Answer:
Step-by-step explanation:
1. A boutique is offering a 15% discount on a dress. Calculate the cash price for the dress if the marked price is $2300.
2. An artist charges $980 for a portrait but gives a 5% discount. Calculate the cash price of the portrait.
3. A television set has a selling price of $1950. A 10% discount is offered for cash. What amount is the cash price to the customer?
4. A store is having a sale on dining sets. The marked price is $47,320, however a discount of 12% is being offered for cash. Calculate the cash price of the dining set.
5. A tailor charges $2487 for a suit but gives a discount of 5%. What is the cash price for the suit?
6. A washing machine has a marked price of $33,000 and a discount of 6% is given for cash. What is the cash price of the washing machine?
7. Laura sees a summer dress in a store with a marked price of $1303. A discount of 9% is given on cash. What is the cash price of the summer dress?
Light behaves mainly like a wave but it can also be considered to consist of tiny packages of energy called photons. Photons carry a fixed amount of energy but have no mass. They also found that increasing the intensity of light increased the number of electrons ejected, but not their speed.
Answer:
x = 3.76 ft
Step-by-step explanation:
To find the missing side, "x", solve using proportions.
In similar polygons, the 'new' polygon was created by multiplying every side of the 'old' polygon by the same number. Every side was multiply by the <u>scale factor</u>, "k", which tells you how much a polygon grew (k>1) or shrunk (0<k<1).
Therefore, if you divided the pairs of corresponding sides, they would be equal.
From the diagram, you can tell that the following sides correspond:
CB ~ GF
AB ~ EF
<u>Use the proportion</u>
Substitute values from diagram
Multiply both sides by 6 ft
"x" is isolated. Multiply fraction by combining into numerator
Solved numerator. Divide for decimal answer.
The value of 'x' is 3.76 ft.
Answer:
21 miles
Step-by-step explanation:
Each of the distances is the same, so we have ...
5x +4 = 15x -30
34 = 10x
3.4 = x
Then the distances are ...
5(3.4) +4 = 21 . . . . miles
Bert and Ernie each live 21 miles from Big Bird's nest.
8.5x + 55 = 123
You would use the formula: mx + b = y
The slope is the amount of money each day(mx),and the y-intercept would be the fee(b) and the total cost would be y.
Answer:
Step-by-step explanation:
A parabola is written in the form
(1)
where:
is the x-coordinate of the vertex of the parabola
is the y-coordinate of the vertex of the parabola
is a scale factor
For the parabola in the problem, we know that the vertex has coordinates (4,-3), so we have:
(2)
From this last equation, we get that 
(3)
Substituting (2) and (3) into (1) we get the new expression:
(4)
We also know that the parabola contains the point (2,-1), so we can substitute
x = 2
f(x) = -1
Into eq.(4) and find the value of k:
So we also get:
So the equation of the parabola is:
(5)
Now we want to rewrite it in the standard form, i.e. in the form
To do that, we simply rewrite (5) expliciting the various terms, we find:
