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suter [353]
3 years ago
5

A population of deer has a per capita rate of increase of 0.1 deer per year. if there are initially 300 deer in the population,

and the population is growing exponentially, how many deer will be in the population after 1 year?
Mathematics
1 answer:
Digiron [165]3 years ago
8 0
The deer will be in the population after one year is 330. The formula is 300 * 0.1 = 30 We will add the 30 to the initial deer in the population which is 300, so we will get the answer of 330. 330 is the population of the deer after one year.
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Henry was buying meals for his family. He bought 3 meals that included a chicken, corn, and a drink and spent a total of $20.25.
riadik2000 [5.3K]

Answer:

The price of each meal cost before tax is $ 6.367

Step-by-step explanation:

Given as :

The total price of three meals = $ 20.25

The sales tax included in the total price = 6 %

So, Let the cost of meal before sales tax = x

Or, x + 6 % of x = $ 20.25

or, x + 0.06 x = $ 20.25

Or, 1.06 x = $ 20.25

∴  x = \frac{20.25}{1.06}

I.e x = $ 19.10

Or, price of three meals before tax = $ 19.10

so, The price of each meal = \frac{19.10}{3} = $ 6.367

Hence The price of each meal cost before tax is $ 6.367   answer

5 0
3 years ago
The parking lot had 1.5 times as many trucks as cars. After 45 more cars came to the parking lot and 12 trucks left, there were
Harlamova29_29 [7]

Answer:

Total number of cars in the parking lot are 80.

Step-by-step explanation:

Let the number of cars = x and the number of trucks = y

Since, there are 1.5 times many cars than the truck, we get,

Number of cars = 1.5 time number of trucks

i.e. y=1.5x

Also, it is given that when 45 cars were added in the lot, 12 trucks left the parking lot.

So, we get,

Number of cars + 45 = Number of trucks - 12

i.e. x+45=1.5x-12

Finally, there are 17 cars more than the trucks.

We have the required equation, x+45=1.5y-12+17

i.e. x+45=1.5x+5

i.e. 45-5=1.5x-x

i.e. 40=0.5x

i.e. x= 80

Thus, the total number of cars in the parking lot are 80.

7 0
4 years ago
I can’t figure out the next smallest non negative solution. Can you please help me?
nlexa [21]

Let w = cos(x)

The given equation turns into -5w^2 + 4w + 1 = 0. Use the quadratic formula to find that the two solutions, in terms of w, are:

  • w = -1/5 = -0.2
  • w = 1

The solution w = 1 leads to cos(x) = 1 which then becomes x = 0, x = 2pi, x = 4pi, etc. The general way to write this is x = 2pi*n where n is any integer. These angles are in radian mode.

The solution w = -0.2 leads to cos(x) = -0.2 which becomes x = arccos(-0.2) = 1.77215 approximately assuming your teacher wants the angle in radian mode. Unfortunately, I don't know the exact value of x here. There may not be an exact value, or finding this exact value may be well beyond the scope of this course.

3 0
3 years ago
A school has an equal amount of boys and girls. You use a coin to simulate the first three students to arrive at school each day
Nimfa-mama [501]

Answer:3/20

Step-by-step explanation:

Heads=Boy

Tails=Girl

If the first 3 students are boys, all 3 coins must be heads.

Because in 3 of these experiments, the coins all land on heads, and there are 20 experiments completed, 3 out of the 20 experiments are 3 boys; 3/20.

3 0
3 years ago
A watch sells for $65. This week, it's on sale for $42.25. What is the percent of the discount?
Virty [35]

Answer:

35% off

65-42.25 = 22.75/65 = 0.35 = 35%

4 0
3 years ago
Read 2 more answers
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