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3 years ago

The population is 20,000 now and expected to grow at an annual rate of 5%.

Mathematics

1 answer:

zaharov [31]3 years ago

8 0

Answer:

Whats the question?

Step-by-step explanation:

it grows by 5% of 20,000 every year, which is 1,000. So each year it increases by 1,000, and after 20 years the population would have doubled. There is no real question, so I hope this information is enough to help you with your work.

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A candy store sells candies in 1/4 pound boxes. Kim bough 3 1/4 pounds of candies for a school party. How many bags did she buy?

NemiM [27]

Answer:

13 bags

Step-by-step explanation:

3 0

3 years ago

I need help asap!!!!!

tino4ka555 [31]

Answer:34

Step-by-step explanation:

6 0

3 years ago

Solve, then write, each equation in slope intercept form.

djyliett [7]

Answer:

1) (3,5)

2) (4,-7)

3) (6,4)

4) (-4,-3)

Step-by-step explanation:

Subtract y from both sides of the equation.

x = 8 − y

x − y = −2

Replace all occurrences of x in x − y = −2 with 8 − y.

x = 8 − y

(8 − y) − y = −2

Subtract y from −y.

x = 8 − y

8 − 2y = −2

Solve for y in the second equation.

x = 8 − y

y = 5

Replace all occurrences of y in x = 8 − y with 5.

x = 8 −(5)

y = 5

Simplify 8 −(5).

x = 3

y = 5

Slope = (3,5)

Multiply each term by 2 and simplify.

2x+y=12

y+6=−x−4

Move all terms containing variables to the left side of the equation.

2x+y=1x+2

y+6=−4

Move all terms not containing a variable to the right side of the equation.

2x+y=1x+2

y=−10

Multiply each equation by the value that makes the coefficients of x opposite.

2x+y=1(−2)⋅

(x+2y)=(−2)(−10)

Simplify.

2x+y=1−2x−4

y=20

Add the two equations together to eliminate x from the system.

2x+y=1+−2x−4

y=20−3

y=21

Divide each term by −3 and simplify.

y = −7

Substitute the value found for y into one of the original equations, then solve for x.

x = 4

slope (4,-7)

Subtract y from both sides of the equation.

2x−y=8x−y=2

Multiply each equation by the value that makes the coefficients of y opposite

2x−y=8(−1)⋅

(x−y)=(−1)(2)

Simplify. 2x−y=8

−x+y=−2

Add the two equations together to eliminate y from the system.

2x−y=8 + −x+y=−2x=6

Substitute the value found for x into one of the original equations, then solve for y.

y=4

slope (6,4)

Simplify 2(x+1).

y−3=2x+2

y=−3(x+5)

Simplify −3(x+5)

y−3=2x+2

y=−3x−15

Move all terms containing variables to the left side of the equation.

−2x+y−3=2

y=−3x−15

Add 3x to both sides of the equation.

−2x+y−3=2

y+3x=−15

Move all terms not containing a variable to the right side of the equation.

−2x+y=5

y+3x=−15

Reorder the polynomial.

−2x+y=5

3x + y=−15

Multiply each equation by the value that makes the coefficients of y opposite.

−2x+y=5(−1)⋅

(3x+y)=(−1)(−15)

Simplify.

−2x+y=5

−3x−y=15

Add the two equations together to eliminate y from the system.

−2x+y=5 + −3x−y=15−5x=20

Divide each term by −5 and simplify.

x=−4

Substitute the value found for x into one of the original equations, then solve for y.

y=−3

slope (-4,-3)

4 0

3 years ago

1. Jose and Carlos received P 450 as prize for

Ipatiy [6.2K]

Answer:

1.Jose received 5/9×P450=P250

2.A dozen =12

12/3=4×165=660

3.40/1002/5

4. 100/60×9=15

5. 60/100×40=24

8 0

3 years ago

An insurance company examines its pool of auto insurance customers and gathers the following information: (i) All customers insu

ankoles [38]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

An insurance company examines its pool of auto insurance customers and gathers the following information: (i) All customers insure at least one car. (ii) 70% of the customers insure more than one car. (iii) 20% of the customers insure a sports car. (iv) Of those customers who insure more than one car, 15% insure a sports car. Calculate the probability that a randomly selected customer insures exactly one car, and that car is not a sports car?

Answer:

P( X' ∩ Y' ) = 0.205

Step-by-step explanation:

Let X is the event that the customer insures more than one car.

Let X' is the event that the customer insures exactly one car.

Let Y is the event that customer insures a sport car.

Let Y' is the event that customer insures not a sport car.

From the given information we have

70% of customers insure more than one car.

P(X) = 0.70

20% of customers insure a sports car.

P(Y) = 0.20

Of those customers who insure more than one car, 15% insure a sports car.

P(Y | X) = 0.15

We want to find out the probability that a randomly selected customer insures exactly one car, and that car is not a sports car.

P( X' ∩ Y' ) = ?

Which can be found by

P( X' ∩ Y' ) = 1 - P( X ∪ Y )

From the rules of probability we know that,

P( X ∪ Y ) = P(X) + P(Y) - P( X ∩ Y ) (Additive Law)

First, we have to find out P( X ∩ Y )

From the rules of probability we know that,

P( X ∩ Y ) = P(Y | X) × P(X) (Multiplicative law)

P( X ∩ Y ) = 0.15 × 0.70

P( X ∩ Y ) = 0.105

So,

P( X ∪ Y ) = P(X) + P(Y) - P( X ∩ Y )

P( X ∪ Y ) = 0.70 + 0.20 - 0.105

P( X ∪ Y ) = 0.795

Finally,

P( X' ∩ Y' ) = 1 - P( X ∪ Y )

P( X' ∩ Y' ) = 1 - 0.795

P( X' ∩ Y' ) = 0.205

Therefore, there is 0.205 probability that a randomly selected customer insures exactly one car, and that car is not a sports car.

6 0

3 years ago