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2 years ago

A department store buys 300 shirts for a total cost of $7200 and sells them for $30 each. Find a percent mark up.

Mathematics

1 answer:

zaharov [31]2 years ago

4 0

Answer:

25%

Step-by-step explanation:

7200 ÷ 300 = 24

30 - 24 = 6

6/24 × 100/1 = 25%

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A biologist recorded a count of 360 bacteria present in a culture after 5 minutes and 1000 bacteria present after 20 minutes. Wr

maksim [4K]

Answer:

$r = \frac{ln(\frac{25}{9})}{15}= 0.06811008317$

$A_o = \frac{360}{e^{5*0.06811008317}} = 256.0963179$

And our exponential model would be:

$A(t) = 256.0963179 e^{0.06811008317 t}$

Step-by-step explanation:

We want to adjust an exponential model given by this general expression:

$A(t)= A_o e^{rt}$

Where A(t) represent the number of bacteria after some t minuts

t represent the time in minutes

$A_o$ represent the initial amount of bacteria

$r$ represent the growth/decay rate

For this problem we know the following two conditions:

$A(5)= 360, A(20) = 1000$

Using the first condition we have this:

$360 = A_o e^{5r}$

We can solve for the initial amount $A_o$ and we got:

$A_o = \frac{360}{e^{5r}}$ (1)

Now using the second condition we have this:

$1000 = A_o e^{20r}$ (2)

Replacing equation (1) into (2) we have this:

$1000 =\frac{360}{e^{5r}} e^{20r} = 360 e^{15r}$ (3)

Now we can divide both sides by 360 and we got:

$\frac{1000}{360}=\frac{25}{9}= e^{15r}$

Now we can apply natural log on both sides and we got:

$ln(\frac{25}{9}) = 15r$

And solving for r we got:

$r = \frac{ln(\frac{25}{9})}{15}= 0.06811008317$

And replacing this value of r into equation (1) we got:

$A_o = \frac{360}{e^{5*0.06811008317}} = 256.0963179$

And our exponential model would be:

$A(t) = 256.0963179 e^{0.06811008317 t}$

8 0

3 years ago

Micha is playing a game with five cards numbered 1 through 5. He will place the cards in a bag and draw one card at random three

snow_tiger [21]

Answer: 0.008

Step-by-step explanation:

We have 3 experiments.

Each experiment is exactly the same: "Drawing the card with the number 5, out of a bag with five cards".

in a random selection all the cards have exactly the same probability of being drawn, so the probability of drawing the 5, is equal to the quotient between the number of cards with the 5 (only one) and the total number of cards in the bag (5) then the probability is:

p = 1/5.

And we want this event to happen 3 consecutive times, then the total probability is equal to the product of the probabilities for each event:

P = (1/5)*(1/5)*(1/5) = 1/125 = 0.008

3 0

3 years ago

What is the solution to the equation -3(h+5)+2 = 4(n+6)-9

elixir [45]

here is your answer. i think i did it right.