7.
A company is able to sell 600 of its product in the first year of business.
products it is able to sll decreases by 20%. If this trend continues:
Each year however, the amount of
a) How many products will it be able to sell in year 5?
b) How many products will it have sold over the course of 5 years?

Answers

Answer 1

9514 1404 393

Answer:

246 products in year 52017 products over 5 years

Step-by-step explanation:

The n-th term of the geometric series is ...

  an = a1(r^(n-1))

for first term a1 and common ratio r. The common ratio here is the growth factor: 1 -20% = 0.8. This means the 5th term (5th year sales) will be ...

  a5 = 600(0.8^(5-1)) ≈ 246 . . . . . products sold in year 5

The sum is given by ...

  sn = a1(1 -r^n)/(1 -r) = 600(1 -0.8^5)/(1-0.8) = 2017

The company will have sold about 2017 products over 5 years.


Related Questions

Kianna started her homework at 4:30 pm. She finished at 5:05 pm. How many SECONDS did it take her to finish her homework? *
1 point

Answers

Answer:

2100 second

Step-by-step explanation:

4:30 pm to minutes

4 × 60 + 30 = 240 + 30

= 270 minutes

5:05 to minutes

5 × 60 + 5 = 300 + 5

= 305

4:30 to 5:05

305 - 270

= 35 minutes

35 minutes to second

35 × 60

= 2100 second

Answer:

2100

Step-by-step explanation:

25 minutes you need to know that 60 sec =1 hour.35x60=2100

someone pls help I'm genuinely confused

I've literally been trying to figure out all three of these for like two hours now but I can't figure it out

Answers

Answer:

the area is 50

Step-by-step explanation:

Answer:

its 0.09637 but round it by urself . please like my answer and brainliest me hshsshhs

evaluate y-x when y= -9 and x = -5

Answers

Answer:

-5

Step-by-step explanation:

Michael used software to calculate the cost of materials for his project. To make these calculations, he used a ____
a.spreadsheet
b.compact disk
c.word processor
d.database

Answers

Answer:

its spreadsheet or excel

Simplify the following expressions by combining like terms. Then, tell if the expressions are equivalent.

3r + 10 + r -8 and 8 + 2(2r) - 6

Answers

Answer:

2+4r. Expressions are equivalent.

Step-by-step explanation:

3r + 10 + r -8

Multiply r and 3

Multiply r and 1

The r just gets copied along.

The answer is r

r

3*r evaluates to 3r

3*r+10 evaluates to 3r+10

3r + r = 4r

The answer is 4r+10

3*r+10+r evaluates to 4r+10

10 - 8 = 2

The answer is 2+4r

3*r+10+r-8 evaluates to 2+4r

The final answer is

2+4r

8 + 2(2r) - 6

Multiply r and 2

Multiply r and 1

The r just gets copied along.

The answer is r

r

2*r evaluates to 2r

Multiply 2 and 2r

Multiply 1 and r

The r just gets copied along.

r

2*(2*r) evaluates to 4r

8+2*(2*r) evaluates to 8+4r

8 - 6 = 2

The answer is 2+4r

8+2*(2*r)-6 evaluates to 2+4r

The final answer is

2+4r

Please give me the correct answer​

Answers

Answer:

-63

Step-by-step explanation:

5×9 = 45

45/-5 = -9

-9×7 = -63

Carey is mixing a pitcher of lemonade. The table below shows how many tablespoons of lemon juice should be added to different amounts of water to make lemonade.
How many tablespoons of lemon juice should Carey add to 18 cups of water?

Answers

Answer would be 12 so C

Explanation look at the 8 cups of water is 6 times it by 2 it’s 12

RS= 4y+2, ST = 3y+8, and RT = 38 what is the value of y

Answers

Answer:

y = 4

Step-by-step explanation:

Given that,

RS= 4y+2, ST = 3y+8, and RT = 38

We need to find the value of y.

As,

RT = RS+ST

Put all the values,

38 = 4y+2+3y+8

38-2-8 = 4y+3y

28 = 7y

y = 4

So, the value of y is equal to 4.

complete the table below to show the differences bettween algebraic expression and equation

Answers

Complete the table below to show the differences between algebraic

expression and equation.

Describe each to show their differences.

Give 3 examples of each.

Answer:

Explained below with examples

Step-by-step explanation:

1. Algebraic expression in mathematics are basically expressions that are formed from variables, integer constants, and also algebraic operations.

Examples include;

>> 2x² − xy

>> 3ab + 2b²

>> x² + y²

2. An algebraic equation is a phrase where the two sides of the equation which are the left and right hand sides are connected by the equal to sign (=).

Examples are;

>> 3y - y² = 2y² + 2

>> 3x - 4y = x + 2

>> 5a + 3b = 2b - 1

A grain silo has a cylindrical shape. Its radius is 9.5 ft, and its height is 48 ft. What is the volume of the silo?
Use the value 3.14 for pi, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

Step-by-step explanation:

Volume of the silo

= 3.14(9.5^2)(48) sq. ft

=13602.48 sq. ft

=13602 sq. ft (cor. to the nearest integer)

which graph represents the function f(x)=4|x|?

Answers

Answer:

I think this is what the graph looks like.

Step-by-step explanation:

I hope this helps.sorry if it's wrong.

Answer:

it will go through the points (-1, 4), (0,0), and (1, 4)

Step-by-step explanation:

Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.

Part A
Choose the inequality and solution to represent the number of cans, x, that Xander must still collect.
a x + 64 ≤ 120; x ≤ 56
b x + 120 ≤ 64; x ≤ –56
c x + 64 ≥ 120; x ≥ 56
d x + 120 ≥ 64; x ≥ –56

Answers

Answer:

b

Step-by-step explanation:

HELP Easy math easy points look at the photo

Answers

Answer:

x = 60

Step-by-step explanation:

33 + 87 + 60 = 180

:))

Answer:

x = 60

Step-by-step explanation:

Write (3i-2/3)-(6i-5) as a complex number in standard form.
A.(13/3-9i)
B.(13/3-3i)
C.(17/3-3i)
D.(13/3+9i)
E.13 - i

Answers

Answer:

(13/3+9i)

Step-by-step explanation:

4. What is the volume of the triangular pyramid?
10 in
6 in
8 in
Will Mark brainliest

Answers

Answer:

V=6240 in^3

Step-by-step explanation:

I am not sure what the base is but here is my guess:

V=13Ah

V=13(48)(10)

V=6240 in^3

Micah and his brother found some cash at
a bus stop. They split the money evenly, each
getting $ 16. How much money did they find?
m

Answers

Answer:

32

Step-by-step explanation:

Add 16 + 16

A population numbers 10,000 organisms initially and decreases by 4.1% each year.
Suppose P represents population, and t the number of years of growth. An exponential model for the
population can be written in the form P = a b where
P=

Answers

Answer:

[tex]y = 10000 * 0.959^t[/tex]

Step-by-step explanation:

Given

[tex]a = 10000[/tex]

[tex]r = 4.1\%[/tex]

Required

Express as an exponential function [tex]y =ab^t[/tex]

First, we calculate the value of b;

Since the population decrease, then

[tex]b = 1 - r[/tex] --- This represents decrement of decay factor

Substitute [tex]r = 4.1\%[/tex]

[tex]b = 1- 4.1\%[/tex]

[tex]b = 0.959[/tex]

So:

[tex]y =ab^t[/tex] becomes

[tex]y = 10000 * 0.959^t[/tex]

PLEASE HELP
3/4x - 7 = 3 (1/6x +1)

Solve the linear equation and determine whether it’s one solution or infinite solution or no solution

Answers

Answer: one solution

Step-by-step explanation:

CONCEPT:

- One solution is when the final variable would be able to find a solution.

- Infinite solution is when the equations result in 0=0, meaning any number will fit

- No solution is when the equation results in both sides on equal.

SOLVE:

Given

3/4x-7=3(1/6x+1)

Expand Parenthesis

3/4x-7=1/2+3

Multiply both sides by the LCM of fractions (Least Common Multiple)

4(3/4x-7)=4(1/2x+3)

3x-28=2x+12

Subtract both sides by 2x

3x-28-2x=2x+12-2x

x-28=12

Add both sides by 28

x-28+28=12+28

x=40

Since we are able to get exactly one solution, there is only one solution.

Hope this helps!! :)

Please let me know if you have any quesionts

t/15=3 what operation is that?

Answers

Answer:

t = 45

Step-by-step explanation:

[tex]\frac{t}{15} = \frac{3}{1}[/tex]

t × 1 = 15 × 3

t = 45

plz answer ASAP tysm !

Answers

Answer:

I already did

Step-by-step explanation:

What advice would you give other students about how to solve these percent problems?

My last question for today. I hope you all had some type of enjoyment. I still have some questions up that are unanswered in the math subject so if you’d like to answer them find my name on the math subject and answer them please! You WILL get Brainliest for the correct answer.

As always, have an amazing day/night. :))

Answers

Answer:

I would make sure to note keywords in the problem/question such as (percent) off, (percent) tax, etc. These words can determine if the original number will become higher or lower after the percent is applied to the original number. For example, if there is a price for a t-shirt of $15, and there is a tax of 13%, the original price will increase. On the other hand, if there is a sale for pants at the local department store and you are buying a pair of pants that cost $25 with the sale being 10% off, the price will decrease.

3) Determine the greatest common factor between
Xy2 and x6y2

Answers

Answer:

it would be GCF= xy^2

Step-by-step explanation:

because you have to put the lowest variable for the GCF, therefore, its only 1 x and then y^2

A minute- hand of a clock is 16 in long. Find the distance traveled by the tip of the minute - hand in one hour.

Answers

Answer: 16/2=8
8 * 8 = 64
64* 3.14 = 200.96
200.96 * 60 = 12057.6

Hope this helps (:

v=10 e=5
2v divided by e + 4

Answers

V=10 2(10)= 20 divided by e
E=5 so 20 divided by 5=4
The answer of 2v/e is 4

joe spend 1 1/3 hours studying for his math test. randy studied for 1/2 the amou t the time that joe did. what fraction of an hour did randy spend studying

Answers

Step-by-step explanation:

Lets convert 1 1/3 into improper fraction.

[tex]1 \frac{1}{3} = \frac{1 \times 3 + 1}{3} \\ = \frac{4}{3} [/tex]

Since Randy studied half the above time,

Randy Studied:

[tex] \frac{1}{2} \times \frac{4}{3} \\ = \frac{1 \times 4}{2 \times 3} \\ = \frac{4 \div 2}{6 \div 2} \\ = \frac{2}{3} hours[/tex]

Part A: Create an example of a polynomial in standard form. How do you know it is in standard form? (5 points)

Part B: Explain the closure property as it relates to polynomials. Give an example. (5 points)

Answers

Answer:

A)

The "Standard Form" for writing down a polynomial is to put the terms with the highest degree first.

For example, the polynomial f(x)=x5+2x3−x2+2x+1 is in standard form because the highest degree terms are kept first.

B)

The problem 3 + 6 = 9 demonstrates the closure property of real number addition.

Observe that the addends and the sum are real numbers.

The closure property of real number addition states that when we add real numbers to other real numbers the result is also real.

In the example above, 3, 6, and 9 are real numbers  

Part(A),

The standard form of the polynomial is 3x⁴ - 2x³ + 5x² + 7x - 1.

Part(B),

This is another polynomial, so the closure property holds. Similarly, if we subtract or multiply these polynomials, the result is always another polynomial.

2x³ - 4x² - x + 8

What is a polynomial?

A polynomial is a mathematical statement made up of exponents, coefficients, and variables, which are frequently denoted by the symbol x. (numbers that indicate the power to which the variable is raised).

Part A:

An example of a polynomial in standard form is:

3x⁴ - 2x³ + 5x² + 7x - 1

This polynomial is in standard form because the terms are written in descending order of degree, and each term has a coefficient and a variable raised to a power.

Part B:

The closure property of polynomials states that if we add, subtract, or multiply two polynomials, the result is always another polynomial.

For example, consider the polynomials:

f(x) = 2x³- 5x² + 3x + 1

g(x) = x² - 4x + 7

If we add these polynomials, we get:

f(x) + g(x) = 2x³ - 4x² - x + 8

This is another polynomial, so the closure property holds. Similarly, if we subtract or multiply these polynomials, the result is always another polynomial.

The closure property is important in algebra because it ensures that the operations we perform on polynomials are always well-defined and meaningful.

To know more about polynomials follow

https://brainly.com/question/30489746

#SPJ2

Find the height and area of the polygon. Round your answer to the nearest thousandths (Use exact values until the end).

Answers

Answer:

height 6 radicAL 2 area: 120 radical 2

Step-by-step explanation:

Help me with this please:)

Answers

You’ll have to use pythagoras theorem = a^2+b^2=c^2

15^2 = 225
9^2 = 81

225 - 81 = 144

Square root of 144 is 12

Therefore a = 12m

Answer:

12m

Step-by-step explanation:

a+b=c

a=?

b=9m

c=15m

a+9m×9m=15m×15m

a+81=225

a=225-81

a=144

find its square root

a=12m

Please help take a look at this photo will give Brainly

Answers

Answer:

60 degrees

Step-by-step explanation:

On the diagram, we can see that the two angles have a dash on each of them. This means that they have the same measure.

So, if angle ABD is 60 degrees, then angle DBC would also be 60 degrees.

I hope this helps!

Solve for the unknown values.

Answers

Answer:

y=45° x=81°

Step-by-step explanation:

the 2 angles across the outside angles sum up to the given number so just subtract 95-50= 45, with that we know subtract from the total sum of every triangle which is 180. So we add the 2 angles we have now, 50+45=99. Now we subtract, 180-99= 81.

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