I need help with This rate of change question

Answer:

a) [tex]C(t)=245,000\cdot(1.035)^t[/tex]

b) Nicki's house is worth $281,143 in 4 years

Step-by-step explanation:

Exponential Growth Function

The exponential function is commonly used to model natural growing or decaying processes where the change is proportional to the actual quantity.

An exponential growth function is expressed as:

[tex]C(t)=C_o\cdot(1+r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the growth positive rate, expressed in decimal

Nicki paid Co=$245,000 for a house and it's known that home prices increase by r=3.5%=0.035 each year.

a)

Substituting the given values, the equation is:

[tex]C(t)=245,000\cdot(1+0.035)^t[/tex]

[tex]\mathbf{C(t)=245,000\cdot(1.035)^t}[/tex]

b) The value of Nicki's house in t=4 years is:

[tex]C(4)=245,000\cdot(1.035)^4[/tex]

[tex]C(4)=245,000\cdot 1.148=281,143[/tex]

Nicki's house is worth $281,143 in 4 years

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as g(x) is not properly written.

I'll assume the following:

[tex]f(x) = 3x^2 - 15[/tex]

[tex]g(x) = 1- 2x[/tex]

Required

Determine (f o g)(-6)

In functions:

(f o g)x = f(g(x))

So:

[tex](f o g)(-6) = f(g(-6))[/tex]

First, we calculate g(-6)

[tex]g(x) = 1- 2x[/tex]

[tex]g(-6) = 1 - 2*-6[/tex]

[tex]g(-6) = 13[/tex]

Substitute 13 for g(-6) in [tex](f o g)(-6) = f(g(-6))[/tex]

[tex](f o g)(-6) = f(13)[/tex]

Next, we calculate f(13)

[tex]f(x) = 3x^2 - 15[/tex]

[tex]f(13) = 3 * 13^2 - 15[/tex]

[tex]f(13) = 3 * 169 - 15[/tex]

[tex]f(13) = 492[/tex]

Hence:

[tex](f o g)(-6) = 492[/tex]

Use the above analysis and explanation to answer your question

36 ft

Step-by-step explanation:

Since there is a right angle been formed, you will minus 90 from 40 = 50. Then you will add it to 46 = 96.

Since there is another right angle been formed you will also subtract 90 from 30 = 60.

Then to find the distance from the cat to the fireman you will subtract 96 from 60 =36.

Therefore your answer is 36 ft

Answer:

If two lines are cut by a transversal and the consecutive exterior angles are supplementary, then the two lines are parallel.

Step-by-step explanation:

Keep in mind you do not need to check every one of these 12 supplementary angles. Just checking any one of them proves the two lines are parallel!

Answer:

B UvU

Step-by-step explanation:

Answer:

6 cookies

Step-by-step explanation:

simple math

Here, punch this in the calculator, or use your brain

75%8 = 6

Answer:

ok

Step-by-step explanation:

ok

Answer:

ECD=87

Step-by-step explanation:

Answer:

You need to give us a picture or numbers or something I can't answer that.

Step-by-step explanation:

=================================================

Explanation:

For this problem, we can make a lattice multiplication diagram. Place the digits of 124 across the top of the lattice multiplication box. Then place the digits along the right hand side of the box. Refer to figure 1 in the diagram below. I've color-coded the alternating bands of diagonals to help be able to add the values we need.

In figure 2, I multiplied all of the outer header single-digit values to get two-digit results. For instance, in the bottom right corner we have 4*3 = 12. Note how the 1 and the 2 of "12" is broken up like you see in figure 2. It's important to separate out the digits like this.

This is because we'll be adding along the diagonal color bands. The 2 in the white triangle in the very bottom right corner is the last digit of the product. This matches with 64086e2 having 2 as the last digit.

Then we add along the diagonal pink color band getting 6+1+2 = 9. This is the digit e. So e = 9 (refer to figure 3). The number 64086e2 updates to 6408692

We could keep going with the lattice process, but I'll stop here and move onto the next section below.

---------------------------------------------

Let m = 6408692

We can do trial and error to determine what d must be equal to. The list of choices we have are {0,1,2,3,4,5,6,7,8,9}

So let's go through those possible values of d

Since d = 6 and e = 9, this means d+e = 6+9 = 15.

Answer:

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

11 √2

Step-by-step explanation:

The kind of triangle we have here is the 45 triangle

In this kind of triangle, the adjacent and the opposite are the same

The ratio of the sides are;

1:1: √2

The root represents the length of the hypotenuse

so the length is 11 multiplied by √2 = 11 √2

The length of the hypotenuse will be 11 √2 . Option B is correct.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

From ΔABC it is obtained that;

The ratio of the sides for the triangle having 45° is;

1:1: √2

The root represents the length of the hypotenuse. If the base of the triangle is in the ratio of 1. If we multiply the base value with the ratio of the hypotenuse then we got ;

h=√2

h= 11 ×√2

h=11√2

Hence,the length of the hypotenuse will be 11 √2

To learn more about trigonometry, refer to the link

https://brainly.com/question/26719838.

#SPJ5

Answer:

maybe take off the ( and then add the numbers then see tht from there and maybe subtract

Step-by-step explanation:

Answer:

(a) show all sides to be congruent

Answer:

44+18x-3=6+25x

41+18×=6+25x

35=7x

×=5

9514 1404 393

Answer:

  72.18°

Step-by-step explanation:

The altitude of the front is 28 ft. It cuts the base in half, so the other leg of the right triangle is (18 ft)/2 = 9 ft. You know the tangent relation is ...

  Tan = Opposite/Adjacent

The angle of interest has opposite side 28 ft and adjacent side 9 ft, so we have ...

  tan(elevation angle) = (28 ft)/(9 ft)

  elevation angle = arctan(28/9)

  elevation angle ≈ 72.18°

Answer:

9/10, 80, and 16

Step-by-step explanation:

If 0.9 is what it was (can't read it lol) then that's like 9/10

And just multiply 16 by 5 is 80 so it's 20% of 80

And the last one is 16$

Answer:

The second one is B so 80 :)

Step-by-step explanation:

Answer:

f(x) = x² - 9

Step-by-step explanation:

Given x = a is a zero of the polynomial f(x) then (x - a) is a factor

Given zeros are x = 3 and x = - 3, then corresponding factors are

(x - 3) and (x - (- 3) ), that is

(x - 3) and (x + 3)

The function is then the product of the factors, that is

f(x) = (x - 3)(x + 3) ← expand using FOIL

f(x) = x² - 9

Answer:

2. [tex]y = x + \frac{3}{8}[/tex]

3. y = 3x + 4

Step-by-step explanation:

M = 1, b = 3/8

y = x + 3/8

3.

(3,5) and (0,4)

Find the distance between them to find the slope (x) and the y-intercept is 4. It's (0,4) because the y-intercept is when the x-intercept is at zero so, all you find is the distance

3,5

0,4

= -3, -1, so,

the slope is -3/-1 or 3/1 which can be easily rounded to 3x.

so,

y = 3x + 4

Ace Carlos

This is an equation.

See attachment for math work and answer.

Step-by-step explanation:

12x + 9x - 3 = 3(2x + 14)

12x + 9x - 3 = 6x + 42

21x - 3 = 6x + 42

21x - 6x = 42 + 3

15x = 45

15x/15 = 45/15

x = 3

Answer:

Please check explanations for answers

Step-by-step explanation:

a) The variable replacing y is g

The units are gallons

b) The variable replacing x is t

The units are minutes

c) We compare this with the general form of a straight line equation

g = 4t + 8

compared with y = mx + b

so we can see that b is 8 here

Putting the units , the intercept is 8 gallons

This means that at zero minute, or initially , the amount of gas in the truck’s tank is 8 gallons

In other words, the amount of gas in the tank of the truck before it started refueling in the gas station is 8 gallons

d) The slope is 4 gallons/minute

What the slope represents is the filling rate

It is simply the amount of gallons entering the gas tank per minute as the gas tank is refueling

Answer:

$4

Step-by-step explanation:

Trey sold his $80 hockey stick for 25% less. This means that he received 75% of the $80. Convert the percentage to a decimal, so it will be .75. Multiple .75 by $80 and you will get the final answer which is $60.

Brandon sold his $80 hockey stick for 30% less. This means that he received 70% of the $80. Convert the percentage to a decimal, so it will be .70. Multiple .70 by $80 and you will get the final answer which is $56.

Trey received $4 more for his hockey stick.

Answer: its 4y

Step-by-step explanation:

Answer:

She should of used quotient rule since the beginning but if not its step 2

Step-by-step explanation:

we need pictures bud

Answer:

6.25 minutes

Step-by-step explanation:

First, let's simplify it down. We want to find out how many shirts she can fold in 1 minute, then multiply that by 50.

20 shirts in 2.5 minutes

20 shirts = 2.5 minutes

An equals sign is like a see-saw. If you do something to one side, you have to do it to the other side. To get 20 shirts to 1 one shirt, divide by 20. You have to do that to the other side to make it equal.

(20 divided by 20) = (2.5 divided by 20)

1 shirt = 0.125 minutes.

That's how long it takes to fold 1 shirt. To find the time for 50 shirts, multiply that by 50.

0.125 x 50 = 6.25

It will take Carrie 6.25 minutes to fold 50 shirts. Hope this helped =)

The number of minutes that it takes her to fold 50 shirts will be 6.25 minutes.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Carrie can fold 20 shirts in two and a half minutes. Then the rate is calculated as,

Rate = 20 / (2.5)

Rate = 8 shirts per minute

If she continues at this rate. Then the number of minutes that it takes her to fold 50 shirts will be given as,

⇒ 50 / 8

⇒ 6.25 minutes

The number of minutes that it takes her to fold 50 shirts will be 6.25 minutes.

More about the rate link is given below.

https://brainly.com/question/14731228

#SPJ2

Answer:

Crystian bought 5 packs of cards.

Answer:

Christian bought 5 packs of cards

Step-by-step explanation:

106 - 46 = 60

60 ÷ 12 = 5