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BlackZzzverrR [31]
3 years ago
8

The population of a certain town was 10,000 in the year 2000 the town manager predicted that for the next 20 years the populatio

n would be equal to p(t)=(10,000)(1.05)t where t is measured in years since 2000 according to this prediction what would be the population of the town in years 2002
Mathematics
1 answer:
Bond [772]3 years ago
8 0
The population of the town from 2000 to 2020 is modeled by the equation:

p(t)=10000(1.05)^{t}

Where t is the number of years since 2000.

We have to find the expected population of the town in 2002. The number of years from 2000 to 2002 are 2, so we have to find p(2). Replacing t by 2 in the above equation, we get:

p(2)=10000(1.05)^{2}  \\  \\ 
p(2)=11025

So, according to the model, the population of town in 2002 is predicted to be 11,025.
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The Social Security Administration increased the taxable wage base from $106,800 to $110,100. The 6.2% tax rate is unchanged. Jo
Rzqust [24]

Answer:

The Social Security Administration increased the taxable wage base from $106,800 to $110,100.

A:

The percent increase in the base =

\frac{110100-106800}{106800}\times100=3.09%

B:

Previous year tax = 0.062\times106800=6621.60 dollars

This year tax = 0.062\times110100=6826.20 dollars

Increase in tax = 6826.20-6621.60=204.60 dollars

Hence, Joe’s increase in Social Security tax for the new year is $204.60.

5 0
3 years ago
Help Please !! 10 point
yulyashka [42]
8 for 6 is the answer I think
6 0
3 years ago
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When a number is divided by 5 the answer is 3 remainder 4, what is that number?
skelet666 [1.2K]

We know that 5 fits entirely into our number three times, and then there's a remainder of 4.

If 5 fits three times exactly, it means that our number is at least 15 (5x3).

From here, we have a remainder of 4, which leads to 15+4=19

5 0
3 years ago
L<br> E<br> N<br> 4<br> 8<br> 1<br> O<br> k<br> M<br> What is the value of k?<br> k=
s2008m [1.1K]

Answer: 2

Step-by-step explanation:

By the geometric mean theorem,

\sqrt{8k}=4\\\\8k=16\\\\k=\boxed{2}

6 0
2 years ago
What are the roots of the polynomial equation x3-7x=6x-12?
Ilia_Sergeevich [38]
This is not a polynomial equation unless one of those is squared.  As it stands x=-.833.  If you can tell me which is squared I can help solve the polynomial.

Ok, that is usually notated as x^3 to be clear.   I'll solve it now.

x^3-13x-12=0

Then use factor theorum to solve x^3-13x-12/x+1 =0
So you get one solution of x+1=0
x=-1

Then you have x^2-x-12 now you complete the square.

Take half of the x-term coefficient and square it. Add this value to both sides. In this example we have:

The x-term coefficient = −1

The half of the x-term coefficient = −1/2

After squaring we have (−1/2)2=1/4

When we add 1/4 to both sides we have:

x2−x+1/4=12+1/4

STEP 3: Simplify right side

x2−x+1/4=49/4

STEP 4: Write the perfect square on the left.

<span>(x−1/2)2=<span>49/4
</span></span>

STEP 5: Take the square root of both sides.

x−1/2=±√49/4

STEP 6: Solve for x.

<span>x=1/2±</span>√49/4

that is,

<span>x1=−3</span>

<span>x2=4</span>

<span>and the one from before </span>

<span>x=-1</span>

7 0
4 years ago
Read 2 more answers
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