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3 years ago

Helpppppp PLEASEEEE

Mathematics

1 answer:

atroni [7]3 years ago

8 0

We know that there was $5 left over, so we can set up an equation to solve for the price per water bottle:

$50 - 10x = 5\\-10x = -45\\x = 4.50$

Each water bottle cost $4.50

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Suppose that the number of bacteria in a certain population increases according to an exponential growth model. A sample of 2600

melisa1 [442]

Answer: There is 3.994% continuous growth rate per hour.

Step-by-step explanation:

Since we have given that

Initial bacteria = 2600

After two and a half hours,

Number of bacteria = 2873

We need to find the continuous growth rate per hour.

As we know the equation for continuous growth rate per hour.

$y=y_0e^{rt}\\\\2873=2600e^{2.5r}\\\\\dfrac{2873}{2600}=e^{2.5r}\\\\1.105=e^{2.5r}\\\\\text{Taking log on both the sides}\\\\\ln 1.105=2.5r\\\\0.0998=2.5r\\\\r=\dfac{0.0998}{2.5}\\\\r=0.0399\times 100\\\\r=3.994\%$

Hence, there is 3.994% continuous growth rate per hour.

3 0

4 years ago

Manny Brought a brand new car in 2012 for $28750. if the car depreciates by 12% each year, write n exponential function to model

alexira [117]

The formula for exponential decay is
$y=a(1-r)^{x}$

where a is the initial value (28750)
r is the rate of decrease (0.12)
x is the time, in this case in years (6 . 2018-2012 = 6 years)

$y=28750(1-0.12)^{6}$

<span>y </span>≈ <span>13351.62</span>

8 0

4 years ago

If tan 20= 3 root find the value theta

likoan [24]

Answer:

is there a diagram?

Step-by-step explanation:

3 0

3 years ago

Jordan works for a landscape company during his summer vacation. He is paid $12 per hour for mowing lawns and $14 per hour for p

vitfil [10]

Answer:

m+g $\leq$ 40

12m + 14g $\geq$ 250

Step-by-step explanation:

Jordan is paid $12 per hour for mowing lawns and $14 per hour for planting gardens.

Let m represents the number of hours mowing lawns and g represents the number of hours planting gardens.

He can work a maximum of 40 hours per week, and would like to earn at least $250 this week.

Then, the system of the inequality becomes

m+g $\leq$ 40

12m + 14g $\geq$ 250

8 0

3 years ago

a bank loaned out $18,000 part of it at the rate of 7% per year and the rest at 15% per year. if the interest received in one ye

alexdok [17]

I think it’s 2,000 but again I could be wrong I need like the options

8 0

3 years ago