Answer:
She was wrong in her analysis because the sales discount of 25% is the discount on the original cost of the dress and not the purchasing cost of the dress as explained below:
Step-by-step explanation:
From the question:
Purchasing cost price of the dress = £30
However, this cost (£30) was after a 25% Sales Discount
It, therefore, implies that £30 is equal to 75% of the cost price
75% of the original cost price = £30
100% of the original cost price = (30 x100%)/75%
Original cost price = £40
Therefore the 25% discount / savings on the cost
= £ (40-30)
= £10
She saved £10 by buying the dress at £30 instead of the original cost of £40
Answer:
The intermediate step are;
1) Separate the constants from the terms in x² and x
2) Divide the equation by the coefficient of x²
3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression
Step-by-step explanation:
The function given in the question is 6·x² + 48·x + 207 = 15
The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;
6·x² + 48·x + 207 = 15
We get
1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192
6·x² + 48·x = -192
2) Dividing by 6 x² + 8·x = -32
3) Add the constant that completes the square to both sides
x² + 8·x + 16 = -32 +16 = -16
x² + 8·x + 16 = -16
4) Factorize (x + 4)² = -16
5) Compare (x + 4)² = -16 which is in the form (x + a)² = b
Don't let fractions fool you.

of a tank in

an hour is equal to:
1/12 of a tank in 20 minutes.
Thus we know in an hour, an oil company can fill 3/12 of a tank (60 minutes in an hour).
3 x 4 = 12, and 12/12 = 1(a whole tank), so we multiply 1 (hour) by 4.
Our answer is that it takes 4 hours to fill a tank.
Answer:
She should contribute $ 8369.38 ( approx )
Step-by-step explanation:
Let P be the amount invested by the other partner,
∵ The amount formula in compound interest,

Where,
r = annual rate,
n = number of compounding periods in a year,
t = number of years,
Here, r = 9% = 0.09, n = 4 ( quarters in a year ), t = 2 years,
Then the amount after 2 years,

According to the question,
A = $ 10,000,


