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Gemiola [76]
3 years ago
9

MATH PLEASEEE I WILL MARK YOU BRAINLIEST!!

Mathematics
2 answers:
kozerog [31]3 years ago
7 0

Answer:

I believe its the second option.

USPshnik [31]3 years ago
4 0

Answer:

The second

Step-by-step explanation:

is the correct equation

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g The total national health expenditures per capita (in dollars) for 2006 and projected to 2021 can be modeled with the equation
Alex73 [517]

Answer:

a) The predicted per capita health expenditures for 2018 is $11943.5.

b) After 2018, it will take 16 years for the 2018 expenditures to double

Step-by-step explanation:

The total national health expenditures per capita, in dollars, is given by the following equation:

H(t) = 6791e^{0.04343t}

In which t is the number of years after 2005.

a. Find the predicted per capita health expenditures for 2018.

2018 is 13 years after 2005, so this is H(13).

H(t) = 6791e^{0.04343t}

H(13) = 6791e^{0.04343*13}

H(13) = 11943.5

The predicted per capita health expenditures for 2018 is $11943.5.

b. According to the model, how long will it take the 2018 expenditures to double?

First we find how many years after 2005, in which t is found when H(t) = 2*11943.5.

So

H(t) = 6791e^{0.04343t}

2*11943.5 = 6791e^{0.04343t}

e^{0.04343t} = \frac{2*11943.5}{6791}

e^{0.04343t} = 3.5174

Applying ln to both sides

\ln{e^{0.04343t}} = \ln{3.5174}

0.04343t = \ln{3.5174}

t = \frac{\ln{3.5174}}{0.04343}

t = 29

It will take 29 years after 2005 = 29-13 = 16 years after 2018.

After 2018, it will take 16 years for the 2018 expenditures to double

5 0
3 years ago
Y = x + 5<br> y = -2x - 4<br>what are the y and x values please ​
Maksim231197 [3]

Answer:

x=-3, and y=2

Step-by-step explanation:

Since both equations are equal to y, set them equal to each other and solve for x, that way you can solve for y:

x+5=-2x-4

3x+5=-4

3x=-9

x=-3

Plugging in x=-3 into one of the original equations:

y = x + 5

y = -3 + 5

y = 2

Therefore, x=-3 and y=2. You can also write as the ordered pair (-3,2) since that's where the two equations would intercept on a graph.

3 0
3 years ago
Find the savings plan balance after 3 years with an APR of 7​% and monthly payments of ​$150.
Citrus2011 [14]

Answer:

The balance is $5989.5

Step-by-step explanation:

The savings plan balance is given by the following formula:

A = P*\left[\frac{(1 + \frac{APR}{n})^{n*Y} - 1}{\frac{APR}{n}}\right]

In which A is the savings plan balance, P is the monthly payment, APR is the annual percentage rate(decimal), n is the number of payments per year and Y is the number of years.

In this problem, we have that

Find the savings plan balance after 3 years with an APR of 7​% and monthly payments of ​$150.

So we have to find A when P = 150, APR = 0.07, n = 12, Y = 3.

So

A = P*\left[\frac{(1 + \frac{APR}{n})^{n*Y} - 1}{\frac{APR}{n}}\right]

A = 150*\left[\frac{(1 + \frac{0.07}{12})^{12*3} - 1}{\frac{0.07}{12}}\right]

A = 5989.5

The balance is $5989.5

3 0
3 years ago
Find the percent of change from the first value to the second. 20 ; 80
Lemur [1.5K]

Answer:

Percent Change Formula: [(new - old)/old] * 100

Step-by-step explanation:

New - old

80 - 20 = 60

Difference between new - old divided by old

60/20 = 3

Previous quotient times 100

3*100 = 300

Percent Change is 300%

Check your answer

300% of 20 is 60

20 + 60 = 80

8 0
3 years ago
Read 2 more answers
What is 13/24 as a percentage
iogann1982 [59]
<span>the answer is 54.1666666666667% hope this helps 

</span>
3 0
4 years ago
Read 2 more answers
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