Answer:

Step-by-step explanation:
6 symbols and 4-symbol code so number of combinations wich doesn't contain the same symbol twice would be:
6•5•4•3 = 360
If code starts with a star followed by triangle that means only one posibility for first two symbols and code doesn't containing the same symbol twice means that left 4 symbols for next two.
So number of combinations of code starting with a star followed by triangle and doesn't containing the same symbol twice will be:
1•1•4•3 = 12
The probability that a randomly chosen code starts with a star followed by triangle and doesn't contain the same symbol twice:

Answer:
<em>Net price: $4972.50</em>
Step-by-step explanation:
<u>Percentages</u>
We know a ream of paper has a list price of $25.50. Custom Greetings placed an order for 300 of them. If they have purchased them at list price, the total price would have been
300*25.50=$7,650
But we also know there was a 35% trade discount, so the net price of their order is
$7,650-$7,650*35/100=$4972.50
Answer:
Since the price is given by an exponential function, the decline in price is exponential.
The component will cost $36.8475 in three years.
Step-by-step explanation:
The equation for the price of a component has the following format:

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.
Since the price is given by an exponential function, the decline in price is exponential.
The price of a computer component is decreasing at a rate of 15% per year.
This means that 
Component costs $60 today
So P(0) = 60. Then



What will it cost in three years?
This is P(3).


The component will cost $36.8475 in three years.
Answer:
y=3/4x+2
Step-by-step explanation:
I found this by using desmos graphing calculator
Answer: H = 8 cm
Step-by-step explanation: Since a triangle's area is b times h/2, we know that two times 48 is 96, therefore we can opposite the equation so 12 is the base times the height (8 cm) is 96 divided by 2, there's your answer.