The harbor at Green Top Lake has a lot of algae. However, as it gets colder, algae starts dying. At the beginning of fall, there 150,000 square feet of algae. Suppose half of the algae dies per month. What is the relationship between time and amount of algae?
discrete or continuous

Answer:

Interest = $1330

Amount = $4830

Step-by-step explanation:

Given

Principal = $3500

Rate = 4.75%

Time T = 8 years

Interest =PRT/100

Interest = 3500*4.75*8/100

Interest = 35*4.75*8

Interest = $1,330

Hence the interest earned by Mr. Bayless is  $1,330

Amount after 8years = Principal + Interest

Amount after 8years = 3500+1330

Amount after 8years = $4830

Hence the amount after 8years is $4830

Answer:

4

Step-by-step explanation:

Answer:

30

Explanation:

To begin, first find the length of the third side of the triangle. We are given that the two short sides of the triangle have lengths of 5 and 12. Use the Pythagorean Theorem to find the length of the third side:

a2+b2=c2,

where a and b represent the two shorter sides of the triangle, and c is the hypotenuse:

a2+b2=c2

52+122=c2

25+144=c2

169=c2

169−−−√=c2−−√

c=13

Now that we have the lengths of all three sides, add them together to find the perimeter:

5+12+13=30

The perimeter of the triangle is 30.

Answer:

2,4,6,8,10,12,14,16,18,20,22,24,26,28 for 2 3,6,9,12,15,18,21,24,27 for 3

Step-by-step explanation:

for both 6,12,18,24

Answer:

a) 1/13

b) 0.077

c) 7.69%

Step-by-step explanation:

4 kings in a standard 52 card deck. Just find the fraction of 4/52 and then you will be able to find the percent, decimal and of course, fraction.

Answer:

Here are all 52 cards

A♥ 2♥ 3♥ 4♥ 5♥ 6♥ 7♥ 8♥ 9♥ 10♥ J♥ Q♥ K♥

A♦ 2♦ 3♦ 4♦ 5♦ 6♦ 7♦ 8♦ 9♦ 10♦ J♦ Q♦ K♦

A♠ 2♠ 3♠ 4♠ 5♠ 6♠ 7♠ 8♠ 9♠ 10♠ J♠ Q♠ K♠

A♣ 2♣ 3♣ 4♣ 5♣ 6♣ 7♣ 8♣ 9♣ 10♣ J♣ Q♣ K♣

Here are all the cards that are either a club or a 5:

5♥

5♦

5♠

A♣ 2♣ 3♣ 4♣ 5♣ 6♣ 7♣ 8♣ 9♣ 10♣ J♣ Q♣ K♣

Count them. There are 16.

So the probability is 16 out of 52 or 16/52 which reduces to 4/13.

Step-by-step explanation:

Step 1: figure out the total number of cards you might pull.

Write down all the possible cards and mark the ones that you would pull out (in our case we’ve been asked the probability of a club or a seven so we’re going to mark all the clubs and all the sevens):

hearts: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A

clubs: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A

spades: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A

diamonds: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A

This totals 16 cards. *

Step 2: Count the total number of cards in the deck(s). We have one deck, so the total = 52

Step 3: Write the answer as a fraction. Divide step 3 by Step 4:

16 / 52

Answer:

wait a minute are you in colege right now

Answer:

1/36

Step-by-step explanation:

There are 6 numbers on a die. You have a 1/6 chance of rolling a 3 and a 1/6 chance of rolling a 4. 1/6 times 1/6 = 1/36.

Answer:

yolo

Step-by-step explanation:

Answer:

106 will be it because if you count the degrees

Answer:

C) 5/3

Step-by-step explanation:

The ratio comparing red to blue marbles can be created by putting 5 and 3 together, since there are 5 red marbles and 3 blue marbles

This gets you 5/3

So, the correct answer is C) 5/3

Answer:

5/3

Step-by-step explanation:

This is because there are 5 red marbles and there are 3 blue marbles. If you put them side by side, the ratio is 5:3 or 5/3.

Choose all the expressions that are equal to 5/9×8.

A. 9÷5×8

B. 8/9×5

C. 5÷8×9

D. 5×1/9×8

E. 5×8

[tex] \purple{ \frac{5}{9} \times 8 = \frac{40}{9} = 4 \: \frac{4}{9} }[/tex]

[tex] \red{9 \div 5 \times 8 = \frac{9}{5} \times 8 = \frac{72}{5} = 14 \: \frac{2}{5} }[/tex]

[tex] \red{ \frac{8}{9} \times 5 = \frac{40}{9} = \boxed{4 \: \frac{4}{9} }}[/tex]

[tex] \red{5 \div 8 \times 9 = \frac{5}{8} \times 9 = \frac{45}{8} = 5 \: \frac{5}{8} }[/tex]

[tex] \red{5 \times \frac{1}{9} \times 8 = \frac{5}{9} \times 8 = \frac{40}{9} = \boxed{4 \: \frac{4}{9} }}[/tex]

[tex] \red{5 \times 8 = 40}[/tex]

B and D

Hope it helps

Answer:

You can substitute

4

as

x

in the first equation because

x

and

4

are equal.

2

(

4

)

+

y

=

29

8

+

y

=

29

y

=

21

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Missy has 156 cards in total. Since we know she has 4 times as many as them, we divide 156 by 4

156/4= 39

Ashe has 17 cards and we still don't know how many Caleb has. Since we know that they have 39 cards together, we need to subtract Ashe's cards to find how many Caleb has

39-17=22

Let's check our work

Caleb has 22 cards

Ashe has 17 cards

Together they have 39

Which is 4 times less than how many cards Missy has

Missy has 156 cards

We are correct!

Answer: x is greater than 5

Step-by-step explanation: pls mark brainliest

Answer:

36.43m

Step-by-step explanation:

Let the wingspan of the real aeroplane = x

The scale of the model is 4 cm to 15 m.

= 4: 15 = 4/15.

Sunita's model has a wingspan of 17cm.

Hence:

4cm/15m = 17cm/xm

Cross Multiply

4x = 15 × 17

4x = 255

x = 255/4

x = 36.428571429 m

Approximately = 36.43 m

Therefore, the wingspan of the real aeroplane is 36.43m

Answer: x^3 / x^3 - a^2y

Step-by-step explanation: Simplify the expression.

I hope this helps you out!

Answer:

Um, ya I don't know

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

Well, lets see. 5x+9x+40 is 180 degrees. So 14x+40=180. 14x=140. So x=10

Answer:

d - hundreds

Step-by-step explanation:

290- 2 hundred

Answer:

D

Step-by-step explanation:

Answer:

oi and you might get 50 points

Answer:

Thank you!

Step-by-step explanation:

You are making my day! BTW it is 25 points.

Answer:

x = 60°, y = 30°

Step-by-step explanation:

The sum of the triangle angles is always 180°

Therefore 90° + x + y = 180°

It is also known that x = 2y

// combine the given value of x into the previous expression

90° + 2y + y = 180°

2y + y = 180° - 90°

3y = 90°

// divide both sides by 3

y = 30°

// then combine the given value of y into the expression x = 2y

x = 2 * 30°

x = 60°

Answer:

x+8=10

x−4=22

x÷3=6

7x=28

Step-by-step explanation:

George has cut down a 60ft high oak tree. He now wants to chop it into smaller pieces. He first cuts it into two pieces that are both 30ft. And then he continues on into making ten pieces that all are 6ft long before loading them onto his truck.

picture08

By looking at the different pieces of wood we can see that the following holds true.

60=30+30=6+6+6+6+6+6+6+6+6+6

This is called the reflexive property of equality and tells us that any quantity is equal to itself

a=a

We can also use this example with the pieces of wood to explain the symmetric property of equality. This property states that if quantity a equals quantity b, then b equals a.

ifa=b,thenb=a

Or if we use our example

if60=30+30,then30+30=60

Another property that can be explained by this is the transitive property of equality. It tells us that if a quantity a equals quantity b, and b equals the quantity, c, then a and c are equal as well.

ifa=bandb=c,thena=c

Or in the numbers taken from the oak tree example

if60=30+30

and30+30=6+6+6+6+6+6+6+6+6+6

then60=6+6+6+6+6+6+6+6+6+6

Since we know that 30 + 30 = 20 + 40 and that 30 + 30 = 60 we can substitute 30 + 30 for 20 + 40 and get 60 = 20 + 40. This is called the substitution property of equality.

If a = b, then a can be substituted for b in any expression.George has cut down a 60ft high oak tree. He now wants to chop it into smaller pieces. He first cuts it into two pieces that are both 30ft. And then he continues on into making ten pieces that all are 6ft long before loading them onto his truck.

picture08

By looking at the different pieces of wood we can see that the following holds true.

60=30+30=6+6+6+6+6+6+6+6+6+6

This is called the reflexive property of equality and tells us that any quantity is equal to itself

a=a

We can also use this example with the pieces of wood to explain the symmetric property of equality. This property states that if quantity a equals quantity b, then b equals a.

ifa=b,thenb=a

Or if we use our example

if60=30+30,then30+30=60

Another property that can be explained by this is the transitive property of equality. It tells us that if a quantity a equals quantity b, and b equals the quantity, c, then a and c are equal as well.

ifa=bandb=c,thena=c

Or in the numbers taken from the oak tree example

if60=30+30

and30+30=6+6+6+6+6+6+6+6+6+6

then60=6+6+6+6+6+6+6+6+6+6

Since we know that 30 + 30 = 20 + 40 and that 30 + 30 = 60 we can substitute 30 + 30 for 20 + 40 and get 60 = 20 + 40. This is called the substitution property of equality.

If a = b, then a can be substituted for b in any expression.

Answer:

the first time I get to the house w the flow I can go all night w and get a

Answer:

66.6667

2 out of 66.6667 is 3%

Step-by-step explanation:

2 out of what is 3%?

2 out of X is 3%

Equation: Y/X = P%

Solving our equation for X

X = Y/P%

X = 2/3%

Converting percent to decimal:

p = 3%/100 = 0.03

X = 2/0.03

X = 66.6667

Answer:

66.6667

2 out of 66.6667 is 3%

Step-by-step explanation:

2 out of what is 3%?

2 out of X is 3%

Equation: Y/X = P%

Solving our equation for X

X = Y/P%

X = 2/3%

Converting percent to decimal:

p = 3%/100 = 0.03

X = 2/0.03

X = 66.6667Answer:

Step-by-step explanation: