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il63 [147K]
2 years ago
11

You have been averaging 55 sales per day. Per our new policy, everyone needs to increase his or her sales per day by 10% in the

next month. Rounding up, by next month you will need to be up to __________ sales.
Mathematics
1 answer:
Mariulka [41]2 years ago
8 0
To find your new number of sales per month, you will need to find the number of sales you have per month (based on 30 days per month).  

55 x 20 = 1650 sales.

Than, you will need to calculate what 10% of this is and add it to your original sales number.

0.1 (10%) x 1650 = 165

1650 + 165 = 1815

You will need approximately 1815 sales based on the 30 day month.
You might be interested in
Assuming that the Chinese population continues to grow at the same rate, how many years until the population reaches 1.5 billion
faltersainse [42]

Answer:

29 years

Step-by-step explanation:

The population of the Chinese people is 1.3 bn, and they grow at a rate of 0.49% per year. To get the number of years it requires to reach 1.5 bn, we use this method

after x years, the population will be

1.3 * 1.0049^x

so you just need to solve

1.3 * 1.0049^x = 1.5

1.0049^x = 1.5/1.3

x log 1.0049 = log(1.5/1.3)

x = log(1.5/1.3)/log(1.0049)

x = 0.062 / 0.002122

x = 29.25 years

Therefore, at the rate of 0.49%, the Chinese population of 1.3bn needs 29 years to clock 1.5 bn

8 0
2 years ago
A publishing company prints newspapers and magazines. Let NNN represent the number of newspapers and MMM represent the number of
adelina 88 [10]

Answer:

At most 800 magazines the company can print daily with the remaining number of ink cartridges.

Step-by-step explanation:

We are given the following in the question:

0.5N+2.5M \leq 6000

The above inequality gives the relation for daily supply of ink cartridges where N is the number of newspaper and M is the number of magazines.

Number of newspaper to be printed daily,N = 8000

We have to find the number of magazines at most can the company print daily with the remaining number of ink cartridges.

Puting the value in the given inequality,

0.5(8000)+2.5M \leq 6000\\\Rightarrow 4000+2.5M \leq 6000\\\Rightarrow 2.5M \leq 2000\\\\\Rightarrow M \leq \dfrac{2000}{2.5}\\\\\Rightarrow M \leq 800

Thus, at most 800 magazines the company can print daily with the remaining number of ink cartridges.

6 0
2 years ago
Which equation is the inverse of (x minus 4) squared minus two-thirds = 6y minus 12?
mario62 [17]

Answer:

The correct option is option B.

Step-by-step explanation:

The given function is

(x - 4)^{2} - \frac{2}{3} = 6y - 12

We can rearrange the function as

(x - 4)^{2} - \frac{2}{3} = 6y - 12

⇒ 3(x - 4)² - 2 = 18y - 36

⇒ 3(x - 4)² = 18y - 34

⇒ (x - 4)^{2} = 6y - \frac{34}{3}

⇒ x - 4 = \pm \sqrt{6y - \frac{34}{3}}

⇒ x = 4 \pm \sqrt{6y - \frac{34}{3}}

Therefore, the inverse function will be, y = 4 \pm \sqrt{6x - \frac{34}{3}}

Therefore, the correct option is option B. (Answer)

7 0
2 years ago
Read 2 more answers
Zöe schedules advertising for a radio station. She must fill 12 minutes each hour with 30 second ads and 60 second ads. Zöe sold
PilotLPTM [1.2K]
I cannot see Zoe's work to explain the error, but the correct method of solving is listed:

x is the number of 30-second ads
y is the number of 60-second ads

x+y=12(60)=720 would be the first equation; this is because while the ads together make 12 minutes, the ad times are in seconds.  This means we must multiply 12 by 60.

y=2x is the second equation

Our system is then
x+y=720
y=2x

We will use substitution to solve this.  Plug 2x in place of y in the first equation:
x+2x = 720

Combine like terms:
3x = 720

Divide both sides by 3:
3x/3 = 720/3
x = 240

Substitute this value in for x in the second equation:
y=2(240)
y=480
8 0
2 years ago
Conservation of Species A certain species of turtle faces extinction because dealers collect truckloads of turtle eggs to be sol
JulijaS [17]

Answer:

The turtle population's rate of growth will be 32 turtles per year after 2 years and 248 per year after 6 years.

Ten years after the conservation measures are implemented the population will be 3260 turtles.

Step-by-step explanation:

To find the rate of growth of the turtle population at any time <em>t</em> you need to find N'(t)

\frac{d}{dt}N(t)=\frac{d}{dt}(2t^3+3t^2-4t+1000)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\\frac{d}{dt}(2t^3)+\frac{d}{dt}(3t^2)-\frac{d}{dt}(4t)+\frac{d}{dt}(1000)\\\\\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}\\\\N'(t)=6t^2+6t-4

In particular, when t = 2 and t = 6, we have

N'(2)=6(2)^2+6(2)-4=32\\\\N'(6)=6(6)^2+6(6)-4=248

so the turtle population's rate of growth will be 32 turtles per year after 2 years and 248 per year after 6 years.

The turtle population at the end of the tenth year will be

N(10)=2(10)^3+3(10)^2-4(10)+1000\\N(10)=3260 \:turtles

3 0
2 years ago
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