Martha’s bakery started with 200 cupcakes in the morning. After a busy afternoon, there were only 60 cupcakes left. By what percent did the cupcake inventory drop?

Answer:

The decrease is exponential.

Step-by-step explanation:

An exponential decrease is something like:

f(x) = A*(r)^x      with 0 < r < 1

A linear decrease is something like:

g(x) = -a*x + b               with a > 0

First ai general formula.

If you have a quantity Q, decreased by an X%, the new quantity will be:

New Quantity = Q - Q*(X%/100%)

Now let's look at the question:

Suppose that the original price of the computer component is K

And the price as a function of the year is P(y)

Then we know that, in the year zero, the price is K.

P(0) = K

One year after, the price decreases by 2.25%

Then:

P(1) = K - K*(2.25%/100%) = K*(1 - 0.0225)

After another year, we will have another decrease of 2.25%

Then:

P(2) =  K*(1 - 0.0225) -  K*(1 - 0.0225)*(2.25%/100%)

P(2) = K*(1 - 0.0225)*(1 - 0.0225) = K*(1 - 0.0225)^2

We already can see the pattern, we can expect that in the year y, the price of the component will be:

P(y) = K*(1 - 0.0225)^y

This clearly is an exponential decrease.

Answer:

it may be V ≈ 4191.6 cm3 so sorry if i'm wrong!!!

Step-by-step explanation:

Answer: V ≈ 2514.9 cm3

Step-by-step explanation:

To find the volume of the prism, first calculate the area of the base.

To find the apothem of the hexagonal base, recognize that the sum of the measures of the interior angles in a hexagon is (6−2)⋅180°=720°. So, the interior angle has measure 720°6/=120°.

The base angle of the triangles with the hexagon's sides as their base is one-half of 120°, or 60°. The apothem bisects these triangles to form two right triangles with the short leg length of 5.5 cm.

By the definition of tangent, tan 60°=?/5.5.

Solve for ?.

?=5.5 ⋅ tan 60°

Therefore, the apothem length equals 5.5 ⋅ tan 60°.

The area of a hexagonal base.

B=6⋅(12⋅11⋅?)

Substitute 5.5⋅tan60° for ?.

B=6⋅(12⋅11⋅5.5 ⋅ tan60°)

Simplify.

B=181.5 ⋅ tan60° cm2

The volume of a prism.

V=Bh

Substitute 181.5 ⋅ tan60° for B and 8 for h.

V=(181.5 ⋅ tan60°)⋅8

Multiply 181.5 by 8.

V=1452 ⋅ tan60°

Use a calculator to approximate.

V≈2514.9 cm3

Therefore, the volume of the hexagonal prism is approximately 2514.9 cm3.

Answer:

32x? I'm so sorry if i'm wrong.

Step-by-step explanation:

Answer:

the stated ratio means that of the 180 degrees involving two supplementary angles, the smaller angle is one sixth of that whole. Thus the smaller angle measures 30 degrees & the larger measures 150 degrees.

Step-by-step explanation:

Answer:

day 13

Step-by-step explanation:

the y axis represents the money. ans the x represents the days

so go down to 0 on the y acis and see what number the line matches with 0 on

in this case it matches with 13

Answer:

y = -5x + 65 or f(x) = -5x + 65

Step-by-step explanation:

The graph represents a linear function which means the function can be represented using y = xm + a, where y is the target, x is the domain, m is the slope, and a is the y-intercept.

According to the graph, the y-intercept is $65 which means a = 65

y = xm + 65

Since the x intercept is 13 that means when x = 13, then y = 0, plug those values in and solve for m to get the slope.

0 = 13m + 65

-65 = 13m

-65/13 = m

Which can be simplified to

-5 = m

Therefore the function for the graph is y = -5x + 65

Answer:

124

Step-by-step explanation:

124 - 51 = 73

Answer:

the probability of not winning is 0.9946

Step-by-step explanation:

The computation of the probability of not winning is shown below:

The Probability of winning is

= 7 ÷ 1302

So, the probability of not winning is

= 1 - 7 ÷ 1302

= (1302 - 7) ÷ 1302

= 1295 ÷ 1302

= 165 ÷ 186

= 0.9946

Hence, the probability of not winning is 0.9946

The same is considered

Answer:

(1/2,4)

Step-by-step explanation:

First, determine y in first equation: 2x+y=5 or  y=5-2x

replace value of y determined in first equation (5-2x) into 2nd equation    

4x-3(5-2x)=-10

4x-15+6x=10

10x=5

x=1/2

put value of x into either equation to solve for y so

2(1/2)+y=5

1+y=5

y=4

answer: x=1/2, y=4

check answer by substituting x and y into either equation:

4x-3y=-10

4(1/2)-3(4)=-10

2-12=-10

-10=-10

or

2x+y=5

2(1/2)+4=5

1+4=5

5=5

Answer:

QUESTION:

56 students signed up to go on the class trip. If this is 70% of the class, how many students are in the class?

ANSWER:

I believe that the answer is that there are 80 students in the class.

I divided 56 by 70% in my calculator and got 80.

Step-by-step explanation:

Hope that this helps you out! :)      

If you have any questions please put them in the comment section below this answer.      

Have a great rest of your day/night!      

Please thank me on my profile if this answer has helped you.

Answer:

80

Step-by-step explanation:

Answer:

C. b = -1, c = -2

Step-by-step explanation:

2 roots: x = -1 and x = 2

(x+1)(x-2) = 0

y = x² - x -2

b= -1 , c = -2

Answer:

The andswer is C    b= -1 c=-2

Step-by-step explanation:

I took the quiz!!

Answer:

The surface area of Design A is smaller than the surface area of Design B.

The area of Design A is 94.65% of the Design B.

Step-by-step explanation:

The area of a right cone is given by the sum of the circle area of the base and the lateral area:

[tex] A = \pi r^{2} + \pi rL [/tex]   (1)

Where:

r: is the radius

L: is the slant height  

The slant height is related to the height and to the radius by Pitagoras:

[tex] L^{2} = H^{2} + r^{2} [/tex]  

[tex] L = \sqrt{H^{2} + r^{2}} [/tex]    (2)

By entering equation (2) into (1) we have:

[tex] A = \pi r^{2} + \pi r(\sqrt{H^{2} + r^{2}}) [/tex]  

Now, let's find the area of the two cases.

Design A: height that is double the diameter of the base, H= 2D = 4r

[tex] A_{1} = \pi r^{2} + \pi r(\sqrt{(4r)^{2} + r^{2}}) = \pi r^{2}(1+ \sqrt{17}) [/tex]  

The volume of the cone is:

[tex]V = \frac{1}{3}\pi r^{2}H[/tex]

We can find "r":

[tex] V = \frac{1}{3}\pi r^{2}(4r) = \frac{4}{3}\pi r^{3} [/tex]

[tex] r = \sqrt[3]{\frac{3V}{4\pi}} = \sqrt[3]{\frac{3*1000}{4\pi}} = 6.20 cm [/tex]

The area is:

[tex] A_{1} = \pi (6.20)^{2}(1+ \sqrt{17}) = 618.7 cm^{2} [/tex]  

Design B: height that is triple the diameter of the base, H = 3D = 6r                  

The radius is:

[tex] r = \sqrt[3]{\frac{3V}{6\pi}} = \sqrt[3]{\frac{3*1000}{6\pi}} = 5.42 cm [/tex]  

The area is:

[tex]A_{2} = \pi r^{2} + \pi r(\sqrt{(6r)^{2} + r^{2}}) = \pi r^{2}(1 + \sqrt{37}) = \pi (5.42)^{2}(1 + \sqrt{37}) = 653.7 cm^{2}[/tex]  

Hence, the surface area of Design A is smaller than the surface area of Design B.

The percent of the surface area of Design A is less than Design B by:

[tex] \% A = \frac{618.7 cm^{2}}{653.7 cm^{2}}\times 100 = 94.65 \% [/tex]

Therefore, the area of Design A is 94.65% of the Design B.

I hope it helps you!

A: third one

B: second one

C: second one

D: second one

Answer:

- 5° < 0 < 7°

Step-by-step explanation:

Given that:

Sunday at noon :

Temperature = 5° below Zero

Wednesday at noon

Temperature = 7° above Zero

Temperature on Sunday noon < 0 < temperature on Wednesday noon

- 5° < 0 < 7°

Answer:

-8/9.

Step-by-step explanation:

The slope = difference in y-values / corresponding difference in x values

Slope = (-8-0)/(5 - (-4))

= -8/9.

Answer:

The surface area is 644 meters squared

Step-by-step explanation:

:)

Answer:

Is - 4

Step-by-step explanation:

29/29  cancel it out

so it will leave -4 out

Answer:

25 greater than or equal to symbol 5.25 + 4g

Step-by-step explanation:

i put the upload so you can see!

brainliest?

A quadratic equation is given to us. And we need to plot its graph . Firstly we will make a table . For that substitute different values of x to get different values of y . For graph refer to attachment.

• Here's the table .

[tex]\boxed{\begin{array}{c|c} \underline{\red{\bf{ x}}}&\underline{\red{\bf y}}\\\\ \sf 1 &\sf 0 \\\\\sf 0 & \sf 1 \\\\\sf 2 &\sf 1 \\\\\sf -2 &\sf 9 \end{array}}[/tex]

Answer:

76 feet

Step-by-step explanation:

57 to his right

76 to his front

it looks like atriangle but the breath (dirk and his science teacher are removed

Answer:

Scalene

Step-by-step explanation:

It is not right, equilateral, or isosceles.

Answer:

B

dy/dx = 4x/y

Sorry if it's wrong!

Answer:

10

Step-by-step explanation:

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36+64 = square root of 100

square root of 100 is 10

Answer:

615.44

Step-by-step explanation:

The area of the circle is 196π m².

A circle is a bounded figure which points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

π14² = 196π m²

To learn more about the area of a circle, please check: https://brainly.com/question/14351152

Answer:

Excuse Me, I believe you forgot to put your question. So I highly recommend to repost your question to get the desired answer(s).

Hace a great day!

Yours Truely, TheAnimeCatUwU

Answer:

g

Step-by-step explanation:

youre welcome

Answer:

sorry not sure

Step-by-step explanation:

Answer:

73.8 dollars.

Step-by-step explanation:

Answer:

$73.80

Step-by-step explanation:

$82.00 - 8.2% = $73.8

Move the decimal 2 spaces to the right --->

$73.80!! :D

Hope this helps!! Have a great day!! :DDD

Answer:

38cm

Step-by-step explanation:

12.6 x 2= 25.2

6.4 x 2= 12.8

25.2 + 12.8= 38