The marked price of the projector is $50,000.
<h3>What is the marked price?</h3>
The price of the projector after the discount can be represented with:
(100 - 10%)x - 90%x = 0.90x
Where x is the marked price
The price of the projector after the VAT is : (1.13) x 0.90x = 1.02x
Difference in price = 1.02x - 0.90x = 5850
0.12x = 5850
x = 5850 / 0.12
x = $50,000
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Second one is correct, that is an identity.
Third one is a contradiction:
6x - 15 = 3 * (2x - 6) ------> 6x - 15 = 6x - 18
Fourth one:
5x - 3 * (x - 4) = 2 * (x - 6) ---> 5x - 3x + 12 = 2x - 12 ---> 2x + 12 = 2x -12
So this is a contradiction as well.
Answer:
6Apples
Step-by-step explanation:
Number of apples required for the recipe = 1.2kilograms
But we know that 1000g = 1kg
So;
1.2 kg will give:
1.2 x 1000 = 1200kg
Average mass of the apple = 200g
So;
The number of apples used =
= 6Apples
Order of operations are:
<span>1. Parentheses (simplify inside 'em)
2. Exponents
3. Multiplication and Division (from left to right)
<span>4. Addition and Subtraction (from left to right)
So, on your first one:
Parentheses first:8(3+4)-2*8/(5-3)
8(7)-2*8/(2)
There are no exponents so multiplication and division:56-16/2
56-8
Finally, addition and subtraction:56-8=48
Your second problem is a bit more complicated but follows the same rules:
</span></span>

<span><span>
Parentheses first:</span></span>

<span><span>
Now, exponents. Even though they are inside parentheses, we can't go further until we simply those.
(64+81)/5
Now back to parentheses:(145)/5
Division:
145/5=29
Hope that helps</span></span>
To get the Total amount upon investment for the compound interest, plug in the value of x into the given expression bellow
<em>A = 9,000.00(1 + x/100)^(4)</em>
Given data
Principal = $9000
Time = 4 years
Rate = x% per annum
<h3>Solution</h3>
First, convert R as a percent to r as a decimal
r = x/100
r = x/100
Then solve the equation for A
A = P(1 + x/100)^t
A = 9,000.00(1 + x/100)^(4)
A = 9,000.00(1 + x/100)^(4)
The total amount accrued, principal plus interest, with compound interest on a principal of $9,000.00 at a rate of x% per year.
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