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faltersainse [42]
3 years ago
6

The sales tax on the purchase of a futon is ​$24.45. If the tax rate is 5​%, find the purchase price of the futon

Mathematics
2 answers:
12345 [234]3 years ago
7 0
5% is the same as .05, so in this case, the sales tax is added by .05. Subtract .05 from 24.45 to get the original price of the futon. You'll get $24.40
FinnZ [79.3K]3 years ago
6 0

Answer:

The purchase price of the futon is $23.2275.

Step-by-step explanation:

The sales price is how much you sold the product for, including the taxes, which is 5%.

The purchase price is how much you bought the futon for, that is, without the taxes.

The tax rate is 5% and you sell the futon for $24.45. So you paid for the futon 95% of 24.45.

So

24.45 - 1

x - 0.95

x = 0.95*24.45 = 23.2275

The purchase price of the futon is $23.2275.

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Where do you find a vertical shift in the exponential parent function?
Montano1993 [528]

For the given expressions we will have:

y = exp(x - 4)   →we have a shift of 4 units to the right.

y = exp (x +9)  → we have a shift of 9 units to the left.

y = exp(x) + 7 → we have a shift of 7 units up.

y = exp(x) - 6  → we have a shift of 6 units down.

<h3>How to work with vertical and horizontal shifts?</h3>

Remember that the shifts work as follows.

For a function f(x), we define a vertical shift of N units as:

g(x) = f(x) + N

  • If N > 0, the shift is upwards.
  • If N < 0, the shift is downwards.

For a function f(x), we define a horizontal shift of N units as:

g(x) = f(x + N)

  • If N > 0, the shift is to the left.
  • If N < 0, the shift is to the right.

Then, if we have:

exp(x - 4) we have a shift of 4 units to the right.

exp (x +9) we have a shift of 9 units to the left.

exp(x) + 7 we have a shift of 7 units up.

exp(x) - 6  we have a shift of 6 units down.

Learn more about translations

brainly.com/question/24850937

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4 0
1 year ago
9x-8(x-6)=52 what is the answer
Effectus [21]

Answer:

x = 4

Step-by-step explanation:

Step 1: Write equation

9x - 8(x - 6) = 52

Step 2: Solve for <em>x</em>

  1. Distribute -8: 9x - 8x + 48 = 52
  2. Combine like terms: x + 48 = 52
  3. Subtract 48 on both sides: x = 4

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

9(4) - 8(4 - 6) = 52

36 - 8(-2) = 52

36 + 16 = 52

52 = 52

7 0
3 years ago
How many times is 3 in 43.999 than the value of the digit 3 in 42.103
Dennis_Churaev [7]

Answer:

1. 14.666 ¯ over the 3

2. 14.034 ¯ over the 3

Step-by-step explanation:

5 0
3 years ago
What is the answer to this equation
kirza4 [7]
EDF and GHL are similar. The scale factor is 1/2.
3 0
3 years ago
Find the MAD for this set of data.
Nostrana [21]

Answer:

Hence MAD=0.8

Step-by-step explanation:

<u>MAD-</u>

MAD is also known as Mean Absolute Deviation.

We find MAD by the following steps:

  • Firstly we find the mean of the data
  • Then we subtract each entry from the mean to obtain the deviation
  • Then find the absolute value of the deviation which is also known as absolute deviation.
  • Finally we find the mean of the absolute deviation.

Now we are given a table of the absolute deviation we just need to calculate the mean of the absolute deviation.

The absolute deviation is given as:

1    3    1    0    0    1    0    0    1    1

The mean of this is calculated as:

\dfrac{1+3+1+0+0+1+0+0+1+1}{10}=\dfrac{8}{10}=0.8

Hence, MAD=0.8




7 0
3 years ago
Read 2 more answers
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