Pls answer asap!!!!!!

Jessica purchased a dvd that was on sale for 12% off. the sales tax in her county is 3%. let y represent the original price of t

ohaa [14]

Jessica purchased a DVD that was on sale for 12% off.

The sales tax in her county is 3%.

Let, y represent the original price of the DVD.

We can simply solve this mathematical problem by using the following mathematical process.

Here, we will form an algebraic expression, according to the given data.

So,

The original price of the DVD = y

Discount on the original price :

y * 12/100

=3y/25

Price after discount :

y - 3y/25

=25y - 3y/25

=22y/25

Sales tax amount :

22y/25 * 3/100

11y/25 * 3/50

=33y/1250

Final price including the sales tax :

22y/25 + 33y/1250

1100y + 33y/1250

1133y/1250

(This will be considered as the final result.)

Learn more about sales tax here:brainly.com/question/9437038

#SPJ4

5 0

2 years ago

(09.01) A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsiu

lukranit [14]

Answer:

x-intercept:

A line that crosses the graph at x-axis.

i.e substitute y = 0 and solve for x.

As per the statement:

A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water

Given the graph:

$y = -2x^2+20x+400$

Substitute y = 0 we have;

$-2x^2+20x+400 = 0$

⇒ $-2(x^2-10x-200) = 0$

⇒ $x^2-10x-200 =0$

⇒ $x^2-20x+10x-200 =0$

⇒ $x(x-20)+10(x-20)=0$

⇒ $(x-20)(x+10)=0$

By zero product property we have;

x-20 =0 and x+10 = 0

⇒x = 20 and x = -10

Therefore, the x-intercept represents the water has no larvae at −10 degrees Celsius and 20 degrees Celsius.

6 0

4 years ago

Read 2 more answers

What is the x-intercept of the line with this equation −5x+1/5y=15 ?

bulgar [2K]

9

Step-by-step explanation:

I don't no but 5 and 1 is 6 so add 9 more and you have 15

6 0

3 years ago

Will give brainliest

elena55 [62]

Answer:3

I’m sorry if it’s wrong

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial off

Yakvenalex [24]

Answer:

a) The officers can be appointed in 24024 different ways.

b) The committee can be appointed in 1001 different ways.

c) 1.1% probability of randomly selecting the committee members and getting the three youngest of the qualified candidates

Step-by-step explanation:

The order in which the officers are appointed is important(the first is the president, second the CEO and so on...). So the permutations formula will be used.

Otherwise, in the committee there are no roles, so the order is not important. So the combinations formula will be used.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

A. How many different ways can the officers be appointed?

4 from a set of 14, with roles. So a permutation.

$P_{(14,4)} = \frac{14!}{(14-4)!} = 24024$

The officers can be appointed in 24024 different ways.

B. How many different ways can the committee be appointed?

4 from a set of 14, without roles. So combination

$C_{14,4} = \frac{14!}{4!(14-4)!} = 1001$

The committee can be appointed in 1001 different ways.

C. What is the probability of randomly selecting the committee members and getting the three youngest of the qualified candidates?

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes.

The three youngest(1 combination), and one of the other 14-3 = 11. So $D = 1*11 = 11$

Total outcomes:

From B., 1001, so $T = 1001$

Probability:

$p = \frac{D}{T} = \frac{11}{1001} = 0.011$

1.1% probability of randomly selecting the committee members and getting the three youngest of the qualified candidates

8 0

4 years ago