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zimovet [89]
3 years ago
5

Based on the current eligibility requirement, a study conducted in 2004 showed that federal spending on entitlement programs, pa

rticularly Medicare, would grow enormously in the future. The study predicted that spending on Medicare, as a percentage of the gross domestic product (GDP), will be P(t) = 0.27t^2 + 1.4t + 2.1 (0 <= t <= 5) percent in year t, where t is measured in decades, and t = 0 corresponds to 2000. (Round your answers to two decimal places.)
a. How fast will the spending on Medicare, as a percent of the GDP, be growing in 2030?
b. What will the predicted spending on Medicare be in 2030?
Mathematics
2 answers:
slava [35]3 years ago
5 0

Answer:

A) 2.9% of GDP

B) 8.73% of GDP

Step-by-step explanation:

A) To find the rate of spending, let's find the derivative of the function

P(t) = 0.27t² + 1.4t + 2.1 (0 <= t <= 5)

So,

dP/dt = 0.54t + 1.4 which is the annual growth rate.

Since t is measured in decades, thus in 2030 ,it will have been 3 decades, so we have t = 3

So, at t=3; dp/dt = 0.5(3) + 1.4 = 1.5 + 1.4 = 2.9 which means spending in 2030 will be growing at rate of 2.9%

B) The predicated spending is;

P(t) = 0.27t² + 1.4t + 2.1

Thus, in 2030, will be 3 decades so, t= 3

Thus;

P(3) = 0.27(3²) + 1.4(3) + 2.1 = 8.73 which is 8.73% of GDP

murzikaleks [220]3 years ago
5 0

Answer:

4.0% , 1985-1995

Step-by-step explanation:

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A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the
fiasKO [112]

Answer:

H=310

Step-by-step explanation:

This problem is a great systems of equations problem--you have two different variables: song size and number of songs.

Let's call the number of standard version downloads (S) and the high quality downloads (H).

You can make two statements:

For number of songs downloaded: S + H = 910

For download size: 2.8(S) + 4.4(H) = 3044.

S will be the same number in both equations and H will be the same number in both equations, so to find S, we can rearrange the first statement to H = 910 - S, then substitute or plug in (910 - S) wherever you see an H in the second equation so that you have only S's in your equation. Should look like this:

2.8(S) + 4.4(910 - S) = 3044

2.8S + 4004 - 4.4S = 3044

-1.6S = -960

s = 600

Your question only asks for the standard version downloads, but to help you out in future Systems situations-

You can also solve for H once you have S by plugging it into either of your equations like this:

600 + H = 910

-600

Hope this helps!

7 0
2 years ago
Solve using long division
Mice21 [21]
19x-53 / x^2 + x + 2

You want to put a - ( 19 x / x^2 + x + 2 - 53/x^2 +x +2)
4 0
3 years ago
Use the properties of operations to determine if each pair of expressions is equivalent
SIZIF [17.4K]

Using the properties of operations the given pair of expressions are not equivalent

<u>Solution:</u>

Given that, we have to use the properties of operations to determine if each pair of expressions is equivalent

<em><u>And the two expressions are:</u></em>

\frac{1}{2}(4-2 x) \text { and } 2-2 x

Now, we know that, there are four (4) basic properties of operations:

<em>Commutative, Associative, Distributive and Identity. These properties only apply to the operations of addition and multiplication.</em>

So, if we observe we can apply distributive property on 1st expression

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

\begin{array}{l}{\frac{1}{2}(4-2 x) \rightarrow \frac{1}{2}(4)-\frac{1}{2}(2 x)} \\\\ {\rightarrow 2-x}\end{array}

Here the resulting expression is 2 – x and it is not equivalent to 2 – 2x

Hence, the given two expressions are not equal.

3 0
2 years ago
After solving an equation, you end up with integers on both sides of the equation. What can you interpret about the equation are
murzikaleks [220]

Answer:

The equation is:

An identity

Has infinitely many solutions

No solution

Step-by-step explanation:

Because there is integers on both sides, we know that any attempts to fix this will either cause an identity, or a false numerical equation(an identity but <em>w r o n g</em>).(Note, an identity can either mean 2 = 2 or x = x).

Identities have infinite solutions, because it does not matter what you put in, the equation will always be true. False equations do not have a solution because they aren't even true equations.

Hope this helps!

5 0
3 years ago
Multiply.
PilotLPTM [1.2K]

Answer:

The answer is C.24 - 9x3 - 8x2 + 15x

5 0
3 years ago
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