All exponential functions can be written in many forms. Write the function
f(t) = 2800(0.95)' in the form f(t) = abro. Round all coefficients to four
decimal places.

All Exponential Functions Can Be Written In Many Forms. Write The Functionf(t) = 2800(0.95)' In The Form

Answers

Answer 1

[tex]2800(0.95)^t~~ = ~~2800(b)^{\frac{t}{10}}\implies \cfrac{2800(0.95)^t}{2800}=b^{\frac{t}{10}}\implies 0.95^t=b^{\frac{t}{10}} \\\\\\ (0.95)^{\frac{10t}{10}}=b^{\frac{t}{10}}\implies (0.95^{10})^{\frac{t}{10}}=b^{\frac{t}{10}}\implies (0.5987)^{\frac{t}{10}}\approx b^{\frac{t}{10}}\implies 0.5987 \approx b \\\\[-0.35em] ~\dotfill\\\\ ~\hfill f(t)\approx 2800(0.5987)^{\frac{t}{10}}~\hfill[/tex]


Related Questions

what is the answer to -2-(-2)

Answers

Answer:

0

Step-by-step explanation:

-2 + 2 = 0

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

An angle measure 29•, what is the measure of it compliments

Answers

Answer:

The complement of 29° is the angle that when added to 29° forms a right angle (90° ).

Step-by-step explanation:

Hope this helps you!

If you deposit $3,000 in a savings account that earns simple interest at a rate of 2.5% a year, how much interest would you have after 4 years?

Answers

Answer:  300 dollars

Work Shown:

i = P*r*t

i = 3000*0.025*4

i = 300

7. Which statement proves that a quadrilateral is a rhombus? A There is no line of symmetry B. All four sides are congruent C. The diagonals bisect each other D. The diagonals are perpendicular​

Answers

Answer:

B. All four sides are congruent

Step-by-step explanation:

To prove a quadrilateral is equal, prove the four sides to be equalAs the defining feature of a rhombus is that it has 4 equal sides

Question 2
5 pts
You deposit $5000 in an account earning 7% interest compounded
monthly. How much will you have in the account in 10 years?
5 nts

Answers

[tex]s = 5000(1.07) {}^{t} [/tex]

[tex]s = 5000(1.07) {}^{10} [/tex]

[tex]s = 5000(1.96715)[/tex]

[tex]s = 9835.756 \: dollars[/tex]

The radius of a circle is 14 centimeters. What is the circle's circumference?

Answers

Hello!

To solve this exercise, we must use the formula below:

[tex]\mathrm{C=2\cdot\pi\cdot r}[/tex]

C = ?π = 3.14r = 14cm

Knowing these values, let's replace them in the formula to obtain r:

[tex]\mathrm{C=2\cdot 3.14 \cdot 14}\\\mathrm{C=6.28 \cdot 14}\\\\\boxed{\mathrm{C=87.92}}[/tex]

So, the circle's circumference is 87.92cm.

Hope this helps!

Answer:

[tex]\boxed{\sf{87.92cm}}[/tex]

Step-by-step explanation:

To solve this problem, you need to multiply the radius of a circle by the circumference formula.

Circumference formula:

[tex]\sf{C=2\pi r}[/tex]

[tex]\sf{C=2*\pi r}[/tex]

C=?

π= 3.14

r= 14

[tex]\sf{2*3.14*14}[/tex]

Solve.

[tex]\sf{2*3.14=6.28}[/tex]

[tex]\sf{6.28*14=\boxed{\sf{87.92}}[/tex]

Therefore, the correct answer is 87.92cm.

I hope this helps you! Let me know if my answer is wrong or not.

Write the percent as a decimal.

78% =

Answers

Answer:

0.78

Step-by-step explanation:

78 / 100

note that 100% = 1

how many feet is the answer?

Answers

Answer:

1023 feet

Step-by-step explanation:

Which graph represents an exponential function?

Answers

Answer:

the linear graph man

please why ask ezzy questions

A department store has 950 customers one day, and 82% of customers made a purchase. Of the customers who made a purchase, 528 bought just one item, 186 bought two items, and the remainder bought three or more items. How many customers bought three or more items?

Answers

Answer:

65 bought 3 or more items.

Step-by-step explanation:

See attached summary.  The total purchasing customers was 779 (0.82*950).  Use the percentages to calculate calculate the numbers of customers who purchased one and two items (528 and 186).  Add those and subtract from the total number of customers who purchased anything (779) , to arrive at the number who bought three or more items.  65 bought three or more items.

The dosage for a painkiller is 0.05 mg per kilogram of a patient's body mass. How much of the drug should be administered to a patient who is 50 kg?
A 50-kg patient would be given mg of painkiller?

Answers

Answer:

0.05 mg for 1 kg, so multiply 0.05 by 50, since the patient is 50 kg, and you get 2.5 mg.

Answer:

2.5 mg

Step-by-step explanation:

.05 mg / kg    *   50 kg = 2.5 mg

The difference of two numbers is 8. What two numbers will minimize the product? The numbers are ___ and ____.

Answers

Answer:

-4 and 4

Step-by-step explanation:

Have a good day.

Answer:

answer is -4 and 4 ):(

Step-by-step explanation:

Need help with his geometry question. Find the value of x

Answers

Hey there!

Answer: [tex] \Rightarrow \boxed{\sf{x = 25}}[/tex]

[tex] \rightarrow \sf{ \frac{x}{20} = \frac{30}{24} }[/tex]

[tex] \rightarrow \: \boxed{ \sf{24x = 600}}[/tex]

[tex] \rightarrow \: \boxed{ \sf{ \frac{24x}{24} = \frac{600}{24}}} [/tex]

[tex] \rightarrow \boxed{ \bold{\sf{ x = 25}}}[/tex]

Hopes this helps

what is the equation of the following graph?

Answers

Answer:

Step-by-step explanation:

When figuring out the graph of a sinusoidal, I keep in mind the acronym FPARHM:

F - function (sine or cosine)

P - period

A - amplitude

R - reflections

H - horizontal/phase shift

M - midline

Looking at the graph, we can figure out that the function is sine (since it intersects the origin at its midpoint, the period is [tex]\pi[/tex] (because it repeats every [tex]/pi[/tex] units in the x-direction, the amplitude is 2 (because the graph's extreme points are 2 units away from the midline in the y-direction, there are no reflections, no horizontal/phase shift, and the midline is [tex]y=0[/tex] (since the graph isn't shifted up or down in the y-direction.

Finally, knowing all these parts, we can piece together the equation of the sinusoidal graph. In general, the equations of sinusoidal graphs are in the form [tex]y=a\sin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex] \frac{2\pi}{|b|}[/tex] is the period, [tex] \frac{c}{b}[/tex] is the horizontal shift, and [tex]d[/tex] is the midline. Additionally, if [tex]a[/tex] is negative, the graph needs to be reflected over the x-axis and if [tex]b[/tex] is negative, the graph needs to be reflected over the y-axis. Knowing this, all we need to do is plug in the amplitude, period, phase shift, and midline to the equation. The equation is [tex]y=2\sin(2x)[/tex]

Hope this helps :)

Find all the factors of 18.
A) 2, 9
B) 1, 2, 3, 6, 9, 18
C) 1, 2, 3, 4, 6, 8, 9, 18

Answers

Answer:

B)1, 2, 3, 6, 9, 18

Step-by-step explanation:

1×18

2×9

3×6

HOPE IT HELPS YOU

Evaluate 3x2−9
when x=−2

Answers

Answer:

3

Step-by-step explanation:

substitute x = - 2 into the expression

3x² - 9

= 3(- 2)² - 9

= 3(4) - 9

= 12 - 9

= 3

100 points and Brainliest for whoever answers this question correctly first.

No, this is not a test.
Yes, I would appreciate the quickest answer possible.

Answers

Answer:

[tex]\dfrac{1}{102}[/tex]

Step-by-step explanation:

Average rate of change of function [tex]f(x)[/tex] over the interval [tex]a \leq x \leq b[/tex] is:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given function:

[tex]f(x)=\dfrac{2x-2}{5x-6}[/tex]

Given interval [tex]0\leq x\leq 8[/tex] :

when [tex]x=0[/tex]:

[tex]f(0)=\dfrac{2(0)-2}{5(0)-6}=\dfrac13[/tex]

when [tex]x=8[/tex]:

[tex]f(8)=\dfrac{2(8)-2}{5(8)-6}=\dfrac{7}{17}[/tex]

Therefore, average rate of change:

[tex]\dfrac{f(8)-f(0)}{8-0}=\dfrac{\frac{7}{17}-\frac13}{8}=\dfrac{1}{102}[/tex]

f(1)=15
f(n)=f(n-1)·n
f(2)=?

Answers

Answer:

is f(2)=13 this is the answer because You have to división ir multiplicar ir

Answer:

f(2)=30

Step-by-step explanation:

Khan <3

Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(0, −8) and line y = 8.

Answers

Answer:

-1/32 × x

Step-by-step explanation:

let's define and identify the correct markers of the correct parabola.

so, we have the focus point F (0, -8).

we have the directrix y = 8.

that means the the vertex point (the middle between the focus and the directrix) is (0, 0).

a parabola is turning away from the directrix. the vertex here is below the directrix, so the parabola is opening downwards and has therefore a negative factor of x.

so, we can rule out the 2 positive answer options.

to decide between the other 2, let's use a value of x and see, if the point is equidistant to the focus and the directrix.

e.g. x = 1

so,

y = -1/8 × x²

gives us y = -1/8 for x = 1

that means the point is (1, -1/8).

the distance to the focus (0, -8) is

(1 - 0)² + (-1/8 - - 8)² = 1 + (7 7/8)² = 1 + (63/8)² =

= 64/64 + 3969/64 = 4033/64

the distance to the directrix is the distance to the point (1, 8) as the point on the directrix must have the same x value.

so, the distance (1, -1/8) to (1, 8) is

(1 - 1)² + (-1/8 - 8)² = 0 + (-65/8)² = 4225/64

that is not equal to the distance to the focus.

so, let's try

y = -1/32 × x

the point for x = 1 is (1, -1/32)

distance to focus

(1, -1/32) to (0, -8) = (1-0)² + (-1/32 - -8)² = 1 + (255/32)² =

= 1024/1024 + 65025/1024 = 66049/1024

distance to directrix

(1, -1/32) to (1, 8) = (1-1)² + (-257/32)² = 66049/1024

which is the same distance as to the focus.

so, y = -1/32 × x is the right answer.

FYI - for an actual distance I would have to create the square roots of the numbers used here.

but since we only needed to see, if distances are equal or not, it was sufficient to check if the squares of the distances are equal or not.


At a local pizza shop 2 pizzas will serve 6 people.
How many people will 8 pizzas serve?

Answers

2pizza serves 6 people
1pizza serves 6/2 people
8pizza serves 6/2*8
=24people
8pizza serves 24 people

Which number line shows the solution set for l s/2 +4 l <2

Answers

Step-by-step explanation:

Hopefully this was helpful!

Darya is a real estate broker with a house listing. She estimates that this listing will cost her ​$2300 for various expenses. If Darya sells the house within 6​ months, she will receive a commission of ​$20,000. If it takes longer than 6​ months, the listing will​ expire, and​ she'll lose the ​$2300 she spent on expenses. She estimates the probability that​ she'll sell the house within 6 months is 80%. Determine​ Darya's expectation for this listing.

Answers

Using a discrete distribution, it is found that Darya's expectation for this listing is of $13,700.

What is the mean of a discrete distribution?

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

In this problem, considering the situation described in the text, the distribution is given by:

P(X = 17,700) = 0.8.P(X = -2,300) = 0.2.

Hence, her expectation is given by:

E(X) = 0.8 x 17,700 - 0.2 x 2,300 = $13,700.

More can be learned about discrete distributions at https://brainly.com/question/24855677

Please solve with explanation high points

Answers

Answer:

a. -2x^2 + 3x+5=y

b.-x^2 +5x-4=y

c.-x^2 +6x-12=y

Step-by-step explanation:

a.y=-2x^2 +bx+c

the points P and Q lie on curve

[tex]\left \{ {{-b+c=2} \atop {b+c=8}} \right.[/tex]

=> b=3, c=5

b. delta = b^2 +4c

x1= [tex]\frac{-b+\sqrt{b^{2}+4c } }{-2}[/tex] =4

=> [tex]b-\sqrt{4c+b^{2} }[/tex]=8

x2=[tex]\frac{-b-\sqrt{b^{2}+4c } }{-2}[/tex]=1

=>2=b+[tex]\sqrt{b^{2}+4c }[/tex]

suppose : [tex]\sqrt{b^{2}+4c }[/tex] = a

=> [tex]\left \{ {{a+b=2} \atop {-a+b=8}} \right.[/tex]

=> a=-3

b=5

a=-3 =>  [tex]\sqrt{b^{2}+4c }[/tex] =-3 => b^2 +4c =9 =>5^2 +4c=9 => c=-4.

c.vertex (3;-3)

[tex]\frac{-b}{-2}[/tex]=3 => b =6

[tex]\frac{-D}{4a}[/tex]=[tex]\frac{-b^{2}+4ac}{-4}[/tex] =-3 =>-b^2+4ac=12 => c=-12.

-5x+y=-10 and -4x-y=-26

Answers

Answer:

[tex]\left\{\begin{matrix}x=4\\y=10\\\end{matrix}\right.[/tex]

Step-by-step explanation:Solve the equation

[tex]\left\{\begin{matrix}-5x+y=-10\\-4x-y=-26\\\end{matrix}\right.[/tex]

_____________________________________

Add the two equations

[tex]-5x+y+(-4x-y)=-10+(-26)[/tex]

____________________________

Remove parentheses

[tex]-5x+y-4x-y=-10-26[/tex]

_________________________________________________

Cancel one variable

[tex]-5x-4x=-10-26[/tex]

___________________________________________

Combine like terms

[tex]-9x=-10-26[/tex]

______________________________________________

Calculate the sum or difference

[tex]-9x=-36[/tex]

________________________________________________

Divide both sides of the equation by the coefficient of variable

[tex]x=\frac{-36}{-9}[/tex]

____________________________________________________

Determine the sign for multiplication or division

[tex]x=\frac{36}{9}[/tex]

_________________________________________

Cross out the common factor

[tex]x=4[/tex]

_____________________________________________Step-by-step explanation:Substitute into one of the equations

[tex]-4\times4-y=-26[/tex]

____________________________________________________

Calculate the product or quotient

[tex]-16-y=-26[/tex]

______________________________________________________

Rearrange variables to the left side of the equation

[tex]-y=-26+16[/tex]

_____________________________________________

Calculate the sum or difference

[tex]-y=-10[/tex]

_________________________________________-

Divide both sides of the equation by the coefficient of variable

[tex]y=10[/tex]

I hope this helps you

:)

PLSS HELP ME

12/12 + 12/12 + 7/12=_____

Answers

2 7/12

This is because 12/12 is equal to 1/1 or 1. So 12/12 + 12/12 = 2.

2 + 7/12= 2 7/12

Answer:

31

-----

12

Step-by-step explanation:

12         12           7         31

----  +  -------  +  -----  =  -------

12         12          12         12

Add the numerators together (top number) and keep the denominator the same (bottom number)

I hope this helps!


Find the range, mean, and standard deviation of the data set
{8, 9, 8, 4, 4, 7, 18, 14}
The range is

(Type a whole number.)

The mean is

(Type an integer or a decimal.)

The standard deviation is

(Round the final answer to two decimal places as needed Round all intermediate values to three decimal places as needed.)

Answers

Answer:

mean: 8

medium:7

min: 4

max: 18

hope that helps

Test question, are you able to hold yourself from adding an answer?

Answers

yes you are able to hold yourself from adding an answer

Which expression is three less than the product of a number and two,increased by five

Answers

Answer:

(2x+5)-3

Step-by-step explanation:

Given P(E or F) = 0.69, P(E) = 0.49, and P(E and F) = 0.06, what is P(F)?

Answers

Answer:

P(F) = 0.26

Step-by-step explanation:

Given:

P(E ∪ F) = 0.69P(E) = 0.49P(E ∩ F) = 0.06

Using formula:   P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

⇒ P(E ∪ F) = P(E) + P(F) - P(E ∩ F)

⇒ 0.69 = 0.49 + P(F) - 0.06

⇒ 0.69 = 0.43 + P(F)

⇒ P(F) = 0.69 - 0.43

⇒ P(F) = 0.26

What is the area of this figure?

Answers

Answer:

cover an area of 404 area

Step-by-step explanation:

23*8+11*20=404(area)

Other Questions
Hello people ~change into passive voice"The crew paved the entire stretch of highway." Make a title about this short paragraph ! ! !!!PLS DON'T JUST TRANSLATE IT YOU HAVE TO USE SER Because Japan felt disrespected by the provisions of the Treaty of Portsmouth, it would most likely lead Japan to Jaylah started with $200 in her savings account to go to Disneyland. She wanted to increase her savings so she started babysitting. She earns $10 an hour and deposits it in her savings account. What is Jaylah's initial value and rate of change? What is the definition of the word PER? The height of a triangle is six times the base. Write an expression for the area of the triangle and let x be the base. 1. Three friends are at a restaurant for dinner. They decide to split the $90. 00 check equally among the three of them. A. If they decide to leave a 20% tip, what will the total bill be?b. What will each person pay if the total bill including tip is divided by three? Lara uses the standard mileage method for determining auto expenses. During 2021, she used her car as follows: 18,400 miles for business, 3,680 miles for personal use, 5,520 miles for a move to a new job, 1,840 miles for charitable purposes, and 920 miles for medical visits. Presuming that all the mileage expenses are allowable (i.e., not subject to percentage limitations), what is Lara's deduction for? Two old RSM students were standing ten feet apart when they ran in opposite directions with speeds of 180 feet per minute and 160 feet per minute respectively, how many minutes would pass before they were 1870 feet apart? 1. Select ONE of the following (a through g).a. A professional sports teamb. A gaming system companyc. An airline companyd. A consumer retail storee. An automobile companyf. A computer company2. Select a specific example of that category. For example, if you chose a professional sports team, you could select one of the following: Giants, Jets, Mets, Nets, Yankees, etc. Indicate the specific example you selected:American AirLines 3. Analyze the external organizational environment for your choice. Identify at least TWO and preferably THREE aspects of EACH of the following that your choice must consider:a. General environmenti. International dimension1.American Airlines is the largest airline in 2020. 2. American Airlines traveled 240 destinations in the U.S, Canada, The Caribbean and Mexico. 3.American airlines headquarters is in dallas fort worth. ii. Technological dimension1.Electronic wallet 2. Mobile ID 3.Virtual Assistant iii. Sociocultural dimension1.Ethics and human rights(provide the director with a report for unethic) 2.Sustainability and climate change 3.Give customer a great experience (continued)iv. Economic dimension1.Boarding with 1 carry on & one personal item. 2.AAdvantage credit card member. v. Legal-political dimensionb. Task environmenti. Customersii. Competitorsiii. Suppliersiv. Labor market(continued)4. Conduct a situation analysis using a SWOT (Strengths, Weaknesses, Opportunities, and Threats) analysis that assesses the environment for your selected organization.A SWOT analysis is categorizing the information that you gathered in the environmental analysis that you performed in the first half of this case. Some of the information you listed may not qualify as a strength, weakness, opportunity, or threat, however it may be neutral. You should have at least TWO items EACH for strengths, weaknesses, opportunities, and threats and preferably THREE aspects for at least two of these. Positive NegativeInternal Strengths: Weaknesses:External Opportunities: Threats: WILL CHOOSE BRAINLIEST!!! Which area saw immigrants after the Civil War play a significant roleIn the industrialized north of MidwestOn the cattle ranches of the WestIn the US Army and NavyOn the plantations in the south Please help I will give brainliest. Marcelle and Amia each buy two Treat Dispenser shirts from Avas website for $22 each. They live in South Dakota, where the sales tax is 6.4%. Marcelle calculates his total bill by finding the sales tax for each individual shirt, multiplying by 2, and then adding it to the retail price of both shirts. Amia calculates her bill by adding up the total cost of both shirts, finding the sales tax of the sum, and then adding it to the retail price of both shirts. Whose method is correct, and what was the total bill for each of their orders? Melissa earns 41 dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells.Let A be the amount (in dollars) that Melissa earns in a week if she sells B books.Write an equation relating A to B. Then use this equation to find the amount of money Melissa earns if she sells 25 books.Exaction: Amount Melissa earns if she sells 25 books: dollars true or false new Hampshires first colonists came from Plymouth How do you think the reef will change when black band disease is present Please help I was able to do the hard part but I dont know how to crack the code Richard Russell:- United States senator from Georgia. - appointed to the naval affairs committee in 1933. - led a panel of five senators around the world to report on the condition of American troops during World War II?????-served 25 terms of the House of Representatives - considered the "father of the two-ocean navy"- engineered and maneuvered multiple bills through Congress to expand the navyWhich individual fills in the blank?A. William HartsfieldB. Jimmy CarterC. Lester Maddox D. Carl Vinson