface area of the pyramid. DO THIS AS QUICK AS POSSIBLE
Explanation:
How many surface has a pyramid?
5 Faces
It has 5 Faces. The 4 Side Faces are Triangles. The Base is a Square.
De 17 estudiantes 4 hablan frances, si se seleccionan 3, ¿cuál es la probabilidad de que ninguna habla frances?
Esta es una cuestión de probabilidad condicional, y la resolución podría ser la siguiente:
Estudiantes seleccionados ÷ ninguno habla francés3 / (17 - 4) = 3/13¿Qué es la probabilidad condicional?Corresponde a un concepto matemático que involucra la probabilidad de que ocurran dos eventos, es decir, la probabilidad de que ocurra el evento A, sabiendo que el evento B ya ocurrió.
Por lo tanto, la probabilidad de que ningún estudiante hable francés es 3/13 o 23%.
Encuentre más información sobre la probabilidad condicional aquí:
https://brainly.com/question/18735028
In January 2011 the rate of VAT increased from 17.5% to 20%.
Work out the difference in price of a car worth £17000 + VAT
due to the increase in VAT.
Answer: Attributed to the increase in VAT, the change in cost of a car worth RS 15000+VAT is Rs 375.
Step-by-step explanation:
In which step was the subtraction property of equality applied?
Answer:
step 1 is the answer
if you like my answer please like comment and mark me as brilliant
Answer:
D - The subtraction property of equality was not applied to solve this equation
Step-by-step explanation:
I got it right on the test
Explanation - they added 7 to both sides, so there was no subtraction property used
Emily wants to put trim around a square window and measures 3 ft on each side. How many feet of t r i m does she need?
Answer:
12 feet
Step-by-step explanation:
3 times 4 is 12
you would multiply by 4 because of the 4 sides of the window
Help with all questions in pictures please
Just put the answers please (ex: 1A 2C 3B. etc)
For question number 7 where it says (Which of the following images represents the polar graph of r = 4cos 2θ?) only two of the graphs are shown please if you can include a graph of the correct answer *70Points*
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
Convert point Q to polar coordinates (accounting for correct direction):
[tex]\displaystyle r=\sqrt{x^2+y^2}=\sqrt{(-5)^2+(-5\sqrt{3})^2}=\sqrt{25+75}=\sqrt{100}=10\\\\\theta=\tan^{-1}\biggr(\frac{-5\sqrt{3}}{-5}\biggr)=\tan^{-1}\bigr(\sqrt{3}\bigr)=\frac{4\pi}{3}[/tex]
Thus, the answer is [tex]\displaystyle \biggr(10,\frac{4\pi}{3}\biggr)[/tex], or A
Problem 2
Make polar substitutions:
[tex]x^2+y^2-2x+8y=0\\\\r^2-2r\cos\theta+8r\sin\theta=0\\\\r^2=2r\cos\theta-8r\sin\theta\\\\r=2\cos\theta-8\sin\theta\\\\r=-8\sin\theta+2\cos\theta[/tex]
Hence, the answer is C
Problem 3
Eliminate the parameter:
[tex]x=t+3\\x-3=t\\\\y=t^2+2t\\y=(x-3)^2+2(x-3)\\y=x^2-6x+9+2x-6\\y=x^2-4x+3[/tex]
Hence, the answer is C
Problem 4
Identify [tex]z_1[/tex] and [tex]z_2[/tex] and add the complex numbers:
[tex]z_1+z_2=(-3+5i)+(-5-2i)=-3+5i-5-2i=-8+3i[/tex]
Thus, the correct answer is S
Problem 5
Use the formula for multiplying complex numbers in polar form:
[tex]z_1z_2=r_1r_2(\cos(\theta_1+\theta_2)+i\sin(\theta_1+\theta_2))\\z_1z_2=(5)(15)(\cos(240^\circ+135^\circ)+i\sin(240^\circ+135^\circ))\\z_1z_2=75(\cos375^\circ+i\sin375^\circ)\\z_1z_2=75(\cos15^\circ+i\sin15^\circ)[/tex]
Hence, the answer is A
Problem 6
Determine when the ball first hits the ground:
[tex]y=-\frac{1}{2}gt^2+(v\sin\theta)t+y_0\\0=-\frac{1}{2}(32)t^2+(58\sin19^\circ)t+1.9\\0=-16t^2+(58\sin19^\circ)t+1.9\\t\approx1.273[/tex]
Determine the horizontal distance covered by the ball:
[tex]x=(v\cos\theta)t\\x=(58\cos19^\circ)(1.273)\\x\approx69.811[/tex]
Hence, the best answer is C
Problem 7
The equation is in the form of [tex]r=a\cos(n\theta)[/tex] where [tex]a[/tex] is the length of each petal and the curve has a horizontal pole. If [tex]n[/tex] is odd, then there are [tex]n[/tex] petals, but if [tex]n[/tex] is even, then there are [tex]2n[/tex] petals.
From our given equation, there are clearly 4 petals since [tex]n[/tex] is even, and each petal length is 4 units. Hence, the first graph is correct.
Given the functions f(x) = –4x + 5 and g(x) = x3 + x2 – 4x + 5, what type of functions are f(x) and g(x)? Justify your answer. What key feature(s) do f(x) and g(x) have in common? (Consider domain, range, x-intercepts, and y-intercepts.)
The f(x) has a degree of 1, hence it is linear in nature while g(x) is a polynomial function because of the third degree.
The key features that they have in common are the y-intercept, domain, and range
Linear and quadratic equationsLinear equations are equations that has a degree of 1 while polynomial equations are equations that has a degree of 2 and above.
Given the following functions
f(x) = –4x + 5 and;
g(x) = x^3 + x^2 – 4x + 5
Since the f(x) has a degree of 1, hence it is linear in nature while g(x) is a polynomial function because of the third degree.
The key features that they have in common are the y-intercept, domain and range
Learn more on functions here: https://brainly.com/question/25638609
solve for x [tex]\sqrt7x-2=5[/tex]
Answer:
x=7
Step-by-step explanation:
1, Add 2 to both sides. This gives us [tex]\sqrt{7x} =7[/tex]
2. Square both sides. This gives us [tex]7x=49[/tex]
3. Divide both sides by 7. This gives us [tex]x=7[/tex]
Review the table on page 3 comparing in-network and out-of-network costs under the Standard Plan. Which statement is TRUE? Insurance plans encourage the use of out-of-network doctors by offering lower costs on most services they perform. Insurance plans encourage the use of out-of-network doctors by offering lower costs on most services they perform. Insurance plans encourage the use of in-network doctors by offering lower costs on most services they perform. Insurance plans encourage the use of in-network doctors by offering lower costs on most services they perform. The costs for in-network and out-of-network doctors are the same for ALL services they offer. The costs for in-network and out-of-network doctors are the same for ALL services they offer. Office visits, immunizations and annual physicals have the same costs for both in-network and out-of-network doctors.
The true statement is that most insurance plans encourage the use of In-Network doctors by offering lower costs on most services they perform.
What is the meaning of Health Maintenance Organization?An HMO is regarded as an acronym that is used for “Health Maintenance Organization”. It is know to be companies that has been given the power to solely to manage the provision of health care services to the people.
The use of the in-network option is one that tends to save money. The Providers in your network are known to have a form of agreements with your insurance company that tends to make one to save money.
Lean more about insurance plans from
https://brainly.com/question/1941778
Answer: B-Insurance plans encourage the use of in-network doctors by offering lower costs on most services they perform.
The clients who get haircuts at Cameron's salon have a variety of hair colors.
brown 7
black 7
blond 4
4
What is the experimental probability that the next client to get a haircut Cameron's salon will
have blond hair?
Write your answer as a fraction or whole number.
P(blond)
Using it's concept, it is found that there is a [tex]\frac{2}{9}[/tex] experimental probability that the next client to get a haircut Cameron's salon will have blond hair.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For an experimental probability, these number of outcomes are taken from previous trials.
In this problem, 4 out of 18 clients had blond hair, hence the probability is given by:
P(blond) = 4/18 = 2/9
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
A conference consists of 5 sessions: A, B, C, D, and E. Here are the costs of the sessions.
Session A: $50
Session B: $50
Session C: $100
Session D: $150
Session E: $200
Here is a graph of the cost of all 5 sessions.
A dotplot titled Graph A. A number line labeled session cost (dollars) goes from 40 to 200. 50, 2; 100, 1; 150, 1; 200, 1.
A participant plans to attend 3 sessions. Here is a list of all possible samples of size 3 sessions from this population of 5 sessions: ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, and CDE.
Here is a graph displaying the minimum session cost for each possible sample of 3 sessions.
A dotplot titled Graph B. A number line labeled sample minimum session cost (dollars) goes from 50 to 100. 50, 9; 100, 1.
The participant chooses 3 sessions at random from the list of all 5 sessions. The result of the random selection is sessions B, D, and E.
Here is a graph displaying the distribution of session cost for this sample.
A dotplot titled Graph C. A number line labeled session cost (dollars) goes from 40 to 200. 50, 1; 140, 1; 200, 1.
Which of the following gives the correct order of the graphs of the population distribution, distribution of a single sample, and sampling distribution, respectively?
C, A, B
B, C, A
A, B, C
A, C, B
Answer:
A, C, B
Step-by-step explanation:
Took the test on EDG
Answer:
The answer is D
Step-by-step explanation: