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:
The solutions are x = 1.24 and x = -3.24
Step-by-step explanation:
Hi there!
First, let´s write the equation:
log[(x² + 2x -3)⁴] = 0
Apply the logarithm property: log(xᵃ) = a log(x)
4 log[(x² + 2x -3)⁴] = 0
Divide by 4 both sides
log(x² + 2x -3) = 0
if log(x² + 2x -3) = 0, then x² + 2x -3 = 1 because only log 1 = 0
x² + 2x -3 = 1
Subtract 1 at both sides of the equation
x² + 2x -4 = 0
Using the quadratic formula let´s solve this quadratic equation:
a = 1
b = 2
c = -4
x = [-b± √(b² - 4ac)]/2a
x = [-2 + √(4 - 4(-4)·1)]/2 = 1.24
and
x = [-2 - √(4 - 4(-4)·1)]/2 = -3.24
The solutions are x = 1.24 and x = -3.24
Have a nice day!
Answer:
Step-by-step explanation:
Mixed number Improper fraction
a) 1 + 1 + 1/3 = 
7/3
b) 1 + 1 + 1 + 5/8 = 
29/8
c) 1 + 1 + 1 +2/4 = 
14/4
Since the number of cats has to be less than 28, a statement could be "the shelter can house no more than 28 cats.
