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

Solve and graph -4<-1-4x<-1

Answers

Answer:

x<3/4 and x>0

for graphs, refer to the images attached.

Step-by-step explanation:

-1-4x > -4 AND -1-4x <-1

-1-4x >-4-4x > -3x < 3/4

-1-4x<-1-4x<0x>0

I need help with part 2 please

Answers

Answer:

$65

Step-by-step explanation:

So we already determined that the total cost C to drive m miles is:

[tex]C=0.25m+40[/tex]

And we want to find the total cost of driving 100 miles.

So, substitute 100 for m and solve for C:

[tex]C=0.25(100)+40[/tex]

Multiply:

[tex]C=25+40[/tex]

Add:

[tex]C=\$ 65[/tex]

Therefore, it will cost $65 to drive 100 miles.

What part of 15 is 10?

Answers

Answer:

2/3

Step-by-step explanation:

10/15=2/3

The 10 is 2/3 part of 15 by dividing common factor that is 5.

What is simplest form ?

In mathematics, the simplest form is the fraction that has the smallest equivalent value.

Here, the given fraction is :

10/15 which when converting to smallest equivalent value by dividing common factor that is 5 :

10/15 = 2/3

Therefore, the 10 is 2/3 part of 15.

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c=200x+1,600

solve for x

Answers

Answer:

[tex] \huge \: \orange { \boxed{x = \frac{c}{200} - 8 }}[/tex]

Step-by-step explanation:

[tex] \huge \: c = 200x + 1600 \\ \\ \huge \:c - 1600 = 200x \\ \\ \huge \:\frac{c - 1600}{200} = x \\ \\ \huge \: \frac{c}{200} - \frac{1600}{200} = x \\ \\ \huge \:\frac{c}{200} - 8 = x \\ \\ \huge \: \red{ \boxed{x = \frac{c}{200} - 8 }}[/tex]

***ECONOMINCS*** Which statement best summarizes the role of households in the flow of
goods?
A. Households sell products created in product markets.
B. Households provide natural resources to businesses.
C. Households trade goods between product and resource markets.
D.Households act as consumers for goods made by businesses.

Answers

The final customers of a companies' products and services are the households. They generate demand in the market dependent on their preferences, and further discussion can be defined as follows:

As per the market demand, the businesses manufactured and provided items in the market and the nation's production line is determined by its families.Households consume the commodities supplied by the companies in a circular flow diagram.It could contribute land for the production of goods, or it may offer itself as the source of employment.It also provides capital, which would be a monetary type of investment that enables businesses to generate consumer products.

Therefore, the final answer is "Choice D"

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Answer:

D.Households act as consumers for goods made by businesses.

Step-by-step explanation:

3s – 12 = -21
Solve for s

Answers

Answer:

S= -3

Step-by-step explanation:

3s-12=-21

3s= -21+12

3s= -9

s= -9/3

s= -3

Answer:

s = -3

Step-by-step explanation:

[tex]3s - 12 = - 21[/tex]

Collect like terms

[tex]3s = - 21 + 12[/tex]

Add the numbers :

[tex] - 21 + 12 = - 9 \\ \\ 3s = - 9[/tex]

Divide both sides of the equation by 3

[tex] \frac{3s}{3} = \frac{ - 9}{3} [/tex]

Simplify

[tex]s = - 3[/tex]

Which of the following is equivalent to 15.45 + ( − 98.25 ) 15.45+(-98.25)

Answers

Answer:

-82.8

Step-by-step explanation:

15.45 + ( − 98.25)

15.45 - 98.25

= -82.8

Since the two terms are of opposite signs, you have to subtract and use the sign of the greater term (positive or negative)

Solve
- 2 + 3x + 24 = x

Answers

Answer:

x=-1

Step-by-step explanation:

thank me later it correct did the workhope this works

Point N is on line segment M O ‾ MO . Given M O = 12 MO=12 and M N = 5 , MN=5, determine the length N O ‾ . NO .

Answers

Answer: NO = 7

Step-by-step explanation:

If the total length of MO is 12, and one segment, MN, is 5, the other segment, NO, must have a length so that they add up to 12.

MN + NO = MO

5 + 7 = 12

M_____ N+ N_______O= M____________O

Which is bigger 6.8" or 6.52"

Answers

Answer:

6.8 is bigger than 6.52

6.8 is bigger than 6.52

6.4n-1.2+3n+8.2=19.22

What number would make the statement true

Answers

Answer:

Step-by-step explanation:

6.4n - 1.2 + 3n + 8.2 = 19.22

So we can separate the variable side on the left, and the whole numbers on the right.

6.4n + 3n = 19.22 - 8.2 + 1.2

which gives us,

9.4n = 12.22

n = 1.3

can ratios be thought of as fractions?

Answers

Yes
We can
Hence it’s true!
Totally it could be proper or improper fractions to

Find an equation for the line with the given properties. Express the equation in slope-intercept form.
Slope = 3; containing the point (5,-4)
What is the equation of the line?
y =

Answers

Answer:

y = 3x - 19

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define variables

Slope m = 3

Random point (5, -4)

Step 2: Plug in known variables

y = 3x + b

Step 3: Find b

-4 = 3(5) + b

-4 = 15 + b

b = -19

Step 4: Write linear equation

y = 3x - 19

Help please this is math

Answers

irrational and intergers

10. Use Structure What could be a first step to
solving the equation 3x + -0.5(x + 3) + 4 = 14?
Explain.

Answers

First distribute -0.5 to x and 3 giving you the new equation 3x + -0.5x-1.5

2x = 8
X - 3 = 5
5x + 2 = 12
7x + 4 = 25
3x + 1 = 5x – 13
3 (2x + 1) = 2x + 11
3 (2x - 6) = 2 (2x- 1)
2 (x + 3) - 3(2x - 5) =x​

Answers

Step-by-step explanation:

2x=8

x=8÷2

x=4

x=5+3

×=8

I think you wrote the answer and the final step is x=4

What is the solution of the equation 16-17+ Vb=1?
b = 3
O b = 9
O b = 81
no solution

Answers

B=3 is the correct answer

Jeff bought 10 cookies and ate 4 of them. He ate ____% of the cookies. (Make sure to enter the answer using numbers only. Do not enter special characters such as the percent symbol.)

Answers

Answer:

40 percent

Step-by-step explanation:

4/10=40/100=40 percent

he ate 40% of the cookies. you would set this up by putting 4 (the # of cookies that he ate) on top of 10 (the total # of cookies.) by doing this, just divide 4 by 10, which equals .40. move the decimal two places to the right, which will give you a final answer of 40%

Set V is all the unique three-digit numbers using the digits 1, 2, 3, 4, and 5. Which set would be considered a subset of set V? Set W is all the unique three-digit numbers using the digits 1, 3, and 5. Set X is all the unique three-digit numbers using the digits 2, 4, and 6. Set Y is all the unique three-digit numbers using the digits 0, 2, and 4. Set Z is all the unique three-digit numbers using the digits 3, 5, and 7.

Answers

Answer: Choice A) Set W is all the unique three-digit numbers using the digits 1, 3, and 5

==========================================================

Explanation:

The original set uses the digits {1,2,3,4,5}. We can only use those digits. Nothing else. So that means we can't use 0, 2, 4, 6, or 7. This rules out choices B through D.

Only choice A is left. This answer choice involves 1,3 and 5 which is the correct subset of digits to use.

--------

Put another way, if set B was a subset of set A, then everything in B must also be found in A. Having B = {2,4,6} and A = {1,2,3,4,5} shows B is not a subset of A. We see a counter example has 6 in B, but not in set A.

This allows us to rule out choice B. Similar ideas apply to the answer choices C and D as well.

Answer:

A

Step-by-step explanation:

ed2020

Is 3.14596387 a rational number?

Answers

no it is an irrational number

Marcus collected 5 fewer rocks than esha How many rocks did Marcus collect if esha collected 22 rocks?

Answers

Answer:

17

Step-by-step explanation:

Answer:

22-5=17 the answer is 17

To address a falling GDP, a government may:

A. raise interest rates to allow businesses to borrow more money.

B. reduce the amount of money it puts into circulation.

C. invest in programs in order to help people in need.

D. lower interest rates to allow businesses to borrow more money.​

Answers

Answer: D. Lower interest rates to allow businesses to borrow more money

Step-by-step explanation:

just took the test

To address a falling GDP, a government may lower interest rates to allow businesses to borrow more money.​ The correct option is A.

What is GDP?

Real GDP (short for real GDP) is a macroeconomic measure of the value of economic output adjusted for price changes. This adjustment transforms the money-value measure, nominal GDP, into an index for the quantity of total output.

It is computed using the prices of a given base year. To calculate Real GDP, you must first determine how much GDP has been changed by inflation since the base year and then divide that amount by the number of years.

A government may lower interest rates to allow businesses to borrow more money in order to address a falling GDP.

To know more about GDP follow

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Which is the correct option?(attached)

Answers

Answer:

I believe it's D

Step-by-step explanation:

The answer would be d

Are All integers are in the set of real numbers.

Answers

if ur asking are all integers real number then yes they are. real number are anything u can put on a number line. things such as square roots or pie are NOT real number or “Rational”

I NEED HELP ANSWER ASAP. I NEED SOMEONE WHO CAN I HELP ME WITH MY OTHER QUESTIONS

Answers

Answer:

3,0

Step-by-step explanation:

hopefully this helps you

pls mark brainlest if it is correct

2. Select all ratios that are equivalent to 3:18.
21:126
6:36
1:6
1:18
15
21

Answers

Answer:

21:126

6:36

1:6

Step-by-step explanation:

what is -66 2/3 - 24 1/8 + -78 3/4

Answers

Answer:

-169.541667

Step-by-step explanation:

Answer:

Step-by-step explanation:

i belive your asnwer would be -257/24 but what are u trying to find?  

Solve the equation 1/4(x+2)+5=-x

Answers

Answer: Exact Form:

x=−225

Decimal Form:

x=−4.4

Mixed Number Form:

x=−4/25

Step-by-step explanation:

1) Simplify x3 x4 using the product of powers property.
Les

Answers

Answer:

Step-by-step explanation

[tex]a^{m} * a^{n} = a^{m+n}\\\\x^{3}*x^{4} = x^{3+4} = x^{7}[/tex]

In product of powers, if base is same, just add the powers

Which of the following trinomials could represent the product (x + m)(x + n) if m = 5 and n = -7? A x2 + 2x - 35 B x2 - 12x - 35 Cx2 + 35x + 2 D x2 - 2x - 35

Answers

Hey there! I'm happy to help!

Let's plug in these values.

(x+5)(x-7)

We use the FOIL method to multiply the two.

We multiply the Firsts.

x·x=x²

We multiply the Outsides.

-7·x=-7x

We multiply the Insides.

5·x=5x

And we multiply the Lasts.

-7·5=-35

We combine these all.

x²-7x+5x-35

x²-2x-35

Have a wonderful day! :D

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