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{,}00010,00010, comma, 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\%20%20, percent every 666 months.

Answers

Answer 1

Answer:

The decrease in the use of older version is given by,[tex]y = 10000 \cdot0.60^{t}[/tex].

Step-by-step explanation:

It is provided that 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.

The exponential decay function is given as follows:

[tex]y=a(1-r)^{t}[/tex]

Here,

y = final value

a = initial value

r = decay rate

t = time taken

It is provided that there were 10,000 people using the older version of the spreadsheet program when the new version first came out. And the number of people still using the older version decreases by 20% every 6 months.

So, every half-yearly the decrease in the number of people using the older version is 20%. This implies for a year the decay rate is 40%.

Then the decrease in the use of older version is given as follows:

[tex]y=10000(1-0.40)^{t}\\\\y=10000\cdot 0.60^{t}[/tex]


Related Questions

Indicate whether each of the following fractions is proper or improper.
a. 4⁄16
b. 75⁄70
c. 2⁄15
d. 6⁄6

Answers

A. Proper
B. Improper
C. Improper
D. Proper

Answer:

Answers are below

Step-by-step explanation:

a. 4⁄16      Proper because the numerator is less than the denominator.

b. 75⁄70   Improper because the numerator is greater than the denominator.

c. 2⁄15      Proper because the numerator is less than the denominator.

d. 6⁄6       Proper because the numerator is less than or equal to the denominator.

If these answers are correct, please make me Brainliest!

Help me on both these please :(

Answers

Answer:

25. C

26. F

Step-by-step explanation:

26.

You know that the sum of all of the angles in a triangle must be equal to 180º, we can make an equation.

55º + 67.5º + 3xº + 14º = 180º

Combine like terms:

136.50º+ 3xº = 180º

Subtract 136.50º

3xº = 180º - 136.50º

3xº = 43.50º

Divide by 3

xº = 43.50º / 3º

x = 14.50º

The grid you see below is in the shape of a rectangle. What is the area, in square
units, of the shaded part?​

Answers

Answer:

The area of the shaded region is [tex]18\ \text{units}^2[/tex].

Step-by-step explanation:

On the attached figure, a rectangle is shown. It is required to find the area of the shaded part. The shaded part forms a triangle. The area of a triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h[/tex]

b is base and h is height

From this figure, each box is a square of side 1 unit say.

Its height will be 4 units and its base is 9 units

So,

[tex]A=\dfrac{1}{2}\times 9\times 4\\\\A=18\ \text{units}^2[/tex]

So, the area of the shaded region is [tex]18\ \text{units}^2[/tex].

What is the length of the hypotenuse

Answers

Answer:

15ft

Step-by-step explanation:

a^2 + b^2 = c^2

12 or 9 can equal to b or a

12^2 + 9^2 = c^2

144 + 81 = c ^2

225 = c^2

Square root of 225

15 = c

Answer:

15

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + 12^2 = c^2

81+144 = c^2

225 = c^2

15 = c

help as soon as possible plss

Answers

Answer:

By using the Pythagorean Theorem, we know that the length of the slide is 17 ft.

Step-by-step explanation:

We can use the Pythagorean Theorem to solve this equation.

[tex]a^2+b^2=c^2[/tex]

a = 8

b = 15

Now, let's plug in these numbers so we can know the length of the slide.

[tex]8^2+15^2=c^2\\64+225=c^2\\289=c^2\\\sqrt{289}=\sqrt{c^2}\\17=c[/tex]

So, the length of the slide is 17 ft which is answer choice C.

Answer:

a^2 + b^2 = c^2

8^2 + 15^2 = c^2

64 + 225 = c^2

289 = c^2

[tex]\sqrt{289}[/tex] = c

17

Solve for x. Explain the steps taken to find the solution.

3/2 + 3x/5 = 9/2 4x/5

Answers

Answer:

46

i just got it right

Which interval represents a peak in the histogram?

0-99
100-199
200-299
300-499
400-499

Describe the overall shape of the histogram:​

Answers

Answer:

it is 200-299

Step-by-step explanation:

i think that because it shows it and it is easy i mean if u look at it it shows the answer

The graph of F(x), shown below in pink, has the same shape as the graph of
G(X) = x2, but it is flipped over the x-axis and shifted down 1 unit. What is its
equation?

Answers

We have been given that the graph of [tex]F(x)[/tex] has the same shape as the graph of [tex]G(x)=x^2[/tex], but it is flipped over the x-axis and shifted down 1 unit. We are asked to find the equation of [tex]F(x)[/tex].

We will use transformation rules to solve our given problem.

The rule of reflection of a graph about x-axis is [tex]f(x)\Rightarrow -f(x)[/tex].

Let us find [tex]-G(x)[/tex] as:

[tex]-G(x)=-(x^2)=-x^2[/tex]

Now we will shift our graph 1 unit down.

[tex]f(x)-a\Rightarrow\text{Graph shifted downwards by a units}[/tex], where a is a positive number.

This is same as subtracting 1 from [tex]-x^2[/tex] as:

[tex]F(x)=-x^2-1[/tex]

Therefore, our required function would be [tex]F(x)=-x^2-1[/tex].

what is 9^3 as a power of 3 ​

Answers

Answer:

729

Step-by-step explanation:

9³ you just type that in the calculator

Answer:

[tex] {3}^{6}[/tex]

Step-by-step explanation:

[tex] \huge {9}^{3} \\ \huge= ( {3}^{2} )^{3} \\ \huge = {3}^{2 \times 3} \\ \huge= {3}^{6}[/tex]

The points (-16,r) and (-4,11)lie on a line with slope 1/2. Find the missing coordinate r?

Answers

Answer: The missing coordinate R is 5.

Step-by-step explanation:

11=1/2(-4) + B

11=-2 +B  

B= 13

B represents the y-intercept

so we will use the equation y=mx + B  and we know the slope and y intercept.

r= 1/2(-16) + 13

r= 5

How many 3-letter combinations can be made from this set if no letter can be repeated?
{a, b, c, d, e, f}
A.100
B.120
C.240
D.30

Answers

Answer:

B 120 different combinations

Step-by-step explanation:

There are 6 letters to choose from

Picking a letter for the first spot  6

Then there are 5 letters left

Picking a letter for the second spot  5

Then there are 4 letters left

Picking a letter for the second spot  4

6*5*4

= 120

Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a to the power of 5 and 9a to the power of 5.

Answers

Answer:

[tex]36a^5[/tex].

Step-by-step explanation:

In a right angle triangle,

Length of one leg [tex]=12a^5[/tex]

Length of other leg [tex]=9a^5[/tex]

According to the Pythagoras theorem,

[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]

Using Pythagoras theorem,

[tex]Hypotenuse^2=(12a^5)^2+(9a^5)^2[/tex]

[tex]Hypotenuse^2=144(a^5)^2+81(a^5)^2[/tex]

[tex]Hypotenuse=\sqrt{225(a^5)^2}[/tex]

[tex]Hypotenuse=15a^5[/tex]

Perimeter of right angle triangle is the sum of all sides of the triangle.

[tex]Perimeter=12a^5+9a^5+15a^5[/tex]

[tex]Perimeter=36a^5[/tex]  units.

Therefore, the required expression is [tex]36a^5[/tex].

Sandra bought 3 pounds of sweet potatoes for
$4.50. What is the cost per pound of the sweet
potatoes?

Answers

Answer:

$1.5

Step-by-step explanation:

A line passes through the point (-8,3) and had a slope of -3/4. Write an equation in point-slope form for this line

Answers

Answer:y-3=-3/4(x+8)

Step-by-step explanation: you plug the numbers into the formula y-y1=slope(x-x1)

Solve 5(g-2)+g=6(g-4

Answers

0 =/ 14 is the answer to the problem

Answer:

g = -13

Step-by-step explanation:

5(g-2)+g=6(g-4)

5g - 10 + g = 6g - 24

5g + g - 6g = -24 + 10

6g - 6g = -13

g = -13

What is the mean absolute deviation of this data set? 26, 31, 32, and 39

Answers

Answer:

3.5

Step-by-step explanation:

26, 31, 32, and 39

First we need to find the mean

(26+ 31+ 32+ 39) /4

128/4 = 32

The mean absolute deviation is sum of   the positive difference between the number and the mean  divided by the number of terms

((32-26)+ (32-31)+ (32-32)+ (39-32)) /4

14/4

3.5

What is the y-intercept of the graph of the equation y = 4(3^x)?
a. (0,3)
b.(0,12)
c.(0,8)
d.(0,4)

Answers

d. You substitute 0 for x

A weight is attached to a spring which moves up and down as a function of time
plt) uves the position of the weight at time (t). Position is in centimeters and time is in seconds
Complete the following sentences based on the graph of the function,
• The graph is a nonlinear function
• The initial position of the weight is centimeters
• The weight first reaches equilibrium Whent = seconds)
Note: We say that the weight is at equilibrium whenever plt) = 0 cm, and we say that the initial position of the block
is its position when t = 0

Answers

When t=0 the circumference is 7

a circle with a radius of 1 unit​

Answers

Answer:

C= 6.28 A: 3.14

Step-by-step explanation:

Circumference of a circle is 2* pi * r

Based on this, we can subsitute r for 1

2* pi * 1= 2pi which is around 6.28 units

Area of a circle is pi* r* r

Based on this, we can subsitute r for 1

pi* 1* 1= pi= 3.14 units squared

Sarah solved this system of equations. 4x + 2y = –14 –10x - 7y = –25 Step 1: 40x + 20y = –140    –40x - 28y = 100 Step 2: –8y = –40 Step 3: y = 5 Step 4: 4x + 2(5) = –14 Step 5: x = –6 Step 6: Solution: (–6, 5) Did Sara find the correct solution to the system of equations? Explain. Yes, Sara found the correct solution. No, in step 1 she multiplied the right side of the second equation by –4 instead of by 4. No, in step 4, she substituted the value of y back into the wrong equation to solve for x. No, in step 6, she switched the order of the solution. It should be (5, –6).

Answers

Answer:

The answer is B "No, in step 1 she multiplied the right side of the second equation by -4 instead of by 4"

Step-by-step explanation:

Answer:

A) Yes, Sara found the correct solution.

B) No, in step 1 she multiplied the right side of the second equation by –4 instead of by 4.

C)No, in step 4, she substituted the value of y back into the wrong equation to solve for x.

D)No, in step 6, she switched the order of the solution. It should be (5, –6).

Answer = B) No, in step 1 she multiplied the right side of the second equation by –4 instead of by 4.

Step-by-step explanation:

I just did the assignment.

Yesterday, the price of a gallon of gas at five gas stations was $3.72, $3.87, $3.78, $4.09, and $3.989, respectively, but today each gas station raised its price by $0.08. What is today's mean price of a gallon of gas at the five stations?

A. 3.97
B. 4.05
C. 3.89
D. 3.81

Answers

Answer:

Option (A) 3.97.

Step-by-step explanation:

Price for one gallon of gas in gas station 1 = $3.72 (Yesterday)

Price for one gallon of gas in gas station 2 = $3.87 (Yesterday)

Price for one gallon of gas in gas station 3 = $3.78 (Yesterday)

Price for one gallon of gas in gas station 4 = $4.09 (Yesterday)

Price for one gallon of gas in gas station 5 = $3.989 (Yesterday)

Prise raised by each gas station Today = $0.08

Price for one gallon of gas in gas station 1 = $3.72 + $0.08

                                                                      =  $3.80 (Today)

Price for one gallon of gas in gas station 2 = $3.87 + $0.08

                                                                       =  $3.95 (Today)

Price for one gallon of gas in gas station 3 = $3.78 + $0.08

                                                                       =  $3.86 (Today)

Price for one gallon of gas in gas station 4 = $4.09 + $0.08

                                                                       =  $4.17 (Today)

Price for one gallon of gas in gas station 5 = $3.989 + $0.08

                                                                       =  $4.069 (Today)

Mean = Sum of the Terms Number of Terms / Total Number of Terms

          = $3.80 + $3.95 + $3.86 + $4.17 + $4.069 / 5

          = 19.849 / 5

          = 3.9694

          = 3.97 (Approximately)

As we can see that the Option (A) 3.97 correctly matches the answer.

So the correct answer is Option (A) 3.97.


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https://brainly.ph/question/2778281

Hope my answer helps you ✌️

Mark BRAINLIEST

Find an explicit formula for the geometric sequence 3, 15, 75, 375...

Answers

Answer:

3 * 5 ^ (n-1)

Step-by-step explanation:

3 is the first term and it multiplies by 5

The explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]

The standard explicit formula for  a geometric sequence is expressed as:

[tex]T_n = ar^{n-1}\\[/tex]

a is the first term

r is the common ratio

n is the number of terms

Given the sequence of numbers 3, 15, 75, 375...

r = 15/3 = 75/15 = 5

a = 3

Substitute the given parameters into the formula to have:

[tex]T_n = ar^{n-1}\\T_n=3(5)^{n-1}[/tex]

Hence the explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]

Learn more here: https://brainly.com/question/20548958

please help im having trouble with these problems​

Answers

Answer:

B I think

Step-by-step explanation:

Write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).

Answers

Answer:

y = - 8x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6), thus

y = a(x - 0)² + 6, that is

y = ax² + 6

To find a substitute (- 1, - 2) into the equation

- 2 = a(- 1)² + 6, that is

- 2 = a + 6 ( subtract 6 from both sides )

- 8 = a

y = - 8x² + 6

The formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

A quadratic function is represented as:

[tex]y = a(x - h)^2 + k[/tex]

The vertex of the quadratic function is given as:

[tex](h,k) = (0,6)[/tex]

So, we have:

[tex]y = a(x - 0)^2 + 6[/tex]

This gives:

[tex]y = ax^2 + 6[/tex]

The quadratic function passes through (-1,-2).

So, we have:

[tex]-2 = a(-1)^2 + 6[/tex]

[tex]-2 = a + 6[/tex]

Subtract 6 from both sides

[tex]a = -8[/tex]

Substitute -8 for a in [tex]y = ax^2 + 6[/tex]

[tex]y = -8x^2 + 6[/tex]

Hence, the formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

Read more about quadratic functions at:

https://brainly.com/question/11631534

PLS HELP!! AND HURRY!! Find an expression for the nth term (tn) in each of the following sequence:
2, 6, 10, 14, 18…

Answers

Answer:

For the expression they are adding by 4.

Step-by-step explanation:

2+4=6, 6+4=10, 10+4=14, 14+4=18, 18+4=22, and it goes on and on.

A data set is normally distributed with a mean of 115 and a standard deviation of 23. What is the probability that a value in the data set is greater than or equal to 162?
The probability is about __

Answers

Answer:

The probability that a value in the data set is greater than or equal to 162

P(X≥162) = 0.0207

Step-by-step explanation:

Step(i):-

Given mean of the Population = 115

Given standard deviation of the Population = 23

Let 'x' be the random variable of normal distribution

Let x = 162

[tex]Z = \frac{x-mean}{S.D} = \frac{162-115}{23}[/tex]

z = 2.043

Step(ii):-

The probability that a value in the data set is greater than or equal to 162

P(X>x) = P(Z>z) = P(Z> 2.043)

P(X≥162) = P(Z≥2.043) = 1-P(Z≤ 2.043)

                                      =  1- ( 0.5 +A(2.043)

                                      =   1-0.5 -A(2.043)

                                      =    0.5 - 0.4793

                                      =  0.0207

Final answer:-

The probability that a value in the data set is greater than or equal to 162

P(X≥162) = 0.0207

If the probability of a chance event is 0.67, it is less likely to happen
than which of the following probabilities of another chance event?
Select one:

0.76

0.61

0.65

0

Answers

Answer:

.76

Step-by-step explanation:

Find one value of x that is a solution to the equation:
(2x-3)^2=4x-6​

Answers

Answer:

5/2 or 3/2

Step-by-step explanation:

(2x-3)(2x-3)

FOIL it out

4x^2-6x-6x+9

4x^2-12x+9=4x-6

add 12x to each side

4x^2+9=16x-6

add 6

4x^2+15=16x

4x^2-16x+15=0

use quadratic formula

!!15p!!
Which statement explains how to calculate the mean of a set of data?
A
Subtract the smallest from the largest value.
B. Add the largest and the smallest values and divide by 2.
C. Find the sum of all the values and then divide by the number of values.
D. Organize the data from least to greatest and find the value in the middle.
E Organize the data from least to greatest and identify which value is repeated the most often.

Answers

Answer:

C

Step-by-step explanation:

Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean!

I think it’s C, if no, sorry :/

box and whisker 45 50 55 60 65 70 75

Answers

Answer:    40 45 50 55 60 65 70 75 80 40 45 50 55 60 65 70 75 80 H J G 40 45 50 55 60 65 70

Step-by-step explanation: Keeps repeating

Answer:

Please see attached image of a box plot.

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