The projected number of people aged 65 and over in the U.S. population with Alzheimer's disease (in millions) is given byP(t) = −0.0002083t 3 + 0.0157t 2 – 0.093t + 5.2 (4 ≤ t ≤ 40);Where t is measured in years and t = 4 corresponds to the year 2014. This model does not claim validity for years 2051 and beyond. Nevertheless, the model does suggest that:

Answers

Answer 1

The missing part of the question is;

What is the projected number of people aged 65 and over with Alzheimer's disease in 2030 and in 2050

Answer:

In 2030, P(20) = 7.9536 (in millions)

In 2050, P(40) = 13.2688 (in millions)

Step-by-step explanation:

We are given that;

Number of people aged 65 and over in the U.S. population with Alzheimer's disease (in millions) as;

P(t) = −0.0002083t³ + 0.0157t² – 0.093t + 5.2 (4 ≤ t ≤ 40);

Where t is measured in years and t = 4 corresponds to the year 2014.

Now,

Since t = 4 represents 2014,therefore;

t = 20 would represent population in 2030

Thus in year 2030;

P(20) = −0.0002083(20)³ + 0.0157(20)² – 0.093(20) + 5.2

P(20) = 7.9536 (in millions)

Also, in year 2050, t will correspond to 40 years.

Thus;

P(40) = −0.0002083(40)³ + 0.0157(40)² – 0.093(40) + 5.2

P(40) = 13.2688 (in millions)


Related Questions

Cameron bought a used car for $4,500. He made a down payment of $1,200 and agreed to pay the remaining balance in monthly payments of $300 each.


Which equation can be used to find m, the number of months it will take Cameron to pay off his car? (7.10A)


F 4,500 = 1,200 + 300m
F 4,500 = 1,200 + 300m

G 4,500 = –300 + 1,200m
G 4,500 = –300 + 1,200m

H 4,500 = 300 + 1,200m
H 4,500 = 300 + 1,200m

J 4,500 = 1,200 – 300m
J 4,500 = 1,200 – 300m

Answers

Answer:

[tex]4500 = 1200 + 300m[/tex]

Step-by-step explanation:

Given

[tex]Total = 4500[/tex]

[tex]Base\ Amount = 1200[/tex]

[tex]Payment = 300[/tex] monthly

Required

Write an expression to determine the number of months

The total can be expressed using:

[tex]Total = Base\ Amount +Payment * Number\ of\ months[/tex]

Substitute value for each term

[tex]4500 = 1200 + 300 * m[/tex]

[tex]4500 = 1200 + 300m[/tex]

Hence:

Option F answers the question

Does someone have this kind of problem?

Answers

Answer:

Yes :<

Step-by-step explanation:

Hmm.. maybe f-1 (x) has a y-intercept of (0,-36).

simply: -2 1/3 - (-10 1/6)

Answers

Answer: 7.83

Step-by-step explanation:

Answer:

−8/3≈−2.666666667

Step-by-step explanation:

-2 1/3 - (-10 1/6)

Multiply −2 times 2/1=0.5.

−1−10×( 1/6 )≈−2.666666667

Multiply 10 and 1/6≈0.166666667 to get 10/6≈1.666666667

−1− 10/6 ≈−2.666666667

Reduce the fraction 10/6 ≈1.666666667 to lowest terms by extracting and canceling out 2.

−1−5/3 ≈−2.666666667

Convert −1 to fraction −3/3 =−1.

− 3/3−5/3≈−2.666666667

Since −3/3 =−1 and 5/3 ≈1.666666667 have the same denominator, subtract them by subtracting their numerators.

−3−5/3 ≈−2.666666667

Subtract 5 from −3 to get −8.

-8/3=−2.666666667

Determine whether the following graph represents a function.

A.function
B. Not function

Answers

b i think...

lmk if it's wrong, if it is i'm sooooo sorry!!

:)

Please help me out!!

Answers

Solution:

[tex] {32}^{ \frac{1}{5} } = \sqrt[5]{32} = 2[/tex]

Answer:

2

Answer:

Step-by-step explanation:

Prime factorize 32

32 - 2*2*2*2*2 = 2⁵

[tex]32^{\frac{1}{5}}=(2^{5}})^{\frac{1}{5}}=2^{5*{\frac{1}{5}}}\\\\\\=2[/tex]

Rosalyn paid $55.00 for 4 pizza. Each pizza cost the same amount. What was the cost of each pizza in dollars and cents?

Answers

Answer:

$13.75 is ur answer

Answer:

13.75

Step-by-step explanation:55 divided by 4

Have some points, i have to put in a question anyway to be "Part of The Community"

Answers

Answer:

yay!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

:)

Step-by-step explanation:

thanks! have a nice day!

There are nine water bottles in devins refrigerator.

Answers

my boy wants to stay hydrated and we all know that he's that one kid who screams YESSSIRR at 3;00am because he got one kill on a free game ( fortnite) a dead game btw . but he love the boys he kisses them on the cheek and tuck them in every night and he makes sure they got 9 bottles of water in there refrigerator too. he that one kid at school that gets every new iphone but asks YOU for a PENCIL he that one kid that brags about how his mom bought him the new fortnite skin he the one to call you a bot when he the one who died. but he love the boys tho there bond do be unbreakable.  

  to the boy devin the 9 water bottle drinker, he drink from so many water bottles his head starting to look like a water bottle

Find the general solution of the homogeneous system below. Give your answer as a vector.
x1 + 2x2 - 3x3 = 0
4x1 + 7x2 - 9x3 = 0
-x1 - 3x2 + 6x3 = 0

Answers

Answer:

Step-by-step explanation:

Given the system of homogeneous equations

x1 + 2x2 - 3x3 = 0  ................. 1

4x1 + 7x2 - 9x3 = 0 ................... 2

-x1 - 3x2 + 6x3 = 0..................... 3

First we will reduce the equation to two equations and two unknowns;

add equation 1 and 3;

2x2-3x2 +(-3x3+6x3) = 0

-x2 + 3x3 = 0

x2 = 3x3 .......... 4

Multiply equation 3 by 4 and add to equation 2;

equation 3 * 4 will give;

-4x1 - 12x2 + 24x3 = 0..................... 5

add equation 5 to equation 2;

7x2-12x2-9x3+24x3 = 0

-5x2 - 15x3 = 0 .......... 6

5x2 = 15x3

x2 = 3x3

Let x2 = k

From equation 4;

k = 3x3

x3 = k/3

substitute x2 = k and x3 = k/3 into equation 1 to get x1 in terms of k

From 1, x1 + 2x2 - 3x3 = 0

x1+2k-3(k/3) = 0

x1 +2k-k = 0

x1 +k = 0

x1 = -k

Writing the answer in vector form will give (x1. x2. x3) = (-k, k, k/3)

k(-1, 1, 1/3)

Hence the answer to the system of equation in vector form is k(-1, 1, 1/3) where k is any constant.

Compare the number of stars to the number of circles. If the ratio remains the same, how many stars will there be when there are 15 circles?
There is 4 stars 3 circles

Answers

Answer:

the answer is 20 because if you want to keep the ratio the same, you have to multiply 3 by 5 to get 15 right? and so 4 times 5 is 20. see if it works

Step-by-step explanation:

What is the value of the expression |5x+12| when x=5

Answers

Answer:

|5x+12| when x=5

I5*5=12I

I37I

37

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

X=5

5x=(5×5)=25

25+12=37

Which table corresponds to the graph of the function below?

Answers

Answer:

I belive its the second 1

Step-by-step explanation:

kakalkjslkajslkjslkjalk

Answer: A is the answer

Step-by-step explanation:

If elephant grass grows 2 3/4 inches a day, how many inches will it grow in 6 days?

Answers

16.5 or 16 1/2 all you do is multiply the 2 numbers.
In 1 day, the grass grows 2 3/4 inches or 11/4 inches.
In 6 days, the grass grows (11/4 X 6) inches
= 33/2
= 16 1/2
= 16.5 inches
Ans: The elephant grass grows 16.5 inches in 6 days.

Question 7
2 pts
If you bought something in Wyoming for $54, you would be charged $3.56 in state sales tax. What is the
state sales tax rate in Wyoming?
Insert your answer as a percentage to the tenth WITHOUT the % symbol.
Question 8
2 pts

Answers

Answer:

6.6

Step-by-step explanation:

The way to do this is to find the tax as a decimal. Worry about the 100 later.

54 * x = 3.56

Divide by 54

x = 3.56/54

x = .06593

Now use the 100

0.06592 * 100 = 6.593

But you want it rounded to the 1/10

So you should get 6.6 %

The pizza dough recipe recipe shown makes one batch of dough charlie wants to make a half batch she has 1 cup of flour how much more flour does she need

Answers

There is no pizza recipe shown for me to answer your question.

Which of the following sets of numbers does square root of 49?

Answers

Answer:

7

Step-by-step explanation:

Natural numbers , Real numbers ,Whole numbers ,Integers , Rational numbers

sqrt(49) = 7

So this number is in the set of...

Natural numbersWhole numbersIntegersRational numbersReal numbers

The set of natural numbers is {1,2,3,...} and the set of whole numbers is {0,1,2,3,...}. Basically we just added in 0. Integers will be similar but we now have negative values too {..., -3, -2, -1, 0, 1, 2, 3, ...}

Rational numbers are anything of the form a/b with a,b being integers. In other words, if we can write the number as a fraction of two integers, then we have a rational number. In the case of 7, we have 7 = 7/1, so it is rational.

The set of real numbers includes every number type you have learned of so far (natural, whole, integer, etc). If you haven't learned about imaginary or complex numbers yet, then every number your teacher will go over is a real number.

Which one of these is ordered from greatest to least?


A: -6.5, -4/5, 1/2, 4.25

B: -6.5, 4.25, -4/5, 1/2

C: 4.25, 1/2, -4/5, -6.5

D: 4.25, -4/5, 1/2, -6.5

HELLPPP! ASAPP

Answers

Answer:

the answer would be C :)

round 6893.209 to the nearest whole number

Answers

Answer:

6893

Step-by-step explanation:

Answer:

6893 is the nearest whole number

Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. slope = 7, passing through (1,-3)

Answers

Answer:

Step-by-step explanation:

y + 3 = 7(x - 1)

y + 3 = 7x - 7

y = 7x - 10

Please help!!! I would like an explanation along with your answer. Thanks

Answers

Answer:

(-4, 7)

Step-by-step explanation:

The x and y coordinates of the midpoint are the average of the x and y coordinates of the endpoints.

-1 = (2 + x) / 2

-2 = 2 + x

x = -4

5 = (3 + y) / 2

10 = 3 + y

y = 7

The coordinates of point S are therefore (-4, 7).

Vishal was interested in the relationship between a person's age and their musical preferences. He called all
the numbers listed in his city's telephone directory, and whenever someone answered and agreed to be
surveyed, he asked them for their age and interviewed them about their musical preferences.
Once he was done, he analyzed his results and found that younger people prefer pop and hip-hop music
while older people prefer jazz and classical music.
What type of statistical study did Vishal use?
Choose 1 answer:
Sample study
Experiment
Observational study

Answers

Answer:

Sample study

Step-by-step explanation:

Sample study is a type of statistical study that is done by taking samples from respondents for any research purpose.

In this type of statistical study, a group of people are selected and asked some questions or data collected.

The type of statistical study that Vishal used was Sample Study because he collected data from a group of respondents to arrive at a hypothesis.

Vishal study of relationship between people's age & musical preferences is 'Observational Statistical Study'

Given : Vishal approached all people in city, enquired willing ones about age & musical preferences, & analysed conclusion thereafter.

Vishal used Observational Statistical Study, as :

Sample study denotes - component step of choosing few representatives ie sample units from all ie population units. It is a part of all statistical studies, & not a type of study in itself. Observational Study - involves studying the sample units in natural uncontrolled or un intervened setup , based on the variable/ traits or relationship study needed by nature of study. Experimental Study - involves studying & analysing variables traits or relationships, in manipulated, controlled or artificially treated experiment setup.

Vishal collects sample from his city & studies them as it is, without any artificial intervention. Hence this natural enquiry based study of age & musical preferences is Observational Study

To learn more, refer https://brainly.com/question/10025402?referrer=searchResults

A bookstore had 60 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 3/5 of what remained. How many copies does the bookstore have left?

Answers

Answer: 8 copies

Step-by-step explanation:

1/3 of 60 is 20. 1/5 of 40 is 8. 8x3=24, 40-24=16

Answer is 16
1/3 or 60 is 20 so they sold 20 and had 40 left over 1/5 of 40 is 8 8*3= 24 40-24=16

-56.5 as a mixed number

Answers

Answer:

-56 1/2

Step-by-step explanation:

Answer:

-5.6

Step-by-step explanation:

Solve
5k+6=7 for x

please I need it quick and fast

Answers

move the constant to the right
5k=7-6

calculate
5k=1

solution: k=1/5 or k=0.2

Which choice correctly expresses the number below in the scientific notation?

Answers

i’m pretty sure the answer is D
A) 9.98 x 10^-8 is the answer

On Thursday, a local hamburger shop sold a combined total of 580 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Thursday?

Answers

Answer:

Hey there!

Let h be the number of hamburgers sold.

Let c be the number of cheeseburgers sold.

h+c=580

c=3h

4h=580

h=145

145 hamburgers were sold.

Let me know if this helps :)

What is the decimal form of 92/125 !???

Answers

Answer:

0.736

Step-by-step explanation:

Answer:

0.736

Step-by-step explanation:

decimal form of 92/125

Josiah bought 22 chicken wings for $26.40. How much would it cost for 9 wings?

Answers

Answer:

it would cost $10.8 for 9 chicken wings.

Step-by-step explanation:

Cost of 22 chicken wings = $26.40

we have to find first, cost of 1 chicken wings

For that we divide both side by 22

cost of 22/22 chicken wings = $26.40/22 = 1.2

Thus, cost of 1 chicken wings = $1.2

to fins cost of 9 chicken wings

we multiply both sides by 9

cost of 1*9 chicken wings = $1.2*9

cost of 9 chicken wings = $10.8

Thus, it would cost $10.8 for 9 chicken wings.

the answer to your question is 10.8

Please help quick !!!!!! Simplify 6(x + 4).

Answers

Answer:

6(x + 4)

opening brackets

=6x+24 is the answer

Step-by-step explanation:

In June 2012, Twitter was reporting 400 million tweets per day. Each tweet can consist of up to 140 characters (letter, numbers, etc.). Create a comparison to help understand the amount of tweets in a year by imagining each character was a drop of water and comparing to filling something up

Answers

Assuming each tweet reaches the max of 140, there would be 56 billion drops of water daily. This would equate to 738,681.7 gallons of water or 98,870.4 cubic feet. This amount of drops of water could fill up almost half of the Goodyear blimp
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