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ira [324]
4 years ago
14

A population of 6000 animals decrease at an annual rate of 0.7%. What is the expected population in 12 years? Round your answer

to the nearest whole number.
Mathematics
1 answer:
solmaris [256]4 years ago
6 0

Answer:

The population is expected to be 5515 animals in 12 years.

Step-by-step explanation:

This problem can be solved by using a compounded interest formula with a negative interest rate, since the number of animals are decreasing. We have:

final population = initial population * (1 - r)^(t)

Where r is rate of decline and t is the time elapsed. Applying the data from the question we have:

final population = 6000*(1 - 0.007)^(12)

final population = 6000*(0.993)^12 = 5514.9582 animals

The population is expected to be 5515 animals in 12 years.

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Leya [2.2K]

9514 1404 393

Answer:

  • clockwise
  • 90°
  • origin

Step-by-step explanation:

The answer statement tells you the transformation is a rotation. The original is in the 2nd quadrant, and the image is in the 1st quadrant, representing a clockwise rotation. AB points east, while A'B' points south, a rotation of 90° (clockwise). Each image point is the same distance from the origin as its preimage point. The origin is the center of rotation.

__

∆ABC is transformed by a <u> clockwise </u> rotation <u> 90 </u> degrees with a center at the <u> origin </u>.

6 0
3 years ago
When Ms. Perez has excellent service at a restaurant, the amount she leaves for a tip t is at least 20% of the cost of the meal
Feliz [49]

Answer:

t ≥ 0.2c

Step-by-step explanation:

Her tip is at least 20% of the cost of the meal, so her tip is greater than or equal to 20% of the cost of the meal

tip ≥ 20% of the cost of the meal

t ≥ 20% of c

Another way of writing "20% of c" is multiplying the two values, so we have

20% of c = 20% * c

t ≥ 20% * c

To convert from a percentage to a decimal, we can divide the percentage by 100. Here, we have

20% = 0.2

t ≥ 0.2 * c

5 0
3 years ago
A salesman receives a commission of $4 for every pair of dress shoes he sells. He is paid $3 for every pair of athletic shoes he
Crank

Answer: he sold 9 pairs of dress shoes.

he sold 4 pairs of athletic shoes.

Step-by-step explanation:

Let x represent the number of pairs of dress shoes that he sells.

Let y represent the number of pairs of athletic shoes that he sells.

The total number of pairs of shoes that he sold in a day is 13. It means that

x + y = 13

The salesman receives a commission of $4 for every pair of dress shoes he sells. He is paid $3 for every pair of athletic shoes he sells. The commission that he got on that day was $48. It means that

4x + 3y = 48- - - - - - - - - - 1

Substituting x = 13 - y into equation 1, it becomes

4(13 - y) + 3y = 48

52 - 4y + 3y = 48

- 4y + 3y = 48 - 52

- y = - 4

y = 4

x = 13 - y = 13 - 4

x = 9

4 0
3 years ago
What is 141.15 as a rational number
V125BC [204]
The answer is 14115/100.
The definition of a rational number is a number that can be divided by a integer.
So pi for example is an irrational number because it continuously goes on.
You can't divide pi accurate in a fraction.
7 0
3 years ago
A log splitter can split 6/5 cords of wood in 4/5 of an hour. Complete the unit rate by setting up a complex fraction and simpli
Digiron [165]

Answer:

1½ cords per hour

Step-by-step explanation:

A log splitter can split 6/5 cords of wood in 4/5 of an hour.

To find a unit rate, we divide the quantity of cords of wood by the time.

This gives us the complex fraction.

\frac{ \frac{6}{5} }{ \frac{4}{5} }

This is the same as

\frac{6}{5}  \div  \frac{4}{5}

To divide two fractions, we multiply by the reciprocal of the second fraction.

\frac{6}{5}   \times   \frac{5}{4}

\frac{3}{1}   \times   \frac{1}{2}

This simplifies to:

\frac{3}{2}  = 1 \frac{1}{2}

The unit rate is 1.5 cords per hour

3 0
3 years ago
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