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

5

A rectangular box of rice is shown below.

How many cubic inches of rice can fit inside?

5 in.

6 in

7 in.

cubic inches

Answers

Answer:

210in^3

Step-by-step explanation:

Given data

Dimension

Length= 5in

Width= 6in

Height= 7in

The expression for the volume of a rectangle is given as

Volume= L*W*H

Substitute

Volume= 5*6*7

Volume= 210in^3

Type the slope of the line PERPENDICULAR to y = 6x -3 *

Answers

Answer:

The slope of a line perpendicular is -1/6

Step-by-step explanation:

Perpendicular lines are opposite reciprocals so you would flip 6/1 to 1/6 and negate it. The answer is -1/6.

A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
b. What is the slope-intercept equation of the line that fits this information?

Answers

Answer: y = 10x + 30 is the correct answer

$1500 at 4% for 5 years
Find the interest earned

Answers

Answer:

I=$300

Step-by-step explanation:

P=1500

r=4%=0.04

t=5 years

I=p*r*t

I=1500*0.04*5

I=300


The point (-3, 2) is on the line given by which equation below?
HELPPP ME PLSSSS I NEED THIS NOWW

Answers

The answer is c. you can also check this by simply plugging in the x and y values.
In this case:
2=-3+5
2=2

Solve please I’m trying to find out if it’s 1/20 or 5/4

Answers

Answer:

I’m pretty sure it’s 5/4

Step-by-step explanation:

It’s 5/4 what also is 1 and 1/4

calculate the diameter of the circle

Answers

Answer:

2.64cm

Step-by-step explanation:

A = π r^2

5.5 = π r^2

1.75 = r^2

r = 1.32

Diameter is then 2(1.32) = 2.64

Answer:

2.65 cm to the nearest hundredth

Step-by-step explanation:

A = πr^2 = 5.5

r^2 = 5.5/ π = 1.5707

r = 1.3231

Diameter = 2 * r

= 2.6462.

1/3x − 1/3
Factored please help ;)

Answers

Answer:

1/3(x-1)

Step-by-step explanation:

1/3x - 1/3

Both terms have a greatest common factor of 1/3

1/3 *x - 1/3 *1

Factor out a 1/3

1/3(x-1)

Select the expression that is equal to –10(4x – 5).

Answers

Answer:

-2 (20x - 25)

Step-by-step explanation:

Answer:

40x - 50

Step-by-step explanation:

10(4x)= 40x

10(-5)= - 50

40x - 50

The cost of an article including 15% for taxes is ghc ghc138. What is the cost of the article without taxes

Answers

Answer:

Cost of article before tax is 120.

Step-by-step explanation:

It says cost of an article including 15% tax is 138.

So, let the cost of article without tax as 'x'

So, we can set up equation as

x+15%(x)=138

Simplify it

x+0.15x=138

1.15x=138

Divide both sides by 1.15

x=120

So, cost of article before tax is 120.

Which of the following correctly completes the square for: x^2+2x=48

A. (x+2)^2=52
B. (x+1)^2=49
C. (x+2)^2=47
D. (X-1)^2=26

Answers

Answer:

(x+1)²= 49, the answer is B

Step-by-step explanation:

x² + 2x = 48

x² + 2x + (2/2)² -  (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² -  (2/2)²]

(x+1)²= 49, the answer is B

Answer:

hey I'm pretty sure it's B. (x+2)²=49

Step-by-step explanation:

x²+2x+(2\2)²=48 + (2\2)²

(x+1)²=49

2 over 2 by the power of 2 = 1

please help
easy points

Answers

Answer:

its the fortnite man can i get brainlest plsss

Step-by-step explanation:

Indique la propuesta correcta con respecto a los instrumentos de medida: a) El Voltímetro A.C. Mide valor medio b) El Voltímetro D.C. Mide valor máximo c) El Amperímetro A.C. Mide valor medio d) El Amperímetro A.C. Mide valor eficaz c) El Amperímetro D.C. Se conecta en paralelo

Answers

Answer:

Las propuestas correctas son;

a) Voltímetro de CA Mide el valor medio

La magnitud del voltaje de corriente alterna varía periódicamente con el tiempo, dentro de un rango dado

El voltímetro de CA proporciona la lectura y, por lo tanto, mide el valor medio del voltaje, el voltaje pico o el R.M.S. valor de la tensión

b) El voltímetro de CC mide el valor máximo

Los valores de voltaje de un circuito de corriente de CC se fijan con el tiempo y, por lo tanto, el voltímetro de CC mide los voltajes máximos en el circuito.

c) El amperímetro de CA mide el valor medio

Similar a la medición de voltaje de CA, el amperímetro de CA mide el valor de corriente medio

d) El A.C. mide el valor efectivo

La raíz cuadrada media o R.M.S. valor es el valor medido por un R.M.S. Medidor de A.C.

e) El D.C. se conecta en paralelo

Todos los voltímetros se colocan en paralelo con el circuito desde el que se va a medir el voltaje.

Sin embargo, un amperímetro de CC está conectado en serie

Step-by-step explanation:

Does anyone know it?!

Answers

Answer:

x = 136º

Step-by-step explanation:

Answer:

x = 136º

Step-by-step explanation:

It is congruent to the angle with the measure of 136 degrees, so it will be 136.

Hope that helps!

Are the following two expressions equivalent?
Explain how you know...
3(4-x)
6(x+2)-7x

Answers

Answer:

no, because the first=12-x

and the second=-1x+2

Step-by-step explanation:

Answer:

No, they are not equivalent.

Step-by-step explanation:

First, we simplify the two expressions.

3(4 - x) = 12 - 3x  We multiply everything inside the bracket by 3.

6(x + 2) - 7x = 6x + 12 - 7x = 12 - x  Using BODMAS/BIDMAS, we first multiply everything in the brackets by 6 and then simplify.

If we compare 12 - 3x to 12 - x, we can clearly notice that they aren't equivalent. If they were to be equivalent, they would have to be exactly the same values as each other. The 12 is common in both expressions, but the -3x and -x differ, therefore the following two expressions aren't equivalent.

I hope this helps!! ^-^

Four points are labeled on the number line.


Which point best represents 1/2??

A. Point K
B. Point L
C. Point M
D.Point N

Answers

Answer:

point M represent s a third

6.6× 0.05= 0.33=1/3

Ren built a birdhouse with a volume of 224 in.3 Find the height of the birdhouse.

Answers

Complete question:

Ren built a birdhouse with a volume of 224 in³ Find the height of the birdhouse. A square pyramid. The square base has side lengths of 8 inches and the height is unknown.

Answer:

the height of the birdhouse is 10.5 in.

Step-by-step explanation:

Given;

volume of the square pyramid, V = 224 in³

length of a side of the square base, a = 8 in

The volume of square pyramid is calculated as;

[tex]V = \frac{a^2h}{3} \\\\where;\\h \ is \ height \ of \ the \ birdhouse \ (Pyramid)\\\\a^2h = 3V\\\\h = \frac{3V}{a^2} \\\\h = \frac{3 \times 224}{8^2} \\\\h = 10.5 \ in[/tex]

Therefore, the height of the birdhouse is 10.5 in.

Answer:

64 and 10 1/2

Step-by-step explanation:

$834 at 7.25% for 1 1/2years

Answers

You deposit some money into a bank account paying 2% simple interest per 6 months. You received $15 in interest after 9 months. How much the deposit (principal) was?
Result:
The principal was $500.
Explanation:
STEP 1: Convert interest rate of 2% per 6 months into rate per year.
STEP 2: Convert 9 months into years.

STEP 3: Find principal by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this example I = $15, i = 4% and t = 0.75 years, so


please help i will mark branliest

Answers

Answer:

The correct answer is D

Step-by-step explanation:

40% of 13 is 5.2 and they only raised 4 punishment that are 96 inches

How would "the product of 2 and a number plus 13" be written an
algebraic expression? *

Answers

2x+13

X= a number

2(a number) + 13

Thank you!

Answer:

2x+13

Step-by-step explanation:

A random number will be x.

The product means multiple.

Hope this helps =]

2x and 3x are like terms



Answers

The x just represents the variables

please help with my geometry

Answers

Answer: 32.036 now round this! Good Luck :)

Step-by-step explanation:

Factor completely. 492 – 9 =?​

Answers

Answer:

483

Step-by-step explanation:

Answer:

483

Step-by-step explanation:

subtract 492 by 9 and it is =483

Based on the data, how many of 650 ice cream eaters would be expected to prefer vanilla or cookie dough ice cream flavor Number of people vanilla 71 strawberry 22 cookie dough 27 chocolate 83

Answers

Answer: 305 people

Step-by-step explanation:

The total number of people sampled is:

= 71 + 22 + 27 + 83

= 209

Out of this 209, the number of people who prefer Vanilla and cookie dough ice cream is:

= 71 + 27

= 98 people

In a sample of 209 people, 98 people would prefer either vanilla or cookie dough. In 650 people, that number would therefore be:

= 98/ 209 * 650

= 305 people

14 cm
6 cm
4 cm
What is the volume of the right rectangular prism?

Answers

Answer: 336

Step-by-step explanation:

Multiply all three numbers

what is the Variable in
3x + 7

Answers

the variable is x, that's all

Answer:

x is the variable

3 is the coefficient, 7 is the constant, and + is the operator.

Here's how to identify other terms:

Does 135, 45, 15,5,represent a
geometric sequence?

Answers

Answer:

yes

Step-by-step explanation:

Each time it is divided by three!

Yes since there is a common ratio between each term.

Please help will give Brain

Answers

Answer:

5

Step-by-step explanation:

3(x+3)=4(4+2)

3x+9=24

3x=15

x=5

Hope this helps :)

The circumference of a circle is 9 cm. What is the diameter?

Answers

Answer: [tex]\frac{9}{\pi } \\or\\2.86[/tex]

Step-by-step explanation:

[tex]C=\pi d[/tex]

[tex]9=\pi d\\\frac{9}{\pi } =d\\[/tex]

Plz answer I'll give brainliest

Answers

Answer:

0 < x < 6

Step-by-step explanation:

triangle sides:

other sides subtracted < third side < other sides added

4-3 < x+1 < 4+3

1 < x+1 < 7

1-1 < x+1-1 < 7-1

0 < x < 6

Hope this helps :)

x² + y² = r²

3² + 4² = (x+1)²

9 + 16 = (x+1)²

(x+1)² = 25

take root for both

x+1 = ±5

x = -6

x = 4

-6
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