Andy has $100 in an account. The interest rate is 6% compounded annually.

The time it take riders to pass over the hill and reach ground level is 111.19seconds

Given the roller coaster's height expressed by the function below;

h = -0.067t^2 + 7t + 50

where

t is the time in seconds

The driver will hit the ground at the point where h = 0

Substitute

-0.067t^2 + 7t + 50 = 0

Multiply through  by -1
0.067t^2 - 7t +-50 = 0

Factorize

On factorizing, the positive value of "t" is 111.19 seconds

Hene the time it take riders to pass over the hill and reach ground level is 111.19seconds

Learn more on functions here: https://brainly.com/question/25638609

Answer:

D) 111.19

Step-by-step explanation:

Step 1:

set h = 0

0 = -0.067t^2 + 7t + 50

Step 2:

multiply by -1

0 = 0.067t^2 - 7t - 50

Step 3:

My way may differ than your way but my is plug in all answer choices as t. If the answer choice equal to 0 meaning the answer.

A choice

0 = 0.067(13.40)^2 - 7(13.40) - 50

0 = 12.03 - 94.5 -50

0 = - 132.47

It doesn't equal to 0 meaning this choice is wrong answer

B choice

0 = 0.067(50.07)^2 - 7(50.07) - 50

0 = 167.96 - 350.49 - 50

0 = - 232.53

It doesn't equal to 0 meaning this choice is wrong answer

C choice

0 = 0.067(52.24)^2 - 7(52.24) - 50

0 = 182.84 - 365.68 - 50

0 =  - 232.84

It doesn't equal to 0 meaning this choice is wrong answer

D choice

0 = 0.067(111.19)^2 - 7(111.19) - 50

0 = 828.33 - 778.33 - 50

0 = 0

It does equal to 0 meaning this choice is right answer

The answer is D) 111.19

Pls give me brainiest (I worked hard for this)

Answer:

rectangular is 114ft and triangular is 112ft

Step-by-step explanation:

Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT

Since VR = length * width and height

VR = 6*x*3

VR = 18x ft³

Also VT =  Length *width * Height/2

VT = (7 * x * 4)/2

VT = 28x/2

VT = 14xft³

Since VR = 32 + VT

18x = 32+(14x)

collect like terms

18x-14x = 32

4x = 32

divide both sides by 4

4x/4 = 32/4

x = 8

Volume of the rectangular prism = 18x

Volume of the rectangular prism = 18*8

Volume of the rectangular prism = 144ft³

Volume of the right triangular prism = 14x

Volume of the rectangular prism = 14*8

Volume of the rectangular prism = 112ft³

[tex]\begin{cases} f(x)=x^2\\ g(x)=x-3 \end{cases}\qquad \qquad (g\circ f)(x)\implies g(~~ f(x)~~) \\\\[-0.35em] ~\dotfill\\\\ f(3.5)=(3.5)^2\implies f(3.5)=12.25 \\\\\\ g(~~ f(3.5)~~)\implies g(~~ 12.25~~)=(12.25)-3\implies \stackrel{(g\circ f)(3.5)}{g(~~ 12.25~~)}=9.25[/tex]

The plane has intercepts

y = z = 0   ⇒   3x = 6   ⇒   x = 2

x = z = 0   ⇒   2y = 6   ⇒   y = 3

x = y = 0   ⇒   z = 6

and thus passes through the points (2, 0, 0), (0, 3, 0), and (0, 0, 6).

Parameterize the portion of the plane (call it P) by the vector function,

[tex]\vec r(s,t) = \left\langle 2(1-s)(1-t), 3s(1-t), 6t \right\rangle[/tex]

where 0 ≤ s ≤ 1 and 0 ≤ t ≤ 1.

Compute the normal vector to P :

[tex]\vec n = \dfrac{\partial \vec r}{\partial t} \times \dfrac{\partial \vec r}{\partial s} = -\left\langle 18-18t, 12-12t, 6-6t \right\rangle[/tex]

Then the flux of F through P is given by the surface integral,

[tex]\displaystyle \iint_P \vec F \cdot d\vec S = \int_0^1 \int_0^1 \left\langle 6s(1-s)(1-t)^2, 90st(1-t), 72t(1-s)(1-t) \right\rangle \cdot \vec n \, ds \, dt \\\\ = - \int_0^1 \int_0^1 \left(108(t-1)^3 s^2 + 108(t-1)^2(5t+1) s + 432t(t-1)^2\right) \, ds \, dt \\\\ = - \int_0^1 18(t-1)^2(41t+1) \, dt \\\\ = \boxed{-\frac{135}2}[/tex]

Answer:

52 cm

Step-by-step explanation:

The only tricky part is getting the not measured side. However, you have a portion of it. 16-11=5, and that is the missing side. Then just add everything together.

Answer:

36 km^2

Step-by-step explanation:

We will use the way to find the area of trapezoids which is b+b/2 *h and that is 3+5/2 * 9 so 8/2 is 4 and 4*9=36

Answer:

144040.3333

Step-by-step explanation:

275*523 = 143825

19x34/3 = 215.3333333

so add them up to get 144040.3333

Answer:

144040.333333

Step-by-step explanation:

start with parenthesis (275x523)

This would get you, 143825.

Next, you would do, (19x34/3)

That would get you, 215.333333333.

Finally, you would add the two numbers together and get a product of 144040.333333.

Answer:

[tex]ab( {a} ^{2} + {b)}^{2} \\ [/tex]

[tex] {a}^{ 3} b + a {b}^{3} [/tex]

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width to the big square is 60cm. The length to the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

⋅

W

=

56

⋅

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

⋅

W

=

24

⋅

34

=

816

The area enclosed is the area of the big square minus the area of the little square.

3360

−

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

its c i dont know what the words say tho i need to read what it say first.

The entrance fee is d dollars, and the meal ticket is $4 less than the entrance fee -> Each meal ticket is d - 4

So, the total amount that the friends pay is 5(d-4)

Answer:

outside the circle

sorry if I'm wrong

Answer:

Equation of straight line is y=Mx+X

or, y-7=-1/5x(x-(-1)

Hence y-7=-1/5x(x-(-1) is the required equation.

Answer:

ok i heres the answer

Step-by-step explanation:

there you go have a nice day

Answer:

approximately 300 yards per minute

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

9+10=19

11+8=19

Hope it Helps

The height of the stump tree which can be modeled by considering it as a right cylinder is 35.9 inches.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Since the base of a cylinder is circular in shape, the circumference is expressed as;

C = 2πr

Given that the circumference of the base is 84 in, we can now calculate the radius r.

C = 2πr

84in = 2 × 3.14 × r

84in = 6.28 × r

r = 84in / 6.28

r = 13.4in

Now, the Radius of the cylinder r = 13.4in and its volume = 20214in³, we substitute this values into the expression for volume of cylinder above to find the height h.

V = π × r² × h

20214in³ = 3.14 × ( 13.4in)² × h

20214in³ = 3.14 × 179.56in² × h

20214in³ = 563.8in² × h

h = 20214in³ / 563.8in²

h = 35.9in

Therefore, the height of the stump tree which can be modeled by considering it as a right cylinder is 35.9 inches.

Learn more about volume of cylinder here: brainly.com/question/16788902

#SPJ1

Answer:

540 Mies per hour

Step-by-step explanation:

add 600 and 480 then divide by 2

Alyssa's average speed on the round trip is 540 Mies per hour.

We have given,

The speed of the jet Alyssa flew on from Boston to London was 480

mph.

On her return flight, the speed of the jet was 600 mph with a tail

wind.

[tex]average speed=\frac{a+b}{2}[/tex]

a=inital speed

b=final speed

add 600 and 480 then divide by 2

That can be given by

[tex]=\frac{600+480}{2}\\\\=\frac{1080}{2}\\\\=540[/tex]

Alyssa's average speed on the round trip is 540mph.

To learn more about the average speed visit:

https://brainly.com/question/4931057

Answer:

Step-by-step explanation:

The interest amount per year is

Number of years is

Answer:

2 years

Step-by-step explanation:

Simple Interest Formula

I = Prt

where:

Given:

Substitute the given values into the formula and solve for t:

⇒ 150 = 2500(0.03)t

⇒ 150 = 75t

⇒ t = 150 ÷ 75

⇒ t = 2

Therefore, it will take 2 years to collect $150 in interest.

Scale of the new blueprint: 2 inches = 2.5 feet (or 4 inches = 5 feet)

Width of the new blueprint: 14.4 inches

In a circle, angles subtended by the same arc at the circumference are equal. This means that angles in the same segment are equal.

Using this equation, we can create the following equation:

[tex]4x=3x+10[/tex]

For which we can solve to get:

[tex]x=10[/tex]

Hope this helps!

Answer:

Question 23) 12 x 6√3 = 72√3

Question 24) 672 cm³

Answer: The slope is 1

Step-by-step explanation:

We can see that between the two points it goes up 2 units (rise) and right 2 units (run).

Since slope is [tex]\frac{rise}{run}[/tex] we can sub in the values to find the answer

[tex]\frac{rise}{run}=\frac{2}{2} =1[/tex]

Answer:

[tex]\displaystyle -7[/tex]

Explanation:

[tex]\displaystyle \boxed{-7} = \frac{14}{-2}[/tex]

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

To solve this problem, you have to find the value of x to isolate it on one side of the equation.

First, you divide by -2 from both sides.

-2x/-2=14/-2

Solve.

Divide these numbers from left to right.

14/-2=-7

x=-7

Answer:

The polynomial of degree 3 ,P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1 at x=−1. The y-intercept is y=−0.2

Answer:

I did how you told us to do it and I came up with 98 im not sure if that the right answer but I try to help

Answer:

See below

Step-by-step explanation:

Remember    S-O-H-C-A-H-T-O-A

   Sin = Opp / Hyp

    Cos = Adjacent  / Hyp

      Tan =Opp / Adj

You didn't say WHICH angle is X  , so you will have to finish this !

Answer:

67

Step-by-step explanation:

Complementary angles add to 90 degrees

<A + <B = 90

x+10  + 3x+28 = 90

Combine like terms

4x+38 =90

Subtract 38 from each side

4x+38-38 = 90-38

4x = 52

Divide by 4

4x/4 = 52/4

x = 13

We want to find <B

<B = 3x+28

   = 3(13) +28

   = 39+28

  =67