Which is calculated by using an exponential function?

simple interest on a $2,000 investment given the number of years

area of a square given the side length in centimeters

volume of a cube given the side length in inches

compound interest on a $2,000 investment given the number of compoundings

Answer:

The cylindrical one

Step-by-step explanation:

We know that the container does not have anything inside it, and we only want the surface, so we will figure out the surface area. The less surface area the package has, the less plastic is used.

The surface area for a cylinder is 2πrh +2πr². Plugging 5 in for r (the radius) and 19 in for the height, we get

2π(5)(19) + 2π(5)² = 753.98

The surface area for a rectangular prism is 2(wl + hl +hw), with 10 being the width, 12 being the length, and 19 being the height in this example, resulting in

2(10*12 + 19 * 12 + 10 * 19) = 1076

The surface area for the cylinder will clearly have less surface area/plastic

Answer:

x=34

Step-by-step explanation:

The angles are corresponding angles so they are equal if m is parallel to n

x+27 = 2x -7

Subtract x from each side

x+27 -x =2x-x-7

27 = x-7

Add 7 to each side

27+7 = x-7+7

34 =x

Answer:

Mike= 240 boxes

Sarah= 120 boxes

Step-by-step explanation:

Mike and Sarah are packing boxes at a company

Mike packs 30 boxes each hour, after an 8 hour shift the number of boxes he will pack is

= 30×8

= 240

Sarah packs 15 boxes each hour, afterr an 8 hour shift the number of boxes she will pack is

= 15×8

= 120

Hence after the 8 hours shift Mike will pack 240 boxes while Sarah will pack 120 boxes

Answer:

The amplitude is 3 and the period is 10π/9.

Step-by-step explanation:

The standard cosine function is in the form:

[tex]y=a\cos(b(x-c))+d[/tex]

Where |a| is the amplitude, 2π/b is the period, c is the phase shift, and d is the vertical shift.

We have the function:

[tex]f(x)=\displaystyle 3\cos\frac{9}{5}t[/tex]

We can rewrite this as:

[tex]\displaystyle f(x)=(3)\cos\left(\frac{9}{5}\left(t-0\right)\right)-(0)[/tex]

Therefore, a = 3, b = 9/5, c = 0, and d  = 0.

Hence, our amplitude is |3| = 3.

Our period will be:

[tex]\displaystyle \text{Period}=\frac{2\pi}{9/5}=2\pi \cdot \frac{5}{9}=\frac{10\pi}{9}[/tex]

Answer:hfhfhfh

Step-by-step explanation:

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Answer:

see below

Step-by-step explanation:

(3x + 8) units by (6x + 5) units.

A = l*w

  = (3x+8)(6x+5)

   Distribute

3x*(6x+5) + 8(6x+5)

18x^2 +15x + 48x +40

Combine terms

18x^2+63x+40  units^2

The degree is 2  ( the highest power of x)

This is a trinomial   ( it has 3 terms)

Multiplication is closed for polynomial multiplication

We started with polynomials and we ended up with a polynomial.

Answer:

60%

Step-by-step explanation:

16 loaves of white bread and 24 loaves of wheat bread. = 40 loaves of bread

P( wheat) = number of wheat/ total

                 = 24/40

                 =.6

                  =60%

Answer:

D) [tex]x^{2} =8y[/tex]

Step-by-step explanation:

Because the receiver of the parabolic dish antenna is 2 feet above the vertex, the parabola must be vertical. Therefore, we will use the equation [tex](x-h)^2=4p(y-k)[/tex] where [tex](h,k)[/tex] is the vertex of the parabola and [tex](h,k+p)[/tex] is the focus point. Since we are given that the receiver is 2 feet above the vertex which is located at the focus point and the vertex is [tex](0,0)[/tex] at the origin, then the focus point is [tex](0,0+p)[/tex] where [tex]p=2[/tex]. Therefore, the equation that models a cross section of the dish is [tex]x^{2} = 8y[/tex].

Answer:

y=x

Step-by-step explanation:

Answer:

c. 4

Step-by-step explanation:

I'm correct if I'm rwong

Answer:

Each slice of bread costs $0.06.

Step-by-step explanation:

To find how much each slice of bread costs, you need to divide the cost (0.90) by how many slices there are (15). When you divide the two, you get 0.06. To check your answer you can do 0.06x15 and that will equal $0.90.

Answer:

0.9/15=$0.06 per slice

Also what is this 1910 when did a loaf of bread cost 90 cents????

Answer:

A = 68/5 ≈ 13.6

Step-by-step explanation:

If they're similar, the fraction between their sides have to be the same:

5/2 = 34/A

34•2/5 = A

A = 68/5 ≈ 13.6

Answer:

The required slope is equal to -1/2.

Step-by-step explanation:

The given equation of line is :

x + 2y = 10

A line parallel to this line has the same slope. To determine the slope, solve for  y  to change the equation to slope-intercept form:

y = mx+b .....(1)

2y = 10 -x

Dividing both sides by 2.

[tex]y=(-\dfrac{1}{2})x+10[/tex] ....(2)

Comparing equations (1) and (2),

m = -1/2

Hence, the required slope is equal to -1/2.

Answer:

276

Step-by-step explanation:

25!/22!(25-22)! - 24!/21!(24-21)!

= 2300 - 2024

= 276

Answer: I think it is B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

tasha's ballon speed=5 mph

henrey's balloon speed=(31-15)/2=16/2=8 mph

tasha's initial distance was y=5×0+25 =25 miles

Henrey's balloon initial distance=15 miles

Answer:

x=3

Step-by-step explanation:

15/x=10/2

Simplifying the right side

15/x = 5

Multiply each side by x

15/x *x = 5x

15 = 5x

Divide each side by 5

15/5 = 5x/5

3 =x

Answer:

7.8 for 1 cake so add that to your total

Step-by-step explanation:

y = 3/4x - 4.5

Where the line crosses the y-axis is how I got the -4.5

Slope is rise over run, so up 3 and right 4

Answer:

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

Step-by-step explanation:

Here we have the system:

2x - 3y = -6

y = -(1/3)*x - 4

First, remember that if the slope is negative, then the equation is decreasing.

So, for the second equation, as x increases, y decreases, then the line of the second equation is the red one (because the red one decreases).

So the blue one represents the equation 2x - 3y = -6

Also remember that the solution of a system of equations is the point where the graphs of the equations intersect, here we can see that the intersection happens at the point (-6, - 2)

This means that the solution of the system is  (-6, - 2)

From this, we can see that the correct option is:

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

A: The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

Answer:

second option is the answer

obtuse angle means the angle is larger than 90 degrees

Answer:

The coordinates of the P' point are (-17.3,-10).

Step-by-step explanation:

We can use the components of the vector from 0 to P point. We know that the diameter is 40 meters, so the magnitude of the vector will be 20 m.

Now, the angle from the negative x-direction to the vector is 210°-180° = 30°.

The x-component of the vector will be:

[tex]V_{x}=-Vcos(30)[/tex]

[tex]V_{x}=-20cos(30)=-17.32\: m[/tex]

It is negative because the component is in the negative x-direction.

The y-component of the vector will be:

[tex]V_{y}=-Vsin(30)[/tex]

[tex]V_{y}=-20sin(30)=-10\: m[/tex]

It is negative too because the component is in the negative y-direction.

Therefore, the coordinates of the P' point are P'(-17.3,-10)

I hope it helps you!

Answer:

Sorry don't know sis I am really sorry

Answer:

volume is the area multiplied by the depth. We also know it's a club so it's one side of 3 is true for all sides and depth.

its 3 x 3 x 3... which is 9 x 3 which is 27.

27 units cubed

Answer:

Hello! answer: 30

Step-by-step explanation:

13 × 13 = 169

5 × 5 = 25

169 - 25 = 144

12 × 12 = 144 therefore 12 is the missing leg

so we will use this to find the area so...

12 × 5 = 60 60 ÷ 2 = 30 therefore the answer is 30 hope that helps!

C. y = 3x - 4

Step-by-step explanation:

Given coordinates:

(2, 2), (3, 5), (5, 11), (7, 17)

The equation of any straight line is

y = mx + c

Where

m = Gradient

c = Constant

Gradient = y2 - y1/x2 - x1

Substitute any two values of y with the respective values of x.

Gradient = 17 - 2/7 - 2

= 15/5

= 3

Substitute the gradient into the general formula.

y = 3x + c

Substitute any value of the coordinate to the equation

2 = 3(2) + c

2 = 6 + c

c = -4

From y = mx + c,

substitute the values of m, the gradient, and c, the constant.

y = (3)x + (-4)

y = 3x - 4

Answer:

[tex]2x + y = 11 - - - (a) \\ 4x - y = 25 - - - (b) \\ (a) + (b) : \\ 6x + 0y = 36 \\ 6x = 36 \\ x = 6[/tex]