Mathematics High School

You start out with a penny that will double every day for 30 days. Find the average rate of change from day 7 to day 14. Remember that this function has already been shown to be f(x)=0.01(2)^x.

Answers

Answer 1

Answer:

$23.22 per day.

Step-by-step explanation:

For a general function f(x), the average rate of change between A and B (when B > A) is:

[tex]r = \frac{f(B) - f(A)}{B - A}[/tex]

In this case we know that the function is:

f(x) = 0.01*(2)^x

And we want to find the average rate of change from day 7 to day 14

Then if we use the above equation we get that the rate of change from day 7 to day 14 is:

[tex]r = \frac{0.01*(2)^{14} - 0.01*(2)^7}{14 - 7} = 23.22[/tex]

Because this equation is in dollars, we can conclude that the average rate of change between day 7 and day 14 is $23.22 per day.

Answer 2

An average rate of change between A and B (where B>A) for a generic function [tex]f(x)[/tex] is:

[tex]\to r=\frac{f(B)-f(A)}{B-A}\\\\[/tex]

In this situation, the function is:

[tex]\to f(x) = 0.01\times (2)^x[/tex]

And we'd like to calculate the average rate of change from day 7 to day 14.Using the aforementioned equation, we can calculate the rate of change from day 7 to day 14 as follows:

[tex]\to r=\frac{0.01\times 2^{14} -0.01 \times 2^7}{14-7}=23.22[/tex]

Since this equation is stated in dollars, we can calculate that the average rate of change between days 7 and 14 is [tex]\$23.22[/tex] each day.

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Related Questions

Una piramide tiene como base un hexagono regular de 6cm de lado y la altura de la piramide es de 10cm . Calcula la apotema de la piramide (altura de las caras triamgulares) y su area total

Answers

Answer:

a) 5.2 cm

b) 296.38 cm²

Step-by-step explanation:

a) Encontrar la apotema

La fórmula se da como:

A = s / 2 bronceado (180 / n)

s = Largo del lado = 6cm

n = Número de lados = 6 porque el polígono es un hexágono

Por eso,

Apotema = 6/2 × bronceado (180/6)

= 6/2 × tan 30

= 5.1961524227cm

Aproximadamente = 5.2 cm

Apotema = altura de las caras triangulares = 5.2cm

b) Superficie total

Área de superficie de una pirámide hexagonal = 3√3 / 2b² + 3b√h² + 3b² / 4

b es la longitud de la base. = 6cm

s es la altura inclinada. = 10cm

3√3 / 2 × 6² + 3 × 6√10² + 3 × 6² / 4

A = 296.38 cm²

A balloon has a circumference of 16 cm. Use the circumference to approximate the surface area of the balloon to the nearest square centimeter.

804 cm2

326 cm2

256 cm2

81 cm2

Answers

Answer:

The answer is 256 cm 2.....

Mhanifa can you please help me? This is due soon. I will mark brainliest!!

Answers

Answer:

6) 197) 22

Step-by-step explanation:

Diagonals of a rectangle are congruent#6

JL = KM

3x + 4 = 4x - 14x - 3x = 4 + 1x = 5

JL = 3*5 + 4 = 19

JL = KM

2x - 6 = 3/2x + 12x - 3/2x = 1 + 61/2x = 7x = 14

JL = 2*14 - 6 = 22

Answer:

JL = KM

3x + 4 = 4x - 1

4x - 3x = 4+1

X= 5

JL = 3*5 + 4 = 19

JL = KM

2x - 6 = 3/2x + 1

2x - 3/2x = 1 + 6

1/2x = 7

X= 14

JL = 2*14 - 6 = 22

Find the value of x . Round your answer to the nearest tenth.

Answers

I think its either 9 or 10

The cost of buying 1 DVD is $19.99. The cost of buying 1 CD is
$9.99. The cost of buying 3 DVDs and 5 CDs is given by the
expression 3 x 19.99 + 5 x 9.99. What is the total cost?

Answers

Answer: The Total $110

Step-by-step explanation:

I hope this is what you are looking for

Which cylinders have the same volume as the cylinder below? Check all that apply. A cylinder with height of 32 meters and diameter of 20 meters.

Answers

Answer:

10054.4m^3

Step-by-step explanation:

Given data

Height= 32m

Diameter= 20m

Radius= 10m

The expression for the volume of a cylinder is given as

V= πr^2h

Substitute

V= 3.142*10^2*32

V= 3.142*100*32m^3

Hence the volume is 10054.4m^3

Answer:

cylinder with a height of 8m and a diameter of40m

cylinder with a height of 128m and a diameter of 10m

Step-by-step explanation:

got it right on edge may 2021. also sub to Troy's Movies on you tube

P deceased by the total of q and r

Answers

Answer:

P deceased by the total of q and r

Answer:

The answer is: p-(q+r)

Hope that helps. I just did it on my test and I got it right :D

Write a number y divided by 6 as an expression.

Answers

Answer:

y ÷ 6.

Step-by-step explanation:

An expression is a combination of a number(s) and a variable.

Here, we simply need to write the expression from the word problem in mathematical form.

"Number" is unknown.

Variables are used to represent an unknown value.

(The variable in this expression is y).

The word problem says a number y divided by 6.

This simply means: y ÷ 6.

Estimate the perimeter of the figure to the nearest whole number.

Answers

The correct answer is 19

Help please I need the signs to these equations. Picture down below

Answers

Can see the problem send another picture

1. Dois angulos correspondentes, de-
terminados por duas retas paralelas,
interceptadas por uma transversal,
medem 2x + 40° e -3x + 90°
a) Determine o valor de x.

b) Determine a medida de cada um dos
ângulos dados.

Answers

Answer:

Step-by-step explanation:

dadds

Write 3.5 • 4 using words

Answers

Answer:

I dont understand if you wanted the answer or just the equation, so I did both.

Three-point five times four

Three-point five times four equals fourteen.

Fourteen

Hope that helps!

If it did, plz mark brainiest, im trying to level up :3

Have a great day!

Answer this please i am stuck

Answers

Answer:

adasdasdadsads

Step-by-step explanation:

Answer:

its impossible

Step-by-step explanation:

There are 85 mini chocolates in a bowl. The ration of kit kats to hersheys bars is 8:7. About how many kit kats were there?

Answers

Answer:

Step-by-step explanation:

Total mini chocolates in a bowl= 85

ration of kit kats to hersheys bars = 8:7

ration of kit = 8

Total ratio= 15

Number of kit kats= ratio of kit Kat/ total ratio × total number of mini chocolates

Number of kit Kat = 8/15 × 85= 45

Hence, there are 45 kit kats present there.

Answer:

There were about 45 kit kats.

Step-by-step explanation:

With the information provided, you know that the the ratio of kit kats to hersheys bars is 8:7 and that there are 85 mini chocolates in a bowl, so to be able to find the number of kit kats there first you can say that you have 15 units because if you add the numbers on the ratio 8+7=15. Then, you divide the total amount of mini chocolates by the units to find the number of chocolates in each unit:

85/15=5.66

Now, you can multiply the ratio of hersheys bars which is 7 for the number of chocolates per unit to find the amount of hersheys bars:

7*5.66=40

Finally, you can multiply the ratio of kit kats which is 8 for the number of chocolates per unit to find the amount of kit kats:

8*5.66=45

According to this, the answer is that there were about 45 kit kats.

Inglés

A company starts to track the number of phone calls received each month. Information about the number of phone calls the company received the first three months of tracking is listed below.

• During the first month, the company received 5,650 phone calls.

• During the second month, the company received 30% more phone calls than in the first month.

• During the third month, the company received 10,283 phone calls.

What was the percent increase in the number of phone calls from the second month to the third month?

español

Una empresa comienza a realizar un seguimiento del número de llamadas telefónicas recibidas cada mes. La información sobre la cantidad de llamadas telefónicas que recibió la empresa durante los primeros tres meses del seguimiento se enumera a continuación.

● . Durante el primer mes, la empresa recibió 5,650 llamadas telefónicas

● Durante el segundo mes, la empresa recibió un 30% más de llamadas que en el primer mes.

● Durante el tercer mes, la empresa recibió 10,283 llamadas telefónicas.

¿Cuál fue el porcentaje de aumento en la cantidad de llamadas telefónicas del segundo mes al tercer mes?

Answers

Step-by-step explanation:

help on this please,

Answers

Answer: (3) 11

ur welcome

Step-by-step explanation:

PLEASE HELP GEOMETRY IVE BEEN STUCK FOR HOURS!!! Show work

Answers

Answer:

Step-by-step explanation:

sohcahtoa

tan = O/A

tan x = 11.9/10

x = 50°

BA = hypotenuse

AC = adjacent

BC = opposite

Answer:

Step-by-step explanation:

11.9/10 = 50

Answer:

-9,3

Step-by-step explanation:

The range of the function is {3, 7, -9}.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

A function of x containing three ordered pairs of the form (x, y) is shown below. {(1, 3), (2, 7), (3, -9)}.

The range of the function is,

= the number of value in the y-coordinate.

= {3, 7, -9}

Therefore, {3, 7, -9} is the range.

To learn more about the function;

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I need help please!!!!!

Filling Out Your 1040
The second page of the 1040 is where you determine how much tax you owe or will be refunded. Use the numbered
icons and your W-2 to help you fill out this form. If any fields don't apply to you, leave them blank.

Answers

Answer:

here you go!!!

Step-by-step explanation:

the other answer might not fit your's

Step-by-step explanation:

so here's what I got

PLS HELP

45°
.
9
V
Solve for x.
09
O 9V2
O 9V3
09
IN

Answers

Step-by-step explanation:

Let the remaining angle be z.

45+z=90

z=90-45

z=45

y=9(isoceles triangle)

Then,

By pythagoras theorem,

x=9root2

Find the surface area and volume of the prism 5ft 4ft 3ft

Answers

Surface Area: 94 ft

Volume: 60 ft

1- 94 surface area 60 volume
2- 37 surface area 15 volume

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