Answer:
x = $200
The original price is $200
Question :
The price of a dress is reduced by 50%. When the dress still does not sell, it is reduced by 50% of the reduced price. If the price of the dress after both reductions is $50, what was the original price?
Step-by-step explanation:
Let x represent the original price of the dress.
First reduction
After first reduction the value of the price is given as;
p1 = x - 50% of x = (1-0.50)x = 0.5x
p1 = 0.5x
Second reduction
After the second reduction the value of the price is given as;
p2 = p1 - 50% of p1 = (1-0.50)p1 = (0.50)0.50x
p2 = 0.25x .....1
Since, p2 is given
p2 = $50
Substituting into equation 1
$50 = 0.25x
x = $50/0.25 = $200
x = $200
The original price is $200
Answer:
<h2>The total value of all the letters in the alphabet is 676.</h2>
Step-by-step explanation:
The problem is about an arithmetic sequence where the difference is 2, the first term is 1 and we know that the alphabet has 26 letters.
To find the total sum of all values, we have to use the following formula
Where 
, 
and 
. Replacing values, we have
Therefore, the total value of all the letters in the alphabet is 676.
The formula is
A=p (1+r)^t
A future value?
P present value 25000
R interest rate 0.03
T time 9 years
A=25,000×(1+0.03)^(9)
A=32,619.33
We can use the points (2, -2) and (4, -1) to solve.
Slope formula: y2-y1/x2-x1
= -1-2/4-(-2)
= -3/6
= -1/2
Point slope form: y - y1 = m(x - x1)
y - 2 = -1/2(x + 2)
Solve for y-intercept.
-2 = -1/2(2) + b
-2 = -1 + b
-2 + 1 = -1 + 1 + b
-1 = b
Slope Intercept Form: y = mx + b
y = -1/2x - 1
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Best Regards,
Wolfyy :)
