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DIA [1.3K]
3 years ago
8

This is the floorplan for an irregular-shaped bedroom. You will need to find the perimeter of the room so that you can install c

rown molding. You will also need to find the area of the room so that you can lay carpeting. Find the perimeter and area of the room.

Mathematics
1 answer:
aksik [14]3 years ago
8 0

Step-by-step explanation:

Below are attachments containing the question and solution.

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For the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled b
dmitriy555 [2]

Answer:

2019.

Step-by-step explanation:

We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by H = 1,500e^{0.053t} where t is the number of years past 2000.

To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute H=4,000 in our given formula and solve for t as:

4,000= 1,500e^{0.053t}

\frac{4,000}{1,500}=\frac{ 1,500e^{0.053t}}{1,500}

\frac{8}{3}=e^{0.053t}

e^{0.053t}=\frac{8}{3}

Take natural log of both sides:

\text{ln}(e^{0.053t})=\text{ln}(\frac{8}{3})

0.053t\cdot \text{ln}(e)=\text{ln}(\frac{8}{3})

0.053t\cdot (1)=0.9808292530117262

\frac{0.053t}{0.053}=\frac{0.9808292530117262}{0.053}

t=18.506212320

So in the 18.5 years after 2000 the expenditure will reach 4 trillion.

2000+18.5=2018.5

Therefore, in year 2019 national health care expenditures are expected to reach $4.0 trillion.

7 0
4 years ago
The number is three digits, the number is even, the tens digit is half the hundreds digit, the sum of the digit is 14 what is th
ser-zykov [4K]

Let x represent the digit in the hundreds place, y represent the digit in the tens place, and z represent the digit in the ones place. What do we know about each digit?

x: twice y (2, 4, 6, or 8)

y: half of x (1, 2, 3, or 4)

z: an even number (0, 2, 4, 6, or 8).

The sume of the digits is 14. So, x + y + z = 14

Choose one of the digits and look at your options (if any).

when x=2, then y = 1, which means z has to be 11 (NOT VALID)

when x=4, then y = 2, which means z has to be 8 (428 works!)

For fun, let's see if any other numbers work:

when x=6, then y = 3, which means z has to be 5 (NOT VALID)

when x=8, then y = 4, which means z has to be 2 (842 works!)

Answer: 428 and 842 both work



5 0
3 years ago
6 football teams enter a five a side tournament how many players are in the tournament
irakobra [83]
There are 30 players in the tournament
7 0
3 years ago
<5 and <6 are complementary angles m<5=13 what is the measure of <6
Fiesta28 [93]
The measure of angle 6 can be found by subtracting the measure of angle 13 from 90.

90-13 = 77
6 0
3 years ago
Find the value of n that makes each equation true. Then, arrange the equations IN increasing ORDER of the values of n found.
andreyandreev [35.5K]

n+5=13 n=8

n+5=10 n=5

2n=3 n=1.5

5n=20 n=4

6 0
3 years ago
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