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densk [106]
3 years ago
8

Calculate the amount of property tax Alice Brown owes on her home, which has an assessed value of $90,000. The tax rate in her c

ommunity is $31.00 per $1,000 of assessed value.
Mathematics
2 answers:
svp [43]3 years ago
8 0
This is the concept of commercial arithmetic, the amount of tax calculated from $90,000 will be:
Rate*value
=31/1000*90000
=$2,790
the answer is $2,790
Eduardwww [97]3 years ago
3 0

First determine the number of times $1,000 is contained in the assessed value:

$90,000 ÷ 1,000 = 90

Therefore, tax = $31 × 90 = $2,790

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Mr. Smith traveled to a city 300 miles from his home to attend a meeting. Due to car trouble, his average speed returning was 6
Kryger [21]

Answer: The speed at which he traveled to the city is 69.8 mph

Step-by-step explanation:

Let x represent the speed at which he traveled to the city.

Mr. Smith traveled to a city 300 miles from his home to attend a meeting.

Time = distance/speed

Time taken to travel to the city is

300/x

Due to car trouble, his average speed on returning was 6 mph less than his speed going. This means that the speed at which he returned is (x - 6) mph. Time taken to return from the city is

300/(x - 6)

If the total time for the round trip was 9 hours, it means that

300/x + 300/(x - 6) = 9

Cross multiplying by x(x - 6), it becomes

300(x - 6) + 300x = 9x(x - 6)

300x - 1800 + 300x = 9x² - 54x

9x² - 54x - 300x - 300x - 1800 = 0

9x² - 654x -1800 = 0

Applying the general quadratic equation,

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 9

b = - 654

c = 1800

Therefore,

x = [- - 654 ± √(- 654² - 4 × 9 × 1800)]/2 × 9

x = [654 ± √(427716 - 64800)]/18

x = [654 ± √362916.4]/18

x = (654 + 602.4)/2 or x = (654 - 602.4)/18

x = 1256.4/18 or x = 51.6/18

x = 69.8mph or x = 2.9 mph

The speed at which he traveled to the city is 69.8 mph

By checking,

Time spent travelling to the city = 300/69.8 = 4.3 hours

Time spent returning =

300/(69.8 - 6) = 4.7 hours

4.3 + 4.7 = 9 hours

3 0
3 years ago
Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 3 1/2 years, she had earned $36.40
N76 [4]

Answer:

$1,792

Step-by-step explanation:

3 1/2×36.40=116.48

116.48÷6.5%=1,792

$1,792

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3 years ago
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mrs_skeptik [129]
10%

200 x x%=20
x=10%

Do u understand ?
4 0
2 years ago
I will Give you Brainliest b^(2)-c^(2)-10(b-c)
Hitman42 [59]

Answer:

b^2-c^2-10b+10c

Step-by-step explanation:

b^2-c^2-10(b-c)

b^2-c^2-10b+10c

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mina [271]

Answer:

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Step-by-step explanation:

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