Omg this is the last one dankuch and many others that helped me thank you im gratefull

The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

likoan [24]

Answer:

A) 3%

B) Product A

Step-by-step explanation:

Exponential Function

General form of an exponential function: $y=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Part A

Product A

Assuming the function for Product A is exponential:

$f(x) = 0.69(1.03)^x$

The base (b) is 1.03. As b > 1 then it is an increasing function.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, product A is increasing by 3% each year.

Part B

$\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100$

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

$\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%$

Check using different two consecutive values of f(t):

$\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%$

Therefore, as 3% > 1%, Product A recorded a greater percentage change in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

a = 10,100
b = 1.01
n = t - 1 (as the initial value is for t = 1 not t = 0)

$\implies f(t) = 10100(1.01)^{t-1}$

To check this, substitute the values of t for 1 through 4 into the found function:

$\implies f(1) = 10100(1.01)^{1-1}=10100$

$\implies f(2) = 10100(1.01)^{2-1}=10201$

$\implies f(3) = 10100(1.01)^{3-1}=10303.01$

$\implies f(4) = 10100(1.01)^{4-1}=10406.04$

As these values match the values in the given table, this confirms that the found function for Product B is correct and that Product B increases by 1% per year.

4 0

2 years ago

After reading the story “First Day of School,” pick up where the story left off and add a climax, falling action and resolution.

Anit [1.1K]

Although this question asks for original work, and therefore, only you can complete it, we can provide an example to help you guide your work:

"My sister and I said goodbye to mom, and we were ready to finally approach the school and begin one of the most important days of our lives. We were nervous, and worried about whether this year was going to be a good one. I turned around to my sister and asked:

- Are you ready?

- I'm so not ready...

We approached the school, and as we pulled the door, the most delicious smell hit us. It smelled like sweetness, and like a day in the park. We walked in, and what we saw left us in awe.

The school had organized a festival! In order to make the first day of school easier, the morning classes had been cancelled, and we were instead allowed to run and play for a few hours, in order to get to know each other. I saw donuts, corndogs and ice cream. I also saw many kids running around. My sister could not believe her eyes.

- This is the best day ever! - she yelled, while she ran to grab a donut."

In this addition, the conflict is an internal one, as the children feel worried about school. However, this is resolved by the festival that was organized. The climax occurs when the children notice the festival, while the falling action and resolution occur when the children are able to relax and their worries about school disappear.

8 0

3 years ago

Write in standard form: 4 (2a) + 7 (-4b) + (3.c - 5) * The . is a multiplication sign.

alisha [4.7K]

Refer to cy math.com they have the answer

3 0

3 years ago

Test Number 2: This test tests how smart the users on the website is C=5/9(F−32)

joja [24]

Step-by-step explanation:

c=5/9(f-32) can also be written as c = 5(f - 32)/9.

Multiply each side by 9.

That gives us 9c = 5(f - 32).

Apply distributive rule on the right side.

9c = 5f - 160

Add 160 to the left side.

9c + 160 = 5f

Lastly, divide both sides 5.

(9c + 160)/5 = f

4 0

3 years ago

A new app was download 175 times in the first week. Since then the number of downloads has increased continuously by 16.5% each

julia-pushkina [17]

Answer:

Step-by-step explanation:

8 0

3 years ago