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Paladinen [302]
2 years ago
6

According to the chart below, what percentage of Ralph’s expenses are items other than taxes?

Mathematics
2 answers:
pochemuha2 years ago
8 0

Answer:

  • <u>65%</u>

Explanation:

Please, see attached the chart corresponding to this question.

The<em> chart</em> is a pie chart that shows the percentage composition of the <em>expenses </em>and uses color to identify each item.

The items corresponding to<em> taxes</em> are:

  • <em>Federal tax: 29%</em>
  • <em>State tax: 6%</em>

All the other expenses are not taxes.

Add the two items that are taxes: 29% + 6% = 35%.

Hence, the expenses that are not taxes can be calculated by difference:

  • 100% - 35% = 65%.

bagirrra123 [75]2 years ago
6 0

Answer:

A) 65%

Step-by-step explanation:

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We can use this equation to solve this problem:

<span>t=p+<span>(p⋅r)</span></span>

Where:

t is the total price paid: 58.31 for this problem

p is the price before taxes: What we are solving for in this problem.

r is the tax or VAT rate: 19% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 19% can be written as <span>19100</span> or 0.19.

Substituting and solving for p gives:

<span>58.31=p+<span>(p⋅0.19)</span></span>

<span>58.31=1p+0.19p</span>

<span>58.31=<span>(1+0.19)</span>p</span>

<span>58.31=1.19p</span>

<span><span>58.311.19</span>=<span><span>1.19p</span>1.19</span></span>

<span>49=<span><span>1.19p</span>1.19</span></span>

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Now, we can find how much the VAT was by taking 19% of 49:

<span>19%×49=0.19×49=9.31</span>

Another was to solve this is to subtract the price without the tax or VAT from the total price giving:

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Which of the following equations is equivalent to log(y)= 3.994 ?
Kisachek [45]

Answer:

The correct answer is option D: y = 10^{3.994}

Step-by-step explanation:

Given:  

log(y)= 3.994

Solution:

A logarithm base b of a positive number x satisfies the following definition:

y =log_b(x) => b^y =x

For x > 0, b >0, b \neq 1

Also if no base  b  is indicated, the base of the logarithm is assumed to be  10 .

Thus, in log(y)= 3.994 base b is not indicated. so its base is assumed to be 10

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