Jimmy buys 12 songs on iTunes for $15.48. The Unit Rate is _______

(3 points)

Snezhnost [94]

Answer:

The exponential Function is $20+12h=200$ .

Farmer will have 200 sheep after 15 years.

Step-by-step explanation:

Given:

Number of sheep bought = 20

Annual Rate of increase in sheep = 60%

We need to find that after how many years the farmer will have 200 sheep.

Let the number of years be 'h'

First we will find the Number of sheep increase in 1 year.

Number of sheep increase in 1 year is equal to Annual Rate of increase in sheep multiplied by Number of sheep bought and then divide by 100.

framing in equation form we get;

Number of sheep increase in 1 year = $\frac{60}{100}\times20 = 12$

Now we know that the number of years farmer will have 200 sheep can be calculated by Number of sheep bought plus Number of sheep increase in 1 year multiplied by number of years is equal to 200.

Framing in equation form we get;

$20+12h=200$

The exponential Function is $20+12h=200$ .

Subtracting both side by 20 using subtraction property we get;

$20+12h-20=200-20\\\\12h=180$

Now Dividing both side by 12 using Division property we get;

$\frac{12h}{12} = \frac{180}{12}\\\\h =15$

Hence Farmer will have 200 sheep after 15 years.

6 0

3 years ago

Find the x and y intercepts of the equation. Express your answers as points. 5 x + 7 y = − 140

iVinArrow [24]

Answer:

x-intercept(s): (-28, 0)

y-intercept(s): (0, -20)

Step-by-step explanation:

Try This Answer.

5 0

3 years ago

In right triangle ∆ABC, ∠A=36°. Find the measure of the other acute angle: ∠B. 54° 64° 24° 36°

vlabodo [156]

(36+90)+C=180
126+C=180
C=180-126
=54
Answer=54

6 0

4 years ago

Read 2 more answers

Find the perimeter of the following shape, rounded to the nearest tenth:

Mademuasel [1]

Answer:

B, 19.1

Step-by-step explanation:

Imagine that each side is the hypotenuse of a triangle. You want to use the Pythagorean theorem on each of these triangles to find the length of the side.

Let's start with AB:

One side of the triangle is the distance between the points in the x direction only. A is at the x-coordinate of -3 while B is at the x-coordinate of 2. The side is, thus, 5 units.

The other side of the triangle is the distance between the points in the y direction only. A is at the y-coordinate of 5, while B is at 6. The distance is 1 unit.

So we have a triangle with the base of 5 and the height of 1. The Pythagorean theorem says:

Base² + Height² = Hypotenuse²

Or

a² + b² = c²

where a, b are the sides, and c is the hypotenuse.

Put our values into this, the base is 5 and the height is 1:

5² + 1² = c²

25 + 1 = 26 = c²

c = √26 ≈ 5.1

Repeat this for the lengths BC, CD, and DA.

BC

x-difference = 2

y-difference = 4

4² + 2² = c²

20 = c²

c = √20 ≈ 4.47

CD

x-difference = 5

y-difference = 1

(since this is the same as AB we can use that value ≈ 5.1 )

DA

x-difference = 2

y-difference = 4

(since this is the same as BC, we can use that value ≈ 4.47)

Add all these together:

5.1 + 5.1 + 4.47 + 4.47 ≈ 19.14

(Note: this is not exact, but it's good enough for this purpose)

The closest option to this is B, 19.1 - thus, B is the answer.

5 0

3 years ago

What is the slope shown below?

UkoKoshka [18]

Answer:

A

Step-by-step explanation:

To calculate the slope m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, - 7) and (x₂, y₂ ) = (9, 1) ← 2 points on the line

m = $\frac{1+7}{9+3}$ = $\frac{8}{12}$ = $\frac{2}{3}$

7 0

3 years ago

Jimmy buys 12 songs on iTunes for $15.48. The Unit Rate is ________ per song.