Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function h(x) = 200. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)x−1. Explain how Victoria can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $200. Justify your reasoning.

WILL GIVE BRANLIEST

Answer:

4 weeks per level

Step-by-step explanation:

notice the pint (1,4)

the next is (2, 8)

meaning that in 4 weeks she completes 1 level and in 8 weeks she completes 2 levels.

Answer:

28.26

Step-by-step explanation:

A = (3.14)(3)^2

A = 3.14 * 9

A = 28.26

Answer:

28.26

Step-by-step explanation:

The area of a circle is

A = pi r^2  where r is the radius

A = 3.14 ( 3)^2

A = 3.14 *9

28.26

Answer:

Step-by-step explanation:

[tex](x - 1) \: and \: (x - 5)[/tex]

I hope that is useful for you :)

The factors of the quadratic function whose graph is given are (-x -1) and ( x-5).

Factor of a quadratic equation is any monomial or binomial which divides the quadratic equation without leaving any remainder.

Factoring a quadratic equation can be defined as the process of breaking the equation into the product of its factors.

The solutions of a quadratic equation represent the values of x that make the equation true. And the solutions to any equation are the x-intercepts of that equation.

According to the given question

We have a graph of a quadratic equation and x intercepts -1 and -5.

⇒ we have two points (-1,0) and (-5,0)

⇒ -1 and -5 will be the solution of the quadratic function.

⇒ x = -1  and x = -5

⇒ x+ 1= 0 and x + 5 = 0

or -x -1 = 0 and x+5 = 0

Therefore, the factors of the quadratic function whose graph is given are (-x -1) and ( x-5).

Learn more about the factors of a quadratic function here:

https://brainly.com/question/19525535

#SPJ2

Given:

Diameter of the tennis ball = 14 inches.

Three tennis balls are fit in a cylindrical tennis ball cane.

To find:

The volume of air left between the balls and the cane​.

Solution:

Diameter of the tennis ball = 14 inches.

Radius of the tennis ball = 7 inches

Radius of tennis ball is equal to radius of cane. So,

Radius of the cane = 7 inches

Height of cane is:

[tex]3\times 14=42[/tex] inches

Volume of a ball is:

[tex]V_1=\dfrac{4}{3}\pi r^3[/tex]

Where, r is the radius of the ball.

So, the volume of 3 ball is:

[tex]V_2=3\times V_1[/tex]

[tex]V_2=3\times \dfrac{4}{3}\times \dfrac{22}{7}\times (7)^3[/tex]

[tex]V_2=4312[/tex]

Volume of the cane is:

[tex]V_3=\pi r^2h[/tex]

Where, r is the radius of the cane and h is the height of the cane.

[tex]V_3=\dfrac{22}{7}\times (7)^2\times 42[/tex]

[tex]V_3=6468[/tex]

Now, the volume of air left between the balls and the cane​ is:

[tex]V=V_3-V_2[/tex]

[tex]V=6468-4312[/tex]

[tex]V=2156[/tex]

Therefore, the volume of air left between the balls and the cane​ is 2156 cubic inches.

Answer:

y = x

Step-by-step explanation:

So what we're going to want to do here is use the slope formula and the general equation y = mx + b.

Let's start.

The slope formula is y2-y1/x2-x1. So, put our points in here. 4-0/4-0. Slope: 1.

Okay, we have that. Now, a line that passes through the origin (0,0) is not going to have a y-intercept because it hits the y-axis at 0. So, that cancels out the b.

With our slope 1, the answer is just y = x. Very simple equation.

Hope this helped!

Answer:

[tex]Domain = (-\infty,\infty)[/tex]

Step-by-step explanation:

The function is not given; So, I will answer this question using

[tex]f(x) = 1.6x - 2[/tex]

Required

The domain

In [tex]f(x) = 1.6x - 2[/tex],

- there is no fraction where x is in the denominator

- there is no root where x is in the radicand

This means that, there is no restriction on x.

Hence, the domain is:

[tex]Domain = (-\infty,\infty)[/tex]

Answer:

A. (negative infinity, infinity)

Step-by-step explanation:

Answer:

12/59

Step-by-step explanation:

-1/2x3/5÷(-59/40)

-3/10÷(-59/40)

-3/10*-(40/59)

120/590

12/59

Answer:

-1

Step-by-step explanation:

answer is -1.

............

-1

-1 is the answer to the question

Answered by Gauthmath must click thanks and mark brainliest

i think the question is incomplete.Then what happened???? And what to find???

Step-by-step explanation

The orange machine, the very end of the shovel part. That line is a slope. The middle part of the scooper could also be a slope. The very beginng part of the scooper is also a slope.  The bottom part of the scooper is also a slope. The bottom part at the end of the scooper could also be slope.

Answer:

[tex]y = \boxed0[/tex]

Step-by-step explanation:

we are given a sin function

[tex] \displaystyle h(x) = - 4 \sin(x -\pi /4) [/tex]

we want to figure out the midline of the function graphically The midline of a sinusoidal function is the horizontal line that passes exactly in the midline of its extreme value however since we a function recall that,

[tex] \displaystyle f(x) = a \sin(bx -c) + d[/tex]

where the midline is

to figure out the midline rewrite the function

[tex] \displaystyle h(x) = - 4 \sin(x -\pi /4) + 0[/tex]

therefore the midline is

[tex]y = \boxed0[/tex]

Hi there!

[tex]\large\boxed{0, 3}[/tex]

Find the y-intercept by substituting in 0 for x:

f(0) = 0² + 2(0) + 3

Simplify:

f(0) = 3

Answer:

0,3

hope this helped !!!

Step-by-step explanation:

Answer:

(4 + 8) * 6  - 2  

Step-by-step explanation:

P - Parenthesis

E - Exponent

D - Division

M = Multiplication

A -  Addition

S - subtraction

(4 + 8) * 6  - 2  = 12 *6 - 2    

                        = 72 - 2

                        = 70

Answer:

d.) ( 4 + 8 ) × 6 - 2

Step-by-step explanation:

( 4 + 8 ) × 6 - 2

Add 4 and 8.

Multiply; 12 by 6.

Subtract 2 from 72.

Answer:

true

Step-by-step explanation:

:)

Answer:

392.7 cubic centimeters. Hope that helps :)

Step-by-step explanation:

Answer:

3 is the missing value

Step-by-step explanation:

Given

[tex]24 + 12 = \_ * (8 + 4)[/tex]

Required

Complete the blank

The model is not given; but the question can still be solved.

We have:

[tex]24 + 12 = \_ * (8 + 4)[/tex]

Add 8 to 4

[tex]24 + 12 = \_ * 12[/tex]

Add 24 to 12

[tex]36= \_ * 12[/tex]

Divide both sides by 12

[tex]3= \_[/tex]

Rewrite as:

[tex]\_ = 3[/tex]

Hence, the blank will be completed with 3

Answer:

a

Step-by-step explanation:

edg 2021

Question seems incomplete as the initial amount Roy has isn't given. Kindly provide Roy's initial amount

Answer:

Step-by-step explanation:

Answer:

its 380

(TRUST ME)

Step-by-step explanation:

Answer:

2/15

Step-by-step explanation:

I think not 100% on this but not so sure-

Subtract 5 1/10 from 5 3/4

5 3/4 - 5 1/10

• Subtract the whole numbers (5 and 5)

5 - 5 = 0

• LCM of the denominators (4 and 10)

= 13/20

She put an extra 13/20

Answer:

63.4

Step-by-step explanation:

Area of arc is (pi*(11)^2*(60/360))=63.4

Answer:

13°

Step-by-step explanation:

Cosine formula: a² = b² + c² - 2(b)(c)cos(a)

8² = 21² + 14² - 2(21)(14)cos(x)

64 = 441 + 196 - 588cos(x)

Bring constants to one side

64 = 441 + 196 - 588cos(x)

-441  -441  -196

-196

-573 = -588cos(x)

Divide by the coefficient

-573/-588 = -588cos(x)/-588

cos(x) = 573/588

To find x you need to use arcsin or cos^-1

x = arccos(573/588) = 12.969°

Answer:

[tex]\displaystyle 13° = m∠X[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x^2 + y^2 - z^2}{2xy} = cos∠Z \\ \frac{x^2 - y^2 + z^2}{2xz} = cos∠Y \\ \frac{-x^2 + y^2 + z^2}{2yz} = cos∠X \\ \\ \frac{-8^2 + 14^2 + 21^2}{2[14][21]} = cos∠X → \frac{-64 + 196 + 441}{588} = cos∠X → 0,9744897959... = cos∠X \\ \\ 12,969468847...° = cos^{-1}\:0,9744897959... \\ \\ 13° ≈ 12,969468847...°[/tex]

As you can see, the inverse function MUST be used towards the end of your result, or elce you will throw it off!

I am joyous to assist you at any time.

Answer:

I think the answer is 1/2

Step-by-step explanation:

because

12x=6

x=6/12

•°•x=1/2

Answer:

Hello,

3.85

Step-by-step explanation:

[tex]Number\ of\ customers=3+0+5+3+7+2=20\\\\mean=\dfrac{1*3+2*0+3*5+4*3+5*7+6*2}{20} =\dfrac{77}{20} =3.75[/tex]

Answer:

1

Step-by-step explanation:

As can be seen, for h(t) where t is a multiple of 6, we get -6. Since 150 is a multiple of 6, 153 is 3 more and since the graph visually repeats every 6 units, we can see that h(t) when t is a (multiple of 6) + 3 = 1

Thus h(153)=1

Answer:

<C + <D = < DEK

<D = 40

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

<C + <D = < DEK

60 + <D = 100

<D = 100 -60

<D = 40

Answer:

[tex]60+m\angle D=100[/tex]

[tex]m\angle D=100-60[/tex]

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

Hope it helps...

Answer:

2, 3, 5, 7, 11

Step-by-step explanation:

jajwjendnna1ll4tllsqk2nenqn

Answer:

2, 3, 5, 7, 11

Step-by-step explanation:

just list all the numbers that are only divisible by itself and 1

1 is just not a prime number

not 4 because it has factors 2x2 as well

not 6 because it has factors 3x2

not 8 because it has factors 4x2

not 9 because it has factors 3x3

Answer:

x = 9

Step-by-step explanation:

Given

5x - 31 = 23 - x ( add x to both sides )

6x - 31 = 23 ( add 31 to both sides )

6x = 54 ( divide both sides by 6 )

x = 9

Answer: X = 9

Step-by-step explanation: basically you solve it just like any other algebra equation. The only difference is that you have x’s on both sides. You have to move one of them over. I move the x to the right and I added it to the left side. 5x plus x is 6x. ( in case you didn’t already know an x never stands alone when you see one alone it always has an imaginary 1 beside it.) after I did that I tried to isolate 6x so I added 31 to 23. 31 plus 23 equals 54. I then had the equation 6x=54. The next thing I wanted to do was to isolate the x. I then dived 6 on both sides and got x= 9

Step-by-step explanation:

here's the answer to your question