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skad [1K]
3 years ago
15

What is the explicit formula for the following sequence: -4, -1, 2, 5...?

Mathematics
1 answer:
stiv31 [10]3 years ago
4 0
U have an arithmetic sequence with a common difference of 3

A(n) = -4 + (n-1) * 3
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Any help? Please!!!<br><br> It's due today.
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Answer:

120

Step-by-step explanation:

4+4=8 tell you het to 120

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2 years ago
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What is 0.7b^3•0.4b^9
Dennis_Churaev [7]

It's an expression that can be simplified to read

       ( 0.7  x  0.4 ) ( b³  x  b⁹ )

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4 0
3 years ago
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
3 years ago
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