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Virty [35]
3 years ago
12

Johnny sold crafts at a show. His prices included .07 sales tax. Johnny grossed $1236.00. What was johnny's taxable amount?

Mathematics
1 answer:
Vadim26 [7]3 years ago
5 0

The taxable amount was $80.86

Step-by-step explanation:

Given,

Sales tax = .07

Total grossed = $1236.00

Let,

x be the price before sales tax, therefore,

Amount of sales tax = 0.07x

Price before sales tax + Sales tax = Total amount grossed

x+0.07x = 1236

1.07x=1236

Dividing both sides by 1.07

\frac{1.07x}{1.07}=\frac{1236}{1.07}\\x=1155.14

Taxable amount = Total amount grossed - Price before tax

Taxable amount = 1236 - 1155.14 = $80.86

The taxable amount was $80.86

Keywords: subtraction, addition

Learn more about subtraction at:

  • brainly.com/question/1499598
  • brainly.com/question/1500961

#LearnwithBrainly

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​ f(1)=72 f(n)=f(n−1)+9 ​ Find an explicit formula for f(n)
myrzilka [38]

a_{n} = 9n + 63

generate the first few terms using the recursive equation

f(1) = 72

f(2) = 72 + 9 = 81

f(3) = 81 + 9 = 90

f(4) = 90 + 9 = 99

the sequence is 72, 81, 90, 99, .....

This is an arithmetic sequence whose n th term formula is

a_{n} = a_{1} + (n - 1 )d

where a_{1} is the first term and d the common difference

d = 99 - 90 = 90 - 81 = 81 - 72 = 9 and a_{1} = 72

a_{n} = 72 + 9(n - 1) = 72 + 9n - 9 = 9n + 63 ← explicit formula


8 0
3 years ago
7. Find the slope of the following equation. Simplify your answer.
Nadusha1986 [10]

Answer:

d

Step-by-step explanation:

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3 0
3 years ago
Find the inverse function of
shtirl [24]

Answer:

f(x) = 20x - 4 \\ substitute \: y \: for \: f(x) \\ y = 20x - 4 \\ interchange \: x \: and \: y \\ x = 20y - 4 \\ swap \: the \: sides \: of \: the \: equation \\ 20y - 4 = x \\ move \: the \: constant \: to \: the \: right \: hand \\ 20y = x + 4  \\ divide \: both \: sides \: by \: 20 \\ y =  \frac{1}{20} x +  \frac{1}{5}  \\ substitute \: f {}^{ - 1} (x) \: for \: y \\ f {}^{ - 1} (x) =  \frac{1}{20} x +  \frac{1}{5}

The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.

Thus, domain of f(x): x∈R = range of f¯¹(x)

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3 0
2 years ago
The big dog weighs 5 times as much as the little dog. The little dog weighs 2 3 as much as the medium-sized dog. The medium-size
disa [49]

Answer:

The answer to your question is the big dog weighs 120 pounds

Step-by-step explanation:

Data

big dog = b    

medium dog = m

small dog = s

Equations

       b = 5s

       m = 12 + s

       s = 2/3 m

Process

1.- Substitute m in the last equation

       s = 2/3(12 + s)

       s = 24/3 + 2/3s

       s - 2/3s = 8

       1/3 s = 8

             s = 8(3)

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2.- Substitute s in the first equation

        b = 5(24)

        b = 120 pounds

     

4 0
3 years ago
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