A bag weighs 4100 grams (g). How much does this bag weigh in kilograms (kg)?

Every two years, a manufacturer's total yearly sales decline 20%. She sells 400 total units in her first year. Rounded to the ne

Vesna [10]

$\bf \textit{Periodic Exponential Decay}\\\\
A=I(1 - r)^{\frac{t}{p}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\\
r=rate\to r\%\to \frac{r}{100}\\
t=\textit{elapsed time}\\
p=period
\end{cases}$

we know, the first year she sold 400 units, thus year 0, 400 units, t = 0, A = 400.

$\bf \textit{Periodic Exponential Decay}\\\\
A=I(1 - r)^{\frac{t}{p}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &400\\
I=\textit{initial amount}\\
r=rate\to r\%\to \frac{r}{100}\\
t=\textit{elapsed time}\to &0\\
p=period
\end{cases}
\\\\\\
400=I(1-r)^{\frac{0}{p}}\implies 400=I\cdot 1\implies 400=I$

therefore then

$\bf \textit{Periodic Exponential Decay}\\\\
A=I(1 - r)^{\frac{t}{p}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &400\\
r=rate\to 20\%\to \frac{20}{100}\to &0.20\\
t=\textit{elapsed time}\\
p=period\to &2
\end{cases}
\\\\\\
A=400(1-0.2)^{\frac{t}{2}}$

now, how many units will it had decreased by the 9th year? t = 9

$\bf A=400(1-0.2)^{\frac{9}{2}}$

8 0

4 years ago

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a tabletop in the shape a trapezoid has an area of 6550 square centimeters its longer base measures 115 centimeters and the shor

makkiz [27]

Hight=6550/(115*85）
=6550/9775
=265/391centimeter

7 0

3 years ago

Under which conditions will sugar most likely dissolve fastest in a cup of water?

Ket [755]

Answer:

d. sugar crystals with stirring at 15°C

Step-by-step explanation:

The rate of the dissolving of the sugar depends upon the quantity of sugar added, the temperature of the liquid, and the movement of the particles.
According to the given question, the sugar crystals added in the cup of water and is stirred at the temperature of 15 degrees Celsius, the sugar will dissolve the fastest.
In this case, the sugar is in crystal form and not in the cubes, there is a motion by stirring them and the temperature is warm.

3 0

3 years ago

Mrs. Smith teaches junior high school. During a class party in fourth

MArishka [77]

Question is Incomplete, Complete question is given below.

Mrs.Smith teaches junior high school. During a class party in fourth period, she used 4/5 liters of soda for 12 students. If she had a class party in fifth period and used the same serving size, how many liters did she use for 30 students?

Answer:

Mrs. Smith used 2 liters of soda for 30 students.

Step-by-step explanation:

Given:

Number of students = 12

Amount of soda used for 12 students = 4/5 liters

We need to find amount of soda used for 30 students.

For 12 students = 4/5 liters of soda used

For 30 students = the amount of soda used

By Using Unitary Method we get

Amount of soda used = $\frac{4\times30}{5\times12}=\frac{120}{60} =2 \ litres$

Hence Mrs. Smith used 2 liters of soda for 30 students.

5 0

3 years ago

Jacob and Mark started taking a test at the same time. Jacob finished his test 10 minutes before Mark. Which equation represents

ludmilkaskok [199]

M-10=j is your answer

4 0

4 years ago

Read 2 more answers

A bag weighs 4100 grams (g). How much does this bag weigh in kilograms (kg)?​

A bag weighs 4100 grams (g). How much does this bag weigh in kilograms (kg)?