4ˣ⁻¹ = 49 / 4
<h3>How to simplify an expression?</h3>
The expressions can be simplified as follows;
Hence,
Therefore,
Finally,
2ˣ = 7
4ˣ⁻¹ = 2²⁽ˣ⁻¹⁾ = 2²ˣ ⁻ ² = 2²ˣ / 2² = (2ˣ)² / 2²
Therefore,
(2ˣ)² / 2² = 7² / 2² = 49 / 4
Hence,
4ˣ⁻¹ = 49 / 4
Finally, the is equal to 
and for the second part 4ˣ⁻¹ = 49 / 4
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Answer:
Step-by-step explanation:
cos x cos (3x)+sinx sin (3x)=0
cos (x-3x)=0
cos(-2x)=0
cos 2x=0=cos (2n+1)π/2
where n=0,1,2,3∞∞∞∞
2x=(2n+1)π/2
x=(2n+1)π/4
put n=0,1,2,3
x=π/4,3π/4,5π/4,7π/4
Answer:
The cost for making x banjos is c = $ 400 x
Step-by-step explanation:
Given as :
The making cost of each banjos = $ 250
The selling cost of each banjo = $ 400
Let The cost for making x banjos = c
Now,
∵ For making 1 banjos , the making cost = $ 250
∴ For making x banjos , the making cost = $ 250 × x
Again,
∵ The selling price of 1 banjos = $ 400
∴ The selling price of x banjos = = $ 400 × x
Hence The cost for making x banjos is c = $ 400 x . Answer
Answer:
pink's area: 114
teal's area: 183
Step-by-step explanation:
lmk if you need the work
You know that ...
... total cost = (marked-up price) + 6.25% × (marked-up price)
... $90.10 = (marked-up price) × 1.0625
Solving for (marked-up price) gives
... marked-up price = $90.10/1.0625 = $84.80
<u>Markup</u>
You also know that
... marked-up price = cost + markup
... $84.80 = $50.88 + markup
... $33.92 = markup . . . . . . . . . . . subtract $50.88
The percentage of markup can be figured a couple of different ways. It is easy to add a percentage to the cost price of an article, because the cost is generally right in front of the storekeeper when the article is received and prices are being marked. However, many accountants are interested in the percentage of the selling price that is available for overhead and profit, so they are interested in the markup as a percentage of selling price. The question here is non-specific as to the base to be used for figuring the percentage of markup.
The markup as a percentage of cost is
... $33.92/$50.88 × 100% = 66.67%
The markup as a percentage of selling price is
... $33.92/$84.80 × 100% = 40%
