The number of people using an older version of a spreadsheet program decreases at a rate that is proportional at any time to the number of people still using the version at that time.

There were 10,000 people using the older version of the spreadsheet program when the new version first came out. The number of people still using the older version decreases by 20%, percent every 6 months.

Answers

Answer 1

Answer:

5842 people after 2 months

Step-by-step explanation:

Given

Initial Value: [tex]a =10000[/tex]

Rate: [tex]r = 20\%[/tex] every 6 months

Required

Number of people using it after 2 months

The function follows an exponential model.

So, we need to first write out the function.

If Rate: [tex]r = 20\%[/tex] every 6 months

Then

Rate: [tex]r = 40\%[/tex] after 1 year

[tex]r = 0.04[/tex]

The function is represented as:

[tex]y = ar^x[/tex]

So:

[tex]y = 10000 * 0.04^t[/tex]

For 2 months, we have:

[tex]t = 2\ months[/tex]

Convert to years

[tex]t = \frac{2}{12}[/tex]

[tex]t = 0.167[/tex]

[tex]y = 10000 * 0.04^t[/tex]

[tex]y = 10000 * 0.04^{0.167}[/tex]

[tex]y = 5842[/tex]


Related Questions

PLEASE HELP FAST!!!
Emile is a long distance trucker. In one week he drives 750 miles from his home in fort lauderale,FL, to Benson, NC he then drives 2,488 miles to Barstow, CA and continues driving 155 miles to Bakersfield,CA. From there, Emily drives 1,015 miles to Seattle, WA.
Estimate the total distance Emile travels by first rounding each distance to the nearest hundred.

Answers

Answer:

4500 miles

Step-by-step explanation:

750 rounded to the nearest hundred is 800. 2,488 rounded to the nearest hundred is 2,500. 155 rounded to the nearest hundred is 200. 1,015 rounded to the nearest hundred is 1,000. So 800+2,500+200+1,000= 4,500


At a track meet, eight runners are running the 200 m dash. Assuming no ties, how
many ways can the first three finishers come in?

Answers

Answer:

6

Step-by-step explanation:

1. One comes first, two comes second, and three comes last.

2. one comes first, two comes last, and three comes second.

3. One comes second, Two comes first, and three comes last.

4. One come last, Two comes first, and three comes second.

5. One comes second, Two comes last, Three comes first.

6. One comes last, Two comes second, and Three comes first.

True or false

(Question in the picture)

Answers

Answer:

False

48° + 77° + 66° ≠ 180°

Step-by-step explanation:

write an equation for the following problem

Answers

Answer:

x+68=90 degrees

Step-by-step explanation:

Answer:

90-68 or 68+22

Step-by-step explanation:

this works becuz it is a 98 degree angle

Cual es la fuerza de 225n y 165n

Answers

Answer: 225 N + 165 N = 3.90×10.

Veronica is an English tutor. She charges $60 for each tutoring session plus $0.75 per mile that she has to drive to and from the session. Write an equation to represent this situation. Explain how you got your equation.

Answers

Answer:[tex]60+0.75x[/tex]

Step-by-step explanation:

Given

Veronica charges $60 for each tutoring session

Also, there is an additional charge of $0.75 per mile

Suppose she drive x miles and the total cost is represented by C

the additional cost of driving is [tex]0.75\times x=0.75x[/tex]

[tex]\therefore[/tex] The total cost for the session will be the sum of fixed cost and variable driving cost

[tex]\Rightarrow C=60+0.75x[/tex]

Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volume).

Answers

Question:

Karina has recently begun kickboxing and purchased training equipment as modeled in the diagram below. The cylindrical base is 15 inches tall with a diameter of 22 inches.

Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volume).

Answer:

[tex]Section = 4847.3205\ in^3[/tex]

Step-by-step explanation:

Given

[tex]h = 15in[/tex] -- height

[tex]d = 22in[/tex] -- diameter

Required

85% of the volume

First, calculate the radius

[tex]r = \frac{1}{2} * d[/tex]

[tex]r = \frac{1}{2} * 22= 11in[/tex]

The volume (V) is then calculated using:

[tex]V = \pi r^2h[/tex]

[tex]V = 3.142* 11^2 * 15[/tex]

[tex]V = 5702.73\ in^3[/tex]

85% of the volume is:

[tex]Section = 85\% * V[/tex]

[tex]Section = 85\% * 5702.73\ in^3[/tex]

[tex]Section = 4847.3205\ in^3[/tex]

Answer:

The answer above me is correct.

Step-by-step explanation:

Help me on this please

Answers

Answer:

c

Step-by-step explanation:

Answer C

Explanation

A package of sliced cheese weighs 2 1/4 pounds and costs $18. If 3 slices weigh a total of 2 ounces, how much do the 3 slices cost?

Answers

10 slices will cost 10 dollars

ellie wanted to order candy online. company A us offering 2 1/2 pounds of chocolate for $32.50; while company B is offering 2 3/4 pounds of the same chocolate for $35.00. what is the unit price for company A? (please include units) what is the unit price for company B? which company is offering the lowest price per pound?

Answers

Answer:

Company A = $13

Company B = $12.73

Company B

Step-by-step explanation:

To determine the unit cost for each company, divide the price of chocolate by the number of pounds

Unit cost = price ÷ total pounds offered

Company A

$32.50 ÷ 2 1/2

$32.50 ÷ 5/2

$32.50 x 2/5  = $13

Company B

$35 ÷ 2 3/4

$35 ÷ 11/4

$35 X 4/11 = $12.73

$12.73 is less than $13. Company b has a lower price per pound

using the da tat shown on the table, which statements are correct

Answers

Answer:

C

Step-by-step explanation:

If the graph of the function moves to the right two units what is the new vertex of the function

Answers

Answer:

Let's talk through this a one step at a time.

*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.

*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.

*At this point, f(x-5) has its vertex at (5,0).

*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]

*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence

a positive number of two digits the ten place exced.the unit place digit by 5 .if the producted digit is 46. find the number​

Answers

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

What is the value of x rounded to the nearest hundredth?





Question 3 options:

6


8


7


5

Answers

Answer:

I think 5 could be wrong tho

Step-by-step explanation:

4x4+3x3=25

✓25

5

Michael's lawn mower had 3/8 of a gallon of gasoline in the tank. He started mowing and used all of the gasoline. He put 4/10 of a gallon of gasoline in the tank. After he mowed, 2/4 of a gallon was left in the tank. ​What was the total amount of gasoline Michael used?

Answers

Answer:

11/40 of a gallon

Step-by-step explanation:

The amount of gasoline in the tank of lawn mower = 3/8 of a gallon

Then he put the amount of gasoline in the tank = 4/10 of a gallon

The total amount of gasoline filled in the tank = 3/8 + 4/10

= 3/8 + 2/5

= 15+16/40

= 31/40

The total amount of gasoline filled in the tank = 31/40

The amount of gasoline left in the tank after mowing = 2/4

Total amount of gasoline Michael used = 31/40 - 2/4

= 31-20/40

= 11/40 of a gallon

Alternatively, you can follow this method:

Total amount of gasoline Michael used = 3/8 + (4/10 - 2/4)

= 3/8 + (2/5 - 2/4)

= 3/8 + ( 8-10/20)

= 3/8 + (-2/20)

= 3/8 + (-1/10)

= 3/8 - 1/10

= 30-8/80

= 22/80

= 11/40 of a gallon

Total amount of gasoline Michael used = 11/40 of a gallon

what is 15%of8700 please give the right answer

Answers

15% becomes 0.15
multiply it by 8700
0.15x8700=1305

Step-by-step explanation:

8700x.15 is 1,305. that is your answer

Which function defines (g•f)(x)?

Answers

Answer:the Awnser would be d

Step-by-step explanation:

Plato

This relationship represents between f(x) and g(x) :

(g•f)(x) = 5xlog(5x) + 4log(5x) which is correct option(D).

What is function?

The function is defined as mathematics expression defines a relationship between one variable and another variable.

f(x) = log(5x)

g(x) = 5x + 4

Multiply by f(x) in g(x),

(g•f)(x) = (5x + 4)f(x)

(g•f)(x) = 5xf(x) + 4f(x)

Substitute value of f(x),

(g•f)(x) = 5xlog(5x) + 4log(5x)

Learn more about function here:

brainly.com/question/12431044

#SPJ5

The actual width of the building shown in the model below is 60 feet: What is the actual height od the building shown in the model?

100ft
150ft
210ft
300ft


the building shows the height as 5 and width is 2...​

Answers

Answer:

100ft I'm not completely sure but

Step-by-step explanaon                                                                                                                    5x5=25 2x2=4 25x4=100    

20 feet. The builder asks him to give the measurements in yards. What will be the length in yards?Immersive Reader

Answers

Answer:

6.67 yards

Step-by-step explanation:

20 feet. The builder asks him to give the measurements in yards. What will be the length in yards?

Please note that:

1 foot = 0.333 yard

20 feet = x yards

Cross Multiply

1 foot × x yards = 20 feet × 0.333 yards

x yards = 20 feet × 0.333 yards/1 foot

x yards = 6.66667 yards

Approximately = 6.67 yards

Therefore, the measurements in yards is 6.67 yards.




A car bought for $13,000 depreciates at 15% per year. Use an exponential function to find the value of the car after 5 years.

Answers

Answer:

$5768.1

Step-by-step explanation:

Given data

Cost price= $13,000

Depreciation= 15%

Time= 5 years

The expression for the depreciation is given below

A= P(1-r)^t

Substitute

A=13000(1-0.15)^5

A=13000(0.85)^5

A=13000*0.4437

A=$5768.1

Hence after 5 years, the car will be $5768.1

Find the missing side ​

Answers

16 or 17Hope I helped I’m not 100% sure sorry if the answer is wrong
just solved it!
the answer is 17

How many solutions 9+p=2p-3 have

Answers

Answer:

Only one solution

Step-by-step explanation:

p=12

Solution below:

subtract p on both sides

9=p-3

add 3 on both sides

p=12

9+p=2p-3
p=2p-12
-p=-12
p=12
One solution

CAN SOME0NE PLEASE HELP MEEE ASAP!!

Answers

Answer:

[tex]x = 35.6[/tex]

Step-by-step explanation:

It is given that figure (HGFE) and figure (LKJI) are similar. Meaning that one must multiply a side of the figure (HGFE) by a number to get the corresponding side length from the figure (LKJI). To find this number, one must divide two corresponding sides.

[tex]\frac{KL}{FE}[/tex]

[tex]=\frac{55}{17}[/tex]

Now to find a missing side in figure (LKJI) one must multiply its corresponding side by ([tex]\frac{55}{17}[/tex]) in figure (HGFE) to find the length of the missing side.

[tex]EF * \frac{55}{17} = JI\\\\11 * \frac{55}{17} = JI\\\\\frac{605}{17} = JI[/tex]

[tex]x = \frac{605}{17}\\\\x=35.6[/tex]

Answer:

IJ ≈ 35.6

Step-by-step explanation:

Since the quadrilaterals are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{IJ}{EF}[/tex] = [tex]\frac{KL}{GH}[/tex] , substitute values

[tex]\frac{IJ}{11}[/tex] = [tex]\frac{55}{17}[/tex] ( cross- multiply )

17 IJ = 605 ( divide both sides by 17 )

IJ ≈ 35.6 ( to the nearest tenth )

Perform the indicated operation. m/m+n + n/m+n

Answers

Answer:

(2mn+m+n)/2

Step-by-step explanation:

will give brainliest and 100 points
Factor the trinomial. Show ALL work: x2 − 5x + 6

Answers

Answer:

(x−2)(x−3)

Step-by-step explanation:

x²−5x+6

number = x-y = -5

x*y=6

-2+-3 = -5

-2*-3 = 6

we get

(x-2)(x-3)

Answer:

(x−2)(x−3)

Answer: x=3,x=2: (x-3)(x-2)

Step-by-step explanation: Lets factor. What two numbers multiply to get 6 and add to get 5.

The two numbers are 3 and 2 so lets start factoring.

First since its not a perfect square trinomial we know it wont be something squares.

We put (x  ?)(x   ?) the question marks are numbers that will go in so the two numbers are 3 and 2 and since the sign in front of the 5x is a minus sign both numbers will be negative. So we would do (x   3)(x   2) and both signs would be negative so we get (x-3)(x-2)

2. Solve for x, y, and z

Answers

Answer:

x=90

y=45

z=45

ok but i am not sure at all please confirm

Alonzo and Mitra wanted to share a pizza. Mitra ate
1/4
of the pizza, and Alonzo ate
3/4
of the pizza.
How much more pizza did Alonzo eat than Mitra?

Answers

Answer: 2/4 more pizzia

Step-by-step explanation: Becuse if Mirtra ate 1/4 of the pizzia then you have 3/4 left and alonzo ate 3/4 of the pizza and if you subtract those the differce ends up to be 2/4.

A rectangular exercise mat has a perimeter of 36 feet. The length of the mat has a perimeter of 36 feet. The length of the msg is twice the width . What is the area, in square feet of the mat?

Answers

Answer:

18

Step-by-step explanation:

;)

whats the answer i need help please

Answers

Answer:

fggfdf

Step-by-step explanation:

gfdgdgd

The bird population in a forest is about 2300 and is decreasing at a rate of 5% per year. Let t represent the number of years and P represent the population. Write an exponential decay model to represent this situation. (please fill in those blank spaces)

P = _____ (1 - ____ ) t

Answers

Answer: P=2300 (1- 0.05)^x

Step-by-step explanation:

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