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Nadya [2.5K]
3 years ago
13

Anna Keichline purchased six bushes for $19.27 each, a porch swing for $88.22, and a gas grill for $321.77. She must pay the sta

te tax of 4.5% and the city tax of 2%. What is the total purchase price?
Mathematics
2 answers:
Tanya [424]3 years ago
8 0

Answer: $559.77


Step-by-step explanation:

1. You have that she  purchased six bushes for $19.27 each, a porch swing for $88.22, and a gas grill for $321.77. then:

purchases=6* $19.27+$88.22+$321.77=$525.61

2. She must pay the state tax of 4.5% and the city tax of 2%:

taxes=0.045*$525.59+0.02*$525.59=$34.16

3. The total purchase is:

total purchase=$525.61+$34.16=$559.77

katrin2010 [14]3 years ago
5 0

Answer:

$559.77


Step-by-step explanation:

Total cost  = 6(19.27)+1(88.22)+1(321.77)=525.61

We need to find 4.5% of 525.61. This will be state tax.

We need to find 2% of 525.61. This will be city tax.


Converting 4.5% to decimal (4.5 divided by 100) and then multiplying with 525.61 will give us the answer.

State tax = \frac{4.5}{100}*525.61=0.045*525.61=23.65

City tax = \frac{2}{100}*525.61=0.02*525.61=10.51


Grand total purchase price is 525.61 + 23.65 + 10.51 = $559.77

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4 years ago
PLEASE HELP a three dight number has one more ten than it has hundreds, and it also has one more than twice as many units as ten
bija089 [108]

The reverse number of the three-digit number is 732

<h3>How to determine the reverse of the number?</h3>

Let the three-digit number be xyz.

So, the reverse is zyx

This means that

Number = 100x + 10y + z

Reverse = 100z + 10y + x


From the question, we have the following parameters:

y = x + 1

z = 1 + 2y

The sum is represented as:

100x + 10y + z + 100z + 10y + x = 10^3 - 31

100x + 10y + z + 100z + 10y + x = 969

Evaluate the like terms

101x + 101z + 20y = 969

Substitute y = x + 1

101x + 101z + 20(x + 1) = 969

101x + 101z + 20x + 20 = 969

Evaluate the like terms

101x + 101z + 20x = 949

121x + 101z = 949

Substitute y = x + 1 in z = 1 + 2y

z = 1 + 2(x + 1)

This gives

z = 2x + 3

So, we have:

121x + 101z = 949

121x + 101* (2x + 3) = 949

This gives

121x + 202x + 303 = 949

Evaluate the sum

323x = 646

Divide by 323

x = 2

Substitute x = 2 in z = 2x + 3 and y = x + 1

z = 2*2 + 3 = 7

y = 2 + 1 = 3

So, we have

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z = 7

Recall that

Reverse = 100z + 10y + x

This gives

Reverse = 100*7 + 10*3 + 2

Evaluate

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Hence, the reverse number of the three-digit number is 732

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1 year ago
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Answer:

\huge{ \fbox{ \sf{5b + 9}}}

Step-by-step explanation:

\star{ \text{( \: 3b + 5) + (2b + 4)}}

\text{Step \: 1 \:  :  \sf{Remove \: the \: unnecessary \: parentheses}}

\text{When \: there \: is \: a \: ( + ) \: in \: front \: of \: an \: expression \: in \: parentheses \:, there \: is \: no \: need \: to \: change \: the \: sign \: of \: each \: term \: in \: the \: expression.}

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\mapsto{ \sf{3b + 5 + 2b + 4}}

\text{Step \: 2 \:  : Collect \: like \: terms.}

\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}

\mapsto{ \sf{3b + 2b + 5 + 4}}

\mapsto{ \sf{5b + 5 + 4}}

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\mapsto{ \boxed {\sf{ {5b + 9}}}}

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Answer: the average speed at which he traveled to the city is 52.9 mph

Step-by-step explanation:

Let x represent the average speed at which he traveled to the city. Due to car trouble, his average speed returning was 8mph less than his speed going. It means that the speed at which he returned is (x - 8) mph.

Time = distance/speed

Assuming the distance travelled to and from the city is the same(170 miles), then

Time spent in travelling to the city is

170/x

Time spent in travelling back from the city is

170/(x - 8)

If the total time for the round trip was 7 hours, it means that

170/x + 170/(x - 8) = 7

Multiplying both sides of the equation by x(x - 8), it becomes

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Applying the general formula for solving quadratic equations which is expressed as

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From the equation given,

a = 7

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Therefore,

x = [- - 396 ± √(- 396² - 4 × 7 × 1360)]/2 × 7

x = [396 ± √(156816 - 38080)]/14

x = [396 ± √118736]/14

x = (396 + 344.58)/14 or x = (396 - 344.58)/14

x = 52.9 or 3.7

Checking both values of x,

For x = 52.9

170/52.9 + 170/(52.9 - 8) = 7

= 3.2 + 3.8 = 7

Therefore, x = 52.9 mph

4 0
3 years ago
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