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Ray Of Light
15 days ago
7

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

of two products, A and B, over time. The price f(x), in dollars, of product A after x years is represented by the function below: f(x) = 72(1.25)x Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points) Part B: The table below shows the price f(t), in dollars, of product B after t years: t (number of years) 1 2 3 4 f(t) (price in dollars) 65 84.5 109.85 142.81 Which product recorded a greater percentage change in price over the previous year? Justify your answer.
Mathematics
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Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in bonds. Call t
zzz [12365]

Answer:

The solution to this problem indicates that Hernry invested $18,000 in stocks and $6,000 in bonds.

Step-by-step explanation:

First, you need to multiply 6 by 3. The outcome is 18, meaning it is three times higher than the bond amount. Next, subtract $24,000 from $18,000, which gives you $6,000, representing the bond investment. Hence, it is three times less than the stocks as the question describes.

4 0
3 months ago
Read 3 more answers
Which is true regarding the graphed function f(x)?
AnnZ [12381]

Explanation:

Hello! Please remember to formulate complete questions to receive accurate answers. I will assume that the depicted function derives from:

f(x)=\left(x-4\right)^{2}+5

This describes the equation of a parabola that opens upwards, with its vertex positioned at:

V(4,5)

The graph below illustrates this function. What is true about the graphed function f(x)?

  • It is accurate that the domain consists of all real numbers, as this is a polynomial function.

  • It is also correct that the range includes all real numbers where y ≥ 5

  • It is indeed true that this parabola opens upwards

  • It is valid to say it does not intersect the x-axis

6 0
2 months ago
.580 80 repeating as fraction
Svet_ta [12734]
To start, we will shift the non-repeating segment of the decimal to the left side by dividing by a power of 10.

Then we will assign a variable to represent the value and also shift the repeating segment to the left.

Essentially, the concept here is that we can denote the repeating portion with a variable, let's say "x", and move forward with the calculation;

\bf 0.580\overline{80}\implies \boxed{\cfrac{5.80\overline{80}}{10}}\qquad \textit{now, let's say }x= 5.80\overline{80}\\\\
-------------------------------

\bf thus\qquad \begin{array}{llll}
100\cdot x&=&580.80\overline{80}\\
&&575+5.80\overline{80}\\
&&575+x
\end{array}\qquad \implies 100x=575+x
\\\\\\
99x=575\implies x=\cfrac{575}{99}\qquad therefore\qquad \boxed{\cfrac{5.80\overline{80}}{10}}\implies \cfrac{\quad \frac{575}{99}\quad }{10}
\\\\\\
\cfrac{\quad \frac{575}{99}\quad }{\frac{10}{1}}\implies \cfrac{575}{99}\cdot \cfrac{1}{10}\implies \cfrac{575}{990}\implies \stackrel{simplified}{\cfrac{115}{198}}

you can verify that using your calculator.
4 0
3 months ago
Read 2 more answers
Chiang is filling a 50ft container with water at a rate of 0.5 ft/ min. interpret the key features for this situation
Leona [12618]

Answer:

The main aspects are

50ft³ = volume

0.5ft³/min = filling rate

Time= 100 minutes

Step-by-step breakdown:

Chiang is in the process of filling a 50ft container with water at a speed of 0.5 ft/min.

50ft³ = volume

0.5ft³/min = flow rate

It’s important to note that we still need to determine how long it will take to fill the 50 ft³ container.

Time = volume / rate

Time = 50 ft³ / 0.5 ft³/min

Time = 50 / 0.5 min

Time = 100 min

The main aspects are

50ft³ = volume

0.5ft³/min = filling rate

Time= 100 minutes

7 0
4 months ago
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