What is 3x-2y=4 when written in slope intercept form

The price of a computer component is decreasing at a rate of 15% per year. State whether this decrease is linear or exponential

Margaret [11]

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:

$P(t) = P(0)(1-r)^{t}$

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 $r = 0.15$

Component costs $60 today

So P(0) = 60. Then

$P(t) = P(0)(1-r)^{t}$

$P(t) = 60(1-0.15)^{t}$

$P(t) = 60(0.85)^{t}$

What will it cost in three years?

This is P(3).

$P(t) = 60(0.85)^{t}$

$P(3) = 60(0.85)^{3} = 36.8475$

The component will cost $36.8475 in three years.

6 0

3 years ago

The size of the largest angle in a triangle is 3 times the size of the smallest angle.

tamaranim1 [39]

The sizes of the angles are 34° , 44° , 102°

Step-by-step explanation:

The given is:

The size of the largest angle in a triangle is 3 times the size of the smallest angle
The third angle is 10° more than the smallest angle
The size of the third angle is x

We need to find the size of each angle in the triangle

∵ The size of the smallest angle = x°

∵ The size of the largest angle is 3 times the size of the smallest angle

∴ The size of the largest angle = x × 3 = (3x)°

∵ The third angle is 10° more than the smallest angle

∴ The size of the third angle = (x + 10)°

Add the size of the three angles and equate the sum by 180°

∵ The sum of the sizes of the interior angles of a Δ is 180°

∴ x + (3x) + (x + 10) = 180

∴ x + 3x + x + 10 = 180

- Add like terms

∴ 5x + 10 = 180

- Subtract 10 from both sides

∴ 5x = 170

- Divide both sides by 5

∴ x = 34

∵ x is the size of the smallest angle

∴ The size of the smallest angle is 34°

∵ 3x is the size of the largest angle

∴ The size of the largest angle = 3(34) = 102°

∵ x + 10 is the size of the third angle

∴ The size of the third angle = 34 + 10 = 44°

The sizes of the angles are 34° , 44° , 102°

Learn more:

You can learn more about the triangles in brainly.com/question/1479138

#LearnwithBrainly

6 0

3 years ago

Please help me out on this question :)

d1i1m1o1n [39]

Answer:

my teacher gave me the exact answer for this

Step-by-step explanation:

8 0

3 years ago

School Season Ticket Package Football State University $150 for 7 games University of Football $200 for 8 games Gridiron Univers

Alecsey [184]

Football State University = $21.42 for one game

University of Football = $25 for one game

Gridiron University = $29.16 for one game

Sports University = $31.25 for one game

Out of these, Football State University gives the best deal on football tickets.

5 0

4 years ago

Read 2 more answers

<ABD has a measure of 36 degrees. a)find the compliment of the angle b)find the supplement of that angle

victus00 [196]

A) The complement of an angle is the other angle that can be added to the original to add up to 90 degrees. The complement of <ABD would be 90-36=54

b) The supplement of an angle is whatever number can be added to the original to add up to 180 degrees. The supplement of <ABD would be 180-36=144

6 0

3 years ago