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Ainat [17]
3 years ago
11

Ashley owns a house with a market value of $135,000 and an assessed value of $110,000. If Cobb County's tax rate is $21.40 per $

1,000 of assessed value, what is her annual tax bill?
Mathematics
1 answer:
labwork [276]3 years ago
3 0

Answer:

Annual tax bill of Ashley = $2,354

Step-by-step explanation:

Given:

Market value of house = $135,000

Assessed value of house = $110,000

County's tax rate = $21.40 per $1,000

Find:

Annual tax bill of Ashley

Computation:

Annual tax bill of Ashley = [Assessed value of house / 1,000 ]21.40

Annual tax bill of Ashley = [110,000 / 1,000 ]21.40

Annual tax bill of Ashley = [110]21.40

Annual tax bill of Ashley = $2,354

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An object is heated to 100°. It is left to cool in a room that
stepladder [879]

Answer:

Step-by-step explanation:

Use Newton's Law of Cooling for this one.  It involves natural logs and being able to solve equations that require natural logs.  The formula is as follows:

T(t)=T_{1}+(T_{0}-T_{1})e^{kt} where

T(t) is the temp at time t

T₁ is the enviornmental temp

T₀ is the initial temp

k is the cooling constant which is different for everything, and

t is the time (here, it's in minutes)

If we are looking first for the temp after 20 minutes, we have to solve for the k value.  That's what we will do first, given the info that we have:

T(t) = 80

T₁ = 30

T₀ = 100

t = 5

k = ?

Filling in to solve for k:

80=30+(100-30)e^{5k} which simplifies to

50=70e^{5k} Divide both sides by 70 to get

\frac{50}{70}=e^{5k} and take the natural log of both sides:

ln(\frac{5}{7})=ln(e^{5k})

Since you're learning logs, I'm assuming that you know that a natural log and Euler's number, e, "undo" each other (just like taking the square root of something squared).  That gives us:

-.3364722366=5k

Divide both sides by 5 to get that

k = -.0672944473

Now that we have a value for k, we can sub that in to solve for T(20):

T(20)=30+(100-30)e^{-.0672944473(20)} which simplifies to

T(20)=30+70e^{-1.345888946}

On your calculator, raise e to that power and multiply that number by 70:

T(20)= 30 + 70(.260308205) and

T(20) = 30 + 18.22157435 so

T(20) = 48.2°

Now we can use that k value to find out when (time) the temp of the object cools to 35°:

T(t) = 35

T₁ = 30

T₀ = 100

k = -.0672944473

t = ?

35=30+100-30)e^{-.0672944473t} which simplifies to

5=70e^{-.0672944473t}

Now divide both sides by 70 and take the natural log of both sides:

ln(\frac{5}{70})=ln(e^{-.0672944473t}) which simplifies to

-2.63905733 = -.0672944473t

Divide to get

t = 39.2 minutes

3 0
3 years ago
I have a 6 in the tens place and 7 in the ones place .I am greater than 200 but less than 400. what number am I?​
Alinara [238K]
Either 267 or 367. Is there more info?
3 0
3 years ago
Read 2 more answers
How do we solve this problem?
MaRussiya [10]
To solve the problem you must find the area of every square. For F one of the squares has a side length of 3 and because this is a square the other sides are also 3. To find the area we multiply two of the sides so 3 times 3 is 9
You do this with both the other squares
3*3=9
4*4=16
The area of the large square is given as 25
So 9+16=25 which means this is not the correct answer

H.
9*9=81
Given as 144
The area of the large square is 21*21 which is 441
144+81= 225
So because the two small squares DO NOT equal the area of the large square this is the correct answer.
5 0
3 years ago
When you divide , we are
fomenos
Could you be a little more specific.
5 0
3 years ago
Read 2 more answers
2. Tom Johnson worked 32 hours this week for $9.25 per hour. What is Tom’s gross pay for the week?
prohojiy [21]
His pay for the week is 296
5 0
3 years ago
Read 2 more answers
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