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3 years ago

A phone is made in five different colours with three different storage capacities. How many combinations are there?

Mathematics

1 answer:

sattari [20]3 years ago

7 0

Answer:

15 possible combinations

Step-by-step explanation:

In order to find the total number of combinations possible, we need to multiply the total number of different colors by the total number of storage capacities that each phone can have. Using the values provided we would get the following arithmetic expression...

5 colors * 3 capacities = 15

Therefore, we can see that there are a total of 15 possible combinations with these variations.

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How would I do the steps to solve this?

allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

$R(p) = -10p^2+800p$

Taking derivative wrt p

$\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\$

Now putting R'(p) = 0

$-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40$

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

$R(40) = -10(40)^2 +800(40)\\= -10(1600) + 32000\\=-16000+32000\\=16000$

The maximum revenue is 16000 dollars (at p = 40)

3 0

3 years ago

Whats nine and eight four hundredths in standard from

Nookie1986 [14]

Do you mean 'nine and eighty four hundredths' in standard form? If so, it will be:

9.84

7 0

4 years ago

A magazine currently has 8700 subscribers for its online web version. It is adding members at the rate of R(t) = 190e0.03t subsc

aleksklad [387]

Number of subscriber the magazine will have after 3 years from now approximately be 8767

<u>Solution:</u>

Given that magazine currently has 8700 subscribers for its online web version

$\begin{array}{l}{\mathrm{R}(\mathrm{t})=190 \mathrm{e}^{0.03 \mathrm{t}} \text { subscribers/month }} \\\\ {\mathrm{S}(\mathrm{t})=\mathrm{e}^{-0.06 \mathrm{t}}}\end{array}$

After 3 years, time(t) = 36 month

Total number of subscribers after 3 years from now :

Substitute "t" = 36

$\begin{array}{l}{\mathrm{R}(36)=190 \mathrm{e}^{0.03 \times(36)}=190 \times(2.944)} \\\\ {\mathrm{R}(36) \approx 560} \\\\ {\mathrm{S}(36)=\mathrm{e}^{-0.06 \times(36)}=0.12}\end{array}$

Subscribers remaining = 0.12 x 560 = 67.2

The magazine currently has 8700 subscribers

Added Subscriber = 8700 + 560 = 9260

Remaining Subscriber = 8700 + 67.2 = 8767.2

Therefore number of subscriber the magazine will have after 3 years from now approximately be 8767

7 0

4 years ago

What is 8r-(5r+4) ≥-31

lesantik [10]

Answer:

r ≥ -9

Step-by-step explanation:

$8r-(5r+4)\geq -31\\8r-5r-4 \geq -31\\3r - 4 \geq -31\\3r \geq -27\\r \geq -9$

5 0

3 years ago

Michael is walking to school.He walks 24 blocks every 15 minutes.He wants to know how many blocks he is walking per minute.Write

MatroZZZ [7]

24/15 is the initial fraction. Divide both the numerator and denominator by 3 to get the answer: 8/5

7 0

3 years ago