In the figure shown below If line m is parallel to line n then find the value of x

Sarah will ship packages for anyone. She charges $6 for her services and then $2.75 per item.

lesantik [10]

Answer:

y = 2.75x+6

Step-by-step explanation:

Original charge: $6

$2.75 per item which is unknown how many items. Therefore, the slope is 2.75.

3 0

3 years ago

PLS HELP! Will give 25 points!

RSB [31]

Answer and explanation:

Given: Belinda wants to invest $1,000. The table below shows the value of her investment under two different options for three different years:

Number of years 1 2 3

Option 1 (amount in dollars) 1100 1200 1300

Option 2 (amount in dollars) 1100 1210 1331

To find:

Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2?

Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years.

Part C: Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1?

Solution:

Part A: Linear and exponential functions can be used to describe the value of the investment after a fixed number of years using option 1 and option 2, respectively.

Part B: (n=n+100) and (n=n+100x) are the functions for each option to describe the value of the investment f(n), in dollars, after n years.

Part C: Yes, there will be a significant difference of 1900 in the value of Belinda's investment after 20 years if she uses option 2 over option 1.

Part A:

In the case of option 1, the linear function can be used to describe the value of the investment after a fixed number of years. This is because, in option one, the amount increases by a fixed amount every year.

In the case of option 2, the exponential function can be used to describe the value of the investment after a fixed number of years. This is because, in option 2, the amount increase is higher than last year.

Part B:

For option 1, the function is

For option 2, the function is

Here, x is the increase in amount every consecutive year.

Part C:

After 20 years, the amount from option 1 would be 3000 and the amount from option 2 would be 4900. Thus, there is a difference between 1900.

Therefore,

Part A: Linear and exponential functions can be used to describe the value of the investment after a fixed number of years using option 1 and option 2, respectively.

Part B: (n=n+100) and (n=n+100x) are the functions for each option to describe the value of the investment f(n), in dollars, after n years.

Part C: Yes, there will be a significant difference of 1900 in the value of Belinda's investment after 20 years if she uses option 2 over option 1.

Hope this helps

8 0

2 years ago

The probability that a mature hen will lay an egg on a given day is 0.80. Hannah has 12 hens. What is the probability that 10 of

OleMash [197]

Answer: 0.28

Step-by-step explanation:

Binomial probability formula :

$P(X=x)=\ ^nC_xp^x(1-p)^x$ , where x = Number of success , n= sample size , p= probability of success for each trial.

Let x = Number of hens lay eggs.

then, p= 0.80

n= 12

For x=10

$P(x=10)=\ ^{12}C_{10}(0.80)^{10}(0.20)^{2}\\\\=\dfrac{12!}{10!2!}\times 0.1073741824\times 0.04\\\\\approx0.28$

Hence, the required probability = 0.28

3 0

3 years ago

Read 2 more answers

Which expression represents the sum of (2x - 5y) and (x + y)

Hatshy [7]

Answer:

-10y

Step-by-step explanation:

6 0

3 years ago

Explain the difference between linear, exponential, and quadratic functions in terms of their graphs, their patterns, and their

Kipish [7]

Answer:

Quadratic functions are those where their rate of change changes at a constant rate. Exponential functions are those where their rate of change is proportional to itself.

An example of a quadratic function would be the shape that a ball makes when you throw it. Gravity causes a constant acceleration, the ball slows down as it is moving up, and then it speeds up as it comes down.

An example of an exponential function would be the population of a bacterium as long as there is enough space and nutrients or how your money grows with compound interest in a bank.

A quadratic function is one in the form

f(x)=ax2+bx+c

It’s rate of change (first derivative) is linear.

f′(x)=2ax+b

The rate of the rate of change (second derivative) is constant.

f′′(x)=2a

Quadratics are then the solutions to the differential equation

f′′=C

An exponential function is one in the following form.

g(x)=Aekx

It’s rate of change is another exponential function.

g′(x)=Akekx

So exponentials are the solutions to the differential equation

g′=kg

Step-by-step explanation:

Yes. : )

8 0

3 years ago