Will mark brainliest!

Given:

The given equation is

[tex]60=5(1.07)^x[/tex]

To find:

The initial value and growth/decay factor.

Solution:

The general exponential growth/decay model is

[tex]y=a(1+r)^x[/tex]     ...(i)

where, a is initial value, if r>0, then |r| is growth factor, if r<0, then |r| is decay factor and x is time.

We have,

[tex]60=5(1.07)^x[/tex]

It can be written as

[tex]60=5(1+0.07)^x[/tex]        ...(ii)

On comparing (i) and (ii), we get

[tex]a=5\text{ and }r=0.07[/tex]

Here, initial value is 5 and growth factor is 0.07, i.e., 7%.

Therefore, the correct option for first question is d and correct option for second question is a.

Answer:

see image

Step-by-step explanation:

Plato/Edmentum

Answer:

1 pound of grapes cost 3$

Step-by-step explanation:

If 2 pounds of grape cost 6$ then 1 pound of grape cost 3$ Since 1 is half of 2 and 3 is half of 6

Answer:

88%

Step-by-step explanation:

No Johnny boy did not

Answer:

480

Step-by-step explanation:

270/4.5=60

60 x 8 = 480

Answer:

480 miles

Step-by-step explanation: First Divide 270 by 4.5 to get 60 mph then multiply 60 time 8 then you will get 480

Answer:

A is answer

Step-by-step explanation:

Cuz once you solve it isn't a fraction any more

I think

Answer:

what line are you talking about

Answer:

[tex]m=2[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, 8)

Point (-6, -8)

Step 2: Find slope m

Answer:

.5 of a minute

Step-by-step explanation:

Answer:

3 zeros

Step-by-step explanation:

The given function is   4x^3-x^2-2x+1

Because it is a polynomial function with degree 3>0 , Therefore by corollary of fundamental theorem of algebra , it has 3 zeroes.

Answer:

Step-by-step explanation:

4x3 − x2 − 2x + 1

I show one zero. X= - 0.78769256

Step-by-step explanation:

using Pythagoras theorem adjacent will be 15

so cos will be adjacent/hypotenuse

which is 15/17=0.882

Answer: C) 5/n+3

Step-by-step explanation:

Answer:

i think it is 15v (E) = √(2E/m)

Step-by-step explanation:

From the question given:

E = ½mv²

E is the kinetic energy

m is the mass of object

v is the velocity.

To find a model v(E) for the velocity of the object, we simply make V the subject of the above equation.

This can be obtained as follow:

E = ½mv²

Cross multiply

mv² = 2E

Divide both side by m

v² = 2E/m

Take the square root of both side

v = √(2E/m)

Therefore, the model v(E) for the velocity of the object is given by:

v (E) = √(2E/m)

The inverse function v(E) to find the velocity of a 15-kilogram object

with kinetic energy E should be [tex]15v (E) = \sqrt (2E/m)[/tex]

Since we know that

[tex]E = 1\div 2mv^2[/tex]

Here,

E is the kinetic energy

m is the mass of object

v is the velocity.

Now we can write like

[tex]mv^2 = 2E[/tex]

So,

[tex]v^2 = 2E/m[/tex]

Now Take the square root of both side

So,

[tex]v = \sqrt (2E/m)\\\\v (E) = \sqrt (2E/m)[/tex]

Learn more about function here: https://brainly.com/question/24580305

Answer:

(0,1)

Step-by-step explanation:

It that graph cross the y-axis, x haves to be 0. If you pass a wall (y), you have to be alingned to go throught (x=0). Then you replace:

[tex]y = 9^{x}[/tex]

[tex]y = 9^{0}[/tex]

[tex]y = 1[/tex]

x=0 ; y=1

Answer:

17

Step-by-step explanation:

Answer:

1115322

Step-by-step explanation:

In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.

Claimed statement is he worst is yet to come, with an earthquake 142,990 times  as intense as the 1906 earthquake ready to hit San Francisco.

We need to find the magnitude of their  claimed earthquake.

It can be calculated by simply multiplying 142,990 by 7.8 as follows :

[tex]E=142990 \times 7.8\\\\=1115322[/tex]

The magnitude of claimed earthquake is 1115322 .

Using the earthquake intensity relation on the Ritcher scale, the magnitude of the claimed earthquake would be 13.0

Uisng the relation :

Substituting the values into the equation :

[tex] M_{a} - 7.8 = log(142990) [/tex]

[tex] M_{a} - 7.8 = 5.1553056 [/tex]

[tex] M_{a}= 5.1553056 + 7.8 [/tex]

[tex] M_{a} = 12.955 [/tex]

Therefore, the magnitude of the claimed earthquake would be 13.0

Learn more : https://brainly.com/question/15948176

Answer:

His 2013-2014 salary will be $503,230

Step-by-step explanation:

His new salary will be

490,000 + 2.7% of 490,000

= 490,000 + (2.7/100 * 490,000)

= 490,000 + 13,230

= $503,230

Answer:

60

Step-by-step explanation:

Answer:

The general form of an exponential function is

             .... (1)

Where, a is initial value and b is growth or decay factor.

If b>1, then it is an increasing function and if 0<b<1, then it is a decreasing function.

The given function is

          .... (2)

From (1) and (2) it is clear that

The value of a is 6. It means the initial value or y-intercept of the function is 6.

The value of b is 0.4, which is less than 1. It means the function is a decreasing function.

Let x be the following values: 1, 2, 3, 4 , 5.

Let f(x) = y.

I will do one only.

Let x = 1

y = 6•(0.4)^(1)

y = 6•(0.4)

y = 2.4

Your first point is (1, 2.4).

Do the rest in like manner. Then graph each point on the xy-plane and lastly connect each point with a smooth curve.

Got it?

Answer:

37

Step-by-step explanation:

37

Answer:

Sorry Its too small

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

plz mark brainliest :)

Answer:

Slope=− 1.083/1.083 =−0.542

x−intercept= 144/13 =11.07692

y−intercept= 144/24 =6.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Intercepts of a Line

The x-intercept of a given line is the point where the line crosses the x-axis and the y-intercept of a given line is the point where the line crosses the y-axis.

We are given the following line:

-12x + 18y = 108

To find the x-intercept, we set y=0 and solve for x:

-12x + 18*0 = 108

-12x = 108

x = 108 / (-12) = -9

The x-intercept is the point (-9,0)

To find the y-intercept, we set x=0 and solve for y:

-12*0 + 18y = 108

18y = 108

y = 108 / 18 = 6

The y-intercept is the point (0,6)

Answer:

12 hours

Step-by-step explanation:

Answer:

12 hours

Step-by-step explanation:

Answer:

y−28=3(x−6)

I took the test. I hope this helps

Answer:

Step-by-step explanation:

A number that goies in and later comes out as an 'output' the output is the result

Answer:

Step-by-step explanation:

∠1+∠2=180°

3x+x+36=180

4x=180-36=144

x=144/4=36°

∠1=3x=3×36=108°

∠2=x+36=36+36=72°

The measures of the angles are m∠1 = 108° and m∠2 = 72°.

Given,

m∠1 = 3x°

m∠2 = (x + 36)°

We need to find the measure of these angles.

The straight line angle is 180 degrees.

If the angle is split the sum must be equal to 180 degrees.

We have,

m∠1 = 3x°

m∠2 = (x + 36)°

The figure is at a straight-line angle.

So we have,

m∠1  + m∠2 = 180°

3x° +  (x + 36)° = 180

3x + x + 36 = 180

4x + 36 = 180

4x = 180 - 36

4x = 144

x = 144/4
x = 36

Now,

- m∠1

= 3x

= 3 x 36

= 108

- m∠2

= x + 36

= 36 + 36

= 72

Thus the measures of the angles are m∠1 = 108° and m∠2 = 72°.

Learn more about straight line angles here:

https://brainly.com/question/13037238

#SPJ2

Answer:

25

Step-by-step explanation:

at 3 weeks there would be 10,6 weeks would be 15,9 weeks 20, 12 weeks is 25